[ { "instruction": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ? The options: A ) 38 , B ) 27.675 , C ) 30 , D ) DAtA inADEquAtE , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ? The options: A ) 129 , B ) 130 , C ) 124 , D ) 133 , E ) 145", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ? The options: A ) 156 , B ) 167 , C ) 870 , D ) 352 , E ) 380", "input": "", "output": "", "answer": "C" }, { "instruction": "the present population of a town is 3888 . population increase rate is 20 % p . a . find the population of town before 2 years ? The options: A ) 2500 , B ) 2100 , C ) 3500 , D ) 3600 , E ) 2700", "input": "", "output": "", "answer": "E" }, { "instruction": "the triplicate ratio of 1 : 9 is ? The options: A ) 1 : 0 , B ) 1 : 8 , C ) 1 : 7 , D ) 1 : 2 , E ) 1 : 729", "input": "", "output": "", "answer": "E" }, { "instruction": "the sum of all the integers s such that - 26 < s < 24 is The options: A ) 0 , B ) - 2 , C ) - 25 , D ) - 49 , E ) - 51", "input": "", "output": "", "answer": "D" }, { "instruction": "a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? The options: A ) 0.036 , B ) 0.36 , C ) 0.6 , D ) 6 , E ) 3.6", "input": "", "output": "", "answer": "A" }, { "instruction": "each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 35 - ounce cans or 25 - ounce cans of chili paste . if the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ? The options: A ) 60 , B ) 70 , C ) 80 , D ) 100 , E ) 120", "input": "", "output": "", "answer": "B" }, { "instruction": "if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ? The options: A ) 10 , B ) 4 , C ) 5 , D ) 8 , E ) 6", "input": "", "output": "", "answer": "D" }, { "instruction": "the population of a town is 8000 . it decreases annually at the rate of 20 % p . a . what will be its population after 3 years ? The options: A ) 5100 , B ) 4096 , C ) 5200 , D ) 5400 , E ) 5500", "input": "", "output": "", "answer": "B" }, { "instruction": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ? The options: A ) 2000 , B ) 2778 , C ) 2299 , D ) 2778 , E ) 2240", "input": "", "output": "", "answer": "E" }, { "instruction": "running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ? The options: A ) 648 , B ) 1800 , C ) 2400 , D ) 10800 , E ) 10900", "input": "", "output": "", "answer": "C" }, { "instruction": "there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ? The options: A ) 190 , B ) 191 , C ) 192 , D ) 193 , E ) 194", "input": "", "output": "", "answer": "C" }, { "instruction": "a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 13 . the rate of interest obtained is : The options: A ) 27 % , B ) 87 % , C ) 15 % , D ) 66 % , E ) 88 %", "input": "", "output": "", "answer": "C" }, { "instruction": "? % of 360 = 108 The options: A ) 30 , B ) 36 , C ) 64 , D ) 72 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a train 300 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 150 m long ? The options: A ) 40 , B ) 36 , C ) 41 , D ) 42 , E ) 34", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the sum of all digits for the number 10 ^ 29 - 41 ? The options: A ) 257 , B ) 242 , C ) 231 , D ) 202 , E ) 187", "input": "", "output": "", "answer": "A" }, { "instruction": "a train running at the speed of 120 km / hr crosses a pole in 18 seconds . what is the length of the train ? The options: A ) 560 , B ) 570 , C ) 580 , D ) 590 , E ) 600", "input": "", "output": "", "answer": "E" }, { "instruction": "a train 100 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ? The options: A ) 32 kmph , B ) 76 kmph , C ) 34 kmph , D ) 43 kmph , E ) 40 kmph", "input": "", "output": "", "answer": "A" }, { "instruction": "each month a retailer sells 100 identical items . on each item he makes a profit of $ 40 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ? The options: A ) 191 , B ) 213 , C ) 221 , D ) 223 , E ) 226", "input": "", "output": "", "answer": "D" }, { "instruction": "the average age of 15 students of a class is 14 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ? The options: A ) 3 yEArs , B ) 4 yEArs , C ) 5 yEArs , D ) 6 yEArs , E ) 7 yEArs", "input": "", "output": "", "answer": "B" }, { "instruction": "bookman purchased 55 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 460 , how many paperback copies were sold ? The options: A ) 10 , B ) 11 , C ) 12 , D ) 13 , E ) 9", "input": "", "output": "", "answer": "E" }, { "instruction": "diana is painting statues . she has 1 / 2 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ? The options: A ) 8 , B ) 20 , C ) 28 , D ) 14 , E ) 19", "input": "", "output": "", "answer": "A" }, { "instruction": "if the price of gasoline increases by 25 % and a driver intends to spend only 20 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? The options: A ) 2 % , B ) 3 % , C ) 4 % , D ) 5 % , E ) 6 %", "input": "", "output": "", "answer": "C" }, { "instruction": "an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1000 sculptures are not on display , how many pieces of art does the gallery have ? The options: A ) 360 , B ) 2250 , C ) 540 , D ) 640 , E ) 720", "input": "", "output": "", "answer": "B" }, { "instruction": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 60000 and ingrid makes $ 72000 , what is their combined tax rate ? The options: A ) 32 % , B ) 34.4 % , C ) 35 % , D ) 35.6 % , E ) 36.4 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 900 per sq . metre . The options: A ) s . 19,800 , B ) s . 15,600 , C ) s . 16,500 , D ) s . 17,600 , E ) s . 17,900", "input": "", "output": "", "answer": "A" }, { "instruction": "a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 \u00bd times that rate for hours worked in excess of 40 . what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 15 hours , 50 percent worked 40 hours , and the rest worked 50 hours ? The options: A ) $ 180,000 , B ) $ 185,000 , C ) $ 190,000 , D ) $ 177,500 , E ) $ 205,000", "input": "", "output": "", "answer": "D" }, { "instruction": "a corporation double its annual bonus to 100 of its employees . what percent of the employees \u2019 new bonus is the increase ? The options: A ) 50 % , B ) 12 % , C ) 8 % , D ) 6 % , E ) 5 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . then b alone can finish same work in how many days ? The options: A ) 50 , B ) 60 , C ) 45 , D ) 35 , E ) 48", "input": "", "output": "", "answer": "B" }, { "instruction": "two trains of equal length , running with the speeds of 60 and 16 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ? The options: A ) 10.11 , B ) 8.11 , C ) 77.2 , D ) 13.15 , E ) 22.22", "input": "", "output": "", "answer": "D" }, { "instruction": "calculate the ratio between x and y if 30 % of x equal to 50 % of y ? The options: A ) 4 : 5 , B ) 3 : 5 , C ) 3 : 7 , D ) 3 : 2 , E ) 4 : 5", "input": "", "output": "", "answer": "B" }, { "instruction": "three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 34 square meters . what is the area that is covered with three layers of wallpaper ? The options: A ) 43 squArE mEtErs , B ) 36 squArE mEtErs , C ) 42 squArE mEtErs , D ) 83.3 squArE mEtErs , E ) 120 squArE mEtErs", "input": "", "output": "", "answer": "A" }, { "instruction": "a meeting has to be conducted with 6 managers . find the number of ways in which the managers may be selected from among 9 managers , if there are 2 managers who refuse to attend the meeting together . The options: A ) 36 , B ) 40 , C ) 42 , D ) 45 , E ) 49", "input": "", "output": "", "answer": "E" }, { "instruction": "a trader bought a car at 20 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ? The options: A ) 82 % , B ) 52 % , C ) 12 % , D ) 19 % , E ) 22 %", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the unit digit in the product ( 3 ^ 65 x 6 ^ 59 x 7 ^ 71 ) ? The options: A ) 18 , B ) 12 , C ) 69 , D ) 32 , E ) 4", "input": "", "output": "", "answer": "E" }, { "instruction": "a start walking from a place at a uniform speed of 6 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b . The options: A ) 4.7 kmph , B ) 6.6 kmph , C ) 4 kmph , D ) 7 kmph , E ) 5.3 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "oak street begins at pine street and runs directly east for 2 kilometers until it ends when it meets maple street . oak street is intersected every 400 meters by a perpendicular street , and each of those streets other than pine street and maple street is given a number beginning at 1 st street ( one block east of pine street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of maple street . what is the highest - numbered street that intersects oak street ? The options: A ) 4 th , B ) 5 th , C ) 6 th , D ) 7 th , E ) 8 th", "input": "", "output": "", "answer": "A" }, { "instruction": "50 percent of the members of a study group are women , and 30 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ? The options: A ) 0.16 , B ) 0.25 , C ) 0.45 , D ) 0.35 , E ) 0.15", "input": "", "output": "", "answer": "E" }, { "instruction": "the cross - section of a cannel is a trapezium in shape . if the cannel is 14 m wide at the top and 8 m wide at the bottom and the area of cross - section is 550 sq m , the depth of cannel is ? The options: A ) 76 , B ) 28 , C ) 50 , D ) 80 , E ) 25", "input": "", "output": "", "answer": "C" }, { "instruction": "kim finds a 4 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ? The options: A ) 2 / 5 , B ) 7 / 5 , C ) 3 / 5 , D ) 8 / 15 , E ) 1 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "$ 350 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? The options: A ) $ 200 , B ) $ 225 , C ) $ 250 , D ) $ 275 , E ) $ 300", "input": "", "output": "", "answer": "C" }, { "instruction": "in an it company , there are a total of 90 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? The options: A ) 10 , B ) 45 , C ) 55 , D ) 35 , E ) 65", "input": "", "output": "", "answer": "B" }, { "instruction": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if arthur and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ? The options: A ) $ 0.32 , B ) $ 0.40 , C ) $ 0.45 , D ) $ 0.48 , E ) $ 0.54", "input": "", "output": "", "answer": "B" }, { "instruction": "( 3 x + 1 ) ( 2 x - 5 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? The options: A ) 5 , B ) 8 , C ) 9 , D ) 14 , E ) 11", "input": "", "output": "", "answer": "D" }, { "instruction": "if 6 men and 8 women can do a piece of work in 10 days while 26 men and 48 women can do the same in 2 days , the time taken by 15 men and 20 women in doing the same type of work will be ? The options: A ) 5 , B ) 4 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "B" }, { "instruction": "the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : The options: A ) 91 , B ) 10 , C ) 6 , D ) 5 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum of rs . 1360 has been divided among a , b and c such that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets . b ' s share is : The options: A ) rs . 120 , B ) rs . 160 , C ) rs . 240 , D ) rs . 300 , E ) rs . 500", "input": "", "output": "", "answer": "C" }, { "instruction": "how many cuboids of length 5 m , width 3 m and height 2 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height . The options: A ) 106 , B ) 109 , C ) 108 , D ) 101 , E ) 104", "input": "", "output": "", "answer": "C" }, { "instruction": "two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number . The options: A ) 4 / 12 , B ) 4 / 17 , C ) 4 / 15 , D ) 4 / 11 , E ) 4 / 03", "input": "", "output": "", "answer": "A" }, { "instruction": "find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder The options: A ) 1235 , B ) 1346 , C ) 1378 , D ) 1635 , E ) 1489", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of first three prime numbers greater than 5 is ? The options: A ) 12.6 , B ) 12.9 , C ) 22.3 , D ) 10.3 , E ) 12.7", "input": "", "output": "", "answer": "D" }, { "instruction": "in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? The options: A ) 901 , B ) 989 , C ) 990 , D ) 991 , E ) 1,001", "input": "", "output": "", "answer": "D" }, { "instruction": "if 12 : 8 : : x : 16 , then find the value of x The options: A ) 18 , B ) 24 , C ) 28 , D ) 16 , E ) 20", "input": "", "output": "", "answer": "B" }, { "instruction": "what least number must be subtracted from 3832 so that the remaining number is divisible by 5 ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "find the length of the wire required to go 14 times round a square field containing 5625 m 2 . The options: A ) 15840 , B ) 3388 , C ) 4200 , D ) 8766 , E ) 66711", "input": "", "output": "", "answer": "C" }, { "instruction": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 1 m x 2 m x 20 cm ? The options: A ) 5600 , B ) 6000 , C ) 237 , D ) 7200 , E ) 8600", "input": "", "output": "", "answer": "C" }, { "instruction": "spanish language broadcast records last 90 min on each of two sides . if it takes 3 hours to translate one hour of broadcast , how long will it take to translate 16 full records ? The options: A ) 144 hours , B ) 124 hours , C ) 134 hours , D ) 154 hours , E ) 164 hours", "input": "", "output": "", "answer": "A" }, { "instruction": "a began business with rs . 45000 and was joined afterwards by b with rs . 5400 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 6 , E ) 5", "input": "", "output": "", "answer": "A" }, { "instruction": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ? The options: A ) 15 hours , B ) 14 hours , C ) 12 hours , D ) 74 hours , E ) 79 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "how many seconds will a 650 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ? The options: A ) 48 , B ) 36 , C ) 26 , D ) 39 , E ) 18", "input": "", "output": "", "answer": "D" }, { "instruction": "today is thursday . i came home from a trip 3 days before the day after last monday . how many days have i been home ? The options: A ) 1 DAy , B ) 2 DAys , C ) 7 DAys , D ) 6 DAys , E ) 10 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "an article is bought for rs . 675 and sold for rs . 1100 , find the gain percent ? The options: A ) 65 % , B ) 64 % , C ) 63 % , D ) 62 % , E ) 61 %", "input": "", "output": "", "answer": "C" }, { "instruction": "in one hour , a boat goes 19 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is : The options: A ) 2 , B ) 4 , C ) 7 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "D" }, { "instruction": "a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 45,000 commission , how many machines did she sell ? The options: A ) 140 , B ) 103 , C ) 105 , D ) 115 , E ) 120", "input": "", "output": "", "answer": "A" }, { "instruction": "solve the equation for x : 6 x - 27 + 3 x = 4 + 9 - x The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a profit of rs . 900 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ? The options: A ) s . 280 , B ) s . 180 , C ) s . 380 , D ) s . 50 , E ) s . 90", "input": "", "output": "", "answer": "B" }, { "instruction": "a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b ? The options: A ) 7 , B ) 9 , C ) 8 , D ) 11 , E ) 10", "input": "", "output": "", "answer": "E" }, { "instruction": "calculate the share of y , if rs . 2880 is divided among x , y and z in the ratio 3 : 5 : 8 ? The options: A ) 540 , B ) 520 , C ) 140 , D ) 560 , E ) 240", "input": "", "output": "", "answer": "A" }, { "instruction": "3 years ago , paula was 3 times as old as karl . in 9 years , paula will be twice as old as karl . what is the sum of their ages now ? The options: A ) 42 , B ) 46 , C ) 50 , D ) 54 , E ) 58", "input": "", "output": "", "answer": "D" }, { "instruction": "a train running at the speed of 50 km / hr crosses a post in 4 seconds . what is the length of the train ? The options: A ) 90 , B ) 120 , C ) 60 , D ) 95 , E ) 75", "input": "", "output": "", "answer": "C" }, { "instruction": "if soundharya rows 49 km upstream and 77 km down steam taking 7 hours each , then the speed of the stream The options: A ) 6 kmph , B ) 5 kmph , C ) 2 kmph , D ) 3 kmph , E ) 4 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 140 inclusive is the digital sum a multiple of 7 ? The options: A ) 7 , B ) 8 , C ) 14 , D ) 15 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of 2 numbers is 2 : 5 and their h . c . f . is 6 . their l . c . m . is ? The options: A ) 20 , B ) 24 , C ) 52 , D ) 36 , E ) 60", "input": "", "output": "", "answer": "E" }, { "instruction": "20 beavers , working together in a constant pace , can build a dam in 6 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ? The options: A ) 10 . , B ) 4 . , C ) 5 . , D ) 6 , E ) 8 .", "input": "", "output": "", "answer": "A" }, { "instruction": "if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ? The options: A ) 82 , B ) 84 , C ) 86 , D ) 88 , E ) 90", "input": "", "output": "", "answer": "C" }, { "instruction": "a person buys an article at rs . 575 . at what price should he sell the article so as to make a profit of 15 % ? The options: A ) 600 , B ) 277 , C ) 269 , D ) 661.25 , E ) 281", "input": "", "output": "", "answer": "D" }, { "instruction": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many t hours will it take if jim types the report and mary edits it immediately after he is done ? The options: A ) 41.4 , B ) 34.1 , C ) 13.4 , D ) 12.4 , E ) 10.8", "input": "", "output": "", "answer": "A" }, { "instruction": "an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of a ? The options: A ) 656 , B ) 456 , C ) 756 , D ) 745 , E ) 720", "input": "", "output": "", "answer": "C" }, { "instruction": "what least value should be replaced by * in 2551112 * so the number become divisible by 6 The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "what number is obtained by adding the units digits of 734 ^ 100 and 347 ^ 83 ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "in two triangles , the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4 . find the ratio of their bases . The options: ['A ) 2 : 3', 'B ) 4 : 5', 'C ) 16 : 9', 'D ) 7 : 9', 'E ) 8 : 5']", "input": "", "output": "", "answer": "C" }, { "instruction": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 15 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? The options: A ) rs . 950 , B ) rs . 1500 , C ) rs . 600 , D ) rs . 1200 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the probability of drawing a queen from a deck of 52 cards ? The options: A ) 4 / 13 , B ) 1 / 13 , C ) 4 , D ) 1 , E ) 2 / 13", "input": "", "output": "", "answer": "B" }, { "instruction": "a thief goes away with a santro car at a speed of 50 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ? The options: A ) A ) 2 , B ) B ) 5 , C ) C ) 7 , D ) D ) 5 , E ) E ) 8", "input": "", "output": "", "answer": "A" }, { "instruction": "the average weight of 18 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . The options: A ) 48.68077 , B ) 42.25983 , C ) 50 , D ) 51.25388 , E ) 52.25", "input": "", "output": "", "answer": "A" }, { "instruction": "how many words , with or without meaning , can be formed using all letters of the word good using each letter exactly once ? The options: A ) 18 , B ) 20 , C ) 22 , D ) 23 , E ) 24", "input": "", "output": "", "answer": "E" }, { "instruction": "in right triangle abc , ac is the hypotenuse . if ac is 40 and ab + bc = 60 , what is the area of the triangle abc ? The options: A ) 225 , B ) 450 , C ) 25 \u221a 2 , D ) 500 , E ) 200 \u221a 2", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of the area of a square to that of the square drawn on its diagonal is The options: A ) 1 : 2 , B ) 1 : 0 , C ) 1 : 7 , D ) 1 : 5 , E ) 1 : 6", "input": "", "output": "", "answer": "A" }, { "instruction": "a 4 digit number divisible by 7 becomes divisible by 3 when 19 is added to it . the largest such number is : The options: A ) 4461 , B ) 4473 , C ) 4479 , D ) 4487 , E ) 4491", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the probability for a family with 3 children to have a girl and two boys ( assuming the probability of having a boy or a girl is equal ) ? The options: A ) 1 / 8 , B ) 1 / 4 , C ) 1 / 2 , D ) 3 / 8 , E ) 5 / 8", "input": "", "output": "", "answer": "D" }, { "instruction": "a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 30 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? The options: A ) 6.8 , B ) 7.4 , C ) 7.7 , D ) 8.2 , E ) 8.6", "input": "", "output": "", "answer": "B" }, { "instruction": "if x + | x | + y = 7 and x + | y | - y = 5 what is x + y = ? The options: A ) 1 , B ) - 1 , C ) 3 , D ) 5 , E ) 13", "input": "", "output": "", "answer": "D" }, { "instruction": "a 240 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ? The options: A ) 260 , B ) 250 , C ) 240 , D ) 230 , E ) 220", "input": "", "output": "", "answer": "A" }, { "instruction": "34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 9 feet , and the diagonal of the rectangular plate was 15 ft . what is height of the of the cylinder ? The options: ['A ) 12', 'B ) 15', 'C ) 10', 'D ) 8', 'E ) 14']", "input": "", "output": "", "answer": "A" }, { "instruction": "what quantity of water should be added to reduce 9 liters of 50 % acidic liquid to 30 % acidic liquid ? The options: A ) 6 litErs , B ) 8 litErs , C ) 10 litErs , D ) 12 litErs , E ) 15 litErs", "input": "", "output": "", "answer": "A" }, { "instruction": "a man gains 20 % by selling an article for a certain price . if the sells it at double the price , the percentage of profit will be : The options: A ) 327 , B ) 140 , C ) 277 , D ) 178 , E ) 112", "input": "", "output": "", "answer": "D" }, { "instruction": "the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 46 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? The options: A ) 55 , B ) 56 , C ) 57 , D ) 58 , E ) 59", "input": "", "output": "", "answer": "E" }, { "instruction": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 18 days , a finished the remaining work . in how many days a alone can finish the job ? The options: A ) 10 , B ) 24 , C ) 60 , D ) 30 , E ) 20", "input": "", "output": "", "answer": "B" }, { "instruction": "a student gets 55 % in one subject , 65 % in the other . to get an overall of 55 % how much should get in third subject . The options: A ) 75 % , B ) 25 % , C ) 45 % , D ) 55 % , E ) 65 %", "input": "", "output": "", "answer": "C" }, { "instruction": "in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 4000 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ? The options: A ) 16000 , B ) 10000 , C ) 40000 , D ) 12000 , E ) 5000", "input": "", "output": "", "answer": "C" }, { "instruction": "there are 28 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ? The options: A ) 800 , B ) 820 , C ) 850 , D ) 870 , E ) 900", "input": "", "output": "", "answer": "D" }, { "instruction": "what percent is 7 gm of 1 kg ? The options: A ) 0.7 % , B ) 0.5 % , C ) 2.5 % , D ) 3.5 % , E ) 4 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? The options: A ) 14 % , B ) 23 % , C ) 30 % , D ) 50 % , E ) 100 %", "input": "", "output": "", "answer": "A" }, { "instruction": "25 is subtracted from 75.00001 % of a number , the result is 50 . find the number ? The options: A ) 150 , B ) 75 , C ) 125 , D ) 95 , E ) 100", "input": "", "output": "", "answer": "E" }, { "instruction": "an association of mathematics teachers has 1,500 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ? The options: A ) 75 % , B ) 58 % , C ) 42 % , D ) 34 % , E ) 21 %", "input": "", "output": "", "answer": "E" }, { "instruction": "half a number plus 7 is 11 . what is the number ? The options: A ) 8 , B ) 9 , C ) 10 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "if 5 % more is gained by selling an article for rs . 1000 than by selling it for rs . 20 , the cost of the article is ? The options: A ) 127 , B ) 1600 , C ) 1200 , D ) 1680 , E ) 1800", "input": "", "output": "", "answer": "B" }, { "instruction": "of the total amount that jill spent on a shopping trip , excluding taxes , she spent 25 percent on clothing , 25 percent on food , and 50 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 2 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? The options: A ) 3 , B ) 4.5 , C ) 4 , D ) 3.5 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain pond , 55 fish were caught , tagged , and returned to the pond . a few days later , 55 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ? The options: A ) 400 , B ) 625 , C ) 1250 , D ) 1528 , E ) 10 000", "input": "", "output": "", "answer": "D" }, { "instruction": "how many 1 / 6 s are there in 37 1 / 2 ? The options: A ) 225 , B ) 425 , C ) 520 , D ) 600 , E ) 700", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the smallest positive perfect square that is divisible by 4 , 9 , and 18 ? The options: A ) 36 , B ) 81 , C ) 144 , D ) 625 , E ) 900", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio between the present ages of a and b is 7 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? The options: A ) 3 : 4 , B ) 3 : 0 , C ) 9 : 1 , D ) 9 : 2 , E ) 3 : 9", "input": "", "output": "", "answer": "C" }, { "instruction": "two vessels contains equal number of mixtures milk and water in the ratio 3 : 2 and 4 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? The options: A ) 1 : 3 , B ) 9 : 13 , C ) 5 : 11 , D ) 7 : 3 , E ) 15 : 4", "input": "", "output": "", "answer": "D" }, { "instruction": "from a pack of 52 cards , 1 card is drawn at random . what is the probability that a red king is drawn ? The options: A ) 1 / 2 , B ) 1 / 4 , C ) 1 / 13 , D ) 1 / 26 , E ) 1 / 52", "input": "", "output": "", "answer": "D" }, { "instruction": "if sharon ' s weekly salary increased by 15 percent , she would earn $ 460 per week . if instead , her weekly salary were to increase by 10 percent , how much would she earn per week ? The options: A ) rs . 400 , B ) rs . 440 , C ) rs . 150 , D ) rs . 460 , E ) rs . 520", "input": "", "output": "", "answer": "B" }, { "instruction": "a fruit seller had some oranges . he sells 10 % oranges and still has 360 oranges . how many oranges he had originally ? The options: A ) 420 , B ) 700 , C ) 220 , D ) 400 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ? The options: A ) 22.5 % , B ) 24 % , C ) 30 % , D ) 33 % , E ) 20 %", "input": "", "output": "", "answer": "B" }, { "instruction": "it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she rides her bike for 10 minutes , how much time will she spend doing yoga ? ( rounded to minutes ) The options: A ) 10 min . , B ) 41 min . , C ) 17 min . , D ) 23 min . , E ) 25 min .", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of the bridge , which a train 180 metres long and travelling at 45 km / hr can cross in 30 seconds , is ? The options: A ) 876 m , B ) 157 m , C ) 195 m , D ) 156 m , E ) 167 m", "input": "", "output": "", "answer": "C" }, { "instruction": "the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the difference the sum and the number if the ratio between the digits of the number is 1 : 2 ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? The options: A ) 424 . , B ) 428 . , C ) 430 . , D ) 432 . , E ) 436", "input": "", "output": "", "answer": "D" }, { "instruction": "if the average ( arithmetic mean ) of a and b is 100 , and the average of b and c is 160 , what is the value of a \u2212 c ? The options: A ) \u2212 120 , B ) \u2212 100 , C ) 100 , D ) 135 , E ) it CAn not BE DEtErminED From thE inFormAtion givEn", "input": "", "output": "", "answer": "A" }, { "instruction": "in a company of 11 employees , 5 employees earn $ 32,000 , 4 employees earn $ 45,000 , and the 2 highest - paid employees earn the same amount . if the average annual salary for the 11 employees is $ 48,000 , what is the annual salary for each of the highest - paid employees ? The options: A ) $ 90,000 , B ) $ 94,000 , C ) $ 98,000 , D ) $ 102,000 , E ) $ 106,000", "input": "", "output": "", "answer": "B" }, { "instruction": "if n = 2 ^ 0.20 and n ^ b = 16 , b must equal The options: A ) 3 / 80 , B ) 3 / 5 , C ) 20 , D ) 5 / 3 , E ) 80 / 3", "input": "", "output": "", "answer": "C" }, { "instruction": "a man buys an item at rs . 800 and sells it at the loss of 20 percent . then what is the selling price of that item The options: A ) rs . 640 , B ) rs . 760 , C ) rs . 860 , D ) rs . 960 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 14 per cubic meter ? The options: A ) 1386 , B ) 2799 , C ) 2890 , D ) 1485 , E ) 2780", "input": "", "output": "", "answer": "A" }, { "instruction": "rani bought more apples than oranges . she sells apples at \u20b9 23 apiece and makes 15 % profit . she sells oranges at \u20b9 10 apiece and makes 25 % profit . if she gets \u20b9 653 after selling all the apples and oranges , find her profit percentage z . The options: A ) 16.8 % , B ) 17.4 % , C ) 17.9 % , D ) 18.5 % , E ) 19.1 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the sum of digits of a two digit number is 13 , the difference between the digits is 5 . find the number The options: A ) 85 , B ) 94 , C ) 83 , D ) 72 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "if 8 men or 12 women can do a piece of work in 25 days , in how many days can the same work be done by 6 men and 11 women ? The options: A ) 10 DAys , B ) 11 DAys , C ) 13 DAys , D ) 15 DAys , E ) 17 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 140 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train . The options: A ) 45 kmph , B ) 50 kmph , C ) 55 kmph , D ) 60 kmph , E ) 79 kmph", "input": "", "output": "", "answer": "E" }, { "instruction": "a train 125 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is : The options: A ) 10 km / hr , B ) 50 km / hr , C ) 14 km / hr , D ) 17 km / hr , E ) 77 km / hr", "input": "", "output": "", "answer": "B" }, { "instruction": "0.002 x 0.6 = ? The options: A ) 0.0012 , B ) 0.001 , C ) 0.01 , D ) 0.1 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "find the average of all the number between 6 and 34 which are divisible by 5 . The options: A ) 18 , B ) 20 , C ) 24 , D ) 30 , E ) 32", "input": "", "output": "", "answer": "B" }, { "instruction": "if the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is ? The options: A ) A ) 15 , B ) B ) 10 , C ) C ) 14 , D ) D ) 12 , E ) E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "a and b can do a piece of work in 7 days , b and c in 8 days , c and a in 9 days . how long will c take to do it ? The options: A ) 14.1 DAys , B ) 18.8 DAys , C ) 21.4 DAys , D ) 24.3 DAys , E ) 26.5 DAys", "input": "", "output": "", "answer": "C" }, { "instruction": "oil cans x and y are right circular cylinders and the height and radius of y are each 5 times those of x . if the oil in can x filled to capacity sells for $ 1 , how much does the oil in y sell for if y is only 1 / 5 th filled ? The options: A ) $ 25 , B ) $ 26 , C ) $ 27 , D ) $ 28 , E ) $ 30", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the smallest positive integer x , such that 1,152 x is a perfect cube ? The options: A ) 4 , B ) 6 , C ) 8 , D ) 12 , E ) 18", "input": "", "output": "", "answer": "D" }, { "instruction": "car x began traveling at an average speed of 35 miles per hour . after 36 minutes , car y began traveling at an average speed of 38 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ? The options: A ) 105 , B ) 140 , C ) 175 , D ) 210 , E ) 245", "input": "", "output": "", "answer": "E" }, { "instruction": "cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 51 after it went on sale for 15 % off , what is the difference between the original price and the final price ? The options: A ) $ 0.00 , B ) $ 1.00 , C ) $ 3.75 , D ) $ 5.00 , E ) $ 6.80", "input": "", "output": "", "answer": "C" }, { "instruction": "2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations . what is the ratio of their speeds ? The options: A ) 11 : 9 , B ) 11 : 2 , C ) 91 : 9 , D ) 11 : 1 , E ) 11 : 5", "input": "", "output": "", "answer": "A" }, { "instruction": "a grocer has a sale of rs . 4435 , rs . 4927 , rs . 4855 , rs . 5230 and rs . 4562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 4500 ? The options: A ) 1991 , B ) 2991 , C ) 3991 , D ) 4521 , E ) 5991", "input": "", "output": "", "answer": "B" }, { "instruction": "the set s consists of 5 numbers : { 1 , 2,3 , 4,5 } . if all possible subsets including the null set are created and one subset is chosen at random , what is the probability that the subset has 4 or 5 as its largest number ? The options: A ) 1 / 2 , B ) 2 / 3 , C ) 3 / 4 , D ) 5 / 8 , E ) 11 / 16", "input": "", "output": "", "answer": "C" }, { "instruction": "at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 211 ? The options: A ) 1,108 , B ) 2,100 , C ) 2,108 , D ) 2,124 , E ) 2,180", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the sum of all 3 digit integers formed using the digits 34 and 5 ( repetition is allowed ) The options: A ) 11982 , B ) 11984 , C ) 11985 , D ) 11988 , E ) 11986", "input": "", "output": "", "answer": "D" }, { "instruction": "two men are going along a track rail in the opposite direction . one goods train crossed the first person in 20 sec . after 10 min the train crossed the other person who is coming in opposite direction in 18 sec . after the train has passed , when the two persons will meet ? The options: A ) 95 minutEs , B ) 90 minutEs , C ) 88 minutEs , D ) 95 minutEs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 35 min , then the slower pipe alone will be able to fill the tank in ? The options: A ) 229 , B ) 787 , C ) 144 , D ) 128 , E ) 140", "input": "", "output": "", "answer": "E" }, { "instruction": "if x ^ 2 + y ^ 2 = 20 and xy = 3 , then ( x \u2212 y ) ^ 2 = The options: A ) 8 , B ) 11 , C ) 14 , D ) 17 , E ) 20", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the smallest positive integer x such that 108 x is the cube of a positive integer ? The options: A ) 2 , B ) 4 , C ) 8 , D ) 10 , E ) 7", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 6 people in the elevator . their average weight is 150 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . The options: A ) 157 , B ) 168 , C ) 189 , D ) 190 , E ) 200", "input": "", "output": "", "answer": "A" }, { "instruction": "average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 20 % the new mean is $ 860 . what was original rent of friend whose rent is increased ? The options: A ) 800 , B ) 900 , C ) 1000 , D ) 1100 , E ) 1200", "input": "", "output": "", "answer": "E" }, { "instruction": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 10 m of the same rod ? The options: A ) 38 kg , B ) 25.6 kg , C ) 28 kg , D ) 26.5 kg , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "8 men can dig a pit in 20 days . if a man works half as much again a s a boy , then 4 men and 9 boys can dig a similar pit in : The options: A ) 10 DAys , B ) 12 DAys , C ) 15 DAys , D ) 16 DAys , E ) 20 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "john makes $ 40 a week from his job . he earns a raise and now makes $ 70 a week . what is the % increase ? The options: A ) 16 % , B ) 16.66 % , C ) 17.9 % , D ) 18.12 % , E ) 75 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a train is 410 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length The options: A ) 20 sEConDs , B ) 44 sEConDs , C ) 40 sEConDs , D ) 50 sEConDs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 15 terms of the arithmetic progression ? The options: A ) 3 , B ) 1 / 3 , C ) 2 , D ) 9 , E ) 1 / 9", "input": "", "output": "", "answer": "C" }, { "instruction": "the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 40 , what is the greatest possible value that one of the other 2 integers can have ? The options: A ) 55 , B ) 65 , C ) 119 , D ) 109 , E ) 115", "input": "", "output": "", "answer": "C" }, { "instruction": "if f ( x ) = 3 x ^ 4 - 4 x ^ 3 - 2 x ^ 2 + 6 x , then f ( - 1 ) = The options: A ) - 2 , B ) - 1 , C ) 0 , D ) 1 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "an uneducated retailer marks all his goods at 50 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ? The options: A ) 12.50 % , B ) 13.50 % , C ) 14 % , D ) 14.50 % , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "the mass of 1 cubic meter of a substance is 300 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) The options: A ) 3.33 , B ) 3.34 , C ) 3.53 , D ) 5.32 , E ) 3.92", "input": "", "output": "", "answer": "A" }, { "instruction": "a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 50 % on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ? The options: A ) 1 : 20 , B ) 1 : 10 , C ) 3 : 8 , D ) 3 : 4 , E ) 3 : 2", "input": "", "output": "", "answer": "C" }, { "instruction": "a train 520 m long can cross an electric pole in 20 sec and then find the speed of the train ? The options: A ) 88 kmph , B ) 94 kmph , C ) 72 kmph , D ) 16 kmph , E ) 18 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "in a throw of dice what is the probability of ge \u00e6 \u00ab ng number greater than 4 The options: A ) 1 / 2 , B ) 1 / 3 , C ) 1 / 5 , D ) 1 / 6 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "in a particular state , 60 % of the counties received some rain on monday , and 65 % of the counties received some rain on tuesday . no rain fell either day in 25 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ? The options: A ) 12.5 % , B ) 40 % , C ) 50 % , D ) 60 % , E ) 67.5 %", "input": "", "output": "", "answer": "C" }, { "instruction": "two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction . what time will they take to be 8.5 km apart ? The options: A ) 17 hr , B ) 14 hr , C ) 12 hr , D ) 19 hr , E ) 23 hr", "input": "", "output": "", "answer": "A" }, { "instruction": "two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team q . if team a ' s average speed was 5 mph greater than team q ' s , what was team q ' s average mph ? The options: A ) 12 , B ) 15 , C ) 18 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "D" }, { "instruction": "the average salary of the employees in a office is rs . 120 / month . the avg salary of officers is rs . 460 and of non officers is rs 110 . if the no . of officers is 15 , then find the no of nonofficers in the office . The options: A ) 400 , B ) 420 , C ) 430 , D ) 450 , E ) 510", "input": "", "output": "", "answer": "E" }, { "instruction": "the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : The options: A ) 100 , B ) 120 , C ) 180 , D ) 140 , E ) 60", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 672 find the share of a . The options: A ) 256 , B ) 388 , C ) 379 , D ) 277 , E ) 122", "input": "", "output": "", "answer": "A" }, { "instruction": "a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number age of the family now is ? The options: A ) 17 , B ) 98 , C ) 88 , D ) 85 , E ) 83", "input": "", "output": "", "answer": "D" }, { "instruction": "a began business with rs . 27000 and was joined afterwards by b with rs . 54000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? The options: A ) 9 , B ) 6 , C ) 7 , D ) 8 , E ) 2", "input": "", "output": "", "answer": "A" }, { "instruction": "in a recent election , james received 2.1 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 46 percent of the vote . how many additional votes would james have needed to win the election ? The options: A ) 901 , B ) 879 , C ) 990 , D ) 991 , E ) 1,001", "input": "", "output": "", "answer": "B" }, { "instruction": "a , band c can do a piece of work in 11 days , 20 days and 20 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ? The options: A ) 7 DAys , B ) 8 DAys , C ) 9 DAys , D ) 10 DAys , E ) 11 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "let c be defined as the sum of all prime numbers between 0 and 38 . what is c / 3 The options: A ) 155 , B ) 76.6 , C ) 61 , D ) 47 , E ) 43", "input": "", "output": "", "answer": "B" }, { "instruction": "out of 40 applicants to a law school , 15 majored in political science , 20 had a grade point average higher than 3.0 , and 10 did not major in political science and had a gpa equal to or lower than 3.0 . how many t applicants majored in political science and had a gpa higher than 3.0 ? The options: A ) 5 , B ) 10 , C ) 15 , D ) 25 , E ) 35", "input": "", "output": "", "answer": "A" }, { "instruction": "two numbers a and b are such that the sum of 5 % of a and 2 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . The options: A ) 2 : 1 , B ) 1 : 2 , C ) 4 : 3 , D ) 10 : 3 , E ) 3 : 2", "input": "", "output": "", "answer": "D" }, { "instruction": "a man invests some money partly in 9 % stock at 96 and partly in 12 % stock at 120 . to obtain equal dividends from both , he must invest the money in the ratio ? The options: A ) 16 : 18 , B ) 16 : 13 , C ) 16 : 15 , D ) 16 : 12 , E ) 16 : 11", "input": "", "output": "", "answer": "C" }, { "instruction": "20 men do a work in 20 days . how many men are needed to finish the work in 10 days ? The options: A ) 50 , B ) 20 , C ) 30 , D ) 10 , E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "if 5 a = 6 b and ab \u2260 0 , what is the ratio of a / 6 to b / 5 ? The options: A ) 36 / 25 , B ) 10 / 12 , C ) 1 , D ) 1 / 5 , E ) 25 / 36", "input": "", "output": "", "answer": "C" }, { "instruction": "a dishonest milkman wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing rs . 33 per litre so as to make a profit of 25 % on cost when he sells the resulting milk and water mixture for rs . 36 in what ratio should he mix the water and milk ? The options: A ) 1 : 20 , B ) 1 : 10 , C ) 1 : 8 , D ) 1 : 4 , E ) 21 : 124", "input": "", "output": "", "answer": "E" }, { "instruction": "gary \u2019 s gas station serves an average of 15 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary \u2019 s station serve over the course of a typical week ? The options: A ) 1,120 , B ) 1,200 , C ) 1,240 , D ) 1,280 , E ) 1,320", "input": "", "output": "", "answer": "A" }, { "instruction": "x does a work in 20 days . y does the same work in 30 days . in how many days they together will do the same work ? The options: A ) 10 , B ) 12 , C ) 20 , D ) 30 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 3.5 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill ) The options: A ) 14 / 15 , B ) 15 / 14 , C ) 4 / 5 , D ) 6 / 5 , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "D" }, { "instruction": "a container contains 1000 liters of milk , from this container 10 liters of milk was taken out and replaced by water . this process was repeated further 2 times . how much milk is now contained by the container ? The options: A ) 970.3 litErs , B ) 1000.45 litErs , C ) 879.65 litErs , D ) 1020.56 litErs , E ) 910.95 litErs", "input": "", "output": "", "answer": "A" }, { "instruction": "the workforce of company x is 60 % female . the company hired 20 additional male workers , and as a result , the percent of female workers dropped to 50 % . how many employees did the company have after hiring the additional male workers ? The options: A ) 145 , B ) 188 , C ) 189 , D ) 190 , E ) 191", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 216 sq . cm , what is the width of the rectangle ? The options: A ) 12 Cm , B ) 16 Cm , C ) 18 Cm , D ) 20 Cm , E ) 22 Cm", "input": "", "output": "", "answer": "A" }, { "instruction": "a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . how many feet does the squirrel travels if the post is 18 feet tall and 3 feet in circumference ? The options: A ) 10 FEEt , B ) 12 FEEt , C ) 13 FEEt , D ) 15 FEEt , E ) 18 FEEt", "input": "", "output": "", "answer": "E" }, { "instruction": "in an electric circuit , two resistors with resistances 3 ohm and 5 ohm are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is the value ? The options: ['A ) 15 ohms', 'B ) 15 / 8 ohms', 'C ) 1 / 8 ohms', 'D ) 8 / 15 ohms', 'E ) 8 ohms']", "input": "", "output": "", "answer": "B" }, { "instruction": "a and b enterd into a partnership investing rs . 16000 and rs . 12000 respectively . after 3 months , a withdrew rs . 5000 while b invested rs . 5000 more . after 3 more months . c joins the business with a capital of rs . 21000 . the share of b exceeds that of c , out of a total profit of rs . 26400 after one year by The options: A ) rs . 2400 , B ) rs . 3000 , C ) rs . 3600 , D ) rs . 4800 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "in what proportion must flour at $ 0.8 per pound be mixed with flour at $ 0.9 per pound so that the mixture costs $ 0.815 per pound ? The options: A ) 1 : 3 , B ) 1 : 2 , C ) 6 : 1 , D ) 2 : 1 , E ) 3 : 1", "input": "", "output": "", "answer": "C" }, { "instruction": "if the cost price of 20 articles is equal to the selling price of 25 articles , what is the % profit or % loss made by the merchant ? The options: A ) 25 % loss , B ) 25 % proFit , C ) 20 % loss , D ) 20 % proFit , E ) 5 % proFit", "input": "", "output": "", "answer": "C" }, { "instruction": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 155 m . then , a wins by : The options: A ) 60 m , B ) 20 m , C ) 40 m , D ) 20 m , E ) 23 m", "input": "", "output": "", "answer": "C" }, { "instruction": "dan ' s age after 16 years will be 6 times his age 4 years ago . what is the present age of dan ? The options: A ) 8 , B ) 10 , C ) 12 , D ) 14 , E ) 16", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of two quantities is 10 : 7 . if each of the quantities is increased by 2 , their ratio changes to 15 : 11 then the greatest number is ? The options: A ) 10 , B ) 12 , C ) 15 , D ) 16 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "by selling 20 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ? The options: A ) 8 , B ) 9 , C ) 7 , D ) 6 , E ) 5", "input": "", "output": "", "answer": "E" }, { "instruction": "after decreasing 24 % in the price of an article costs rs . 1216 . find the actual cost of an article ? The options: A ) 1667 , B ) 6789 , C ) 1200 , D ) 1600 , E ) 1421", "input": "", "output": "", "answer": "D" }, { "instruction": "if ( 18 ^ a ) * 9 ^ ( 3 a \u2013 1 ) = ( 2 ^ 3 ) ( 3 ^ b ) and a and b are positive integers , what is the value of a ? The options: A ) 22 , B ) 11 , C ) 9 , D ) 6 , E ) 3", "input": "", "output": "", "answer": "E" }, { "instruction": "a student traveled 10 percent of the distance of the trip alone , continued another 30 miles with a friend , and then finished the last half of the trip alone . how many miles long was the trip ? The options: A ) 75 , B ) 100 , C ) 125 , D ) 150 , E ) 175", "input": "", "output": "", "answer": "A" }, { "instruction": "a bag marked at $ 250 is sold for $ 120 . the rate of discount is ? The options: A ) 10 % , B ) 25 % , C ) 20 % , D ) 52 % , E ) 45 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a can do a piece of work 30 days . b can do work in 45 days . in how many days they will complete the work together ? The options: A ) 15 DAys , B ) 16 DAys , C ) 19 DAys , D ) 17 DAys , E ) 18 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "the ratio of 2 numbers is 3 : 7 and their h . c . f . is 12 . their l . c . m . is ? The options: A ) 20 , B ) 24 , C ) 252 , D ) 136 , E ) 160", "input": "", "output": "", "answer": "C" }, { "instruction": "average between two sets of numbers is closer to the set with morenumbers ? The options: A ) 70 , B ) 80 , C ) 85 , D ) 90 , E ) 95", "input": "", "output": "", "answer": "B" }, { "instruction": "a can do a piece of work in 20 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in The options: A ) 10 DAys , B ) 6 DAys , C ) 7.5 DAys , D ) 8.5 DAys , E ) 9 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the probability that the sum of two dice will yield a 6 , and then when both are thrown again , their sum will again yield a 6 ? assume that each die has 5 sides with faces numbered 1 to 5 . The options: A ) 1 / 144 , B ) 1 / 25 , C ) 1 / 12 , D ) 1 / 6 , E ) 1 / 3", "input": "", "output": "", "answer": "B" }, { "instruction": "the average of runs of a cricket player of 10 innings was 34 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? The options: A ) 78 , B ) 79 , C ) 85 , D ) 87 , E ) 89", "input": "", "output": "", "answer": "A" }, { "instruction": "a truck covers a distance of 288 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ? The options: A ) 6 hours , B ) 5 hours , C ) 7 hours , D ) 8 hours , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ? a . 15 b . 18 The options: A ) 22 , B ) 18 , C ) 99 , D ) 77 , E ) 24", "input": "", "output": "", "answer": "B" }, { "instruction": "if 65 percent of a class answered the first question on a certain test correctly , 50 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? The options: A ) 25 % , B ) 30 % , C ) 35 % , D ) 40 % , E ) 45 %", "input": "", "output": "", "answer": "C" }, { "instruction": "john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 56000 and ingrid makes $ 73000 , what is their combined tax rate ? The options: A ) 32 % , B ) 34.4 % , C ) 35 % , D ) 35.6 % , E ) 36.4 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the average ( arithmetic mean ) of 20 , 40 , and 60 is 6 more than the average of 10 , 70 , and what number ? The options: A ) 15 , B ) 25 , C ) 35 , D ) 22 , E ) 55", "input": "", "output": "", "answer": "D" }, { "instruction": "if 150 ! / 10 ^ n is an integer , what is the largest possible value of n ? The options: A ) 38 , B ) 47 , C ) 32 , D ) 36 , E ) 37", "input": "", "output": "", "answer": "E" }, { "instruction": "the average height of 20 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 131 cm . what was the actual average height of the students in the class ? The options: A ) 174 Cm , B ) 173 Cm , C ) 172 Cm , D ) 171 Cm , E ) 170 Cm", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain number of workers can do a work in 85 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ? The options: A ) 75 , B ) 30 , C ) 28 , D ) 24 , E ) 32", "input": "", "output": "", "answer": "A" }, { "instruction": "in cliff \u2019 s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 4 / 5 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 40 shiny igneous rocks , how many total rocks does cliff have ? The options: A ) 30 , B ) 150 , C ) 60 , D ) 90 , E ) 135", "input": "", "output": "", "answer": "B" }, { "instruction": "car z travels 48 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ? The options: A ) 320 , B ) 384 , C ) 400 , D ) 408.3 , E ) 440", "input": "", "output": "", "answer": "B" }, { "instruction": "mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 24000 , how much amount per month would he have spent on clothes and transport ? The options: A ) 2000 , B ) 8076 , C ) 9691.2 , D ) 4845.6 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "in the class of 50 students , 30 speak tamil and 40 speak telugu . what is the lowest possible number of students who speak both the languages ? The options: A ) A ) 8 , B ) B ) 10 , C ) C ) 20 , D ) D ) 30 , E ) E ) 32", "input": "", "output": "", "answer": "C" }, { "instruction": "two trains start simultaneously from opposite ends of a 175 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 175 - km trip in 4 hours . train y , travelling at a constant rate , completes the 175 - km trip in 3 hours . how many kilometers had train x traveled when it met train y ? The options: A ) 66 , B ) 69 , C ) 72 , D ) 75 , E ) 78", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of two numbers is 16 . the difference is 4 . what are the two numbers ? let x be the first number . ley y be the second number x + y = 16 x - y = 4 The options: A ) 10 AnD 6 , B ) 10 AnD 5 , C ) 10 AnD 4 , D ) 10 AnD 3 , E ) 10 AnD 2", "input": "", "output": "", "answer": "A" }, { "instruction": "if 6 x = 8 y = 10 z , then what is a possible sum of positive integers x , y , and z ? The options: A ) 52 , B ) 58 , C ) 84 , D ) 94 , E ) 168", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the rate percent when the simple interest on rs . 2000 amount to rs . 320 in 4 years ? The options: A ) 4.5 % , B ) 4.25 % , C ) 4 % , D ) 4.3 % , E ) 4.1 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a ratio between two numbers is 4 : 5 and their l . c . m . is 200 . the first number is The options: A ) 60 , B ) 40 , C ) 20 , D ) 15 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ? The options: A ) rs . 9800 , B ) rs . 3800 , C ) rs . 9800 , D ) rs . 6800 , E ) rs . 6880", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum of money at simple interest amounts to rs . 835 in 3 years and to rs . 854 in 4 years . the sum is : The options: A ) 647 , B ) 698 , C ) 778 , D ) 847 , E ) 976", "input": "", "output": "", "answer": "C" }, { "instruction": "when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 81.1 , what is the value of n ? The options: A ) 9 , B ) 20 , C ) 55 , D ) 70 , E ) 81", "input": "", "output": "", "answer": "E" }, { "instruction": "if a person walks at 10 km / hr instead of 8 km / hr , he would have walked 14 km more . the actual distance traveled by him is ? The options: A ) 50 , B ) 40 , C ) 56 , D ) 16 , E ) 20", "input": "", "output": "", "answer": "C" }, { "instruction": "if twice of a number divided by 3 d gives 20 as the remainder , and 5 times of the same number gives 32 as the remainder . what will be the value of d ? The options: A ) 11 , B ) 12 , C ) 15 , D ) 14 , E ) 18", "input": "", "output": "", "answer": "B" }, { "instruction": "17 : 71 : : 18 : ? The options: A ) 80 , B ) 25 , C ) 36 , D ) 81 , E ) 56", "input": "", "output": "", "answer": "D" }, { "instruction": "3 people candidates contested an election and they received 1136 , 7636 and 11628 votes respectively . what is the percentage of the total votes did the winning candidate get ? The options: A ) 40 % , B ) 45 % , C ) 57 % , D ) 58 % , E ) 60 %", "input": "", "output": "", "answer": "C" }, { "instruction": "in the faculty of reverse - engineering , 500 second year students study numeric methods , 300 second year students study automatic control of airborne vehicles and 300 second year students study them both . how many students are there in the faculty if the second year students are approximately 50 % of the total ? The options: A ) 1100 , B ) 1200 , C ) 1150 , D ) 1000 , E ) 1050", "input": "", "output": "", "answer": "D" }, { "instruction": "two pipes a and b can separately fill a tank in 8 and 10 minutes respectively . a third pipe c can drain off 15 liters of water per minute . if all the pipes are opened , the tank can be filled in 10 minutes . what is the capacity of the tank ? The options: A ) 590 litErs , B ) 160 litErs , C ) 740 litErs , D ) 560 litErs , E ) 120 litErs", "input": "", "output": "", "answer": "E" }, { "instruction": "what annual installment will discharge a debt of $ 1092 due in 3 years at 12 % simple interest ? The options: A ) $ 210 , B ) $ 115 , C ) $ 295 , D ) $ 325 , E ) $ 415", "input": "", "output": "", "answer": "D" }, { "instruction": "a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 40 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? The options: A ) 40 , B ) 33 , C ) 50 , D ) 51 , E ) 52", "input": "", "output": "", "answer": "A" }, { "instruction": "if 12 men or 20 women can do a piece of work in 54 days , then in how many days can 9 men and 12 women together do the work ? The options: A ) 10 DAys , B ) 30 DAys , C ) 20 DAys , D ) 80 DAys , E ) 40 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "set q consists of integers { 3 , - 8 , y , 19 , - 6 } and set b consists of integers { k , - 3 , 0 , 16 , - 5 , 9 } . number l represents the median of set q , number m represents mode of set b and number z = l ^ m . if y is an integer greater than 21 , for what value of k will z be a divisor of 26 ? The options: A ) - 2 , B ) - 1 , C ) 0 , D ) 1 , E ) 2", "input": "", "output": "", "answer": "C" }, { "instruction": "gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 13 times as heavy as water ? The options: A ) 1 : 2 , B ) 2 : 3 , C ) 4 : 1 , D ) 5 : 2 , E ) 6 : 5", "input": "", "output": "", "answer": "B" }, { "instruction": "x and y are both integers . if x / y = 59.60 , then what is the sum of all the possible two digit remainders of x / y ? The options: A ) 560 , B ) 315 , C ) 672 , D ) 900 , E ) 1024", "input": "", "output": "", "answer": "B" }, { "instruction": "a and b started a business jointly a ' s investment was thrice the investment of b and the period of his investment was two times the period of investment of b . if b received rs . 4000 as profit , then their total profit is The options: A ) 23477 , B ) 28000 , C ) 28877 , D ) 1987 , E ) 1771", "input": "", "output": "", "answer": "B" }, { "instruction": "excluding stoppages , the average speed of a bus is 100 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? The options: A ) 15 min , B ) 18 min , C ) 16 min , D ) 20 min , E ) 36 min", "input": "", "output": "", "answer": "E" }, { "instruction": "tom traveled the entire 60 miles trip . if he did the first 15 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 45 miles per hour , what is the his average speed , in miles per hour ? The options: A ) 35.62 mph , B ) 25.45 mph , C ) 34.52 mph , D ) 36.92 mph , E ) 36.29 mph", "input": "", "output": "", "answer": "D" }, { "instruction": "a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 325,000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? The options: A ) $ 1,354 , B ) $ 1,733 , C ) $ 3,466 , D ) $ 13,333 , E ) $ 20,796", "input": "", "output": "", "answer": "A" }, { "instruction": "80 white and black tiles will be used to form a 10 x 10 square pattern . if there must be at least one black tile in every row and at least one white tile in every column , what is the maximum difference between the number of black and white tiles that can be used ? The options: A ) 75 , B ) 80 , C ) 85 , D ) 90 , E ) 60", "input": "", "output": "", "answer": "E" }, { "instruction": "if w is the set of all the integers between 49 and 114 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? The options: A ) 34 , B ) 44 , C ) 45 , D ) 55 , E ) 72", "input": "", "output": "", "answer": "B" }, { "instruction": "four machines , each working at the same constant rate , together can complete a certain job in 12 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 8 days ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "A" }, { "instruction": "a shopkeeper sold 8 articles at the cost price of 10 articles . then find the profit % or lost % The options: A ) 10 % , B ) 25 % , C ) 20 % , D ) 30 % , E ) 50 %", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the maximum number of pieces that a circular pizza can be cut into with 5 linear cuts ? The options: A ) 10 , B ) 14 , C ) 15 , D ) 16 , E ) 17", "input": "", "output": "", "answer": "D" }, { "instruction": "the general hospital is comprised of , 3 / 5 pediatricians , 1 / 4 surgeons , and the rest are gp doctors . if 1 / 4 of the surgeons are heart surgeons , and the hospital doubles the number of gp doctors , what proportion of the hospital are now heart surgeons ? The options: A ) 2 / 5 , B ) 1 / 4 , C ) 1 / 2 , D ) 1 / 24 , E ) 1 / 25", "input": "", "output": "", "answer": "D" }, { "instruction": "45 pupil , out of them 12 in debate only and 22 in singing only . then how many in both ? The options: A ) 9 , B ) 10 , C ) 11 , D ) 12 , E ) 13", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 75 cars on a car lot , 45 have air - conditioning , 35 have power steering , and 12 have both air - conditioning and power steering . how many of the cars on the lot have neither air - conditioning nor power steering ? The options: A ) 7 , B ) 8 , C ) 10 , D ) 15 , E ) 18", "input": "", "output": "", "answer": "A" }, { "instruction": "a corporation 5 times its annual bonus to 10 of its employees . what percent of the employees \u2019 new bonus is the increase ? The options: A ) 12 % , B ) 18 % , C ) 80 % , D ) 20 % , E ) 15 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of ages of 5 children born at the intervals of 3 years each is 50 years . what is the age of the youngest child ? The options: A ) 4 yEArs , B ) 8 yEArs , C ) 10 yEArs , D ) nonE oF thEsE , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "A" }, { "instruction": "yearly subscription to professional magazines cost a company $ 940.00 . to make a 25 % cut in the magazine budget , how much less must be spent ? The options: A ) 705 , B ) 655 , C ) 656 , D ) 657 , E ) 658", "input": "", "output": "", "answer": "A" }, { "instruction": "mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 4 children and 5 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? The options: A ) 20 % , B ) 17 % , C ) 4.0 % , D ) 3.3 % , E ) 2.8 %", "input": "", "output": "", "answer": "C" }, { "instruction": "if the selling price of 50 articles is equal to the cost price of 20 articles , then the loss or gain percent is : The options: A ) 45 % , B ) 23 % , C ) 20 % , D ) 60 % , E ) 56 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the mean of 50 observations was 40 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is The options: A ) 40.46 , B ) 36.1 , C ) 36.5 , D ) 39.1 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain tests consists 8 sections with 25 questions , numbered from 1 to 25 , in each section . if a student answered all of the even - numbered questions correctly and 3 / 4 of the odd - numbered questions correctly , what was the total number of questions he answered correctly ? a . 150 b . 172 c . 174 d . 175 e . 176 The options: A ) 174 , B ) 150 , C ) 180 , D ) 175 , E ) 190", "input": "", "output": "", "answer": "A" }, { "instruction": "a train running at the speed of 60 km / hr crosses a pole in 30 seconds . what is the length of the train ? The options: A ) 500 m , B ) 620 m , C ) 872 m , D ) 150 m , E ) 765 m", "input": "", "output": "", "answer": "A" }, { "instruction": "when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 0.60 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? The options: A ) $ 306 , B ) $ 275 , C ) $ 510 , D ) $ 1,250 , E ) $ 2,550", "input": "", "output": "", "answer": "A" }, { "instruction": "if 2 x + y = 7 and x + 2 y = 5 , then 10 xy / 3 = ? The options: A ) A ) 10 , B ) B ) 2 , C ) C ) 17 / 5 , D ) D ) 18 / 5 , E ) E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of ages of 5 children born at the intervals of 3 years each is 80 years . what is the age of the youngest child ? The options: A ) 3 yEArs , B ) 4 yEArs , C ) 6 yEArs , D ) 7 yEArs , E ) 10 yEArs", "input": "", "output": "", "answer": "E" }, { "instruction": "2 is what percent of 40 ? The options: A ) 0.2 % , B ) 2 % , C ) 5 % , D ) 20 % , E ) 500 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a no . when divided by 221 gives a remainder 43 , what remainder will beobtained by dividing the same number 19 ? The options: A ) 3 , B ) 6 , C ) 9 , D ) 11 , E ) 15", "input": "", "output": "", "answer": "C" }, { "instruction": "tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg The options: A ) 175.59 , B ) 175.5 , C ) 175.57 , D ) 175.52 , E ) 175.11", "input": "", "output": "", "answer": "C" }, { "instruction": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 80 questions and secures 120 marks , the number of questions he attempts correctly , is : The options: A ) 35 , B ) 46 , C ) 42 , D ) 30 , E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 4 ) is The options: A ) 3 : 2 , B ) 2 : 1 , C ) 1 : 1 , D ) 4 : 5 , E ) 2 : 3", "input": "", "output": "", "answer": "C" }, { "instruction": "a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 10 as remainder . find the no . is ? The options: A ) 220010 , B ) 145778 , C ) 220110 , D ) 235467 , E ) 220001", "input": "", "output": "", "answer": "A" }, { "instruction": "in a sports club with 55 members , 23 play badminton and 29 play tennis and 7 do not play either . how many members play both badminton and tennis ? The options: A ) 3 , B ) 5 , C ) 4 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "a garrison of 500 men has provisions for 20 days . at the end of 14 days , a reinforcement arrives , and it is now found that the provisions will last only for 3 days more . what is the reinforcement ? The options: A ) 500 , B ) 1000 , C ) 1500 , D ) 3000 , E ) 2000", "input": "", "output": "", "answer": "A" }, { "instruction": "how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ? The options: A ) 55 sEC , B ) 40 sEC , C ) 45 sEC , D ) 30 sEC , E ) 35 sEC", "input": "", "output": "", "answer": "A" }, { "instruction": "in covering a distance of 54 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is : The options: A ) 5 kmph , B ) 6 kmph , C ) 6.25 kmph , D ) 7.5 kmph , E ) 9 kmph", "input": "", "output": "", "answer": "E" }, { "instruction": "the length of minute hand of a clock is 5.6 cm . what is the area covered by this in 10 minutes The options: A ) 15.27 , B ) 16.27 , C ) 17.27 , D ) 16.41 , E ) 19.27", "input": "", "output": "", "answer": "D" }, { "instruction": "john has $ 1600 at the beginning of his trip , after spending money , he still has exactly $ 600 less than he spent on the trip . how much money does john still have ? The options: A ) $ 200 , B ) $ 400 , C ) $ 600 , D ) $ 800 , E ) $ 500", "input": "", "output": "", "answer": "E" }, { "instruction": "a train 1000 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? The options: A ) 288 m , B ) 256 m , C ) 1000 m , D ) 278 m , E ) 287 m", "input": "", "output": "", "answer": "C" }, { "instruction": "students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 181 cms . what was the ratio of men to women ? The options: A ) 5 : 2 , B ) 5 : 1 , C ) 4 : 3 , D ) 4 : 1 , E ) 10 : 1", "input": "", "output": "", "answer": "E" }, { "instruction": "if the length of the longest chord of a certain circle is 18 , what is the radius of that certain circle ? The options: A ) 2.5 , B ) 9 , C ) 10 , D ) 15 , E ) 20", "input": "", "output": "", "answer": "B" }, { "instruction": "a cistern 10 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm . what is the total area of the wet surface ? The options: A ) 45 , B ) 55 , C ) 65 , D ) 75 , E ) 85", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain junior class has 1,000 students and a certain senior class has 800 students . among these students , there are 20 siblings pairs , each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected at will be a sibling pair ? The options: A ) 3 / 40,000 , B ) 1 / 3,600 , C ) 9 / 2,000 , D ) 1 / 40,000 , E ) 1 / 15", "input": "", "output": "", "answer": "D" }, { "instruction": "if 50 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ? The options: A ) 2.5 % , B ) 10 % , C ) 5 % , D ) 15 % , E ) 25 %", "input": "", "output": "", "answer": "E" }, { "instruction": "how many seconds does sandy take to cover a distance of 600 meters , if sandy runs at a speed of 18 km / hr ? The options: A ) 100 , B ) 120 , C ) 140 , D ) 160 , E ) 180", "input": "", "output": "", "answer": "B" }, { "instruction": "calculate how many days it will take for 10 boys to paint a 80 m long wall if 6 boys can paint a 70 m long wall in 8 days , The options: A ) 9.48 DAys , B ) 3.48 DAys , C ) 7.48 DAys , D ) 5.48 DAys , E ) 6.48 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 60 as remainder . find the no . is ? The options: A ) 145646 , B ) 236578 , C ) 645353 , D ) 456546 , E ) 220060", "input": "", "output": "", "answer": "E" }, { "instruction": "a monkey start climbing up a tree 18 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top . The options: A ) 15 hrs , B ) 18 hrs , C ) 19 hrs , D ) 17 hrs , E ) 16 hrs", "input": "", "output": "", "answer": "E" }, { "instruction": "jane and ashley take 8 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ? The options: A ) 14 DAys , B ) 15 DAys , C ) 16 DAys , D ) 18 DAys , E ) 20 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 32 ? The options: A ) 2 / 7 , B ) 3 / 7 , C ) 1 / 16 , D ) 1 / 14 , E ) 1 / 12", "input": "", "output": "", "answer": "C" }, { "instruction": "today jim is twice as old as fred , and sam is 4 years younger than fred . 4 years ago jim was 8 times as old as sam . how old is jim now ? The options: A ) 8 , B ) 12 , C ) 16 , D ) 20 , E ) 24", "input": "", "output": "", "answer": "D" }, { "instruction": "a bullet train 150 m long is running with a speed of 30 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the bullet train is going ? The options: A ) 23 sEC , B ) 15 sEC , C ) 12 sEC , D ) 11 sEC , E ) 15 sEC", "input": "", "output": "", "answer": "E" }, { "instruction": "the sum of all the integers k such that \u2013 21 < k < 24 is The options: A ) 0 , B ) - 2 , C ) - 25 , D ) - 39 , E ) - 51", "input": "", "output": "", "answer": "D" }, { "instruction": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 30 . find the profit percentage ? The options: A ) 25 % , B ) 50 % , C ) 20 % , D ) 5 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 130 inclusive is the digital sum a multiple of 7 ? The options: A ) 7 , B ) 8 , C ) 14 , D ) 16 , E ) 20", "input": "", "output": "", "answer": "C" }, { "instruction": "a worker ' s daily wage is increased by 50 % and the new wage is $ 30 per day . what was the worker ' s daily wage before the increase ? The options: A ) $ 15 , B ) $ 18 , C ) $ 20 , D ) $ 22 , E ) $ 25", "input": "", "output": "", "answer": "C" }, { "instruction": "what is 120 % of 13 / 24 of 600 ? The options: A ) 320 , B ) 390 , C ) 440 , D ) 480 , E ) 510", "input": "", "output": "", "answer": "B" }, { "instruction": "if the weight of 12 meters long rod is 13.4 kg . what is the weight of 6 meters long rod ? The options: A ) 6.7 kg . , B ) 10.8 kg . , C ) 12.4 kg . , D ) 18.0 kg , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "evaluate : 60 - 12 * 3 * 2 = ? The options: A ) 42 , B ) 52 , C ) 62 , D ) 72 , E ) 82", "input": "", "output": "", "answer": "B" }, { "instruction": "a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 108 ) square inches . what is the perimeter of the photograph , in inches ? The options: A ) 34 , B ) 36 , C ) 16 , D ) 40 , E ) 42", "input": "", "output": "", "answer": "C" }, { "instruction": "a store sells 2 kinds of jelly beans mixes ( a and b ) both made up of red and yellow beans . if b contains 20 % more red beans than a but 10 % fewer yellow beans . and jar a contains twice as many red beans as yellow by what percent is the number of beans in jar b larger than the number in jar a The options: A ) 5 , B ) 6 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "E" }, { "instruction": "find the greatest common factor ( gfc ) of 24 , 40 and 60 . The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "when 242 is divided by a certain divisor the remainder obtained is 12 . when 698 is divided by the same divisor the remainder obtained is 16 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 10 . what is the value of the divisor ? The options: A ) 11 , B ) 18 , C ) 13 , D ) 23 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 20 % ? The options: A ) 37.5 % , B ) 48 % , C ) 50.5 % , D ) 52 % , E ) 25 %", "input": "", "output": "", "answer": "E" }, { "instruction": "by selling 22 pens for a rupee a woman loses 10 % . how many for a rupee should he sell in order to gain 50 % ? The options: A ) 12 , B ) 14 , C ) 45 , D ) 13 , E ) 65", "input": "", "output": "", "answer": "D" }, { "instruction": "1394 x 1394 The options: A ) 1943236 , B ) 1981709 , C ) 18362619 , D ) 2031719 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a and b start a business jointly . a invests rs 16000 for 8 month and b remains in the business for 4 months . out of total profit , b claims 2 / 7 of the profit . how much money was contributed by b ? The options: A ) 12800 , B ) 13000 , C ) 11500 , D ) 12500 , E ) 12000", "input": "", "output": "", "answer": "A" }, { "instruction": "the second of two numbers is two less than 3 times the first . find the numbers if there sum is 82 . The options: A ) 7 - 19 , B ) 8 - 20 , C ) 10 - 16 , D ) 15 - 9 , E ) 21 - 61", "input": "", "output": "", "answer": "E" }, { "instruction": "john and steve are speed walkers in a race . john is 10 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ? The options: A ) 13 sEConDs , B ) 17 sEConDs , C ) 24 sEConDs , D ) 34 sEConDs , E ) 51 sEConDs", "input": "", "output": "", "answer": "C" }, { "instruction": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 171 . the amount of the bill is The options: A ) rs . 1386 , B ) rs . 1764 , C ) rs . 1425 , D ) rs . 2268 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "suzie \u2019 s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie \u2019 s discount footwear ? The options: A ) 12 , B ) 11 , C ) 10 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "C" }, { "instruction": "in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ? The options: ['A ) 45', 'B ) 50', 'C ) 55', 'D ) 60', 'E ) 63']", "input": "", "output": "", "answer": "A" }, { "instruction": "sum of two numbers prime to each other is 12 and their l . c . m . is 35 . what are the numbers ? The options: A ) 8 AnD 4 , B ) 7 AnD 5 , C ) 6 AnD 5 , D ) 8 AnD 5 , E ) 6 AnD 5", "input": "", "output": "", "answer": "B" }, { "instruction": "two employees x and y are paid a total of rs . 440 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? The options: A ) s . 150 , B ) s . 200 , C ) s . 250 , D ) s . 350 , E ) s . 400", "input": "", "output": "", "answer": "B" }, { "instruction": "how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat ? The options: A ) 4 , B ) 12 , C ) 14 , D ) 16 , E ) 28", "input": "", "output": "", "answer": "A" }, { "instruction": "a envelop weight 8.5 gm , if 820 of these envelop are sent with an advertisement mail . how much wieght ? The options: A ) 6.6 kg , B ) 6.8 kg , C ) 6.7 kg , D ) 6.97 kg , E ) 7.8 kg", "input": "", "output": "", "answer": "D" }, { "instruction": "the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle . The options: A ) 5 , B ) 10 , C ) 15 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "D" }, { "instruction": "the angle between the minute hand and the hour hand of a clock when the time is 11.30 , is The options: A ) 35 \u00b0 , B ) 65 \u00b0 , C ) 45 \u00b0 , D ) 165 \u00b0 , E ) 95 \u00b0", "input": "", "output": "", "answer": "D" }, { "instruction": "there are 16 bees in the hive , then 6 more fly . how many bees are there in all ? The options: A ) 7 , B ) 33 , C ) 22 , D ) 17 , E ) 25", "input": "", "output": "", "answer": "C" }, { "instruction": "a train moves with a speed of 108 kmph . its speed in metres per second is : The options: A ) 10.8 , B ) 18 , C ) 30 , D ) 38.8 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "20 is subtracted from 60 % of a number , the result is 88 . find the number ? The options: A ) 120 , B ) 300 , C ) 180 , D ) 170 , E ) 148", "input": "", "output": "", "answer": "C" }, { "instruction": "by how much is 50 % of 250 greater than 25 % of 400 . The options: A ) 25 , B ) 26 , C ) 29 , D ) 39 , E ) 26", "input": "", "output": "", "answer": "B" }, { "instruction": "find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? The options: A ) 1 : 3 , B ) 2 : 3 , C ) 3 : 4 , D ) 4 : 5 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "in a rectangular coordinate system , if a line passes through the points ( - 15 , - 18 ) , ( 1522 ) and ( x , 2 ) then what is the value of x ? The options: A ) - 2 , B ) - 1 , C ) 0 , D ) 1 , E ) 2", "input": "", "output": "", "answer": "C" }, { "instruction": "the sector of a circle has radius of 21 cm and central angle 108 o . find its perimeter ? The options: A ) 81.6 Cm , B ) 85.9 Cm , C ) 90 Cm , D ) 92 Cm , E ) 95 Cm", "input": "", "output": "", "answer": "A" }, { "instruction": "a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 35 % lemonade syrup ? The options: A ) 1.5 , B ) 1.75 , C ) 2.14 , D ) 2.34 , E ) 2.64", "input": "", "output": "", "answer": "C" }, { "instruction": "running at the same constant rate , 100 identical machines can produce a total of 500 coffee bar per minute . at this rate , how many bottles could 20 such machines produce in 2 minutes ? The options: A ) 110 , B ) 220 , C ) 330 , D ) 200 , E ) 789", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain fraction has the same ratio to 1 / 36 , as 4 / 5 does to 2 / 9 . what is this certain fraction ? The options: A ) 1 / 5 , B ) 1 / 10 , C ) 1 / 15 , D ) 1 / 20 , E ) 1 / 25", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the units digit of ( 5 ! * 5 ! + 6 ! * 5 ! ) / 3 ? The options: A ) 4 , B ) 3 , C ) 2 , D ) 1 , E ) 0", "input": "", "output": "", "answer": "E" }, { "instruction": "find the constant k so that : - x 2 - ( k + 8 ) x - 8 = - ( x - 2 ) ( x - 4 ) The options: A ) 11 , B ) 12 , C ) 14 , D ) 19 , E ) 15", "input": "", "output": "", "answer": "C" }, { "instruction": "a , b and c invested rs . 6000 , rs . 4000 and rs . 10000 respectively , in a partnership business . find the share of a in profit of rs . 11000 after a year ? The options: A ) 3300 , B ) 1100 , C ) 2667 , D ) 600 , E ) 4000", "input": "", "output": "", "answer": "A" }, { "instruction": "a group of people participate in some curriculum , 30 of them practice yoga , 20 study cooking , 15 study weaving , 5 of them study cooking only , 8 of them study both the cooking and yoga , 5 of them participate all curriculums . how many people study both cooking and weaving ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "at what rate percent on simple interest will rs . 750 amount to rs . 825 in 5 years ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "A" }, { "instruction": "if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ? The options: A ) 10 , B ) 11 , C ) 12 , D ) 13 , E ) 23", "input": "", "output": "", "answer": "E" }, { "instruction": "two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ? The options: A ) B / 2 , B ) B , C ) 3 B / 2 , D ) 2 B , E ) 3 B", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain number of badges were distributed among a class of students . the student who got 1 / 6 th of the total number of badges actually got 5 times the average number of badges the others got ! how many students were there in the class ? The options: A ) 30 , B ) 26 , C ) 11 , D ) 31 , E ) 32", "input": "", "output": "", "answer": "B" }, { "instruction": "23 , 27 , 36 , 52 , . . . The options: A ) 40 , B ) 24 , C ) 77 , D ) 36 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "tough and tricky questions : work / rate problems . a group of 4 junior lawyers require 7 hours to complete a legal research assignment . how many hours would it take a group of 3 legal assistants to complete the same research assignment assuming that a legal assistant works at two - thirds the rate of a junior lawyer ? source : chili hot gmat The options: A ) 14 , B ) 10 , C ) 9 , D ) 6 , E ) 5", "input": "", "output": "", "answer": "A" }, { "instruction": "mahesh can do a piece of work in 30 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ? The options: A ) 90 , B ) 25 , C ) 37 , D ) 41 , E ) 30", "input": "", "output": "", "answer": "A" }, { "instruction": "if x and y are numbers such that ( x + 6 ) ( y - 6 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 The options: A ) 0 , B ) 16 , C ) 25 , D ) 36 , E ) 49", "input": "", "output": "", "answer": "D" }, { "instruction": "the difference of a larger number and a smaller number is 6 . the sum of the larger number and twice the smaller is 15 . what is the larger number ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ? The options: A ) 240 mEtErs , B ) 360 mEtErs , C ) 420 mEtErs , D ) 600 mEtErs , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "A" }, { "instruction": "a vessel of capacity 2 litre has 16 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? The options: A ) 31 % . , B ) 71 % . , C ) 49 % . , D ) 27.2 % . , E ) 51 % .", "input": "", "output": "", "answer": "D" }, { "instruction": "the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their surface area ? The options: ['A ) 1 : 0', 'B ) 1 : 4', 'C ) 1 : 6', 'D ) 1 : 2', 'E ) 1 : 1']", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 3 prizes to be distributed among 10 students . if no students gets more than one prize , then this can be done in ? The options: A ) 10 , B ) 45 , C ) 95 , D ) 120 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a student got 72 % in math and 82 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? The options: A ) 69 % , B ) 71 % , C ) 73 % , D ) 75 % , E ) 77 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital ? The options: A ) rs . 9228 , B ) rs . 9129 , C ) rs . 9120 , D ) rs . 9000 , E ) rs . 1922", "input": "", "output": "", "answer": "D" }, { "instruction": "how much water must be added to 60 litres of milk at 1 1 \u2044 2 litres for 20 so as to have a mixture worth 10 2 \u2044 3 a litre ? The options: A ) 10 litrEs , B ) 12 litrEs , C ) 15 litrEs , D ) 18 litrEs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a car dealership has 40 cars on the lot , 15 % of which are silver . if the dealership receives a new shipment of 80 cars , 45 % of which are not silver , what percentage of total number of cars are silver ? The options: A ) 30 % , B ) 35 % , C ) 40 % , D ) 45 % , E ) 50 %", "input": "", "output": "", "answer": "B" }, { "instruction": "how many of the positive factors of 24 are not factors of 27 The options: A ) 2 , B ) 6 , C ) 4 , D ) 1 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 20 % . what is his average speed for both the trips ? The options: A ) 33 , B ) 77 , C ) 48 , D ) 66 , E ) 21", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b can together finish a work in 10 days . they worked together for 5 days and then b left . after another 5 days , a finished the remaining work . in how many days a alone can finish the job ? The options: A ) 10 , B ) 15 , C ) 20 , D ) 5 , E ) 30", "input": "", "output": "", "answer": "A" }, { "instruction": "a rectangular field has a length 10 meters more than it is width . if the area of the field is 200 , what is the length ( in meters ) of the rectangular field ? The options: A ) 20 , B ) 22 , C ) 24 , D ) 26 , E ) 28", "input": "", "output": "", "answer": "A" }, { "instruction": "a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . The options: A ) 7 / 18 , B ) 7 / 19 , C ) 7 / 11 , D ) 7 / 12 , E ) 7 / 15", "input": "", "output": "", "answer": "E" }, { "instruction": "if 4 men working 10 hours a day earn rs . 1600 per week , then 9 men working 6 hours a day will earn how much per week ? The options: A ) rs 840 , B ) rs 1320 , C ) rs 1620 , D ) rs 2160 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 9 more than the correct answer . find the number . The options: A ) 16 , B ) 18 , C ) 20 , D ) 22 , E ) 24", "input": "", "output": "", "answer": "C" }, { "instruction": "raman mixed 24 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ? The options: A ) rs . 135 , B ) rs . 162 , C ) rs . 189 , D ) rs . 198 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 284 pounds . what is jake \u2019 s present weight , in pounds ? The options: A ) 176 , B ) 180 , C ) 184 , D ) 188 , E ) 192", "input": "", "output": "", "answer": "E" }, { "instruction": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 40 days . The options: A ) 16 DAys . , B ) 17 DAys . , C ) 18 DAys . , D ) 19 DAys . , E ) 24 DAys .", "input": "", "output": "", "answer": "E" }, { "instruction": "what least number must be added to 1145 , so that the sum is completely divisible by 23 ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "a towel , when bleached , lost 30 % of its length and 20 % of its breadth . what is the percentage decrease in area ? The options: A ) 24 % , B ) 30 % , C ) 44 % , D ) 54 % , E ) 64 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is The options: A ) 14 yEArs , B ) 28 yEArs , C ) 20 yEArs , D ) 22 yEArs , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.73 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ? The options: A ) 9 % , B ) 10 % , C ) 11 % , D ) 12 % , E ) 13 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a trader bought a car at 20 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ? The options: A ) 18 % , B ) 13 % , C ) 12 % , D ) 32 % , E ) 44 %", "input": "", "output": "", "answer": "E" }, { "instruction": "800 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ? The options: A ) 11.5 , B ) 12.5 , C ) 10.5 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "E" }, { "instruction": "n = 1 ! + 2 ! + 3 ! . . . . . + 10 ! . what is the last digit of n ^ n ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "E" }, { "instruction": "by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 250 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ? The options: A ) 1.46 % , B ) 1.93 % , C ) 10 % , D ) 15 % , E ) 19 %", "input": "", "output": "", "answer": "A" }, { "instruction": "set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 3 , while all other numbers remain the same , what is the new average of set s ? The options: A ) 6.5 , B ) 6.7 , C ) 6.8 , D ) 6.85 , E ) 6.9", "input": "", "output": "", "answer": "A" }, { "instruction": "a is a working partner and b is a sleeping partner in a business . a puts in 20,000 and b 90,000 . a gets 20 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of b in profit of 11000 . The options: A ) 3500 , B ) 7200 , C ) 6800 , D ) 4800 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ? The options: A ) 20 , B ) 40 , C ) 60 , D ) 80 , E ) 100", "input": "", "output": "", "answer": "D" }, { "instruction": "two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ? The options: A ) 457 km , B ) 444 km , C ) 552 km , D ) 645 km , E ) 453 km", "input": "", "output": "", "answer": "C" }, { "instruction": "8 , 12 , 18 , 27 , 40.5 , ( . . . ) The options: A ) 62 , B ) 60.75 , C ) 60.5 , D ) 60.25 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? The options: A ) 75 , B ) 70 , C ) 65 , D ) 85 , E ) 90", "input": "", "output": "", "answer": "B" }, { "instruction": "in business , a and c invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by a and b was 2 : 5 , if rs 15,000 was their profit , how much amount did b receive . The options: A ) 1950 , B ) 6895 , C ) 4879 , D ) 8126 , E ) 6250", "input": "", "output": "", "answer": "E" }, { "instruction": "10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 8 women and 12 children take to complete the work ? The options: A ) 4 , B ) 5 , C ) 7 , D ) 8 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "find the remainder of the division ( 3 ^ 50 ) / 7 . The options: A ) 5 , B ) 3 , C ) 2 , D ) 1 , E ) 7", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the area inscribed by the lines y = 2 , x = 2 , y = 10 - x on an xy - coordinate plane ? The options: A ) A ) 8 , B ) B ) 10 , C ) C ) 12 , D ) D ) 14 , E ) E ) 18", "input": "", "output": "", "answer": "E" }, { "instruction": "alex takes a loan of $ 8,000 to buy a used truck at the rate of 9 % simple interest . calculate the annual interest to be paid for the loan amount . The options: A ) 680 , B ) 700 , C ) 720 , D ) 730 , E ) 750", "input": "", "output": "", "answer": "C" }, { "instruction": "if n is a positive integer , what is the remainder when ( 4 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ? The options: A ) 1 , B ) 2 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 20 percent , and on day 3 , it is discounted an additional 40 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ? The options: A ) 28 % , B ) 48 % , C ) 64.8 % , D ) 70 % , E ) 72 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the probability that a man will be alive for 10 more yrs is 1 / 3 & the probability that his wife will alive for 10 more yrs is 2 / 5 . the probability that none of them will be alive for 10 more yrs , is The options: A ) 1 / 2 , B ) 1 , C ) 2 / 3 , D ) 3 / 4 , E ) 2 / 5", "input": "", "output": "", "answer": "E" }, { "instruction": "a 9 by 12 rectangle is inscribed in circle . what is the circumference of the circle ? The options: A ) 2.5 \u03c0 , B ) 5 \u03c0 , C ) 10 \u03c0 , D ) 12.5 \u03c0 , E ) 15 \u03c0", "input": "", "output": "", "answer": "E" }, { "instruction": "each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 28 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? The options: A ) 26 , B ) 19 , C ) 11 , D ) 8 , E ) 6", "input": "", "output": "", "answer": "D" }, { "instruction": "when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land twice on heads and twice tails ? The options: A ) 1 / 8 , B ) 1 / 4 , C ) 1 / 16 , D ) 1 / 32 , E ) 1 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "the effective annual rate of interest corresponding to a nominal rate of 14 % per annum payable half - yearly is ? The options: A ) 16.06 % , B ) 16.07 % , C ) 16.08 % , D ) 14.49 % , E ) 16.19 %", "input": "", "output": "", "answer": "D" }, { "instruction": "mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 50 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ? The options: A ) 124 % , B ) 120 % , C ) 96 % , D ) 80 % , E ) 64 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the circumferences of the fore and hind - wheels of a carriage are 2 2 / 5 and 3 3 / 7 meters respectively . a chalk mark is put on the point of contact of each wheel with the ground at any given moment . how far will the carriage have travelled so that their chalk marks may be again on the ground at the same time ? The options: A ) 18 mEtrEs , B ) 16 mEtrEs , C ) 38 mEtrEs , D ) 42 mEtrEs , E ) 24 mEtrEs", "input": "", "output": "", "answer": "E" }, { "instruction": "a can do a piece of work in 5 days and b can do it in 4 days how long will they both work together to complete the work ? The options: A ) 6 / 11 , B ) 8 / 11 , C ) 7 / 9 , D ) 2 / 9 , E ) 10 / 11", "input": "", "output": "", "answer": "D" }, { "instruction": "if 5 ^ 5 \u00d7 5 ^ x = ( 125 ) ^ 4 , then what is the value of x ? The options: A ) 2 , B ) 3 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "E" }, { "instruction": "a 100 - litre mixture of milk and water contains 30.25 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ? The options: A ) 9.1 litrEs , B ) 10 litrEs , C ) 8 litrEs , D ) 12 litrEs , E ) 6 litrEs", "input": "", "output": "", "answer": "A" }, { "instruction": "m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 12 ) both lie on the line defined by the equation x = ( y / 4 ) - ( 2 / 5 ) , what is the value of p ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "1000 men have provisions for 15 days . if 300 more men join them , for how many days will the provisions last now ? The options: A ) 11.5 , B ) 12.5 , C ) 12.6 , D ) 12.2 , E ) 12.1", "input": "", "output": "", "answer": "A" }, { "instruction": "the equation of line a is y = 4 / 3 * x - 100 . what is the smallest possible distance in the xy - plane from the point with coordinates ( 0 , 0 ) to any point on line a ? The options: A ) 48 , B ) 50 , C ) 60 , D ) 75 , E ) 100", "input": "", "output": "", "answer": "C" }, { "instruction": "the average age of applicants for a new job is 31 , with a standard deviation of 6 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? The options: A ) 8 , B ) 13 , C ) 15 , D ) 18 , E ) 30", "input": "", "output": "", "answer": "B" }, { "instruction": "20 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ? The options: A ) 32 , B ) 87 , C ) 40 , D ) 99 , E ) 77", "input": "", "output": "", "answer": "C" }, { "instruction": "the class mean score on a test was 40 , and the standard deviation was 15 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ? The options: A ) 20 , B ) 31 , C ) 45 , D ) 90 , E ) 89", "input": "", "output": "", "answer": "A" }, { "instruction": "machine a produces 100 parts thrice as fast as machine b does . machine b produces 100 parts in 30 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ? The options: A ) 20 , B ) 80 , C ) 40 , D ) 60 , E ) 50", "input": "", "output": "", "answer": "D" }, { "instruction": "machine x takes 80 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce The options: A ) 100 , B ) 65 , C ) 25 , D ) 11 , E ) 2.25", "input": "", "output": "", "answer": "E" }, { "instruction": "in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ? The options: A ) 515 , B ) 545 , C ) 618 . , D ) 644 . , E ) 666", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of 5 quantities is 9 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? The options: A ) 16.5 , B ) 10 , C ) 8 , D ) 9.5 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 60 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? The options: A ) 12 sEC , B ) 24 sEC , C ) 40 sEC , D ) 60 sEC , E ) 62 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "the average height of 30 students in a class was calculated as 177 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 106 cm . what was the actual average height of the students in the class ? The options: A ) 176.5 Cm , B ) 175.5 Cm , C ) 174.5 Cm , D ) 173.5 Cm , E ) 172.5 Cm", "input": "", "output": "", "answer": "B" }, { "instruction": "a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 6 minutes . how much time will be take to cover a distance of 6 kilometres ? The options: A ) 48 min . , B ) 50 min . , C ) 66 min . , D ) 55 min . , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds . the speed of the second train is The options: A ) 60 kmph , B ) 66 kmph , C ) 72 kmph , D ) 99 kmph , E ) 89 kmph", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ? The options: A ) 200 , B ) 350 , C ) 100 , D ) 150 , E ) 120", "input": "", "output": "", "answer": "D" }, { "instruction": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 288 . find the principal ? The options: A ) 2277 , B ) 2667 , C ) 3600 , D ) 7200 , E ) 1811", "input": "", "output": "", "answer": "D" }, { "instruction": "63.2 is what percent of 867 ? The options: A ) 6.9 , B ) 8.99 , C ) 7.29 , D ) 7.98 , E ) 9.21", "input": "", "output": "", "answer": "C" }, { "instruction": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 15 days to complete the same work . then q alone can do it in The options: A ) 20 , B ) 22 , C ) 25 , D ) 27 , E ) 60", "input": "", "output": "", "answer": "E" }, { "instruction": "local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ? The options: A ) 50 , B ) 48 , C ) 52 , D ) 54 , E ) 56", "input": "", "output": "", "answer": "B" }, { "instruction": "a and b complete a work in 80 days . a alone can do it in 40 days . if both together can do the work in how many days ? The options: A ) 1.0875 DAys , B ) 0.1875 DAys , C ) 0.0675 DAys , D ) 0.0375 DAys , E ) 0.0775 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a customer purchased a package of ground beef at a cost of $ 1.80 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 20 percent less than the package of ground beef . what was the cost per pound of the steak ? The options: A ) $ 2.05 , B ) $ 2.15 , C ) $ 2.25 , D ) $ 2.35 , E ) $ 2.45", "input": "", "output": "", "answer": "C" }, { "instruction": "if two dice are thrown together , the probability of getting prime number on both dice is The options: A ) 5 / 9 , B ) 1 / 9 , C ) 2 / 9 , D ) 4 / 9 , E ) 7 / 9", "input": "", "output": "", "answer": "C" }, { "instruction": "at a wedding reception , 125 guests ate chicken and 75 guests ate beef . if exactly 100 guests ate only one of the two types of meat , how many guests ate both types of meat ? The options: A ) 5 , B ) 100 , C ) 7 , D ) 4 , E ) 50", "input": "", "output": "", "answer": "E" }, { "instruction": "the average temperature for monday , tuesday and wednsday is 36.3 degrees c . the average temperature for tuesday , wednesday and thursday is 36.7 degrees c . if monday \u2019 s temperature recorded as 39 degrees c , find the thursday \u2019 s temperature ? The options: A ) 60.2 DEgrEEs C , B ) 50.2 DEgrEEs C , C ) 40.2 DEgrEEs C , D ) 70.2 DEgrEEs C , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 4 : 2 : 3 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? The options: A ) 90 , B ) 150 , C ) 270 , D ) 300 , E ) 450", "input": "", "output": "", "answer": "D" }, { "instruction": "a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 6 - digit numbers are palindromes ? The options: A ) 400 , B ) 450 , C ) 500 , D ) 900 , E ) 2500", "input": "", "output": "", "answer": "C" }, { "instruction": "p , q and r have $ 6000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? The options: A ) 2400 , B ) 2403 , C ) 3998 , D ) 2539 , E ) 1930", "input": "", "output": "", "answer": "A" }, { "instruction": "light glows for every 15 seconds . how many max . times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am . The options: A ) 380 timEs , B ) 381 timEs , C ) 382 timEs , D ) 392 timEs , E ) 331 timEs", "input": "", "output": "", "answer": "E" }, { "instruction": "a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is : The options: A ) 4.5 km , B ) 5.5 km , C ) 6 km , D ) 7 km , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 120 passengers on flight 750 , 60 % are female . 10 % of the passengers sit in first class , and the rest of the passengers sit in coach class . if 1 / 3 of the passengers in first class are male , how many females are there in coach class ? The options: A ) 44 , B ) 48 , C ) 50 , D ) 64 , E ) 56", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of radius of a circle and the side of a square is 2 : 7 . find the ratio of their areas : The options: A ) 2 : 1 , B ) 4 : 7 , C ) 8 : 77 , D ) 4 : 49 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "how many kilograms of sugar costing rs . 9 per kg must be mixed with 27 kg of sugar costing rs . 7 per kg so that there may be a gain of 10 % by selling the mixture at rs . 9.24 per kg ? The options: A ) 33 , B ) 39 , C ) 38 , D ) 63 , E ) 01", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ? The options: A ) rs . 440 , B ) rs . 500 , C ) rs . 540 , D ) rs . 740 , E ) rs . 840", "input": "", "output": "", "answer": "D" }, { "instruction": "a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 60 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? The options: A ) 39.55 $ , B ) 40.63 $ , C ) 41.63 $ , D ) 42.15 $ , E ) 48.7 $", "input": "", "output": "", "answer": "E" }, { "instruction": "for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 21000 , my total savings for the two - year is The options: A ) rs . 8000 , B ) rs . 9000 , C ) rs . 9800 , D ) rs . 9900 , E ) rs . 10000", "input": "", "output": "", "answer": "E" }, { "instruction": "how many three - digit numbers are divisible by 6 in all ? The options: A ) 149 , B ) 150 , C ) 151 , D ) 166 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "a boat can travel with a speed of 12 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 68 km downstream . The options: A ) 4.25 hr , B ) 5.25 hr , C ) 8.25 hr , D ) 2.25 hr , E ) 2.50 hr", "input": "", "output": "", "answer": "A" }, { "instruction": "the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if saran and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ? The options: A ) $ 0.32 , B ) $ 0.40 , C ) $ 0.45 , D ) $ 0.48 , E ) $ 0.54", "input": "", "output": "", "answer": "B" }, { "instruction": "jane makes toy bears . when she works with an assistant , she makes 100 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent ? The options: A ) 20 % , B ) 80 % , C ) 100 % , D ) 180 % , E ) 200 %", "input": "", "output": "", "answer": "E" }, { "instruction": "p is able to do a piece of work in 10 days and q can do the same work in 12 days . if they can work together for 5 days , what is the fraction of work left ? The options: A ) 7 / 12 , B ) 5 / 12 , C ) 1 / 12 , D ) 3 / 12 , E ) 1 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes , then the area of the park ( in sq . m ) is : The options: A ) 153601 , B ) 153600 , C ) 86400 , D ) 153603 , E ) 153604", "input": "", "output": "", "answer": "C" }, { "instruction": "find the area of a parallelogram with base 24 cm and height 12 cm ? The options: A ) 297 Cm 2 , B ) 384 Cm 2 , C ) 672 Cm 2 , D ) 267 Cm 2 , E ) 288 Cm 2", "input": "", "output": "", "answer": "E" }, { "instruction": "for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 2 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ? The options: A ) 5 / 27 , B ) 2 / 9 , C ) 1 / 3 , D ) 4 / 9 , E ) 2 / 7", "input": "", "output": "", "answer": "E" }, { "instruction": "a glass was filled with 10 ounces of water , and 0.05 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ? The options: A ) 0.002 % , B ) 0.02 % , C ) 0.2 % , D ) 2 % , E ) 10 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital The options: A ) rs 9000 , B ) rs 7000 , C ) rs 5000 , D ) rs 4000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "what percent of 5.2 kg is 16 gms ? The options: A ) 30 , B ) 66 , C ) 58 , D ) 29 , E ) 17", "input": "", "output": "", "answer": "A" }, { "instruction": "the true discount on a bill due 9 months hence at 16 % per annum is rs . 162 . the amount of the bill is The options: A ) rs . 1386 , B ) rs . 1350 , C ) rs . 1575 , D ) rs . 2268 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ? The options: A ) 20 hr , B ) 10 hr , C ) 5 hr , D ) 4 hr , E ) 15 hr", "input": "", "output": "", "answer": "B" }, { "instruction": "the mall charges 50 cents for the first hour of parking and $ 3 for each additional hour until the customer reaches 4 hours , after that the parking fee is $ 1 per hour . if a certain customer parked his in the mall for 7 hours and 30 minutes , how much is he going to pay ? The options: A ) $ 11.5 . , B ) $ 12 . , C ) $ 13 . , D ) $ 14.5 , E ) $ 15 .", "input": "", "output": "", "answer": "C" }, { "instruction": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 40000 , the amount invested by y is The options: A ) 33488 , B ) 63809 , C ) 60000 , D ) 37887 , E ) 77824", "input": "", "output": "", "answer": "C" }, { "instruction": "a 12 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? The options: A ) 1 / 6 , B ) 2 / 3 , C ) 3 / 10 , D ) 1 / 3 , E ) 2 / 5", "input": "", "output": "", "answer": "B" }, { "instruction": "an article with cost price of 245 is sold at 34 % profit . what is the selling price ? The options: A ) 328 , B ) 320 , C ) 300 , D ) 207 , E ) 310", "input": "", "output": "", "answer": "A" }, { "instruction": "two stations p and q are 155 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ? The options: A ) 10 Am , B ) 12 Am , C ) 10.30 Am , D ) 12.30 Am , E ) 11 Am", "input": "", "output": "", "answer": "E" }, { "instruction": "the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? The options: A ) 23 yEArs , B ) 20 yEArs , C ) 25 yEArs , D ) 22 yEArs , E ) 28 yEArs", "input": "", "output": "", "answer": "A" }, { "instruction": "the number of students in each section of a school is 24 . after admitting new students , 3 new sections were started . now , the total number of sections is 16 and there are 21 students in each section . the number of new students admitted is : The options: A ) 12 , B ) 42 , C ) 24 , D ) 28 , E ) 26", "input": "", "output": "", "answer": "C" }, { "instruction": "simplify : 81 x 81 + 68 x 68 - 2 x 81 x 68 . The options: A ) 169 , B ) 159 , C ) 189 , D ) 179 , E ) 219", "input": "", "output": "", "answer": "A" }, { "instruction": "- 24 * 29 + 1240 = ? The options: A ) - 544 , B ) 584 , C ) 544 , D ) 345 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "4 liters of a 25 percent solution of alcohol in water are mixed with 3 liters of a 11 percent alcohol in water solution . what is the percentage of alcohol in the new solution ? The options: A ) 18.2 % , B ) 18.6 % , C ) 19.0 % , D ) 19.4 % , E ) 19.8 %", "input": "", "output": "", "answer": "C" }, { "instruction": "x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 13750 ? The options: A ) 3200 , B ) 4000 , C ) 3250 , D ) 3825 , E ) 3985", "input": "", "output": "", "answer": "B" }, { "instruction": "machine a and machine b are each used to manufacture 550 sprockets . it takes machine a 10 hours longer to produce 550 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ? The options: A ) 6 , B ) 5 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 120 m in length ? The options: A ) 15.8 sEC , B ) 13.2 sEC , C ) 12.4 sEC , D ) 16.8 sEC , E ) 11.8 sEC", "input": "", "output": "", "answer": "B" }, { "instruction": "a rainstorm increased the amount of water stored in state j reservoirs from 5 billion gallons to 7.5 billion gallons . if the storm increased the amount of water in the reservoirs to 55 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? The options: A ) 6.9 , B ) 1.4 , C ) 2.5 , D ) 3.0 , E ) 4.4", "input": "", "output": "", "answer": "A" }, { "instruction": "the total cost of 100 paper plates and 200 paper cups is $ 4.50 at the same rates what is the total cost of 20 of the plates and 40 of the cups ? The options: A ) $ . 90 , B ) $ 1.00 , C ) $ 1.20 , D ) $ 1.50 , E ) $ 1.60", "input": "", "output": "", "answer": "A" }, { "instruction": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 3 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ? The options: A ) 8 / 15 , B ) 4 / 3 , C ) 12 / 5 , D ) 9 / 4 , E ) 15 / 4", "input": "", "output": "", "answer": "C" }, { "instruction": "a can run 2.7 km distance in 1 min 20 seconds , while b can run this distance in 1 min 30 sec . by how much distance can a beat b ? The options: A ) 90 m , B ) 30 m , C ) 120 m , D ) 300 m , E ) 190 m", "input": "", "output": "", "answer": "D" }, { "instruction": "how many different positive integers are factors of 25 ? The options: A ) 1 , B ) 5 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "A" }, { "instruction": "a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ? The options: ['A ) 19', 'B ) 23', 'C ) 24', 'D ) 16', 'E ) 17']", "input": "", "output": "", "answer": "C" }, { "instruction": "how long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ? The options: A ) 16.5 , B ) 19.2 , C ) 16.4 , D ) 16.8 , E ) 16.1", "input": "", "output": "", "answer": "B" }, { "instruction": "if a randomly selected non - negative single digit integer is added to { 2 , 3 , 4 , 7 } . what is the probability that the median of the set will increase but the range still remains the same ? The options: A ) 0.2 , B ) 0.3 , C ) 0.4 , D ) 0.5 , E ) 0.6", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the remainder when the number w = 14 ^ 2 * 15 ^ 8 is divided by 5 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "A" }, { "instruction": "the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is : The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "a student chose a number , multiplied it by 6 , then subtracted 250 from the result and got 122 . what was the number he chose ? The options: A ) 59 , B ) 60 , C ) 61 , D ) 62 , E ) 63", "input": "", "output": "", "answer": "D" }, { "instruction": "find the average of all prime numbers between 30 and 50 The options: A ) 15 , B ) 42 , C ) 45 , D ) 34 , E ) 26", "input": "", "output": "", "answer": "B" }, { "instruction": "if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is The options: A ) 54.48 , B ) 53.31 , C ) 54.6 , D ) 54.58 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the sum of the integers from - 60 to 65 , inclusive ? The options: A ) 315 , B ) 215 , C ) 115 , D ) 165 , E ) 765", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the sum of natural numbers between 60 and 100 The options: A ) 4800 , B ) 4860 , C ) 5000 , D ) 5500 , E ) 3280", "input": "", "output": "", "answer": "E" }, { "instruction": "in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ? The options: A ) 240000 , B ) 300000 , C ) 168000 , D ) 36000 , E ) 24,000", "input": "", "output": "", "answer": "D" }, { "instruction": "in measuring the sides of a rectangle , one side is taken 4 % in excess , and the other 3 % in deficit . find the error percent in the area calculated from these measurements . The options: A ) 0.11 % , B ) 0.7 % , C ) 0.4 % , D ) 0.6 % , E ) 0.88 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many e ways can the test be completed if every question is unanswered ? The options: A ) 24 , B ) 120 , C ) 625 , D ) 720 , E ) 1024", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b undertake to do a piece of work for $ 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a ? The options: A ) $ 100 , B ) $ 150 , C ) $ 300 , D ) $ 250 , E ) $ 350", "input": "", "output": "", "answer": "C" }, { "instruction": "two employees x and y are paid a total of rs . 660 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? The options: A ) s . 150 , B ) s . 200 , C ) s . 250 , D ) s . 350 , E ) s . 300", "input": "", "output": "", "answer": "E" }, { "instruction": "54671 - 10456 - 33466 = ? The options: A ) 2449 , B ) 10449 , C ) 10749 , D ) 10449 , E ) 6468", "input": "", "output": "", "answer": "C" }, { "instruction": "a 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ? The options: A ) 230 m , B ) 240 m , C ) 250 m , D ) 260 m , E ) 270 m", "input": "", "output": "", "answer": "C" }, { "instruction": "the value of x + x ( xx ) when x = 7 The options: A ) A ) 350 , B ) B ) 346 , C ) C ) 358 , D ) D ) 336 , E ) E ) 364", "input": "", "output": "", "answer": "A" }, { "instruction": "in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 11 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "if ( t - 8 ) is a factor of t ^ 2 - kt - 45 , then k = The options: A ) 16 , B ) 12 , C ) 2 , D ) 6 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "set a contains all the even numbers between 12 and 50 inclusive . set b contains all the even numbers between 112 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? The options: A ) 2000 , B ) 2550 , C ) 5050 , D ) 6275 , E ) 11325", "input": "", "output": "", "answer": "A" }, { "instruction": "how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 15 inches than that of a rectangular sheet of paper measuring 7.5 inches by 11 inches ? The options: A ) 50 % , B ) 87 % , C ) 100 % , D ) 187 % , E ) 200 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the number 150 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? The options: A ) 17 , B ) 18 , C ) 15 , D ) 14 , E ) 13", "input": "", "output": "", "answer": "B" }, { "instruction": "find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm ? The options: A ) 320 Cm 2 , B ) 280 Cm 2 , C ) 384 Cm 2 , D ) 290 Cm 2 , E ) 350 Cm 2", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the least value of x . so that 22 x 57 is divisible by 3 . The options: A ) 2 , B ) 0 , C ) 1 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "in a forest 120 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? The options: A ) 1,200 , B ) 750 , C ) 1,250 , D ) 1,500 , E ) 2,500", "input": "", "output": "", "answer": "A" }, { "instruction": "if the selling price of 7 articles is same as the cost price of 10 articles . find the gain or loss percentage ? The options: A ) 93 % , B ) 23 % , C ) 33 % , D ) 43 % , E ) 53 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of number of boys and girls in a school is 2 : 7 . if there are 360 students in the school , find the number of girls in the school ? The options: A ) 150 , B ) 250 , C ) 300 , D ) 370 , E ) 280", "input": "", "output": "", "answer": "E" }, { "instruction": "a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ? The options: A ) 13 , B ) 30 , C ) 50 , D ) 51 , E ) 52", "input": "", "output": "", "answer": "B" }, { "instruction": "you need to print a document of the area 216 sq cm . condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides . what is the optimized size of your paper ? The options: ['A ) 60 sq . Cm', 'B ) 70 sq . Cm', 'C ) 95 sq . Cm', 'D ) 80 sq . Cm', 'E ) 90 sq . Cm']", "input": "", "output": "", "answer": "E" }, { "instruction": "find the average of all numbers between 1 and 13 which are divisible by 2 The options: A ) 15 , B ) 21 , C ) 25 , D ) 30 , E ) 35", "input": "", "output": "", "answer": "B" }, { "instruction": "if x / y = 5 / 3 , then ( x + y ) / ( x - y ) = ? The options: A ) 4 , B ) 1 / 5 , C ) - 1 / 6 , D ) - 1 / 5 , E ) - 5", "input": "", "output": "", "answer": "A" }, { "instruction": "a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ? The options: A ) 130 , B ) 155 , C ) 490 , D ) 140 , E ) 160", "input": "", "output": "", "answer": "D" }, { "instruction": "a broker invested her own money in the stock market . during the first year , she increased her stock market wealth by 40 percent . in the second year , largely as a result of a slump in the stock market , she suffered a 30 percent decrease in the value of her stock investments . what was the net increase or decrease on her overall stock investment wealth by the end of the second year ? The options: A ) \u2212 5 % , B ) \u2212 2 % , C ) 15 % , D ) 20 % , E ) 80 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a library has an average of 425 visitors on sundays and 325 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : The options: A ) 140 , B ) 240 , C ) 260 , D ) 280 , E ) 340", "input": "", "output": "", "answer": "E" }, { "instruction": "from a pack of 52 cards , two cards are drawn together at random . what is the probability that the one is heart and other two is diamond ? The options: A ) 238 / 5525 , B ) 176 / 5534 , C ) 253 / 5523 , D ) 234 / 5525 , E ) 1 / 5525", "input": "", "output": "", "answer": "D" }, { "instruction": "the sector of a circle has radius of 14 cm and its perimeter 50 cm . find its central angel ? The options: A ) 180 o , B ) 225 o , C ) 270 o , D ) 150 o , E ) 90 o", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction q of the sum of the 21 numbers in the list ? The options: A ) 1 / 20 , B ) 1 / 6 , C ) 1 / 5 , D ) 4 / 21 , E ) 5 / 21", "input": "", "output": "", "answer": "B" }, { "instruction": "if 12 men can reap 120 acres of land in 16 days , how many acres of land can 36 men reap in 32 days ? The options: A ) 269 , B ) 512 , C ) 369 , D ) 720 , E ) 450", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 4 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ? The options: A ) 200 , B ) 325 , C ) 565 , D ) 625 , E ) 700", "input": "", "output": "", "answer": "D" }, { "instruction": "a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ? The options: A ) 11 , B ) 18 , C ) 99 , D ) 77 , E ) 51", "input": "", "output": "", "answer": "B" }, { "instruction": "the hcf and lcm of two numbers m and n are respectively 8 and 200 . if m + n = 84 , then 1 / m + 1 / n is equal to The options: A ) 1 / 35 , B ) 3 / 50 , C ) 5 / 37 , D ) 2 / 35 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "an inspector rejects 0.04 % of the meters as defective . how many will he examine to reject 2 ? The options: A ) A ) 1500 , B ) B ) 2000 , C ) C ) 2500 , D ) D ) 5000 , E ) E ) 3100", "input": "", "output": "", "answer": "D" }, { "instruction": "john makes $ 50 a week from his job . he earns a raise andnow makes $ 90 a week . what is the % increase ? The options: A ) 15 % , B ) 16.66 % , C ) 17.8 % , D ) 80 % , E ) 21 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 48 now , the son age 5 years back was The options: A ) 14 , B ) 17 , C ) 11 , D ) 19 , E ) 99", "input": "", "output": "", "answer": "D" }, { "instruction": "a man can row upstream at 25 kmph and downstream at 43 kmph , and then find the speed of the man in still water ? The options: A ) 86 , B ) 34 , C ) 30 , D ) 15 , E ) 17", "input": "", "output": "", "answer": "B" }, { "instruction": "if | x - 20 | = 40 what is the sum of all the values of x . The options: A ) 0 , B ) 60 , C ) - 80 , D ) 40 , E ) 80", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 14 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? The options: A ) 13 , B ) 13.5 , C ) 14 , D ) 14.5 , E ) 15", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the units digit of 222 ^ ( 333 ) * 333 ^ ( 222 ) ? The options: A ) 0 , B ) 2 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "the length and breadth of a rectangular courtyard is 75 m and 32 m . find the cost of leveling it at the rate of $ 3 per m 2 . also , find the distance covered by a boy to take 4 rounds of the courtyard . The options: A ) 3573 , B ) 3455 , C ) 8600 , D ) 7000 , E ) 7200", "input": "", "output": "", "answer": "E" }, { "instruction": "city a and city b are 140 miles apart . train c departs city a , heading towards city b , at 4 : 00 and travels at 40 miles per hour . train d departs city b , heading towards city a , at 4 : 40 and travels at 20 miles per hour . the trains travel on parallel tracks . at what time do the two trains meet ? The options: A ) 5 : 00 , B ) 5 : 30 , C ) 6 : 40 , D ) 6 : 30 , E ) 7 : 00", "input": "", "output": "", "answer": "C" }, { "instruction": "a corporation that had $ 2 billion in profits for the year paid out $ 100 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 ) The options: A ) 50 % , B ) 20 % , C ) 5 % , D ) 2 % , E ) 0.2 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a man and a boy complete a work together in 24 days . if for the last 6 days man alone does the work then it is completed in 26 days . how long the boy will take to complete the work alone ? The options: A ) 72 DAys , B ) 20 DAys , C ) 24 DAys , D ) 36 DAys , E ) 34 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "mathew is planning a vacation trip to london next year from today for 5 days , he has calculated he would need about $ 3000 for expenses , including a round - trip plane ticket from l . a to london . he nets around $ 1500 monthly in gross income , after all bills are paid , he is left with about $ 350 each month free for whatever he desires . how much money would mathew need to evenly save from his $ 350 to have $ 3000 in his bank within 12 months ? The options: A ) $ 240 , B ) $ 350 , C ) $ 217 , D ) $ 250 , E ) $ 340", "input": "", "output": "", "answer": "D" }, { "instruction": "three pipes a , b and c can fill a tank from empty to full in 30 minutes , 20 minutes and 10 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution r in the liquid in the tank after 3 minutes ? The options: A ) 6 / 15 , B ) 6 / 11 , C ) 6 / 14 , D ) 6 / 12 , E ) 6 / 13", "input": "", "output": "", "answer": "B" }, { "instruction": "the present worth of rs . 1014 due in 2 years at 4 % per annum compound interest is The options: A ) rs . 150.50 , B ) rs . 937.5 , C ) rs . 156.25 , D ) rs . 158 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "if ( a \u2013 b ) is 15 more than ( c + d ) and ( a + b ) is 3 less than ( c \u2013 d ) , then ( a \u2013 c ) is : The options: A ) 6 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "A" }, { "instruction": "if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 281 pounds . what is jake \u2019 s present weight , in pounds ? The options: A ) 125 , B ) 135 , C ) 140 , D ) 165 , E ) 190", "input": "", "output": "", "answer": "E" }, { "instruction": "the total cost of 100 paper plates and 200 paper cups is $ 8.00 at the same rates what is the total cost of 20 of the plates and 40 of the cups ? The options: A ) $ . 90 , B ) $ 1.00 , C ) $ 1.20 , D ) $ 1.50 , E ) $ 1.60", "input": "", "output": "", "answer": "E" }, { "instruction": "4242 \u00d7 9999 = ? The options: A ) 42415758 , B ) 42415751 , C ) 42415752 , D ) 42415753 , E ) 42415754", "input": "", "output": "", "answer": "A" }, { "instruction": "2 cow \u2019 s and 5 goats are brought for rs . 1050 . if the average price of a goat be rs . 90 . what is the average price of a cow . The options: A ) 300 , B ) 320 , C ) 330 , D ) 350 , E ) 375", "input": "", "output": "", "answer": "A" }, { "instruction": "24 oz of juice p and 25 oz of juice v are mixed to make smothies x and y . the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? The options: A ) 5 , B ) 10 , C ) 15 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain industrial loom weaves 0.13 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ? The options: A ) 114 , B ) 115 , C ) 116 , D ) 117 , E ) 118", "input": "", "output": "", "answer": "B" }, { "instruction": "in a garden , there are yellow and green flowers which are straight and curved . if the probability of picking a green flower is 1 / 8 and picking a straight flower is 1 / 2 , then what is the probability of picking a flower which is yellow and straight The options: A ) 1 / 7 , B ) 1 / 8 , C ) 1 / 4 , D ) 3 / 4 , E ) 4 / 9", "input": "", "output": "", "answer": "E" }, { "instruction": "how many 3 digit positive integers with distinct digits are there , which are not multiples of 10 ? The options: A ) 576 , B ) 520 , C ) 504 , D ) 432 , E ) 348", "input": "", "output": "", "answer": "A" }, { "instruction": "3 pounds of 05 grass seed contain 1 percent herbicide . a different type of grass seed , 20 , which contains 20 percent herbicide , will be mixed with 3 pounds of 05 grass seed . how much grass seed of type 20 should be added to the 3 pounds of 05 grass seed so that the mixture contains 15 percent herbicide ? The options: A ) 3 , B ) 3.75 , C ) 4.5 , D ) 8.4 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "if f ( f ( n ) ) + f ( n ) = 2 n + 3 and f ( 0 ) = 1 , what is the value of f ( 2012 ) ? The options: A ) 222 , B ) 2787 , C ) 2013 , D ) 2778 , E ) 10222", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain barrel , which is a right circular cylinder , is filled to capacity with 60 gallons of oil . the first barrel is poured into a second barrel , also a right circular cylinder , which is empty . the second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel . if all of the oil in the first barrel is poured into the second barrel , how much empty capacity , in gallons , is left in the second barrel ? The options: ['A ) thErE is no Empty CApACity', 'B ) 100 gAllons', 'C ) 300 gAllons', 'D ) 420 gAllons', 'E ) 840 gAllons']", "input": "", "output": "", "answer": "D" }, { "instruction": "concentrated apples juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches . the tubes are packed into wooden boxes , each with dimensions of 11 inches by 10 inches by 31 inches . how many tubes of concentrated apples juice , at the most , can fit into 3 wooden boxes ? The options: A ) 24 . , B ) 28 . , C ) 36 . , D ) 42 . , E ) 48 .", "input": "", "output": "", "answer": "A" }, { "instruction": "a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 51.84 , the number of the member is the group is : The options: A ) 57 , B ) 67 , C ) 72 , D ) 87 , E ) 97", "input": "", "output": "", "answer": "C" }, { "instruction": "john purchased some shirts and trousers for $ 1550 . he paid $ 250 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ? The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "a cube has a volume of 125 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? The options: A ) 24 , B ) 48 , C ) 64 , D ) 80 , E ) 1000", "input": "", "output": "", "answer": "E" }, { "instruction": "a car is running at a speed of 110 kmph . what distance will it cover in 9 sec ? The options: A ) 100 m , B ) 279 m , C ) 180 m , D ) 200 m , E ) 250 m", "input": "", "output": "", "answer": "B" }, { "instruction": "in an election , candidate a got 65 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ? The options: A ) 355600 , B ) 355800 , C ) 356500 , D ) 309400 , E ) 357000", "input": "", "output": "", "answer": "D" }, { "instruction": "if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ? The options: A ) 0.125 , B ) 0.225 , C ) 0.25 , D ) 0.5 , E ) 0.666", "input": "", "output": "", "answer": "C" }, { "instruction": "in a manufacturing plant , it takes 36 machines 4 hours of continuous work to fill 6 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 12 standard orders ? The options: A ) 4 , B ) 6 , C ) 8 , D ) 9 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "a car is running at a speed of 90 kmph . what distance will it cover in 10 sec ? The options: A ) 100 m , B ) 150 m , C ) 180 m , D ) 200 m , E ) 250 m", "input": "", "output": "", "answer": "E" }, { "instruction": "how many 3 digit number formed by using 23 , 45 , 67 once such that number is divisible by 15 . The options: A ) 8 , B ) 13 , C ) 12 , D ) 20 , E ) 22", "input": "", "output": "", "answer": "A" }, { "instruction": "how many 3 digit positive integers t exist that when divided by 7 leave a remainder of 5 ? The options: A ) 128 , B ) 142 , C ) 143 , D ) 141 , E ) 129", "input": "", "output": "", "answer": "E" }, { "instruction": "in a 100 member association consisting of men and women , exactly 10 % of men and exactly 20 % women are homeowners . what is the maximum number of members who are homeowners ? The options: A ) 29 , B ) 27 , C ) 25 , D ) 23 , E ) 21", "input": "", "output": "", "answer": "A" }, { "instruction": "how many single - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ? The options: A ) nonE , B ) onE , C ) two , D ) thrEE , E ) Four", "input": "", "output": "", "answer": "B" }, { "instruction": "the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ? The options: A ) A ) 17 , B ) B ) 18 , C ) C ) 19 , D ) D ) 22 , E ) E ) 24", "input": "", "output": "", "answer": "A" }, { "instruction": "48 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ? The options: A ) 10 , B ) 16 , C ) 13 , D ) 18 , E ) 19", "input": "", "output": "", "answer": "B" }, { "instruction": "in the coordinate plane , a circle centered on point ( - 3 , 4 ) passes through point ( 1 , 1 ) . what is the area of the circle ? The options: A ) 9 \u03c0 , B ) 18 \u03c0 , C ) 25 \u03c0 , D ) 37 \u03c0 , E ) 41 \u03c0", "input": "", "output": "", "answer": "C" }, { "instruction": "a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 7 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ? The options: A ) 480 , B ) 487 , C ) 481 , D ) 840 , E ) 268", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio between x and y is 8 / 3 ; x is multiplied by x and y is multiplied by y , what is the ratio between the new values of x and y ? The options: A ) 8 / 3 , B ) 3 / 8 , C ) 1 , D ) 64 / 9 , E ) it CAn not BE DEtErminED", "input": "", "output": "", "answer": "A" }, { "instruction": "a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 100 , the runs scored by a are ? The options: A ) 11 , B ) 18 , C ) 13 , D ) 16 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "1 , 3,5 , 7,9 , . . 50 find term of sequnce The options: A ) 1230 , B ) 1300 , C ) 1500 , D ) 1679 , E ) 2500", "input": "", "output": "", "answer": "E" }, { "instruction": "a palindrome is a number that reads the same forward and backward , such as 120 . how many odd , 4 - digit numbers are palindromes ? The options: A ) 40 , B ) 55 , C ) 50 , D ) 90 , E ) 2500", "input": "", "output": "", "answer": "B" }, { "instruction": "the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 20 = 190 , what is the value of x ? The options: A ) 10 , B ) 12 , C ) 11 , D ) 13 , E ) 14", "input": "", "output": "", "answer": "C" }, { "instruction": "how many 5 digit nos are there if the 2 leftmost digits are odd and the digit 4 ca n ' t appear more than once in the number ? could someone please provide a solution using a approach other than ( 1 - x ( none ) ) approach ? The options: A ) 24300 , B ) 25700 , C ) 26500 , D ) 24400 , E ) 26300", "input": "", "output": "", "answer": "A" }, { "instruction": "the population of a bacteria colony doubles every day . if it was started 8 days ago with 3 bacteria and each bacteria lives for 12 days , how large is the colony today ? The options: A ) 512 , B ) 768 , C ) 13122 , D ) 2048 , E ) 4096", "input": "", "output": "", "answer": "C" }, { "instruction": "a cat leaps 6 leaps for every 5 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? The options: A ) 4 : 5 , B ) 2 : 3 , C ) 4 : 1 , D ) 1 : 9 , E ) 3 : 2", "input": "", "output": "", "answer": "A" }, { "instruction": "a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long . over how much area of the field can it graze ? The options: A ) 154 Cm 2 , B ) 308 m 2 , C ) 254 m 2 , D ) 260 m 2 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "if the arithmetic mean of seventy 5 numbers is calculated , it is 35 . if each number is increased by 5 , then mean of new number is ? The options: A ) 87 , B ) 40 , C ) 37 , D ) 28 , E ) 26", "input": "", "output": "", "answer": "B" }, { "instruction": "8873 + x = 13200 , then x is ? The options: A ) 3327 , B ) 4327 , C ) 3337 , D ) 2337 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a box contains 8 pairs of shoes ( 16 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? The options: A ) 1 / 190 , B ) 1 / 20 , C ) 1 / 19 , D ) 1 / 10 , E ) 1 / 15", "input": "", "output": "", "answer": "E" }, { "instruction": "sales price is $ 60 , gross profit is 140 % of cost , what is the value of gross profit ? The options: A ) 32 , B ) 33 , C ) 39 , D ) 35 , E ) 42", "input": "", "output": "", "answer": "D" }, { "instruction": "a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts 6 hours after a . if b and k overtake a at the same instant , how many hours after a did k start ? The options: A ) 3 , B ) 4.5 , C ) 4 , D ) D ) 12 , E ) E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "in an exam 80 % of the boys and 40 % of the girls passed . the number of girls who passed is 120 , which is 2 / 3 rd of the number of boys who failed . what is the total number of students who appeared for the exam ? The options: A ) 1200 , B ) 380 , C ) 3800 , D ) 2180 , E ) 3180", "input": "", "output": "", "answer": "A" }, { "instruction": "when 4 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? The options: A ) 32 , B ) 81 , C ) 60 , D ) 120 , E ) 11", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 15 brown mice in the experiment , how many mice in total are in the experiment ? The options: A ) 45 , B ) 33 , C ) 26 , D ) 21 , E ) 10", "input": "", "output": "", "answer": "A" }, { "instruction": "a merchant sells an item at a 20 % discount , but still makes a gross profit of 30 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ? The options: A ) 20 % , B ) 40 % , C ) 50 % , D ) 62.5 % , E ) 75 %", "input": "", "output": "", "answer": "D" }, { "instruction": "pipe a fills a tank in 42 minutes . pipe b can fill the same tank 6 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "D" }, { "instruction": "by weight , liquid x makes up 1.5 percent of solution p and 6.5 percent of solution q . if 200 grams of solution p are mixed with 800 grams of solution q , then liquid x accounts for what percent of the weight of the resulting solution ? The options: A ) 4.5 % , B ) 5.0 % , C ) 5.5 % , D ) 5.8 % , E ) 6.0 %", "input": "", "output": "", "answer": "C" }, { "instruction": "900 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ? The options: A ) 12.88 , B ) 12.6 , C ) 12.55 , D ) 12.21 , E ) 12.27", "input": "", "output": "", "answer": "E" }, { "instruction": "set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 2 ? The options: A ) A ) 1 , B ) B ) 2 , C ) C ) 4 , D ) D ) 8 , E ) E ) 16", "input": "", "output": "", "answer": "B" }, { "instruction": "a snail , climbing a 24 feet high wall , climbs up 4 feet on the first day but slides down 2 feet on the second . it climbs 4 feet on the third day and slides down again 2 feet on the fourth day . if this pattern continues , how many days will it take the snail to reach the top of the wall ? The options: A ) 12 , B ) 16 , C ) 17 , D ) 20 , E ) 21", "input": "", "output": "", "answer": "E" }, { "instruction": "a \u2019 s speed is 25 / 18 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? The options: A ) 1 / 18 , B ) 7 / 18 , C ) 7 / 25 , D ) 3 / 25 , E ) 1 / 25", "input": "", "output": "", "answer": "C" }, { "instruction": "the marked price of a book is 20 % more than the cost price . after the book is sold , the vendor realizes that he had wrongly raised the cost price by a margin of 25 % . if the marked price of the book is rs . 30 , what is the original cost price of the book ? The options: A ) rs . 30 , B ) rs . 25 , C ) rs . 45 , D ) rs . 20 , E ) rs . 10", "input": "", "output": "", "answer": "D" }, { "instruction": "the h . c . f . of two numbers is 18 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : The options: A ) 270 , B ) 300 , C ) 299 , D ) 322 , E ) 345", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of buses to cars on river road is 1 to 3 . if there are 20 fewer buses than cars on river road , how many cars are on river road ? The options: A ) 100 , B ) 120 , C ) 140 , D ) 30 , E ) 150", "input": "", "output": "", "answer": "D" }, { "instruction": "speed of a boat in standing water is 10 kmph and speed of the stream is 2.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ? The options: A ) 23.4 hours , B ) 22.4 hours , C ) 21.4 hours , D ) 20.4 hours , E ) 19.4 hours", "input": "", "output": "", "answer": "B" }, { "instruction": "the total of 324 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is The options: A ) 238 , B ) 277 , C ) 278 , D ) 200 , E ) 288", "input": "", "output": "", "answer": "D" }, { "instruction": "if annual decrease in the population of a town is 5 % and the present number of people is 40000 what will the population be in 2 years ? The options: A ) 24560 , B ) 26450 , C ) 36100 , D ) 38920 , E ) 45200", "input": "", "output": "", "answer": "C" }, { "instruction": "the price of lunch for 15 people was $ 206.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ? The options: A ) $ 11.73 , B ) $ 12.48 , C ) $ 13.80 , D ) $ 14.00 , E ) $ 15.87", "input": "", "output": "", "answer": "B" }, { "instruction": "a man can do a piece of work in 5 days , but with the help of his son , he can finish it in 3 days . in what time can the son do it alone ? The options: A ) 5 , B ) 5 1 / 2 , C ) 7 1 / 2 , D ) 6 , E ) 9 1 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "joe drives 600 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ? The options: A ) 42 , B ) 55 , C ) 50 , D ) 54 , E ) 56", "input": "", "output": "", "answer": "B" }, { "instruction": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 20.00 ? The options: A ) $ 10.00 , B ) $ 11.20 , C ) $ 14.40 , D ) $ 16.00 , E ) $ 18.00", "input": "", "output": "", "answer": "B" }, { "instruction": "if 20 liters of chemical x are added to 80 liters of a mixture that is 15 % chemical x and 85 % chemical y , then what percentage of the resulting mixture is chemical x ? The options: A ) 30 % , B ) 32 % , C ) 35 % , D ) 38 % , E ) 40 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a set consists of 12 numbers , all are even or multiple of 5 . if 4 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "two employees x and y are paid a total of rs . 506 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? The options: A ) s . 250 , B ) s . 280 , C ) s . 290 , D ) s . 299 , E ) s . 230", "input": "", "output": "", "answer": "E" }, { "instruction": "for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 3 * / 4 * ? The options: A ) 5 , B ) 5 / 4 , C ) 4 / 5 , D ) 1 / 4 , E ) 1 / 5", "input": "", "output": "", "answer": "B" }, { "instruction": "find the missing figures : ? % of 25 = 20125 The options: A ) 4.5 , B ) 6.5 , C ) 2.5 , D ) 7.5 , E ) 8.5", "input": "", "output": "", "answer": "E" }, { "instruction": "the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 10 students is 16 years . the age of the 15 th student is The options: A ) 9 yEArs , B ) 11 yEArs , C ) 14 yEArs , D ) 21 yEArs , E ) 9 yEArs", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 40 , find the sum of money ? The options: A ) 288 , B ) 262 , C ) 72 , D ) 205 , E ) 267", "input": "", "output": "", "answer": "D" }, { "instruction": "two trains leave the train station at the same time . one train , on the blue line , heads east - while the other , on the red line , heads west . if the train on the blue line averages 40 km / hr and the other train averages 40 km / hr - how long will it take for the trains to be 100 km apart ? The options: A ) 2 hours , B ) 2.25 hours , C ) 1 hour , D ) 1.25 hours , E ) not Enough inFormAtion", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain college ' s enrollment at the beginning of 1992 was 30 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ? The options: A ) 43 % , B ) 45 % , C ) 50 % , D ) 35 % , E ) 38 %", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the greatest possible length which can be used to measure exactly the lengths 10 m 50 cm , 14 m 55 cm and 50 cm ? The options: A ) 20 Cm , B ) 24 Cm , C ) 30 Cm , D ) 10 Cm , E ) 5 Cm", "input": "", "output": "", "answer": "E" }, { "instruction": "for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 9 + 3 and * 9 + 9 , inclusive ? The options: A ) nonE , B ) onE , C ) two , D ) thrEE , E ) Four", "input": "", "output": "", "answer": "A" }, { "instruction": "a can give b 120 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ? The options: A ) 90.09 mEtErs , B ) 111.12 mEtErs , C ) 112.12 mEtErs , D ) 113.12 mEtErs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "convert 40 miles into yards ? The options: A ) 25630 yArDs , B ) 35200 yArDs , C ) 39520 yArDs , D ) 42560 yArDs , E ) 70400 yArDs", "input": "", "output": "", "answer": "E" }, { "instruction": "a merchant marks his goods up by 30 % and then offers a discount of 20 % on the marked price . what % profit does the merchant make after the discount ? The options: A ) 8 % , B ) 10 % , C ) 21 % , D ) 15 % , E ) 4 %", "input": "", "output": "", "answer": "E" }, { "instruction": "the owner of a furniture shop charges his customer 42 % more than the cost price . if a customer paid rs . 8300 for a computer table , then what was the cost price of the computer table ? The options: A ) rs . 5725 , B ) rs . 5845 , C ) rs . 6275 , D ) rs . 6725 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "an article with cost price of 320 is sold at 18 % profit . what is the selling price ? The options: A ) 198 , B ) 200 , C ) 204 , D ) 378 , E ) 347", "input": "", "output": "", "answer": "D" }, { "instruction": "if it takes a tub 5 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? The options: A ) 48 sEConDs , B ) 1 minutE , 12 sEConDs , C ) 1 minutE , 50 sEConDs , D ) 2 minutEs , 00 sEConDs , E ) 4 minutEs , 12 sEConDs", "input": "", "output": "", "answer": "D" }, { "instruction": "a collection of books went on sale , and 2 / 3 of them were sold for $ 3.25 each . if none of the 20 remaining books were sold , what was the total amount received for the books that were sold ? The options: A ) $ 130 , B ) $ 185 , C ) $ 175 , D ) $ 165 , E ) $ 155", "input": "", "output": "", "answer": "A" }, { "instruction": "there are two cars . one is 160 miles north of the other . simultaneously , the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 30 miles per hour . how many miles apart are the cars after 3 hours ? The options: A ) 180 , B ) 200 , C ) 220 , D ) 240 , E ) 250", "input": "", "output": "", "answer": "B" }, { "instruction": "a batsman scored 120 runs which included 5 boundaries and 8 sixes . what % of his total score did he make by running between the wickets The options: A ) 43.33 % , B ) 50 % , C ) 65 % , D ) 70 % , E ) 75 %", "input": "", "output": "", "answer": "A" }, { "instruction": "given that 100.48 = x , 100.70 = y and xz = y 2 , then the value of z is close to : The options: A ) 2.2 , B ) 8.2 , C ) 2.9 , D ) 2.1 , E ) 2.6", "input": "", "output": "", "answer": "C" }, { "instruction": "how many digits are required to number a book containing 250 pages ? The options: A ) 756 , B ) 642 , C ) 492 , D ) 372 , E ) 250", "input": "", "output": "", "answer": "B" }, { "instruction": "at scratch and dents rent - a - car , it costs $ 34.95 a day plus $ 0.23 per mile to rent a car . at rent - a - lemon , the charge is $ 25.00 a day plus $ 1.31 per mile . if you need to rent a car for 3 days , how many miles ( to nearest tenth ) must you drive for a car from both agencies to cost the same amount ? The options: A ) 25.7 milEs , B ) 26.2 milEs , C ) 27.6 milEs , D ) 27.9 milEs , E ) 29.9 milEs", "input": "", "output": "", "answer": "C" }, { "instruction": "pipe a can fill a tank in 9 hours . due to a leak at the bottom , it takes 12 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ? The options: A ) 36 , B ) 88 , C ) 18 , D ) 26 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "if p is a prime number greater than 3 , find the remainder when p ^ 2 + 16 is divided by 12 . The options: A ) 5 , B ) 1 , C ) 0 , D ) 8 , E ) 7", "input": "", "output": "", "answer": "A" }, { "instruction": "a hiker walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day she walked at 7 miles per hour for 2 hours . how many miles in total did she walk ? The options: A ) 24 , B ) 52 , C ) 58 , D ) 60 , E ) 62", "input": "", "output": "", "answer": "B" }, { "instruction": "if f ( x ) = 3 x ^ 4 - 4 x ^ 3 - 2 x ^ 2 + 5 x , then f ( - 1 ) = The options: A ) - 4 , B ) - 2 , C ) 0 , D ) 2 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "carol spends 1 / 4 of her savings on a stereo and 1 / 5 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ? The options: A ) 1 / 4 , B ) 2 / 7 , C ) 5 / 12 , D ) 9 / 20 , E ) 7 / 12", "input": "", "output": "", "answer": "D" }, { "instruction": "if x is 20 percent greater than 55 , then x = The options: A ) 68 , B ) 70.4 , C ) 86 , D ) 66 , E ) 108", "input": "", "output": "", "answer": "D" }, { "instruction": "find the value of 72519 x 9999 = y ? The options: A ) 354517481 , B ) 457687783 , C ) 246567689 , D ) 725117481 , E ) 565776879", "input": "", "output": "", "answer": "D" }, { "instruction": "a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ? The options: A ) 24 , B ) 48 , C ) 60 , D ) 96 , E ) 84", "input": "", "output": "", "answer": "D" }, { "instruction": "average of 15 results is 43 . if the average of first 7 results is 41 and average of last 7 results is 45 then find the eighth result ? The options: A ) 41 , B ) 39 , C ) 43 , D ) 45 , E ) 47", "input": "", "output": "", "answer": "C" }, { "instruction": "the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 432 . find the principal ? The options: A ) 2277 , B ) 2667 , C ) 3600 , D ) 9766 , E ) 10800", "input": "", "output": "", "answer": "E" }, { "instruction": "a sprinter starts running on a circular path of radius r metres . her average speed ( in metres / minute ) is \u03c0 r during the first 30 seconds , \u03c0 r / 2 during next one minute , \u03c0 r / 4 during next 2 minutes , \u03c0 r / 8 during next 4 minutes , and so on . what is the ratio of the time taken for the nth round to that for the previous round ? The options: A ) 4 , B ) 8 , C ) 16 , D ) 32 , E ) 36", "input": "", "output": "", "answer": "C" }, { "instruction": ". a car covers a distance of 1028 km in 4 hours . find its speed ? The options: A ) 104 , B ) 255 , C ) 266 , D ) 257 , E ) 276", "input": "", "output": "", "answer": "D" }, { "instruction": "the cost price of a radio is rs . 2550 and it was sold for rs . 2130 , find the loss % ? The options: A ) 18 , B ) 10 , C ) 15 , D ) 66 , E ) 41", "input": "", "output": "", "answer": "C" }, { "instruction": "if x * y = xy \u2013 2 ( x + y ) for all integers x and y , then 4 * ( \u2013 3 ) = The options: A ) \u2013 14 , B ) \u2013 11 , C ) \u2013 4 , D ) 4 , E ) 16", "input": "", "output": "", "answer": "A" }, { "instruction": "the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 \u03c0 \u00b7 r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams t ? The options: A ) t = 16 , B ) t = 32 , C ) t = 64 , D ) 128 , E ) 512", "input": "", "output": "", "answer": "B" }, { "instruction": "an enterprising businessman earns an income of re 5 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 10 th day of business , he earns an income of : The options: A ) 21 , B ) 22 , C ) 20 , D ) 45 , E ) 30", "input": "", "output": "", "answer": "D" }, { "instruction": "a student chose a number , multiplied it by 3 , then subtracted 138 from the result and got 102 . what was the number he chose ? The options: A ) 80 , B ) 120 , C ) 130 , D ) 140 , E ) 150", "input": "", "output": "", "answer": "A" }, { "instruction": "two goods train each 500 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively find the time taken by the slower train to pass the driver of the faster one . The options: A ) 12 sEC , B ) 24 sEC , C ) 48 sEC , D ) 60 sEC , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "the population of a village is 14300 . it increases annually at the rate of 15 % p . a . what will be its population after 2 years ? The options: A ) 18911 , B ) 18788 , C ) 19898 , D ) 14000 , E ) 14400", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 20 ? The options: A ) - 1 , B ) 6 , C ) 7 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "if x / 5 + 9 / x = 14 / 5 , what are the values of 3 x - 7 ? The options: A ) 8 AnD 9 , B ) 8 AnD 20 , C ) 17 AnD 21 , D ) 12 AnD 29 , E ) 17 AnD 29", "input": "", "output": "", "answer": "B" }, { "instruction": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 23 seconds , what is the ratio of their speeds ? The options: A ) 1 : 2 , B ) 3 : 2 , C ) 3 : 1 , D ) 1 : 3 , E ) 1 : 4", "input": "", "output": "", "answer": "B" }, { "instruction": "a closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity . when the tank is placed upright on its circular base on level ground , the height of water in the tank is 4 feet . when the tank is placed on its side on level ground , what is the height , in feet , of the surface of the water above the ground ? The options: ['A ) 0 FEEt', 'B ) 1 FEEt', 'C ) 2 FEEt', 'D ) 3 FEEt', 'E ) 4 FEEt']", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of two speeds of two trains is 3 to 4 . if each of the trains slows its speed 5 km / hr , what will be the ratio of these two train speeds ? The options: A ) 3 / 4 , B ) 8 / 9 , C ) 18 / 19 , D ) 23 / 24 , E ) it CAn not BE DEtErminED From thE inFormAtion givEn", "input": "", "output": "", "answer": "E" }, { "instruction": "shopkeeper rise price by 33 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ? The options: A ) 1.745 % , B ) 4.745 % , C ) 3.745 % , D ) 6.745 % , E ) 7.745 %", "input": "", "output": "", "answer": "A" }, { "instruction": "in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13 . if the shop carries 352 dogs and bunnies total in stock , how many dogs are there ? The options: A ) 42 , B ) 66 , C ) 98 , D ) 112 , E ) 154", "input": "", "output": "", "answer": "B" }, { "instruction": "a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ? The options: A ) 48 , B ) 75 , C ) 60 , D ) 54 , E ) 45", "input": "", "output": "", "answer": "C" }, { "instruction": "when the price of an article was reduced by 25 % its sale increased by 80 % . what was the net effect on the sale ? The options: A ) 35 % inCrEAsE , B ) 44 % DECrEAsE , C ) 60 % inCrEAsE , D ) 66 % inCrEAsE , E ) 66 % DECrEAsE", "input": "", "output": "", "answer": "A" }, { "instruction": "5 years ago , the average age of a and b was 15 years . average age of a , b and c today is 20 years . how old will c be after 14 years ? The options: A ) 30 , B ) 34 , C ) 40 , D ) 50 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "one fourth of a solution that was 10 % sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ? The options: A ) 34 % , B ) 24 % , C ) 22 % , D ) 18 % , E ) 8.5 %", "input": "", "output": "", "answer": "A" }, { "instruction": "from a pack of cards , two cards are drawn one after the other , with replacement . what is the probability that the first card is a black card and the second card is a king or queen ? The options: A ) 1 / 52 , B ) 1 / 13 , C ) 1 / 26 , D ) 3 / 26 , E ) 17 / 26", "input": "", "output": "", "answer": "B" }, { "instruction": "a man whose bowling average is 22.2 , takes 4 wickets for 36 runs and thereby decreases his average by 1.2 . the number of wickets , taken by him before his last match is : The options: A ) 14 , B ) 22 , C ) 38 , D ) 40 , E ) 50", "input": "", "output": "", "answer": "D" }, { "instruction": "a can give b 100 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ? The options: A ) 10.22 mEtErs , B ) 11.22 mEtErs , C ) 22.22 mEtErs , D ) 33.22 mEtErs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a train 450 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in : The options: A ) 30 sEC , B ) 32 sEC , C ) 36 sEC , D ) 38 sEC , E ) 60 sEC", "input": "", "output": "", "answer": "E" }, { "instruction": "a rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size . which of the following could be a length of a side of the squares ? The options: ['A ) A ) 4 inChEs', 'B ) B ) 6 inChEs', 'C ) C ) 5 inChEs', 'D ) D ) 8 inChEs', 'E ) E ) 10 inChEs']", "input": "", "output": "", "answer": "C" }, { "instruction": "find the greatest number which leaves the same remainder when it divides 25 , 50 and 120 . The options: A ) 18 , B ) 5 , C ) 12 , D ) 16 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 11.6 ) + e ( \u2013 10.4 ) + o ( \u2013 9.2 ) + e ( 9.5 ) is : The options: A ) - 3 , B ) - 1 , C ) 0 , D ) 1 , E ) 3", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the smallest positive integer k such that the product of 2205 x k is a perfect square ? The options: A ) 5 , B ) 9 , C ) 15 , D ) 25 , E ) 63", "input": "", "output": "", "answer": "A" }, { "instruction": "the function f ( p ) represents the number of ways that prime numbers can be uniquely summed to form a certain number p such that p = a + b + c + d \u2026 where those summed variables are each prime and a \u2264 b \u2264 c \u2264 d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ? The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "in what time will a train 175 m long cross an electric pole , it its speed be 144 km / hr ? The options: A ) 2.58 sEC , B ) 2.91 sEC , C ) 4.37 sEC , D ) 2.9 sEC , E ) 1.8 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "a student chose a number , multiplied it by 5 , then subtracted 275 from the result and got 135 . what was the number he chose ? The options: A ) 80 , B ) 82 , C ) 84 , D ) 86 , E ) 88", "input": "", "output": "", "answer": "B" }, { "instruction": "in a can , there is a mixture of milk and water in the ratio 3 : 2 . if the can is filled with an additional 6 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ? The options: A ) 36 , B ) 34 , C ) 32 , D ) 30 , E ) 28", "input": "", "output": "", "answer": "A" }, { "instruction": "susan drives from city a to city b . after two hours of driving she noticed that she covered 80 km and calculated that , if she continued driving at the same speed , she would end up been 15 minutes late . so she increased her speed by 10 km / hr and she arrived at city b 36 minutes earlier than she planned . find the distance between cities a and b . The options: A ) 223 , B ) 376 , C ) 250 , D ) 378 , E ) 271", "input": "", "output": "", "answer": "C" }, { "instruction": "a train running at the speed of 40 km / hr crosses a pole in 9 sec . what is the length of the train ? The options: A ) 100 m , B ) 150 m , C ) 187 m , D ) 167 m , E ) 197 m", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the remainder if 7 ^ 16 is divided by 100 ? The options: A ) 3 , B ) 4 , C ) 2 , D ) 1 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a large box contains 17 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? The options: A ) 250 , B ) 350 , C ) 425 , D ) 550 , E ) 650", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the product of all the possible values of x if x ^ 2 + 5 x + 6 ? The options: A ) 12 , B ) 18 , C ) 15 , D ) 6 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 6 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? The options: A ) 5 : 1 , B ) 30 : 2 , C ) 15 : 2 , D ) 20 : 2 , E ) 25 : 2", "input": "", "output": "", "answer": "B" }, { "instruction": "a man walking at a constant rate of 9 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour . the woman stops to wait for the man 3 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 20 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? The options: A ) 2 % , B ) 5 % , C ) 8 % , D ) 10 % , E ) 12 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a school has received 50 % of the amount it needs for a new building by receiving a donation of $ 400 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ? The options: A ) $ 400 , B ) $ 177.78 , C ) $ 320 , D ) $ 277 , E ) $ 200", "input": "", "output": "", "answer": "C" }, { "instruction": "the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is The options: A ) 96.25 sq Cm , B ) 98.25 sq Cm , C ) 92.25 sq Cm , D ) 100.25 sq Cm , E ) 90.25 sq Cm", "input": "", "output": "", "answer": "E" }, { "instruction": "p software has coding line 5 % more than n , n software has coding line 1 / 2 more than m . m software has 100 lines of coding . find p lines . The options: A ) 106 , B ) 107 , C ) 108 , D ) 109 , E ) 158", "input": "", "output": "", "answer": "E" }, { "instruction": "in a garden , there are 10 rows and 15 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is The options: A ) 20 m , B ) 30 m , C ) 24 m , D ) 26 m , E ) 28 m", "input": "", "output": "", "answer": "B" }, { "instruction": "if tim had lunch at $ 50.50 and he gave 10 % tip , how much did he spend ? The options: A ) $ 30.60 , B ) $ 60.60 , C ) $ 70.60 , D ) $ 55.55 , E ) $ 50.60", "input": "", "output": "", "answer": "D" }, { "instruction": "a 240 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train . The options: A ) 260 m , B ) 220 m , C ) 230 m , D ) 240 m , E ) 250 m", "input": "", "output": "", "answer": "A" }, { "instruction": "company a imported 12,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ? The options: A ) 420 , B ) 480 , C ) 1050 , D ) 1680 , E ) 2100", "input": "", "output": "", "answer": "B" }, { "instruction": "mr . das decided to walk down the escalator of a mall . he found that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stair she would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom , find out the height of the stair way insteps ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "solution x is 30 % chemical a and 70 % chemical b by volume . solution y is 40 % chemical a and 60 % chemical b by volume . if a mixture of x and y is 36 % chemical a , what percent of the mixture is solution x ? The options: A ) 30 % , B ) 35 % , C ) 40 % , D ) 45 % , E ) 50 %", "input": "", "output": "", "answer": "C" }, { "instruction": "jim \u2019 s taxi service charges an initial fee of $ 2.45 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ? The options: A ) $ 3.15 , B ) $ 4.45 , C ) $ 4.80 , D ) $ 5.05 , E ) $ 5.6", "input": "", "output": "", "answer": "E" }, { "instruction": "a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 24 % of the original number . what percent of the red candies remain ? The options: A ) 12.5 % , B ) 16.7 % , C ) 22.5 % , D ) 27.5 % , E ) 33.3 %", "input": "", "output": "", "answer": "C" }, { "instruction": "on selling 9 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is : The options: A ) s . 145 , B ) s . 150 , C ) s . 155 , D ) s . 160 , E ) s . 180", "input": "", "output": "", "answer": "E" }, { "instruction": "boy sells a book for rs . 630 he gets a loss of 10 % , to gain 10 % , what should be the sp ? The options: A ) 430 , B ) 450 , C ) 550 , D ) 770 , E ) 660", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b can do a piece of work in 11 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ? The options: A ) 15.5 DAys , B ) 19.5 DAys , C ) 17.5 DAys , D ) 9.2 DAys , E ) 18.5 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 310 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ? The options: A ) 4 , B ) 6 , C ) 5 , D ) 17 , E ) 13", "input": "", "output": "", "answer": "D" }, { "instruction": "how many odd factors does 210 have ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "E" }, { "instruction": "sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ? The options: A ) $ 1.50 , B ) $ 1.88 , C ) $ 2.14 , D ) $ 2.50 , E ) $ 3.25", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the greatest prime factor of 2 ^ 8 - 1 ? The options: A ) 11 , B ) 13 , C ) 17 , D ) 19 , E ) 23", "input": "", "output": "", "answer": "C" }, { "instruction": "if x , y , and z are positive integers and 2 x = 3 y = 4 z , then the least possible value of x + y + z is The options: A ) 40 , B ) 50 , C ) 60 , D ) 70 , E ) 31", "input": "", "output": "", "answer": "E" }, { "instruction": "right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 7 \u2264 x \u2264 1 and 4 \u2264 y \u2264 9 , then how many different triangles can be drawn that will meet these conditions ? The options: A ) 54 , B ) 432 , C ) 2,160 , D ) 3024 , E ) 148,824", "input": "", "output": "", "answer": "D" }, { "instruction": "a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ? The options: A ) 50 , B ) 60 , C ) 90 , D ) 48 , E ) 67", "input": "", "output": "", "answer": "C" }, { "instruction": "when n is divided by 48 , the remainder is 6 . what is the remainder when 4 n is divided by 8 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "find how many positive integers less than 10000 are there such thatthe sum of the digits of the no . is divisible by 3 ? The options: A ) 2468 , B ) 2789 , C ) 2987 , D ) 3334 , E ) 3568", "input": "", "output": "", "answer": "D" }, { "instruction": "a , b and c can do a work in 7 , 14 and 21 days respectively . they completed the work and got rs . 242 . what is the share of c ? The options: A ) 33 , B ) 44 , C ) 55 , D ) 77 , E ) 99", "input": "", "output": "", "answer": "B" }, { "instruction": "the present population of a town is 4320 . population increase rate is 20 % p . a . find the population of town before 2 years ? The options: A ) 2500 , B ) 2100 , C ) 3500 , D ) 3000 , E ) 2050", "input": "", "output": "", "answer": "D" }, { "instruction": "if 12 men and 16 boys can do a piece of work in 7 days and 13 men together will 24 boys can do it in 4 days . compare the daily work done by a man with that of a boy . The options: A ) 1 : 4 , B ) 1 : 2 , C ) 1 : 3 , D ) 2 : 1 , E ) 4 : 1", "input": "", "output": "", "answer": "B" }, { "instruction": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 6 days ? The options: A ) 2 / 5 , B ) 1 / 6 , C ) 1 / 3 , D ) 1 / 9 , E ) 2 / 6", "input": "", "output": "", "answer": "C" }, { "instruction": "a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company \u2019 s latest order required a truck with at least 432,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? The options: A ) $ 960 , B ) $ 1,350 , C ) $ 1,725 , D ) $ 2,050 , E ) $ 3,375", "input": "", "output": "", "answer": "E" }, { "instruction": "in how many ways 4 boys and 4 girls can be seated in a row so that they are alternate . The options: A ) 144 , B ) 288 , C ) 12 , D ) 576 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "two men a and b start from place x walking at 4 \u00bd kmph and 5 \u00be kmph respectively . how many km apart they are at the end of 4 \u00bd hours if they are walking in the same direction ? The options: A ) 7 km , B ) 6 km , C ) 5 5 / 8 km , D ) 9 km , E ) 5 km", "input": "", "output": "", "answer": "C" }, { "instruction": "kavi spends 50 % of his monthly salary on food and saves 80 % of the remaining amount . if his monthly salary is rs . 19000 , how much money does he save every month ? The options: A ) rs . 2000 , B ) rs . 600 , C ) rs . 8000 , D ) rs . 3800 , E ) rs . 1200", "input": "", "output": "", "answer": "D" }, { "instruction": "a man can row upstream at 40 kmph and downstream at 52 kmph , and then find the speed of the man in still water ? The options: A ) 27 , B ) 40 , C ) 42 , D ) 46 , E ) 24", "input": "", "output": "", "answer": "D" }, { "instruction": "a can do a piece of work in 10 days and b alone can do it in 20 days . how much time will both take to finish the work ? The options: A ) A ) 5.333 , B ) B ) 6 , C ) C ) 6.666 , D ) D ) 8.333 , E ) E ) 9", "input": "", "output": "", "answer": "C" }, { "instruction": "a ferry can transport 100 tons of vehicles . automobiles range in weight from 1,600 to 3,000 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? The options: A ) 110 , B ) 128 , C ) 115 , D ) 130 , E ) 120", "input": "", "output": "", "answer": "E" }, { "instruction": "the simple interest on rs . 10 for 4 months at the rate of 3 paise per rupeeper month is The options: A ) 1.2 , B ) 1.4 , C ) 2.25 , D ) 3.21 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 48 seconds . find the length of the faster train ? The options: A ) 270 , B ) 288 , C ) 266 , D ) 299 , E ) 480", "input": "", "output": "", "answer": "E" }, { "instruction": "a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25 % of the original number . what percent of the red candies remain ? The options: A ) 10 % , B ) 15 % , C ) 25 % , D ) 35 % , E ) 40 %", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "E" }, { "instruction": "if - 4 and - 8 are negative integers , then - 4 * - 8 + 2 is The options: A ) - 32 , B ) - 30 , C ) 34 , D ) - 24 , E ) - 10", "input": "", "output": "", "answer": "C" }, { "instruction": "the maximum number of students among them 1234 pens and 874 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : The options: A ) 91 , B ) 2 , C ) 1001 , D ) 1911 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a boatman selling a boat along river flow . if he sell boat in steal water at 3 m / sec and flow of river is 2 m / sec . how much time he will take to sell 100 m . The options: A ) 30 , B ) 10 , C ) 15 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "D" }, { "instruction": "a man can row his boat with the stream at 12 km / h and against the stream in 8 km / h . the man ' s rate is ? The options: A ) 2 kmph , B ) 6 kmph , C ) 7 kmph , D ) 4 kmph , E ) 9 kmph", "input": "", "output": "", "answer": "A" }, { "instruction": "jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 60,000 after completion of one year . what will be madhu ' s share of profit ? The options: A ) rs . 27,000 , B ) rs . 24,000 , C ) rs . 30,000 , D ) rs . 36,000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "if the average ( arithmetic mean ) of a and b is 120 , and the average of b and c is 150 , what is the value of a \u2212 c ? The options: A ) \u2212 60 , B ) \u2212 100 , C ) 100 , D ) 135 , E ) it CAn not BE DEtErminED From thE inFormAtion givEn", "input": "", "output": "", "answer": "A" }, { "instruction": "a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 30 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? The options: A ) 23 % . , B ) 71 % . , C ) 49 % . , D ) 29 % . , E ) 51 % .", "input": "", "output": "", "answer": "A" }, { "instruction": "if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 3 x years from now ? The options: A ) 32 , B ) 35 , C ) 30 , D ) 40 , E ) 27", "input": "", "output": "", "answer": "E" }, { "instruction": "jack and jill work at a hospital with 4 other workers . for an internal review , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ? The options: A ) 1 / 3 , B ) 1 / 4 , C ) 1 / 15 , D ) 3 / 8 , E ) 2 / 3", "input": "", "output": "", "answer": "C" }, { "instruction": "a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 35 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ? The options: A ) 65 % , B ) 70 % , C ) 75 % , D ) 89 % , E ) 95 %", "input": "", "output": "", "answer": "D" }, { "instruction": "what least number must be added to 9879 , so that the sum is completely divisible by 10 ? The options: A ) 3 , B ) 4 , C ) 1 , D ) 2 , E ) 6", "input": "", "output": "", "answer": "C" }, { "instruction": "solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 150 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? The options: A ) 250 / 3 , B ) 500 / 3 , C ) 400 , D ) 450 , E ) 600", "input": "", "output": "", "answer": "D" }, { "instruction": "a cycle is bought for rs . 750 and sold for rs . 1080 , find the gain percent ? The options: A ) 22 , B ) 44 , C ) 99 , D ) 88 , E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "a , b and c invested rs . 6500 , rs . 1300 and rs . 7800 respectively , in a partnership business . find the share of b in profit of rs . 11700 after a year ? The options: A ) 1300 , B ) 3877 , C ) 1170 , D ) 975 , E ) 7800", "input": "", "output": "", "answer": "D" }, { "instruction": "the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 65.0 . what is the quiz score of the student who dropped the class ? The options: A ) A ) 10 , B ) B ) 25 , C ) C ) 40 , D ) D ) 55 , E ) E ) 70", "input": "", "output": "", "answer": "B" }, { "instruction": "evaluate 35 % of 450 + 45 % of 350 The options: A ) 232 , B ) 242 , C ) 315 , D ) 262 , E ) 272", "input": "", "output": "", "answer": "C" }, { "instruction": "when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.12 , what is the value of y ? The options: A ) 96 , B ) 75 , C ) 66.7 , D ) 25 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "a bullock cart has to cover a distance of 80 km in 10 hrs . if it covers half of the journey in 3 / 5 th time . what should be its speed to cover the remaining distance in the time left . The options: A ) 10 kmph , B ) 20 kmph , C ) 30 kmph , D ) 40 kmph , E ) 50 kmph", "input": "", "output": "", "answer": "A" }, { "instruction": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 300 as interest at the end of the loan period , what was the rate of interest ? The options: A ) 5 , B ) 6 , C ) 18 , D ) CAn not BE DEtErminED , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "if the number 872 , 152,24 x is divisible by 11 , what must be the value of x ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ? The options: A ) 5.5 , B ) 15 , C ) 25.5 , D ) 30 , E ) 60", "input": "", "output": "", "answer": "A" }, { "instruction": "one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 150 cm when it touches the floor on third time . what is the value of the original height ? The options: A ) 60 Cm , B ) 90 Cm , C ) 100 Cm , D ) 120 Cm , E ) 130 Cm", "input": "", "output": "", "answer": "A" }, { "instruction": "a furniture manufacturer has two machines , but only one can be used at a time . machine w is utilized during the first shift and machine b during the second shift , while both work half of the third shift . if machine w can do the job in 12 days working two shifts and machine b can do the job in 15 days working two shifts , how many days will it take to do the job with the current work schedule ? The options: A ) 14 , B ) 13 , C ) 11 , D ) 9 , E ) 7", "input": "", "output": "", "answer": "D" }, { "instruction": "what will be the remainder when 17 ^ 200 is divided by 18 ? The options: A ) 3 , B ) 8 , C ) 5 , D ) 1 , E ) 7", "input": "", "output": "", "answer": "D" }, { "instruction": "calculate 469200 x 9999 = ? The options: A ) 4586970843 , B ) 4686970743 , C ) 4691100843 , D ) 4586870843 , E ) 4691530800", "input": "", "output": "", "answer": "E" }, { "instruction": "how many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph ? The options: A ) 26 , B ) 72 , C ) 25 , D ) 23 , E ) 27", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of first six prime numbers which are between 60 and 90 is The options: A ) 35.4 , B ) 42 , C ) 45.7 , D ) 57 , E ) 72.33", "input": "", "output": "", "answer": "E" }, { "instruction": "a is two years older than b who is twice as old as c . if the total ages of a , b and c be 27 . what is the age of b ? The options: A ) 12 yEArs , B ) 10 yEArs , C ) 8 yEArs , D ) 14 yEArs , E ) 16 yEArs", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year . each of the first 22 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 22 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ? The options: A ) 447.5 , B ) 450 , C ) 465 , D ) 468 , E ) 475", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is : The options: A ) 12 , B ) 16 , C ) 24 , D ) 48 , E ) 120", "input": "", "output": "", "answer": "E" }, { "instruction": "a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 102 . find the divisor ? The options: A ) 370 , B ) 365 , C ) 380 , D ) 456 , E ) 460", "input": "", "output": "", "answer": "C" }, { "instruction": "the banker \u00e2 \u20ac \u2122 s discount of a certain sum of money is rs . 90 and the true discount on the same sum for the same time is rs . 60 . the sum due is The options: A ) 210 , B ) 180 , C ) 360 , D ) 450 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "s is a positive integer and multiple of 2 ; p = 4 ^ s , what is the remainder when p is divided by 10 ? The options: A ) 10 , B ) 6 , C ) 4 , D ) 0 , E ) it CAn not BE DEtErminED", "input": "", "output": "", "answer": "B" }, { "instruction": "if the sum of two numbers is 22 and the sum of their squares is 386 , then the product of the numbers is The options: A ) 40 , B ) 49 , C ) 80 , D ) 88 , E ) 90", "input": "", "output": "", "answer": "B" }, { "instruction": "the largest 4 digit number exactly divisible by 88 is ? The options: A ) 9934 , B ) 9938 , C ) 9940 , D ) 9942 , E ) 9944", "input": "", "output": "", "answer": "E" }, { "instruction": "a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 80 percent of the drive from the center , what percent of the round - trip has the technician completed ? The options: A ) 50 , B ) 60 , C ) 70 , D ) 80 , E ) 90", "input": "", "output": "", "answer": "E" }, { "instruction": "if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 15 - m ) then m = ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio between the length and the breadth of a rectangular park is 3 : 4 . if a man cycling along the boundary of the park at the speed of 15 km / hr completes one round in 10 min , then the area of the park ( in sq . m ) is ? The options: A ) 244907.04 m , B ) 244000 m , C ) 244900 m , D ) 400000 m , E ) 154300 m", "input": "", "output": "", "answer": "A" }, { "instruction": "$ 378 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? The options: A ) $ 200 , B ) $ 208 , C ) $ 216 , D ) $ 224 , E ) $ 232", "input": "", "output": "", "answer": "C" }, { "instruction": "harkamal purchased 8 kg of grapes at the rate of 75 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ? The options: A ) A ) 1000 , B ) B ) 1055 , C ) C ) 1065 , D ) D ) 1075 , E ) E ) 1095", "input": "", "output": "", "answer": "E" }, { "instruction": "if the side length of square b is sqrt ( 5 ) times that of square a , the area of square b is how many times the area of square a ? The options: A ) 1.5 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain quantity of 50 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? The options: A ) 1 / 4 , B ) 1 / 3 , C ) 1 / 2 , D ) 2 / 3 , E ) 3 / 5", "input": "", "output": "", "answer": "E" }, { "instruction": "a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ? The options: A ) 10 % , B ) 8 % , C ) 6 % , D ) 4 % , E ) 2 %", "input": "", "output": "", "answer": "D" }, { "instruction": "there is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save . auggie was very curious to test this theory . auggie spent all of his money in 5 stores . in each store , he spent rs . 4 more than one - half of what he had when he went in . how many rupees did auggie have when he entered the first store ? The options: A ) 248 , B ) 120 , C ) 252 , D ) 250 , E ) 350", "input": "", "output": "", "answer": "A" }, { "instruction": "an artist wishes to paint a circular region on a square poster that is 2.4 feet on a side . if the area of the circular region is to be 1 / 2 the area of the poster , what must be the radius of the circular region in feet ? The options: A ) 1 / pi , B ) sqrt ( 2.88 / pi ) , C ) 1 , D ) 2 / sqrt ( pi ) , E ) pi / 2", "input": "", "output": "", "answer": "B" }, { "instruction": "5359 x 51 = ? The options: A ) 273232 , B ) 273243 , C ) 273247 , D ) 273250 , E ) 273309", "input": "", "output": "", "answer": "E" }, { "instruction": "3 people are planning to share equally the cost of a rental car . if one person withdraws from the arrangement and the others share equally the entire cost of the car , then the share of each of the remaining persons increased by : The options: A ) 1 / 2 , B ) 2 / 7 , C ) 3 / 2 , D ) 4 / 7 , E ) nonE oF thEm", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ? The options: A ) 72 sEC , B ) 132 sEC , C ) 192 sEC , D ) 252 sEC , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 35 . find the profit percentage ? The options: A ) 80 % , B ) 50 % , C ) 75 % , D ) 40 % , E ) 53 %", "input": "", "output": "", "answer": "C" }, { "instruction": "how many 1 / 8 s are there in 37 1 / 2 ? The options: A ) 300 , B ) 400 , C ) 500 , D ) 600 , E ) 700", "input": "", "output": "", "answer": "A" }, { "instruction": "pipe p can drain the liquid from a tank in 2 / 4 the time that it takes pipe q to drain it and in 2 / 3 the time that it takes pipe r to do it . if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank , then pipe q drains what portion of the liquid from the tank ? The options: A ) 3 / 13 , B ) 8 / 23 , C ) 3 / 8 , D ) 17 / 29 , E ) 3 / 4", "input": "", "output": "", "answer": "A" }, { "instruction": "in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz The options: A ) 3.6 Cm , B ) 2.4 Cm , C ) 4.0 Cm , D ) 2.16 Cm , E ) 3.2 Cm", "input": "", "output": "", "answer": "C" }, { "instruction": "the average runs of a cricket player of 10 innings was 20 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? The options: A ) 22 , B ) 77 , C ) 64 , D ) 19 , E ) 17", "input": "", "output": "", "answer": "C" }, { "instruction": "a , b and c start a business each investing 20,000 . after 10 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 71400 was recorded . find the share of b . The options: A ) 20,000 , B ) 21,200 , C ) 23,200 , D ) 20,500 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of the even numbers between 1 and k is 79 * 80 , where k is an odd number , then k = The options: A ) 79 , B ) 80 , C ) 81 , D ) 157 , E ) 159", "input": "", "output": "", "answer": "E" }, { "instruction": "how long does a train 125 m long running at the speed of 78 km / hr takes to cross a bridge 125 m length ? The options: A ) 12.7 sEC , B ) 10.1 sEC , C ) 11.5 sEC , D ) 12.1 sEC , E ) 11.7 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "ele , the circus elephant , is currently 3 times older than lyn , the circus lion . in 15 years from now , lyn the circus lion will be exactly half as old as ele , the circus elephant . how old is ele today ? The options: A ) 40 , B ) 48 , C ) 43 , D ) 45 , E ) 41", "input": "", "output": "", "answer": "D" }, { "instruction": "a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is The options: A ) 28 yEArs , B ) 22 yEArs , C ) 23 yEArs , D ) 24 yEArs , E ) 26 yEArs", "input": "", "output": "", "answer": "A" }, { "instruction": "lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 94,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : The options: A ) 0.20833 , B ) 0.14544 , C ) 0.25632 , D ) 0.35466 , E ) 0.20304", "input": "", "output": "", "answer": "E" }, { "instruction": "the length of the bridge , which a train 110 meters long and travelling at 45 km / hr can cross in 30 seconds , is : The options: A ) 265 , B ) 244 , C ) 245 , D ) 238 , E ) 236", "input": "", "output": "", "answer": "A" }, { "instruction": "cole drove from home to work at an average speed of 60 kmh . he then returned home at an average speed of 100 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ? The options: A ) 66 , B ) 70 , C ) 72 , D ) 75 , E ) 78", "input": "", "output": "", "answer": "D" }, { "instruction": "if the radius of a circle is decreased 50 % , what happens to the area ? The options: A ) 10 % DECrEAsE , B ) 20 % DECrEAsE , C ) 75 % DECrEAsE , D ) 40 % DECrEAsE , E ) 50 % DECrEAsE", "input": "", "output": "", "answer": "C" }, { "instruction": "sakshi can do a piece of work in 30 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work : The options: A ) 15 , B ) 16 , C ) 14 , D ) 25 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the greatest prime factor of 3 ^ 8 - 1 ? The options: A ) 29 , B ) 31 , C ) 37 , D ) 41 , E ) 43", "input": "", "output": "", "answer": "D" }, { "instruction": "calculate the ratio between x and y if 90 % of x equal to 60 % of y ? The options: A ) 1 : 2 , B ) 3 : 5 , C ) 3 : 2 , D ) 3 : 4 , E ) 5 : 2", "input": "", "output": "", "answer": "C" }, { "instruction": "find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 15 cm and 5 cm ? The options: A ) 100 Cm 2 , B ) 150 Cm 2 , C ) 200 Cm 2 , D ) 250 Cm 2 , E ) 500 Cm 2", "input": "", "output": "", "answer": "E" }, { "instruction": "a train 1200 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? The options: A ) 2898 , B ) 277 , C ) 500 , D ) 100 , E ) 435", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of first five prime numbers greater than 5 is ? The options: A ) 13.4 , B ) 12.26 , C ) 12.3 , D ) 32.8 , E ) 32.4", "input": "", "output": "", "answer": "A" }, { "instruction": "a right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube . if the volume of the cube is 343 cc , what approximately is the volume of the cone ? The options: ['A ) 80 CC', 'B ) 90 CC', 'C ) 110 CC', 'D ) 105 CC', 'E ) 100 CC']", "input": "", "output": "", "answer": "B" }, { "instruction": "if the given two numbers are respectively 7 % and 28 % of a third number , then what percentage is the first of the second ? The options: A ) 20 % , B ) 25 % , C ) 18 % , D ) 30 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a pupil ' s marks were wrongly entered as 83 instead of 53 . due to the average marks for the class got increased by half . the number of pupils in the class is ? The options: A ) 18 , B ) 82 , C ) 60 , D ) 27 , E ) 29", "input": "", "output": "", "answer": "C" }, { "instruction": "the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ? The options: ['A ) 10', 'B ) 12.5', 'C ) 15', 'D ) 16', 'E ) 17.5']", "input": "", "output": "", "answer": "B" }, { "instruction": "if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2160 less than the principal . what was the principal ? The options: A ) 1500 , B ) 2500 , C ) 2700 , D ) 3200 , E ) 11500", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 948 in total compensation , how many total hours did he work that week ? The options: A ) 36 , B ) 40 , C ) 44 , D ) 48 , E ) 51", "input": "", "output": "", "answer": "E" }, { "instruction": "a line has a slope of 3 / 4 and intersects the point w ( - 12 , - 39 ) . at which point does this line intersect the x - axis ? The options: A ) ( 40,0 ) , B ) ( 30,0 ) , C ) ( 0,40 ) , D ) ( 40,30 ) , E ) ( 0,30 )", "input": "", "output": "", "answer": "A" }, { "instruction": "a salesman commission is 5 % on all sales upto $ 10000 and 4 % on all sales exceeding this . he remits $ 31100 to his parent company after deducting his commission . find the total sales ? The options: A ) $ 30000 , B ) $ 32500 , C ) $ 35120 , D ) $ 41520 , E ) $ 25460", "input": "", "output": "", "answer": "B" }, { "instruction": "how much 60 % of 50 is greater than 34 % of 30 ? The options: A ) 18 , B ) 19.8 , C ) 11 , D ) 17 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "a man can row 5 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ? The options: A ) 5.75 , B ) 5.7 , C ) 5.76 , D ) 4.2 , E ) 5.71", "input": "", "output": "", "answer": "D" }, { "instruction": "how long does a truck of 200 m long traveling at 60 kmph takes to cross a bridge of 180 m in length ? The options: A ) 36.7 , B ) 26.8 , C ) 22.8 , D ) 21.1 , E ) 16.2", "input": "", "output": "", "answer": "C" }, { "instruction": "difference between the length & breadth of a rectangle is 10 m . if its perimeter is 206 m , then its area is ? The options: ['A ) 2400 m ^ 2', 'B ) 1500 m ^ 2', 'C ) 2520 m ^ 2', 'D ) 1200 m ^ 2', 'E ) 2580 m ^ 2']", "input": "", "output": "", "answer": "D" }, { "instruction": "1370 , 1320 , x , - 180 , - 6430 The options: A ) 1070 , B ) 6530 , C ) 6630 , D ) 6730 , E ) 6830", "input": "", "output": "", "answer": "A" }, { "instruction": "machine x takes 50 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce The options: A ) 100 , B ) 3.6 , C ) 25 , D ) 11 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? The options: A ) 0 , B ) 1 , C ) 27 , D ) 54 , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "D" }, { "instruction": "paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 40 % of his income to sam and 60 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? The options: A ) 11 / 12 , B ) 13 / 17 , C ) 13 / 19 , D ) 12 / 19 , E ) 27 / 19", "input": "", "output": "", "answer": "E" }, { "instruction": "if p / q = 3 / 7 , then 2 p + q = ? The options: A ) 12 , B ) 14 , C ) 13 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "C" }, { "instruction": "in a box of 9 pens , a total of 2 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? The options: A ) 4 / 7 , B ) 5 / 9 , C ) 6 / 11 , D ) 7 / 12 , E ) 8 / 15", "input": "", "output": "", "answer": "D" }, { "instruction": "sum of two numbers is 63 . their difference is 1 / 8 of their sum . their l . c . m is The options: A ) 231 , B ) 153 , C ) 351 , D ) 345 , E ) 355", "input": "", "output": "", "answer": "C" }, { "instruction": "if 36 men can do a piece of work in 25 hours , in how mwny hours will 15 men do it ? The options: A ) 22 , B ) 38 , C ) 60 , D ) 88 , E ) 72", "input": "", "output": "", "answer": "C" }, { "instruction": "the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is : The options: A ) 1 % , B ) 2 % , C ) 3 % , D ) 5 % , E ) 4 %", "input": "", "output": "", "answer": "D" }, { "instruction": "last year the price range ( per kg ) for 100 varieties of apples in wholesale market was $ 100 . if the prices of each of the 100 varieties increased by 10 percent this year over what it was last year , what is the range of the wholesale prices of the 1000 varieties of apples this year ? The options: A ) $ 50 , B ) $ 100 , C ) $ 110 , D ) $ 600 , E ) $ 300", "input": "", "output": "", "answer": "C" }, { "instruction": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ? The options: A ) rs . 2000 , B ) rs . 2200 , C ) rs . 2400 , D ) DAtA inADEquAtE , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "A" }, { "instruction": "the tailor has a 10 meter long piece of fabric for which to sew a ball room dress . she has to cuts this fabric into strips of 200 centimeters each . how long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ? The options: A ) 150 , B ) 200 , C ) 188 , D ) 245 , E ) 123", "input": "", "output": "", "answer": "D" }, { "instruction": "find 60 / 42 * 4 The options: A ) 14.7653 , B ) 0.5897 , C ) 3.6974 , D ) 0.3571 , E ) 1.2587", "input": "", "output": "", "answer": "D" }, { "instruction": "find the average of all prime numbers between 30 and 50 ? The options: A ) 18.9 , B ) 19.8 , C ) 39.8 , D ) 29.8 , E ) 20.8", "input": "", "output": "", "answer": "C" }, { "instruction": "in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 4720 votes were polled , then how many valid votes did b get ? The options: A ) 1534 , B ) 2999 , C ) 2834 , D ) 2777 , E ) 2991", "input": "", "output": "", "answer": "A" }, { "instruction": "if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ? The options: A ) 62.45 % , B ) 64.55 % , C ) 66.65 % , D ) 68.75 % , E ) 70.85 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years . find the average age of the women ? The options: A ) 24 , B ) 25 , C ) 26 , D ) 27 , E ) 28", "input": "", "output": "", "answer": "E" }, { "instruction": "operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 4 , when a # b = 100 ? The options: A ) 5 , B ) 9 , C ) 10 , D ) 13 , E ) 17", "input": "", "output": "", "answer": "B" }, { "instruction": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 500 per sq . metre . The options: A ) $ 10312.50 , B ) $ 13512.50 , C ) $ 16512.50 , D ) $ 14512.50 , E ) $ 18512.50", "input": "", "output": "", "answer": "A" }, { "instruction": "a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ? The options: A ) 34 , B ) 40 , C ) 68 , D ) 21 , E ) 78", "input": "", "output": "", "answer": "D" }, { "instruction": "each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum k in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is The options: A ) 90 % , B ) 80 % , C ) 70 % , D ) 60 % , E ) 40 %", "input": "", "output": "", "answer": "A" }, { "instruction": "how many positive integers less than 250 are multiple of 4 but not multiples of 6 ? The options: A ) 20 , B ) 31 , C ) 42 , D ) 53 , E ) 64", "input": "", "output": "", "answer": "C" }, { "instruction": "a ferry can transport 50 tons of vehicles . automobiles range in weight from 1,600 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? The options: A ) 23 , B ) 41 , C ) 48 , D ) 62 , E ) 86", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the ratio between perimeters of two squares one having 8 times the diagonal then the other ? The options: A ) 3 : 6 , B ) 3 : 3 , C ) 3 : 8 , D ) 8 : 1 , E ) 3 : 2", "input": "", "output": "", "answer": "D" }, { "instruction": "a bank pays interest to its customers on the last day of the year . the interest paid to a customer is calculated as 10 % of the average monthly balance maintained by the customer . john is a customer at the bank . on the last day , when the interest was accumulated into his account , his bank balance doubled to $ 5080 . what is the average monthly balance maintained by john in his account during the year ? The options: A ) 2840 , B ) 5680 , C ) 6840 , D ) 25400 , E ) 28400", "input": "", "output": "", "answer": "D" }, { "instruction": "a bus 75 m long is running with a speed of 21 km / hr . in what time will it pass a woman who is walking at 3 km / hr in the direction opposite to that in which the bus is going ? The options: A ) 5.75 , B ) 7.62 , C ) 11.25 , D ) 4.25 , E ) 3.25", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the largest power of 3 contained in 200 ! The options: A ) 88 , B ) 48 , C ) 66 , D ) 97 , E ) 39", "input": "", "output": "", "answer": "D" }, { "instruction": "reeya obtained 40 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average The options: A ) 66 , B ) 75 , C ) 80 , D ) 85 , E ) 90", "input": "", "output": "", "answer": "A" }, { "instruction": "the distance from city a to city b is 100 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ? The options: A ) 45 , B ) 48 , C ) 50 , D ) 52 , E ) 54", "input": "", "output": "", "answer": "C" }, { "instruction": "on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with thrice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per glass on the second day ? The options: A ) $ 015 , B ) $ 0.20 , C ) $ 0.30 , D ) $ 0.40 , E ) $ 0.45", "input": "", "output": "", "answer": "C" }, { "instruction": "8597 - ? = 7429 - 4358 The options: A ) 3567 , B ) 6424 , C ) 6835 , D ) 5526 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 24 , what is the remainder when k is divided by 7 ? The options: A ) 2 , B ) 5 , C ) 6 , D ) 3 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "E" }, { "instruction": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ? The options: A ) 12.6 , B ) 12.0 , C ) 12.1 , D ) 12.3 , E ) 12.2", "input": "", "output": "", "answer": "B" }, { "instruction": "a train covers a distance of 12 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ? The options: A ) 298 , B ) 288 , C ) 120 , D ) 776 , E ) 991", "input": "", "output": "", "answer": "C" }, { "instruction": "mary ' s income is 60 % more than tim ' s income and tim ' s income is 60 % less than juan ' s income . what % of juan ' s income is mary ' s income . The options: A ) 124 % , B ) B . 120 % , C ) 64 % , D ) 80 % , E ) 64 %", "input": "", "output": "", "answer": "C" }, { "instruction": "11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? The options: A ) 80 , B ) 160 , C ) 720 , D ) 1100 , E ) 1540", "input": "", "output": "", "answer": "E" }, { "instruction": "pipe a can fill the tank in 30 minutes and pipe b can empty the tank in 90 minutes . how long it will take to fill the tank if both pipes are operating together ? The options: A ) 30 , B ) 35 , C ) 40 , D ) 45 , E ) 50", "input": "", "output": "", "answer": "D" }, { "instruction": "an electric pump can fill a tank in 4 hours . because of a leak in the tank , it took 8 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ? The options: A ) 10 hours , B ) 12 hours , C ) 8 hours , D ) 5 hours , E ) 15 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 203 ? The options: A ) 1,108 , B ) 2,100 , C ) 2,108 , D ) 2,120 , E ) 2,256", "input": "", "output": "", "answer": "D" }, { "instruction": "sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 07 : 00 and starts climbing at a constant pace . ken starts climbing only at 09 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ? The options: A ) 13 : 00 , B ) 13 : 30 , C ) 14 : 00 , D ) 15 : 00 , E ) 15 : 30", "input": "", "output": "", "answer": "C" }, { "instruction": "if 3 girls can do 3 times of a particular work in 3 days , then , 7 girls can do 7 times of that work in The options: A ) 1 1 / 5 DAys , B ) 2 DAys , C ) 2 1 / 5 DAys , D ) 3 DAys , E ) 4 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum fetched a total simple interest of 4043.25 at the rate of 9 % . p . a . in 5 years . what is the sum ? The options: A ) 5768 , B ) 8985 , C ) 2345 , D ) 6474 , E ) 8723", "input": "", "output": "", "answer": "B" }, { "instruction": "when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.68 ? The options: A ) 5 , B ) 6 , C ) 4 , D ) 3 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "arun is travelling on his cycle and has calculated to reach point a at 2 pm if he travels at 10 kmph . he will reach there at 12 noon if he travels at 15 kmph . at what speed must he travel to reach a at 1 pm ? The options: A ) 8 kmph , B ) 12 kmph , C ) 10 kmph , D ) 14 kmph , E ) 15 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "rs . 600 amounts to rs . 900 in 3 years at simple interest . if the interest is increased by 4 % , it would amount to how much ? The options: A ) 672 , B ) 246 , C ) 258 , D ) 856 , E ) 653", "input": "", "output": "", "answer": "A" }, { "instruction": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions . The options: A ) 843.03 m , B ) 844.03 m , C ) 845.03 m , D ) 846.03 m , E ) 847.03 m", "input": "", "output": "", "answer": "B" }, { "instruction": "the angle between the minute hand and the hour hand of a clock when the time is 7.30 , is The options: A ) 35 \u00b0 , B ) 65 \u00b0 , C ) 55 \u00b0 , D ) 45 \u00b0 , E ) 95 \u00b0", "input": "", "output": "", "answer": "D" }, { "instruction": "find the least number which when divided by 26 , 36 and 46 leaves the remainders 12 , 22 and 32 respectively . The options: A ) 10570 , B ) 10750 , C ) 17050 , D ) 10075 , E ) 10085", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain bag contains 100 balls \u00e2 \u20ac \u201d 50 white , 25 green , 10 yellow , 7 red , and 8 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? The options: A ) 0.9 , B ) 0.85 , C ) 0.6 , D ) 0.8 , E ) 0.5", "input": "", "output": "", "answer": "B" }, { "instruction": "a 1 k . m . long wire is held by n poles . if one pole is removed , the length of the gap becomes 12 / 3 m . what is the number of poles initially ? The options: A ) 500 , B ) 501 , C ) 502 , D ) 503 , E ) 504", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain deep blue paint contains 45 percent blue pigment and 55 percent red pigment by weight . a certain green paint contains 35 percent blue pigment and 65 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ? The options: A ) 1.5 , B ) 2.5 , C ) 3.5 , D ) 2.75 , E ) 4.5", "input": "", "output": "", "answer": "D" }, { "instruction": "the angle between the minute hand and the hour hand of a clock when the time is 4.20 , is The options: A ) 0 \u00b0 , B ) 5 \u00b0 , C ) 10 \u00b0 , D ) 20 \u00b0 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "p and q started a business investing rs . 48,000 and rs . 24,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ? The options: A ) 2 : 6 , B ) 2 : 3 , C ) 2 : 1 , D ) 17 : 9 , E ) 17 : 4", "input": "", "output": "", "answer": "C" }, { "instruction": "the average expenditure of a labourer for 6 months was 95 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i The options: A ) 70 , B ) 72 , C ) 75 , D ) 78 , E ) 84", "input": "", "output": "", "answer": "E" }, { "instruction": "the least number which must be subtracted from 6709 to make it exactly divisible by 9 is : The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "C" }, { "instruction": "xavier starts from p towards q at a speed of 90 kmph and after every 12 mins increases his speed by 20 kmph . if the distance between p and q is 61 km , then how much time does he take to cover the distance ? The options: A ) 52 , B ) 48 , C ) 44 , D ) 40 , E ) 36", "input": "", "output": "", "answer": "E" }, { "instruction": "if 60 % of 3 / 5 of a number is 18 , then the number is ? The options: A ) 80 , B ) 100 , C ) 75 , D ) 50 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a driver just filled the car ' s gas tank with 18 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ? The options: A ) 1 , B ) 1.5 , C ) 1.8 , D ) 2.4 , E ) 3", "input": "", "output": "", "answer": "A" }, { "instruction": "in covering a distance of 30 km , arun takes 22 hours more than anil . if arun doubles his speed , then he would take 1 hour less than anil . what is arun ' s speed ? The options: A ) 8 kmph , B ) 5 kmph , C ) 4 kmph , D ) 7 kmph , E ) 9 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "in the new budget the price of wheat rose by 8 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ? The options: A ) 7.5 % , B ) 7.41 % , C ) 10.9 % , D ) 12.6 % , E ) 15 %", "input": "", "output": "", "answer": "B" }, { "instruction": "find the length of the wire required to go 12 times round a square field containing 104976 m 2 . The options: A ) 15840 , B ) 3388 , C ) 2667 , D ) 8766 , E ) 15552", "input": "", "output": "", "answer": "E" }, { "instruction": "three numbers are in the ratio 5 : 4 : 3 and their average is 360 . the largest number is : The options: A ) 30 , B ) 450 , C ) 27 , D ) 21 , E ) 22", "input": "", "output": "", "answer": "B" }, { "instruction": "a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find a ' s share . The options: A ) rs . 3240 , B ) rs . 2520 , C ) rs . 2880 , D ) rs . 3360 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction e of the sum of the 21 numbers in the list ? The options: A ) 1 / 20 , B ) 1 / 6 , C ) 1 / 5 , D ) 4 / 21 , E ) 5 / 21", "input": "", "output": "", "answer": "B" }, { "instruction": "( 4300331 ) - ? = 2535618 The options: A ) 1865113 , B ) 1775123 , C ) 1764713 , D ) 1675123 , E ) nonE oF thEm", "input": "", "output": "", "answer": "C" }, { "instruction": "a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets euro 1000 more than d , what is b ' s share ? The options: A ) Euro 1000 , B ) Euro 3000 , C ) Euro 5000 , D ) Euro 4000 , E ) Euro 2000", "input": "", "output": "", "answer": "E" }, { "instruction": "the simple form of the ratio 4 / 3 : 4 / 5 is ? The options: A ) 10 : 6 , B ) 10 : 3 , C ) 15 : 3 , D ) 5 : 3 , E ) 30 : 3", "input": "", "output": "", "answer": "D" }, { "instruction": "the s . i . on a certain sum of money for 5 years at 6 % per annum is half the c . i . on rs . 3000 for 2 years at 15 % per annum . the sum placed on s . i . is ? The options: A ) 1525.2 , B ) 1256.3 , C ) 1612.5 , D ) 1548.5 , E ) 1254.5", "input": "", "output": "", "answer": "C" }, { "instruction": "if a and b are positive integers , and a = 20 b - 15 , the greatest common divisor of a and b can not be The options: A ) 1 , B ) 3 , C ) 18 , D ) 15 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ? The options: A ) 10.5 % , B ) 12.5 % , C ) 15 % , D ) 22 % , E ) 16 %", "input": "", "output": "", "answer": "E" }, { "instruction": "the radius of the two circular fields is in the ratio 4 : 5 the area of the first field is what percent less than the area of the second ? The options: A ) 42 % , B ) 39 % , C ) 38 % , D ) 36 % , E ) 26 %", "input": "", "output": "", "answer": "D" }, { "instruction": "what is rate of interest if principal . amount be 400 , simple interest 80 and time 2 year . The options: A ) 10 , B ) 12.5 , C ) 25 , D ) 12 , E ) 14.5", "input": "", "output": "", "answer": "A" }, { "instruction": "if 0.20 : x : : 4 : 2 , then x is equal to The options: A ) 0.2 , B ) 0.3 , C ) 0.1 , D ) 0.5 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "along a yard 225 metres long , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees The options: A ) 8 , B ) 9 , C ) 10 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "a retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles . what is the percentage of profit made by the retailer ? The options: A ) 66.67 % , B ) 33.33 % , C ) 40 % , D ) 25 % , E ) 20 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a basket contains 10 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ? The options: A ) 2 / 9 , B ) 3 / 8 , C ) 2 / 7 , D ) 1 / 6 , E ) 1 / 5", "input": "", "output": "", "answer": "E" }, { "instruction": "s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is The options: A ) 158 , B ) 597 , C ) 599 , D ) 402 , E ) 510", "input": "", "output": "", "answer": "E" }, { "instruction": "a 14 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? The options: A ) 5 / 14 , B ) 3 / 14 , C ) 8 / 21 , D ) 6 / 7 , E ) 2 / 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 191 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? The options: A ) 7,251 , B ) 8406 , C ) 9216 , D ) 10,348 , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a . The options: A ) 240 , B ) 288 , C ) 277 , D ) 877 , E ) 361", "input": "", "output": "", "answer": "A" }, { "instruction": "on a certain day , tim invested $ 1,000 at 10 percent annual interest , compounded annually , and lana invested 2,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim \u2019 s investment in the first 2 years was how much greater than the total amount of interest earned by lana \u2019 s investment in the first 2 years ? The options: A ) $ 5 , B ) $ 15 , C ) $ 50 , D ) $ 100 , E ) $ 105", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the angle between the minute and the hour hand of the clock which shows 12 : 24 ? The options: A ) 115 , B ) 120 , C ) 124 , D ) 130 , E ) 132", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the value of 3 x ^ 2 \u2212 1.8 x + 0.7 for x = 0.6 ? The options: A ) \u2212 0.3 , B ) 0 , C ) 0.3 , D ) 0.7 , E ) 2.46", "input": "", "output": "", "answer": "D" }, { "instruction": "find the value of ( 70 + 28 / 100 ) \u00d7 100 The options: A ) 7028 , B ) 4028 , C ) 3128 , D ) 3256 , E ) 5264", "input": "", "output": "", "answer": "A" }, { "instruction": "a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts ove ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time after the train has crossed the mike do the john meets to mike ? rtaking the john ( he is riding on the horse ) before it starts overtaking the mike The options: A ) 2534 , B ) 3545 , C ) 3521 , D ) 4564 , E ) 3576", "input": "", "output": "", "answer": "E" }, { "instruction": "working together , jose and jane can complete an assigned task in 10 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 25 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose The options: A ) 25 DAys , B ) 30 DAys , C ) 60 DAys , D ) 65 DAys , E ) 36 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "if the sales tax be reduced from 5 ( 1 / 3 ) % to 3 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 5000 ? The options: A ) rs . 156.66 , B ) rs . 111.23 , C ) rs . 120.66 , D ) rs . 91.66 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 20 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red car ? The options: A ) 0.1 , B ) 0.6 , C ) 1 , D ) 1.5 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "how many internal diagonals does a pentagon ( five sided polygon ) have ? The options: A ) 5 , B ) 8 , C ) 9 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm . what is the ratio of the width and the area of the rectangle ? The options: A ) 1 : 76 , B ) 1 : 80 , C ) 1 : 84 , D ) 1 : 88 , E ) 1 : 92", "input": "", "output": "", "answer": "D" }, { "instruction": "a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams . find the profit percent . The options: A ) 1.05 , B ) 1.06 , C ) 1.01 , D ) 1.08 , E ) 1.09", "input": "", "output": "", "answer": "C" }, { "instruction": "a basket contains 9 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ? The options: A ) 2 / 3 , B ) 2 / 5 , C ) 2 / 7 , D ) 2 / 9 , E ) 2 / 11", "input": "", "output": "", "answer": "D" }, { "instruction": "26 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ? The options: A ) 25 , B ) 30 , C ) 50 , D ) 55 , E ) 65", "input": "", "output": "", "answer": "E" }, { "instruction": "a work as fast as b . if b can complete a work in 24 days independently , the number of days in which a and b can together finish the work in ? The options: A ) 2 DAys , B ) 3 DAys , C ) 8 DAys , D ) 5 DAys , E ) 6 DAys", "input": "", "output": "", "answer": "C" }, { "instruction": "if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 20 , then n = The options: A ) 3 , B ) 6 , C ) 19 , D ) 23 , E ) 24", "input": "", "output": "", "answer": "C" }, { "instruction": "in a division sum , the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is : The options: A ) 110.6 , B ) 129.5 , C ) 130.5 , D ) 86 , E ) 88", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain junior class has 100 students and a certain senior class has 80 students . among these students , there are 6 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ? The options: A ) 3 / 40000 , B ) 1 / 3600 , C ) 9 / 2000 , D ) 3 / 4000 , E ) 1 / 15", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular swimming pool is 20 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 576 square feet . what is the width of the deck ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "A" }, { "instruction": "a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? The options: ['A ) 18 \u00b0', 'B ) 36 \u00b0', 'C ) 54 \u00b0', 'D ) 72 \u00b0', 'E ) 90 \u00b0']", "input": "", "output": "", "answer": "C" }, { "instruction": "10 stickers numbered 1 to 10 are placed in a bowl , mixed up thoroughly and then one sticker is drawn randomly . if it is known that the number on the drawn sticker is more than 3 , what is the probability that it is an even number ? The options: A ) 3 / 7 , B ) 4 / 7 , C ) 5 / 7 , D ) 7 / 11 , E ) 9 / 11", "input": "", "output": "", "answer": "B" }, { "instruction": "for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score w for the exam ? The options: A ) 74 , B ) 76 , C ) 78 , D ) 80 , E ) 82", "input": "", "output": "", "answer": "A" }, { "instruction": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 450 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ? The options: A ) 65 , B ) 44 , C ) 21.21 , D ) 16 , E ) 14", "input": "", "output": "", "answer": "C" }, { "instruction": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 9 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ? The options: A ) 72 % , B ) 80 % , C ) 100 % , D ) 120 % , E ) 125 %", "input": "", "output": "", "answer": "A" }, { "instruction": "two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 4 carpenters build in 1 hours ? The options: A ) 1.6 . , B ) 3.6 . , C ) 4.2 . , D ) 5.5 . , E ) 6.4", "input": "", "output": "", "answer": "A" }, { "instruction": "220 metres long yard , 21 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees The options: A ) 10 , B ) 12 , C ) 14 , D ) 11 , E ) 17", "input": "", "output": "", "answer": "D" }, { "instruction": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 10 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ? The options: A ) 20 km , B ) 30 km , C ) 40 km , D ) 50 km , E ) 60 km", "input": "", "output": "", "answer": "D" }, { "instruction": "a student travels from his house to school at 10 km / hr and reaches school 1 hour late . the next day he travels 12 km / hr and reaches school 1 hour early . what is the distance between his house and the school ? The options: A ) 100 , B ) 105 , C ) 110 , D ) 115 , E ) 120", "input": "", "output": "", "answer": "E" }, { "instruction": "43 : 34 : : 52 : ? The options: A ) 49 , B ) 25 , C ) 36 , D ) 64 , E ) 56", "input": "", "output": "", "answer": "B" }, { "instruction": "two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ? The options: A ) 13 sEC . , B ) 14 sEC . , C ) 12 sEC . , D ) 15 sEC . , E ) 19 sEC .", "input": "", "output": "", "answer": "D" }, { "instruction": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 7 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ? The options: A ) 28 / 9 , B ) 4 / 3 , C ) 15 / 8 , D ) 9 / 4 , E ) 15 / 4", "input": "", "output": "", "answer": "A" }, { "instruction": "according to a recent student poll , 4 / 6 out of 24 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ? The options: A ) 1 / 14 , B ) 4 / 49 , C ) 2 / 7 , D ) 62 / 69 , E ) 13 / 14", "input": "", "output": "", "answer": "D" }, { "instruction": "there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 15 , then find the smaller number ? The options: A ) 25 , B ) 66 , C ) 88 , D ) 89 , E ) 53", "input": "", "output": "", "answer": "A" }, { "instruction": "the two lines y = x and x = - 5 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ? The options: A ) 16 , B ) 5 / \u221a 2 , C ) 8 , D ) 2 \u221a 2 , E ) ( \u221a 2 ) / 3", "input": "", "output": "", "answer": "B" }, { "instruction": "in school there are some bicycles and 4 wheeler wagons . one tuesday there are 190 wheels in the campus . how many bicycles are there ? The options: A ) 35 , B ) 36 , C ) 37 , D ) 38 , E ) 39", "input": "", "output": "", "answer": "E" }, { "instruction": "a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1500 , then his salary per month in rupees is : The options: A ) 4000 , B ) 6000 , C ) 8000 , D ) 10000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain pond , 90.00001 fish were caught , tagged , and returned to the pond . a few days later , 90 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ? The options: A ) 400 , B ) 625 , C ) 1250 , D ) 2500 , E ) 4091", "input": "", "output": "", "answer": "E" }, { "instruction": "in a garden , there are yellow and green flowers which are straight and curved . if the probability of picking a green flower is 1 / 5 and picking a straight flower is 1 / 2 , then what is the probability of picking a flower which is yellow and straight The options: A ) 1 / 7 , B ) 1 / 8 , C ) 2 / 5 , D ) 3 / 4 , E ) 7 / 8", "input": "", "output": "", "answer": "C" }, { "instruction": "a reduction of 20 % in the price of salt enables a lady to obtain 2 kgs more for rs . 100 , find the original price per kg ? The options: A ) 12.6 , B ) 12.1 , C ) 12.5 , D ) 12.4 , E ) 12.7", "input": "", "output": "", "answer": "C" }, { "instruction": "in what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way ? The options: A ) 6 sEC , B ) 7 sEC , C ) 8 sEC , D ) 11 sEC , E ) 2 sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "x , a , z , and b are single digit positive integers . x = 1 / 7 a . z = 1 / 7 b . ( 10 a + b ) \u2013 ( 10 x + z ) could not equal The options: A ) 30 , B ) 36 , C ) 42 , D ) 63 , E ) 66", "input": "", "output": "", "answer": "D" }, { "instruction": "there are two groups of students in the sixth grade . there are 45 students in group a , and 55 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 40 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ? The options: A ) 23 % , B ) 25 % , C ) 29 % , D ) 31 % , E ) 36 %", "input": "", "output": "", "answer": "D" }, { "instruction": "in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 43 sets / day . the average production per day for day last 5 days is ? The options: A ) 20 , B ) 36 , C ) 8 , D ) 50 , E ) 59", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5 v 2 cm ? The options: ['A ) 20 v 2', 'B ) 10', 'C ) 10 v 2', 'D ) 20', 'E ) 25']", "input": "", "output": "", "answer": "C" }, { "instruction": "country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 12,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ? The options: A ) $ 1600 , B ) $ 6000 , C ) $ 6050 , D ) $ 1200 , E ) $ 8000", "input": "", "output": "", "answer": "D" }, { "instruction": "if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ? The options: A ) 71 , B ) 75 , C ) 85 , D ) 83 , E ) 82", "input": "", "output": "", "answer": "A" }, { "instruction": "find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1904 ? The options: A ) 1700 , B ) 2777 , C ) 2889 , D ) 27670 , E ) 2771", "input": "", "output": "", "answer": "A" }, { "instruction": "the overall age of x and y is 11 year greater than the overall age of y and z . z is how many decades younger that x ? The options: A ) 11 , B ) 15 , C ) 12 , D ) 17 , E ) 19", "input": "", "output": "", "answer": "A" }, { "instruction": "the difference between the place value and the face value of 5 in the numeral 856973 is The options: A ) 973 , B ) 6973 , C ) 5994 , D ) 49995 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ? The options: A ) 15 , B ) 18 , C ) 10 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "C" }, { "instruction": "the mean of 50 observations was 36 . it was found later that an observation 47 was wrongly taken as 23 . the corrected new mean is The options: A ) 35.24 , B ) 36.16 , C ) 36.22 , D ) 36.48 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 324 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ? The options: A ) 27 m , B ) 24 m , C ) 18 m , D ) 21 m , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a watch was sold at a loss of 10 % . if it was sold for rs . 182 more , there would have been a gain of 4 % . what is the cost price ? The options: A ) s : 1000 , B ) s : 1067 , C ) s : 1278 , D ) s : 1300 , E ) s : 1027", "input": "", "output": "", "answer": "D" }, { "instruction": "the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 4 . find their incomes ? The options: A ) 112.5 , 158.5 , B ) 180.5 , 150 , C ) 100 , 200 , D ) 112.5 , 150 , E ) 122.5 , 150", "input": "", "output": "", "answer": "D" }, { "instruction": "a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 10 - sided polygon have ? The options: A ) 875 , B ) 35 , C ) 1425 , D ) 2025 , E ) 2500", "input": "", "output": "", "answer": "B" }, { "instruction": "what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ? The options: A ) 17 / 36 , B ) 36 / 17 , C ) 7 / 6 , D ) 27 / 20 , E ) 51 / 44", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b start walking towards each other at 5 am at speed of 4 kmph and 8 kmph . they were initially 36 km apart . at what time do they meet ? The options: A ) 8 Am , B ) 6 Am , C ) 7 Am , D ) 10 Am , E ) 8 pm", "input": "", "output": "", "answer": "A" }, { "instruction": "a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 3 students left over . what is the sum of the two smallest possible values of n ? The options: A ) 54 , B ) 58 , C ) 62 , D ) 66 , E ) 70", "input": "", "output": "", "answer": "C" }, { "instruction": "a train 150 m long running at 72 kmph crosses a platform in 28 sec . what is the length of the platform ? The options: A ) 410 m , B ) 354 m , C ) 450 m , D ) 350 m , E ) 250 m", "input": "", "output": "", "answer": "A" }, { "instruction": "the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs , find his highest score . The options: A ) 179 , B ) 367 , C ) 189 , D ) 177 , E ) 191", "input": "", "output": "", "answer": "C" }, { "instruction": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 1000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ? The options: A ) 250 , B ) 1,600 / 3 , C ) 1,000 , D ) 1,500 , E ) 2,500", "input": "", "output": "", "answer": "A" }, { "instruction": "in town x , 64 percent of the population are employed , and 35 percent of the population are employed males . what percent of the employed people in town x are females ? The options: A ) 16 % , B ) 25 % , C ) 32 % , D ) 45 % , E ) 52 %", "input": "", "output": "", "answer": "D" }, { "instruction": "everyone shakes hands with everyone else in a room . total number of handshakes is 91 . number of persons = ? The options: A ) 14 , B ) 12 , C ) 11 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "A" }, { "instruction": "12008 - 50 \u00f7 10.00 = ? The options: A ) 1195 , B ) 120 , C ) 12000 , D ) 12003 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "6 ^ 4 \u2212 4 ^ 4 = ? The options: A ) 20 , B ) 52 , C ) 104 , D ) 520 , E ) 1040", "input": "", "output": "", "answer": "E" }, { "instruction": "find the value of ( 950 + 220 / 900 ) \u00d7 900 The options: A ) 854542 , B ) 856945 , C ) 758965 , D ) 855220 , E ) 826450", "input": "", "output": "", "answer": "D" }, { "instruction": "__ 2 a x __ b ____ cc in the multiplication problem above , a , b , and c represent distinct digits . if the sum of a and b is equal to 4.6 , what is the value of c ? The options: A ) 6 , B ) 5.2 , C ) 4 , D ) 3 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 9 % . if ron imported a $ 18,000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ? The options: A ) $ 11500 , B ) $ 11000 , C ) $ 12000 , D ) $ 12100 , E ) $ 12500", "input": "", "output": "", "answer": "B" }, { "instruction": "if ( 4 - x ) / ( 3 + x ) = x , what is the value of x ^ 2 + 4 x - 4 ? The options: A ) - 4 , B ) - 1 , C ) 0 , D ) 1 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 2 , - 2 ) , ( 2 , 6 ) , ( 14 , 2 ) , ( 14 , - 5 ) ? The options: A ) 90 , B ) 95 , C ) 104 , D ) 117 , E ) 182", "input": "", "output": "", "answer": "A" }, { "instruction": "a scuba diver descends at a rate of 40 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3000 feet below the sea level . . how long will he take to reach the ship ? The options: A ) 70 minutEs , B ) 72 minutEs , C ) 75 minutEs , D ) 76 minutEs , E ) 77 minutEs", "input": "", "output": "", "answer": "C" }, { "instruction": "a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ? The options: A ) 9 DAys , B ) 21 DAys , C ) 24 DAys , D ) 27 DAys , E ) 28 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "running at the same constant rate , 6 identical machines can produce a total of 270 pens per minute . at this rate , how many pens could 10 such machines produce in 4 minutes ? The options: A ) 1500 , B ) 1545.6 , C ) 1640.33 , D ) 1800 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 14 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches ) The options: A ) 5184 , B ) 5276 , C ) 5368 , D ) 5460 , E ) 5552", "input": "", "output": "", "answer": "A" }, { "instruction": "from the sale of sleeping bags , a retailer made a gross profit of 13 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ? The options: A ) 3.0 , B ) 3.36 , C ) 24.78 , D ) 25.0 , E ) 31.36", "input": "", "output": "", "answer": "C" }, { "instruction": "a light has a rating of 86 watts , it is replaced with a new light that has 18 % higher wattage . how many watts does the new light have ? The options: A ) 105 , B ) 95 , C ) 80 , D ) 60 , E ) 101", "input": "", "output": "", "answer": "E" }, { "instruction": "a boat running upstream takes 8 hours 48 minutes to cover a certain distance , while it takes 4 hours to cover the same distance running downstream . what is the ratio between the speed of the boat and speed of the water current respectively ? The options: A ) 8 / 5 , B ) 8 / 3 , C ) 3 / 5 , D ) 5 / 8 , E ) 5 / 3", "input": "", "output": "", "answer": "B" }, { "instruction": "a worker makes a toy in every 1 h . if he works for 100 h , then how many toys will he make ? The options: A ) 40 , B ) 54 , C ) 45 , D ) 39 , E ) 100", "input": "", "output": "", "answer": "E" }, { "instruction": "there are 3000 students in a school and among them 20 % of them attends chess class . 40 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ? The options: A ) 240 , B ) 10 , C ) 100 , D ) 50 , E ) 20", "input": "", "output": "", "answer": "A" }, { "instruction": "the present population of a town is 280 . population increase rate is 10 % p . a . find the population of town after 1 years ? The options: A ) 100 , B ) 120 , C ) 200 , D ) 220 , E ) 308", "input": "", "output": "", "answer": "E" }, { "instruction": "mary sold boxes of butter cookies . ann sold 5 times as much as she did . 18 boxes of cookies were sold that day , how many boxes did mary sell ? The options: A ) 3 , B ) 5 , C ) 6 , D ) 10 , E ) 18", "input": "", "output": "", "answer": "A" }, { "instruction": "a batsman in his 9 th inning makes a score of 75 and their by increasing his average by 7 . what is his average after the 9 th inning ? The options: A ) 12 , B ) 19 , C ) 26 , D ) 33 , E ) 40", "input": "", "output": "", "answer": "B" }, { "instruction": "a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ? The options: A ) 3.2 km , B ) 3 km , C ) 2.4 km , D ) 3.6 km , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 4 x boxes ? The options: A ) 3 minutEs , B ) 4 minutEs , C ) 5 minutEs , D ) 6 minutEs , E ) 8 minutEs", "input": "", "output": "", "answer": "E" }, { "instruction": "in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 4 rows in all and a total of 134 bricks in the wall , how many bricks does the bottom row contain ? The options: A ) 30 , B ) 31 , C ) 32 , D ) 33 , E ) 34", "input": "", "output": "", "answer": "C" }, { "instruction": "if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? The options: A ) $ 1.60 , B ) $ 16.00 , C ) $ 93.00 , D ) $ 108.00 , E ) $ 196.00", "input": "", "output": "", "answer": "C" }, { "instruction": "a man engaged a servant on the condition that he would pay him rs . 1000 and a uniform after one year service . he served only for 9 months and received uniform and rs . 550 , find the price of the uniform ? The options: A ) s . 80 , B ) s . 85 , C ) s . 90 , D ) s . 800 , E ) s . 120", "input": "", "output": "", "answer": "D" }, { "instruction": "how many distinct prime numbers are factors of 33150 ? The options: A ) Four , B ) FivE , C ) six , D ) sEvEn , E ) Eight", "input": "", "output": "", "answer": "B" }, { "instruction": "a glass was filled with 24 ounces of water , and 0.06 ounce of the water evaporated each day during a 12 - day period . what percent of the original amount of water evaporated during this period ? The options: A ) 0.003 % , B ) 0.03 % , C ) 3 % , D ) 2 % , E ) 30 %", "input": "", "output": "", "answer": "C" }, { "instruction": "i chose a number and divide it by 4 . then i subtracted 18 from the result and got 7 . what was the number i chose ? The options: A ) 600 , B ) 100 , C ) 800 , D ) 900 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 76 persons . 54 can read hindu , 43 can read times , 37 can read deccan and 15 can read all . if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu . The options: A ) 21 , B ) 22 , C ) 23 , D ) 24 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "the original price of a suit is $ 100 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? The options: A ) $ 88 , B ) $ 96 , C ) $ 100 , D ) $ 106 , E ) $ 110", "input": "", "output": "", "answer": "B" }, { "instruction": "the average runs scored by a batsman in 20 matches is 40 . in the next 30 matches the batsman scored an average of 20 runs . find his average in all the 50 matches ? The options: A ) 31 , B ) 46 , C ) 28 , D ) 13 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of 55 consecutive integers is 5555 . what is the greatest integer in the set ? The options: A ) 126 , B ) 128 , C ) 130 , D ) 132 , E ) 134", "input": "", "output": "", "answer": "B" }, { "instruction": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5000 , the number of valid votes that the other candidate got , was : The options: A ) 1800 , B ) 2700 , C ) 2900 , D ) 2200 , E ) 2300", "input": "", "output": "", "answer": "A" }, { "instruction": "how many ounces of a 60 % salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50 % salt ? The options: A ) 16.67 , B ) 30 , C ) 50 , D ) 60.33 , E ) 150", "input": "", "output": "", "answer": "E" }, { "instruction": "for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ? The options: A ) 0.05 , B ) 0.0625 , C ) 0.2 , D ) 0.25 , E ) 0.6", "input": "", "output": "", "answer": "C" }, { "instruction": "chocolate bars are sold in packages of 4 or 9 only . if mark bought 97 chocolate bars exactly , what could be the number of large packs mark bought ? The options: A ) 3 , B ) 4 , C ) 8 , D ) 9 , E ) 13", "input": "", "output": "", "answer": "D" }, { "instruction": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 20 % profit ? The options: A ) 2000 , B ) 2778 , C ) 2299 , D ) 1920 , E ) 2771", "input": "", "output": "", "answer": "D" }, { "instruction": "a student completes a 3 part exam as follows . the student completes sections a in 6 minutes and takes an equal time to complete the two remaining sections . what is the ratio of time spent on section c to section a if the total duration is 1 hour ? The options: A ) 7 : 1 , B ) 9 : 2 , C ) 8 : 3 , D ) 5 : 2 , E ) 6 : 1", "input": "", "output": "", "answer": "B" }, { "instruction": "find the least number must be subtracted from 531742 so that remaining no . is divisible by 3 ? The options: A ) 4 , B ) 5 , C ) 1 , D ) 2 , E ) 3", "input": "", "output": "", "answer": "C" }, { "instruction": "10 men can cut 10 trees in 2 hours . if 2 men leave the job , how many trees will be cut in 3 hours ? The options: A ) 12 , B ) 15 , C ) 16 , D ) 18 , E ) 20", "input": "", "output": "", "answer": "A" }, { "instruction": "a person ' s present age is one - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ? The options: A ) A ) 25 , B ) B ) 44 , C ) C ) 32 , D ) D ) 45 , E ) E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "find the product of the place value and face value of 3 in 5769354 The options: A ) 900 , B ) 9000 , C ) 90 , D ) 9 , E ) 0.9", "input": "", "output": "", "answer": "A" }, { "instruction": "if x and y are integers such that x ^ 2 = 2 y and xy = 32 , then x \u2013 y = ? The options: A ) - 30 , B ) - 20 , C ) - 5 , D ) - 4 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "a shopkeeper loses 15 % , if an article is sold for $ 102 . what should be the selling price of the article to gain 20 % ? The options: A ) $ 165 , B ) $ 174 , C ) $ 144 , D ) $ 164 , E ) $ 183", "input": "", "output": "", "answer": "C" }, { "instruction": "after decreasing 24 % in the price of an article costs rs . 912 . find the actual cost of an article ? The options: A ) 226 , B ) 255 , C ) 1200 , D ) 2771 , E ) 332", "input": "", "output": "", "answer": "C" }, { "instruction": "a man sells an article at 10 % gain . had be sold at for rs . 60 / - more he could have gained 20 % what is cost price of article The options: A ) rs . 500 , B ) rs . 600 , C ) rs . 650 , D ) rs . 760 , E ) rs . 800", "input": "", "output": "", "answer": "B" }, { "instruction": "a train covers a distance of 10 km in 20 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ? The options: A ) 50 , B ) 80 , C ) 120 , D ) 100 , E ) 40", "input": "", "output": "", "answer": "A" }, { "instruction": "if x \u00a4 y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then \u221a 7 \u00a4 \u221a 7 = The options: A ) 0 , B ) 5 , C ) 10 , D ) 15 , E ) 28", "input": "", "output": "", "answer": "E" }, { "instruction": "6 people can do work in 80 days how much people they required to complete the work in 16 days ? The options: A ) 10 , B ) 20 , C ) 30 , D ) 40 , E ) 50", "input": "", "output": "", "answer": "C" }, { "instruction": "the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ? The options: A ) 10 , B ) 10.5 , C ) 11 , D ) 11.5 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 140 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ? The options: A ) 14.83 , B ) 14.81 , C ) 14.8 , D ) 15.25 , E ) 14.12", "input": "", "output": "", "answer": "D" }, { "instruction": "a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 40 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ? The options: A ) $ 37.80 , B ) $ 38.50 , C ) $ 39.20 , D ) $ 44.33 , E ) $ 40.60", "input": "", "output": "", "answer": "D" }, { "instruction": "a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 8 % dividend at the end of the year , then how much does he get ? The options: A ) rs . 500 , B ) rs . 600 , C ) rs . 960 , D ) rs . 720 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "a man took loan from a bank at the rate of 12 % p . a . s . i . after 20 years he had to pay rs . 1500 interest only for the period . the principal amount borrowed by him was ? The options: A ) 625 , B ) 700 , C ) 950 , D ) 825 , E ) 630", "input": "", "output": "", "answer": "A" }, { "instruction": "david and lewis leave chennai for tirupati simultaneously at 7 a . m in the morning driving in two cars at speeds of 60 mph and 80 mph respectively . as soon as lewis reaches tirupati he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 160 miles , how far from chennai did david and lewis meet ? The options: A ) 100 mliEs , B ) 120 milEs , C ) 90 milEs , D ) 95 milEs , E ) 110 milEs", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the smallest positive perfect square that is divisible by 12 , 14 , and 42 ? The options: A ) 900 , B ) 1089 , C ) 1600 , D ) 1764 , E ) 2025", "input": "", "output": "", "answer": "D" }, { "instruction": "rs . 6000 is lent out in two parts . one part is lent at 7 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ? The options: A ) 5 : 1 , B ) 5 : 7 , C ) 5 : 5 , D ) 5 : 9 , E ) 5 : 3", "input": "", "output": "", "answer": "A" }, { "instruction": "the product of x and y is a constant . if the value of x is increased by 60 % , by what percentage must the value of y be decreased ? The options: A ) 30 % , B ) 32 % , C ) 35 % , D ) 37.5 % , E ) 40 %", "input": "", "output": "", "answer": "D" }, { "instruction": "linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ? The options: A ) $ 1500 , B ) $ 1600 , C ) $ 1700 , D ) $ 1800 , E ) $ 1900", "input": "", "output": "", "answer": "B" }, { "instruction": "city a to city b , andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ? The options: A ) 56 , B ) 57.5 , C ) 58.9 , D ) 61.4 , E ) 62", "input": "", "output": "", "answer": "B" }, { "instruction": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 15 kmph and prasanna moves southward at a speed of 45 kmph . how far will be prasanna from laxmi after 60 minutes ? The options: A ) 11 , B ) 50 , C ) 28 , D ) 27 , E ) 60", "input": "", "output": "", "answer": "E" }, { "instruction": "car x began traveling at an average speed of 35 miles per hour . after 84 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ? The options: A ) 140 , B ) 175 , C ) 210 , D ) 245 , E ) 270", "input": "", "output": "", "answer": "D" }, { "instruction": "the cost of producing x tools by a company is given by c ( x ) = 600 x + 5500 ( in $ ) a ) what is the cost of 100 tools ? The options: A ) 65500 $ , B ) 125800 $ , C ) 125900 $ , D ) 6500 $ , E ) 122500 $", "input": "", "output": "", "answer": "A" }, { "instruction": "how many odd numbers between 10 and 1,000 are the squares of integers ? The options: ['A ) 12', 'B ) 13', 'C ) 14', 'D ) 15', 'E ) 16']", "input": "", "output": "", "answer": "C" }, { "instruction": "a man can row 11 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ? The options: A ) 6.24 km , B ) 6 km , C ) 5.76 km , D ) 5.66 km , E ) 10.87 km", "input": "", "output": "", "answer": "E" }, { "instruction": "if the l . c . m of two numbers is 720 and their product is 38880 , find the h . c . f of the numbers . The options: A ) 50 , B ) 30 , C ) 125 , D ) 54 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a , b and c have rs . 400 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? The options: A ) A ) 150 , B ) B ) 140 , C ) C ) 130 , D ) D ) 120 , E ) E ) 110", "input": "", "output": "", "answer": "A" }, { "instruction": "an agent , gets a commission of 2.5 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth The options: A ) 333 , B ) 500 , C ) 887 , D ) 299 , E ) 132", "input": "", "output": "", "answer": "B" }, { "instruction": "an empty wooden vessel weighs 20 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled . The options: A ) 3 / 5 , B ) 5 / 9 , C ) 1 / 24 , D ) 9 / 19 , E ) 2 / 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a cycle is bought for rs . 900 and sold for rs . 990 , find the gain percent ? The options: A ) 39 % , B ) 20 % , C ) 23 % , D ) 74 % , E ) 10 %", "input": "", "output": "", "answer": "E" }, { "instruction": "( 0.0066 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.006 ) = The options: A ) 990 , B ) 99.0 , C ) 9.9 , D ) 0.99 , E ) 0.099", "input": "", "output": "", "answer": "A" }, { "instruction": "in the manufacture of a certain product , 9 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ? The options: A ) 0.15 % , B ) 0.45 % , C ) 0.8 % , D ) 1.25 % , E ) 2.0 %", "input": "", "output": "", "answer": "B" }, { "instruction": "let c be defined as the sum of all prime numbers between 0 and 30 . what is c / 3 The options: A ) 155 , B ) 129 , C ) 61 , D ) 47 , E ) 43", "input": "", "output": "", "answer": "E" }, { "instruction": "if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 9600 ? The options: A ) 11 , B ) 13 , C ) 14 , D ) 18 , E ) 16", "input": "", "output": "", "answer": "E" }, { "instruction": "a 6 % stock yields 8 % . the market value of the stock is : The options: A ) 33 , B ) 75 , C ) 44 , D ) 27 , E ) 91", "input": "", "output": "", "answer": "B" }, { "instruction": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 16 , what was the price before the first discount ? The options: A ) $ 18.44 , B ) $ 28.44 , C ) $ 48.44 , D ) $ 58.44 , E ) $ 38.44", "input": "", "output": "", "answer": "B" }, { "instruction": "in an election between the two candidates , the candidates who gets 60 % of votes polled is winned by 280 votes majority . what is the total number of votes polled ? The options: A ) 1400 , B ) 1600 , C ) 1800 , D ) 2000 , E ) 2100", "input": "", "output": "", "answer": "A" }, { "instruction": "a work can be finished in 16 days by 5 women . the same work can be finished in 8 days by sixteen men . the ratio between the capacity of a man and a woman is The options: A ) 1 : 3 , B ) 4 : 3 , C ) 2 : 3 , D ) 2 : 1 , E ) 5 : 8", "input": "", "output": "", "answer": "E" }, { "instruction": "the height of a cylinder is 60 cm and the diameter of its base is 5 cm . the total surface area of the cylinder is The options: ['A ) 918.14', 'B ) 981.41', 'C ) 982.14', 'D ) 928.41', 'E ) nonE oF thEm']", "input": "", "output": "", "answer": "C" }, { "instruction": "a tank is filled by 3 pipes a , b , c in 7 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ? The options: A ) 25 hr , B ) 35 hr , C ) 40 hr , D ) 49 hr , E ) 50 hr", "input": "", "output": "", "answer": "D" }, { "instruction": "there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 27 , then find the smaller number ? The options: A ) 25 , B ) 66 , C ) 45 , D ) 88 , E ) 44", "input": "", "output": "", "answer": "C" }, { "instruction": "a worker is paid a regular rate of rs . 20 for completing a survey . the worker completes 100 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 10 % higher than her regular rate . if she completed 70 surveys involving the use of her cellphone , how much did she get that week ? The options: A ) 2140 , B ) 1140 , C ) 550 , D ) 650 , E ) 750", "input": "", "output": "", "answer": "A" }, { "instruction": "if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 38 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ? The options: A ) $ 700 , B ) $ 800 , C ) $ 900 , D ) $ 1100 , E ) $ 1200", "input": "", "output": "", "answer": "C" }, { "instruction": "if taxi fares were $ 2.00 for the first 1 / 5 mile and $ 0.40 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was The options: A ) $ 4.60 , B ) $ 9.80 , C ) $ 19.60 , D ) $ 9.60 , E ) $ 29.60", "input": "", "output": "", "answer": "D" }, { "instruction": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 42 kmph , find the speed of the stream ? The options: A ) 16 kmph , B ) 18 kmph , C ) 14 kmph , D ) 79 kmph , E ) 27 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "by selling an article at rs . 300 , a profit of 25 % is made . find its cost price ? The options: A ) s . 486 , B ) s . 455 , C ) s . 240 , D ) s . 480 , E ) s . 489", "input": "", "output": "", "answer": "C" }, { "instruction": "what will be the compound interest on rs . 25000 a \u014d er 3 years at the rate of 12 % per annum The options: A ) rs 10123.20 , B ) rs 10123.30 , C ) rs 10123.40 , D ) rs 10123.50 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a batsman scores 26 runs and increases his average from 14 to 15 . find the runs to be made if he wants top increasing the average to 19 in the same match ? The options: A ) 12 , B ) 18 , C ) 25 , D ) 74 , E ) 88", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b can do a piece of work in 30 days and 30 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ? The options: A ) 30 DAys , B ) 35 DAys , C ) 40 DAys , D ) 45 DAys , E ) 50 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "a total of 520 players participated in a single tennis knock out tournament . what is the total number of matches played in the tournament ? ( knockout means if a player loses , he is out of the tournament ) . no match ends in a tie . The options: A ) 511 , B ) 519 , C ) 256 , D ) 255 , E ) 1023", "input": "", "output": "", "answer": "B" }, { "instruction": "solving a linear equation with several occurrences of the variable , solve for w . simplify answer as much as possible . ( 7 w + 6 ) / 6 + ( 9 w + 8 ) / 2 = 22 The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "given f ( x ) = 3 x \u2013 5 , for what value of x does 2 * [ f ( x ) ] \u2013 7 = f ( 3 x \u2013 6 ) The options: A ) 0 , B ) 2 , C ) 6 , D ) 7 , E ) 13", "input": "", "output": "", "answer": "B" }, { "instruction": "two good train each 750 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one . The options: A ) 12 sEC , B ) 24 sEC , C ) 48 sEC , D ) 72 sEC , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4800 sq cm . what is the ratio of the width and the area of the rectangle ? The options: ['A ) 1 : 72', 'B ) 1 : 76', 'C ) 1 : 80', 'D ) 1 : 84', 'E ) 1 : 88']", "input": "", "output": "", "answer": "C" }, { "instruction": "a work which could be finished in 7 days was finished 3 days earlier after 10 more men joined . the number of men employed was ? The options: A ) 22 , B ) 20 , C ) 60 , D ) 71 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "if ( 6 ) ( x ^ 2 ) has 3 different prime factors , at most how many different prime factors does x have ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "an item is being sold for $ 10 each . however , if a customer will \u201c buy at least 3 \u201d they have a promo discount of 30 % . also , if a customer will \u201c buy at least 10 \u201d items they will deduct an additional 8 % to their \u201c buy at least 3 \u201d promo price . if sam buys 10 pcs of that item how much should he pay ? The options: A ) $ 92.00 , B ) $ 88.00 , C ) $ 87.04 , D ) $ 80.96 , E ) $ 65.00", "input": "", "output": "", "answer": "E" }, { "instruction": "a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 190 kilometers ? The options: A ) 3.5 gAllons , B ) 9.5 gAllons , C ) 8.7 gAllons , D ) 4.5 gAllons , E ) 9.2 gAllons", "input": "", "output": "", "answer": "B" }, { "instruction": "what will be the compound interest on a sum of rs . 35,000 after 3 years at the rate of 12 % p . a . ? The options: A ) s : 10123.19 , B ) s : 14172.48 , C ) s : 10123.20 , D ) s : 10123.28 , E ) s : 10123.12", "input": "", "output": "", "answer": "B" }, { "instruction": "from below option 48 is divisible by which one ? The options: A ) A ) 3 , B ) B ) 5 , C ) C ) 9 , D ) D ) 7 , E ) E ) 11", "input": "", "output": "", "answer": "A" }, { "instruction": "the list price of an article is rs . 66 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? The options: A ) 3.45 % , B ) 4.45 % , C ) 5.45 % , D ) 6.45 % , E ) 7.45 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a trader marked the selling price of an article at 60 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of : The options: A ) 10 % , B ) 10.5 % , C ) 6.8 % , D ) 12.5 % , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "a number when divided by 243 gives a remainder 26 , what remainder will be obtained by dividing the same number 14 ? The options: A ) 7 , B ) 6 , C ) 9 , D ) 2 , E ) 3", "input": "", "output": "", "answer": "E" }, { "instruction": "a person saved $ 10 in buying an item on sale . if he spent $ 200 for the item , approximately how much percent he saved in the transaction ? The options: A ) 8 % , B ) 10 % , C ) 2 % , D ) 5 % , E ) 6 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the average age of 36 students in a group is 14 years . when teacher ' s age is included to it , the average increases by one . find out the teacher ' s age in years ? The options: A ) 50 , B ) 49 , C ) 53 , D ) 54 , E ) 51", "input": "", "output": "", "answer": "E" }, { "instruction": "the amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5 . if they worked a combined total of 128 hours , how many hours did the secretary who worked the longest spend on the project ? The options: A ) 90 , B ) 70 , C ) 56 , D ) 16 , E ) 14", "input": "", "output": "", "answer": "A" }, { "instruction": "a is 1.5 times as fast as b . a alone can do the work in 20 days . if a and b working together , in how many days will the work be completed ? The options: A ) 23 , B ) 22 , C ) 12 , D ) 24 , E ) 25", "input": "", "output": "", "answer": "C" }, { "instruction": "if a speaks the truth 65 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time The options: A ) 0.39 , B ) 0.48 , C ) 0.41 , D ) 0.482 , E ) 0.411", "input": "", "output": "", "answer": "A" }, { "instruction": "a not - so - good clockmaker has four clocks on display in the window . clock # 1 loses 35 minutes every hour . clock # 2 gains 15 minutes every hour relative to clock # 1 ( i . e . , as clock # 1 moves from 12 : 00 to 1 : 00 , clock # 2 moves from 12 : 00 to 1 : 15 ) . clock # 3 loses 20 minutes every hour relative to clock # 2 . finally , clock # 4 gains 20 minutes every hour relative to clock # 3 . if the clockmaker resets all four clocks to the correct time at 12 noon , what time will clock # 4 display after 6 actual hours ( when it is actually 6 : 00 pm that same day ) ? The options: A ) 5 : 00 , B ) 5 : 34 , C ) 5 : 42 , D ) 6 : 00 , E ) 6 : 24", "input": "", "output": "", "answer": "E" }, { "instruction": "if a = 1 , what is the value of \u2013 ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 ) ? The options: A ) - 14 , B ) - 4 , C ) 0 , D ) 4 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 30 % ? The options: A ) 20 % , B ) 29 % , C ) 70 % , D ) 27 % , E ) 5 %", "input": "", "output": "", "answer": "E" }, { "instruction": "an astronomer noted that a grouping of red giant stars had an average solar mass of 8 m each , and a grouping of white dwarf stars had an average solar mass of 1.5 m each . if the astronomer calculated the total solar mass of both groupings to be 49 m , what total number of red giant stars and white dwarf stars did the astronomer note ? The options: A ) 10 , B ) 11 , C ) 12 , D ) 13 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "village a \u2019 s population is 300 greater than village b ' s population . if village b \u2019 s population were reduced by 600 people , then village a \u2019 s population would be 4 times as large as village b ' s population . what is village b ' s current population ? The options: A ) 900 , B ) 1000 , C ) 1100 , D ) 1200 , E ) 1300", "input": "", "output": "", "answer": "A" }, { "instruction": "the cost of 2 chairs and 3 tables is rs . 1500 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ? The options: A ) 228 , B ) 287 , C ) 277 , D ) 188 , E ) 300", "input": "", "output": "", "answer": "E" }, { "instruction": "a sum amounts to rs . 4851 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ? The options: A ) s . 4000 , B ) s . 5000 , C ) s . 4400 , D ) s . 4800 , E ) s . 5800", "input": "", "output": "", "answer": "C" }, { "instruction": "the average monthly salary of 10 employees in an organisation is rs . 1600 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? The options: A ) rs . 3601 , B ) rs . 3618 , C ) rs . 2700 , D ) rs . 3619 , E ) rs . 3610", "input": "", "output": "", "answer": "C" }, { "instruction": "if a lends rs . 1200 to b at 10 % per annum and b lends the same sum to c at 18 % per annum then the gain of b in a period of 2 years is ? The options: A ) 190 , B ) 188 , C ) 192 , D ) 145 , E ) 188", "input": "", "output": "", "answer": "C" }, { "instruction": "if an integer n is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 6 ? The options: A ) 2 / 3 , B ) 3 / 8 , C ) 1 / 2 , D ) 5 / 8 , E ) 3 / 4", "input": "", "output": "", "answer": "A" }, { "instruction": "how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 5 ? The options: A ) 6 , B ) 7 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "E" }, { "instruction": "6 students wrote science exam . their average marks are 70 . 5 students got 65 , 75 , 55 , 72 and 69 marks respectively . therefore what is the marks of the sixth student ? The options: A ) 84 , B ) 68 , C ) 85 , D ) 75 , E ) 42", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 54 kmph and 90 kmph . in how much time will the trains cross each other ? The options: A ) 10 sEC , B ) 11 sEC , C ) 12 sEC , D ) 60 / 7 sEC , E ) 90 / 7 sEC", "input": "", "output": "", "answer": "A" }, { "instruction": "a bowl was filled with 10 ounces of water , and 0.010 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ? The options: A ) 0.004 % , B ) 0.04 % , C ) 0.40 % , D ) 5 % , E ) 40 %", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the prime factors \u2019 number of 28 ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "the sum of 7 th and 23 rd term of a . p . is equal to the sum of 8 th , 15 th and 13 th term . find the term which is 0 The options: A ) 6 , B ) 8 , C ) 10 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "A" }, { "instruction": "the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 30 more than the number who did not , and if receipts for registration and lunch totaled $ 75,360 , how many people paid just for registration at the meeting ? The options: A ) 700 , B ) 800 , C ) 600 , D ) 1,500 , E ) 1,800", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the perimeter of a rectangular field whose diagonal is 5 m and length is 4 m ? The options: A ) 20 m , B ) 15 m , C ) 14 m , D ) 10 m , E ) 25 m", "input": "", "output": "", "answer": "C" }, { "instruction": "the least number which must be subtracted from 709 to make it exactly divisible by 9 is : The options: A ) A ) 2 , B ) B ) 3 , C ) C ) 7 , D ) D ) 5 , E ) E ) 6", "input": "", "output": "", "answer": "C" }, { "instruction": "let c be defined as the sum of all prime numbers between 0 and 35 . what is c / 3 The options: A ) 155 , B ) 129 , C ) 64.3 , D ) 47 , E ) 43", "input": "", "output": "", "answer": "C" }, { "instruction": "the speed of a boat in still water in 22 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is : The options: A ) 10.6 , B ) 10.2 , C ) 10.8 , D ) 10.4 , E ) 10.0", "input": "", "output": "", "answer": "C" }, { "instruction": "a boat having a length 3 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : The options: A ) 100 kg , B ) 120 kg , C ) 89 kg , D ) 90 kg , E ) 110 kg", "input": "", "output": "", "answer": "D" }, { "instruction": "by selling 12 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ? The options: A ) 8 , B ) 76 , C ) 17 , D ) 7 , E ) 77", "input": "", "output": "", "answer": "A" }, { "instruction": "due to construction , the speed limit along an 10 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? The options: A ) 6.24 , B ) 8 , C ) 10 , D ) 15 , E ) 24", "input": "", "output": "", "answer": "A" }, { "instruction": "walking with 4 / 5 of my usual speed , i miss the bus by 7 minutes . what is my usual time ? The options: A ) 16 min , B ) 26 min , C ) 28 min , D ) 20 min , E ) 12 min", "input": "", "output": "", "answer": "C" }, { "instruction": "if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 150 then sum is The options: A ) s . 15000 , B ) s . 15100 , C ) s . 15800 , D ) s . 16000 , E ) s . 16200", "input": "", "output": "", "answer": "A" }, { "instruction": "in one hour , a boat goes 8 km along the stream and 2 km against the stream . the sped of the boat in still water ( in km / hr ) is : The options: A ) 3 , B ) 5 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "B" }, { "instruction": "coconuts were purchased at 150 per 100 and sold at 2 per coconut . if 2000 coconuts were sold , what was the total profit made ? The options: A ) 500 , B ) 1000 , C ) 1500 , D ) 2000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the factorial of 5 ? The options: A ) 1 , B ) 60 , C ) 120 , D ) 130 , E ) 180", "input": "", "output": "", "answer": "C" }, { "instruction": "when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in e hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of e ? The options: A ) 3 / 4 , B ) 1 [ 1 / 5 ] , C ) 1 [ 2 / 5 ] , D ) 1 [ 3 / 4 ] , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "a train is 435 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length The options: A ) 20 sEConDs , B ) 30 sEConDs , C ) 46 sEConDs , D ) 50 sEConDs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "if the l . c . m of two numbers is 450 and their product is 22500 , find the h . c . f of the numbers . The options: A ) 50 , B ) 30 , C ) 125 , D ) 25 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "the area of a parallelogram is 72 cm ^ 2 and its altitude is twice the corresponding base . what is the length of the base ? The options: ['A ) 1 Cm', 'B ) 3 Cm', 'C ) 6 Cm', 'D ) 4 Cm', 'E ) 2 Cm']", "input": "", "output": "", "answer": "C" }, { "instruction": "martin buys a pencil and a notebook for 80 cents . at the same store , gloria buys a notebook and an eraser for $ 1.15 cents , and zachary buys a pencil and an eraser for 75 cents . how many cents would it cost to buy 3 pencils , 3 notebooks , and 3 erasers ? ( assume that there is no volume discount . ) The options: A ) 325 , B ) 345 , C ) 365 , D ) 385 , E ) 405", "input": "", "output": "", "answer": "E" }, { "instruction": "when 200 is divided by positive integer x , the remainder is 3 . what is the remainder when 297 is divided by x ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "B" }, { "instruction": "if a fast song has 160 beats per minute , and a slow song has 90 beats per minute , how many minutes total would you play a fast and a slow song to have a stream of music that had a total of 1020 beats ? The options: A ) 6 , B ) 7 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "D" }, { "instruction": "in a party every person shakes hands with every other person . if there were a total of 190 handshakes in the party then what is the number of persons present in the party ? The options: A ) 15 , B ) 16 , C ) 17 , D ) 18 , E ) 20", "input": "", "output": "", "answer": "E" }, { "instruction": "a cube of edge 7 cm is cut into cubes each of edge 1 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to : The options: A ) 1 : 25 , B ) 1 : 49 , C ) 1 : 52 , D ) 1 : 522 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 30 years . what is deepak present age ? The options: A ) 18 , B ) 15 , C ) 77 , D ) 266 , E ) 182", "input": "", "output": "", "answer": "A" }, { "instruction": "a , b and c rents a pasture for rs . 480 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? The options: A ) 270 , B ) 199 , C ) 676 , D ) 149 , E ) 122", "input": "", "output": "", "answer": "D" }, { "instruction": "what is remainder of the division ( 1525 * 1527 * 1529 ) / 12 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "D" }, { "instruction": "a pharmaceutical company received $ 5 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? The options: A ) 8 % , B ) 15 % , C ) 45 % , D ) 52 % , E ) 67 %", "input": "", "output": "", "answer": "E" }, { "instruction": "in the first 10 overs of a cricket game , the run rate was only 5.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ? The options: A ) 6.25 , B ) 6.5 , C ) 6.75 , D ) 5.75 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "of the diplomats attending a summit conference , 30 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? The options: A ) 20 , B ) 96 , C ) 108 , D ) 120 , E ) 150", "input": "", "output": "", "answer": "A" }, { "instruction": "during the second quarter of 1984 , a total of 3 , 976000 domestic cars were sold . if this was 32 % greater than the number sold during the first quarter of 1984 , how many were sold during the first quarter ? The options: A ) 714,240 , B ) 2 , 261,760 , C ) 2 , 400,000 , D ) 3 , 012,121 , E ) 3 , 915,790", "input": "", "output": "", "answer": "D" }, { "instruction": "if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers is : The options: A ) 2 : 3 , B ) 3 : 4 , C ) 2 : 5 , D ) 20 : 3 , E ) 30 : 7", "input": "", "output": "", "answer": "C" }, { "instruction": "a man covered a certain distance at some speed . had he moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . the distance ( in km ) is The options: A ) 27 , B ) 87 , C ) 40 , D ) 18 , E ) 17", "input": "", "output": "", "answer": "C" }, { "instruction": "if the average of w , b , c , 14 and 15 is 12 . what is the average value of w , b , c and 29 The options: A ) 12 , B ) 13 , C ) 14 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "D" }, { "instruction": "set a of 8 positive integers may have the same element and have 40 . and set b of 8 positive integers must have different elements and have 40 . when m and n are the greatest possible differences between 40 and other elements \u2019 sums in set a and set b , respectively , m - n = ? The options: A ) 21 , B ) 29 , C ) 23 , D ) 25 , E ) 26", "input": "", "output": "", "answer": "A" }, { "instruction": "after 6 games , team b had an average of 65 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? The options: A ) 85 , B ) 74 , C ) 67 , D ) 63 , E ) 28", "input": "", "output": "", "answer": "D" }, { "instruction": "on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 16 more transactions than cal . how much transactions did jade handled ? The options: A ) 80 , B ) 81 , C ) 82 , D ) 83 , E ) 84", "input": "", "output": "", "answer": "C" }, { "instruction": "a man buys an article for $ 100 . and sells it for $ 125 . find the gain percent ? The options: A ) 10 % , B ) 15 % , C ) 25 % , D ) 20 % , E ) 30 %", "input": "", "output": "", "answer": "C" }, { "instruction": "what is 35 % of 4 / 13 of 780 ? The options: A ) 62 , B ) 73 , C ) 84 , D ) 95 , E ) 106", "input": "", "output": "", "answer": "C" }, { "instruction": "two pipes can fill a tank in 20 minutes and 12 minutes . an outlet pipe can empty the tank in 10 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ? The options: A ) 24 , B ) 26 , C ) 28 , D ) 30 , E ) 32", "input": "", "output": "", "answer": "D" }, { "instruction": "the radius of a wheel is 20 cm . what is the distance covered by the wheel in making 500 resolutions ? The options: A ) 708 m , B ) 704 m , C ) 314.3 m , D ) 714 m , E ) 744 m", "input": "", "output": "", "answer": "C" }, { "instruction": "list a consists of 12 consecutive integers . if - 4 is the least integer in list a , what is the range of positive integers in list a ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 2 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ? The options: A ) 18 , B ) 144 , C ) 175 , D ) 216 , E ) 250", "input": "", "output": "", "answer": "D" }, { "instruction": "convert 100 miles into inches ? The options: A ) 6336000 , B ) 6542000 , C ) 5462300 , D ) 6213000 , E ) 6120330", "input": "", "output": "", "answer": "A" }, { "instruction": "how many digits will be there to the right of the decimal point in the product of 95.75 and . 02554 ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "E" }, { "instruction": "if an integer n is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 4 ? The options: A ) 1 / 4 , B ) 3 / 8 , C ) 1 / 2 , D ) 5 / 8 , E ) 3 / 4", "input": "", "output": "", "answer": "E" }, { "instruction": "in township k each property is taxed at 12 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ? The options: A ) $ 32 , B ) $ 50 , C ) $ 320 , D ) $ 400 , E ) $ 480", "input": "", "output": "", "answer": "E" }, { "instruction": "when y is divided by 288 , the remainder is 44 . what is the remainder when the same y is divided by 24 ? The options: A ) 20 , B ) 21 , C ) 23 , D ) 25 , E ) 26", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? The options: A ) 42 , B ) 70 , C ) 140 , D ) 165 , E ) 225", "input": "", "output": "", "answer": "E" }, { "instruction": "the cross - section of a cannel is a trapezium in shape . if the cannel is 14 m wide at the top and 4 m wide at the bottom and the area of cross - section is 380 sq m , the depth of cannel is ? The options: A ) 39 , B ) 28 , C ) 27 , D ) 42 , E ) 71", "input": "", "output": "", "answer": "D" }, { "instruction": "after decreasing 24 % in the price of an article costs rs . 1140 . find the actual cost of an article ? The options: A ) 1500 , B ) 6789 , C ) 1200 , D ) 6151 , E ) 1421", "input": "", "output": "", "answer": "A" }, { "instruction": "in a class of 60 students , 20 did not opt for math . 15 did not opt for science and 5 did not opt for either . how many students of the class opted for both math and science ? The options: A ) 23 , B ) 25 , C ) 27 , D ) 30 , E ) 48", "input": "", "output": "", "answer": "D" }, { "instruction": "a jeep takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ? The options: A ) 48 kmph , B ) 52 kmph , C ) 6 o kmph , D ) 63 kmph , E ) 65 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "a room 5 m 44 cm long and 3 m 74 cm broad needs to be paved with square tiles . what will be the least number of square tiles required to cover the floor ? The options: A ) 176 , B ) 124 , C ) 224 , D ) 186 , E ) 190", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of 2 numbers is 2 : 3 and their h . c . f . is 10 . their l . c . m . is ? The options: A ) 30 , B ) 60 , C ) 20 , D ) 10 , E ) 40", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the remainder when 1250 * 1090 * 1045 * 1055 is divided by 18 ? The options: A ) 34 , B ) 19 , C ) 16 , D ) 14 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "the least number , which when divided by 12 , 15 , 20 and 54 leaves in each case a remainder of 8 , is : The options: A ) 504 , B ) 536 , C ) 544 , D ) 548 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "if 7 a - 3 b = 10 b + 50 = - 12 b - 2 a , what is the value of 9 a + 9 b ? The options: A ) - 9 , B ) - 6 , C ) 0 , D ) 6 , E ) 9", "input": "", "output": "", "answer": "C" }, { "instruction": "suppose 10 monkeys take 20 minutes to eat 10 bananas . how many monkeys would it take to eat 80 bananas in 80 minutes ? The options: A ) 9 , B ) 10 , C ) 11 , D ) 20 , E ) 13", "input": "", "output": "", "answer": "D" }, { "instruction": "if x + | x | + y = 4 and x + | y | - y = 6 what is x + y = ? The options: A ) 11 , B ) - 1 , C ) 3 , D ) 5 , E ) 13", "input": "", "output": "", "answer": "A" }, { "instruction": "if 3 x + y = 40 , 2 x - y = 20 , for integers of x and y , 4 y ^ 2 = ? The options: A ) 2 , B ) 4 , C ) 0 , D ) 10 , E ) 64", "input": "", "output": "", "answer": "E" }, { "instruction": "jonathan can type a 30 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ? The options: A ) 5 minutEs , B ) 10 minutEs , C ) 15 minutEs , D ) 18 minutEs , E ) 20 minutEs", "input": "", "output": "", "answer": "B" }, { "instruction": "the measure of the side of a square is multiplied by 7 . if x represents the perimeter of the original square , what is the value of the new perimeter ? The options: A ) 3 x , B ) 4 x , C ) 7 x , D ) 12 x , E ) 27 x", "input": "", "output": "", "answer": "C" }, { "instruction": "a box contains 10 tablets of medicine a and 17 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted . The options: A ) 12 , B ) 15 , C ) 17 , D ) 19 , E ) 21", "input": "", "output": "", "answer": "D" }, { "instruction": "the milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) The options: A ) 100 , B ) 250 , C ) 750 , D ) 5625 , E ) 5635", "input": "", "output": "", "answer": "D" }, { "instruction": "from a group of 4 boys and 4 girls , 2 children are to be randomly selected . what is the probability that 1 boy and 1 girl will be selected ? The options: A ) 1 / 2 , B ) 2 / 3 , C ) 3 / 5 , D ) 4 / 7 , E ) 5 / 9", "input": "", "output": "", "answer": "D" }, { "instruction": "rhonda picked 2 pen from the table , if there were 7 pens on the table and 5 belongs to jill , what is the probability that the 2 pen she picked does not belong to jill ? . The options: A ) 5 / 42 , B ) 2 / 42 , C ) 7 / 42 , D ) 2 / 7 , E ) 5 / 7", "input": "", "output": "", "answer": "B" }, { "instruction": "a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent w of the cost would the gross profit on the item have been if it had been sold without the discount ? The options: A ) 20 % , B ) 40 % , C ) 50 % , D ) 60 % , E ) 75 %", "input": "", "output": "", "answer": "C" }, { "instruction": "country x taxes each of its citizens an amount equal to 13 percent of the first $ 40,000 of income , plus 20 percent of all income in excess of $ 40,000 . if a citizen of country x is taxed a total of $ 8,000 , what is her income ? The options: A ) $ 54,000 , B ) $ 56,000 , C ) $ 64,000 , D ) $ 66,667 , E ) $ 80,000", "input": "", "output": "", "answer": "A" }, { "instruction": "a number when divided by 4 , gives 40 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 3 The options: A ) A ) 1 , B ) B ) 3 , C ) C ) 4 , D ) D ) 6 , E ) E ) 7", "input": "", "output": "", "answer": "A" }, { "instruction": "the surface of a cube is 294 sq cm . find its volume ? The options: A ) 8 CC , B ) 9 CC , C ) 2 CC , D ) 343 CC , E ) 6 CC", "input": "", "output": "", "answer": "D" }, { "instruction": "of 30 applicants for a job , 16 had at least 4 years ' experience , 21 had degrees , and 5 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? The options: A ) 12 , B ) 10 , C ) 9 , D ) 7 , E ) 5", "input": "", "output": "", "answer": "A" }, { "instruction": "the average marks of 20 students in a class is 100 . but a student mark is wrongly noted as 50 instead of 10 then find the correct average marks ? The options: A ) 78 , B ) 82 , C ) 98 , D ) 91 , E ) 85", "input": "", "output": "", "answer": "C" }, { "instruction": "a parking garage rents parking spaces for $ 10 per week or $ 20 per month . how much does a person save in a year by renting by the month rather than by the week ? The options: A ) $ 140 , B ) $ 160 , C ) $ 220 , D ) $ 240 , E ) $ 280", "input": "", "output": "", "answer": "E" }, { "instruction": "jerry travels 8 miles at an average speed of 40 miles per hour , stops for 14 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry \u2019 s average speed , in miles per hour , for this trip ? The options: A ) 36 , B ) 42.5 , C ) 44 , D ) 50 , E ) 52.5", "input": "", "output": "", "answer": "A" }, { "instruction": "the total surface area of a cuboid length 12 m , breadth 10 m and height 8 m . The options: ['A ) 576', 'B ) 566', 'C ) 596', 'D ) 556', 'E ) 586']", "input": "", "output": "", "answer": "C" }, { "instruction": "the average salary per head of the entire staff of an office including the officers and clerks is rs . 90 . the average salary of officers is rs . 500 and that of the clerks is rs . 84 . if the number of officers is 2 , find the number of officers in the office ? The options: A ) 620 , B ) 720 , C ) 820 , D ) 920 , E ) 1020", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the least integer greater than \u2013 4 + 0.5 ? The options: A ) \u2013 3 , B ) \u2013 1 , C ) 0 , D ) 1 , E ) 2", "input": "", "output": "", "answer": "A" }, { "instruction": "if \u00e2 \u20ac \u0153 * \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 + \u00e2 \u20ac \u009d , \u00e2 \u20ac \u0153 / \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 * \u00e2 \u20ac \u009d , \u00e2 \u20ac \u0153 - \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 / \u00e2 \u20ac \u009d , \u00e2 \u20ac \u0153 + \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 - \u00e2 \u20ac \u009d . 240 / 80 \u00e2 \u20ac \u201c 60 * 40 - 10 = ? The options: A ) 355 , B ) 341 , C ) 323.2 , D ) 425.6 , E ) 225.7", "input": "", "output": "", "answer": "C" }, { "instruction": "60 boys can complete a work in 24 days . how many men need to complete twice the work in 20 days The options: A ) 144 , B ) 170 , C ) 180 , D ) 190 , E ) 200", "input": "", "output": "", "answer": "A" }, { "instruction": "jill has 21 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? The options: A ) 3 , B ) 6 , C ) 9 , D ) 36 , E ) 14", "input": "", "output": "", "answer": "D" }, { "instruction": "jacob is 12 years old . he is 3 times as old as his brother . how old will jacob be when he is twice as old ? The options: A ) 13 , B ) 14 , C ) 15 , D ) 16 , E ) 17", "input": "", "output": "", "answer": "D" }, { "instruction": "if two integers x , y ( x > y ) are selected from - 10 to 1 ( inclusive ) , how many possible cases are there ? The options: A ) 150 , B ) 66 , C ) 190 , D ) 210 , E ) 240", "input": "", "output": "", "answer": "B" }, { "instruction": "a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 20 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? The options: A ) rs . 800 , B ) rs . 1500 , C ) rs . 1000 , D ) rs . 1200 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "what least value must be given to * so that the number 451 * 603 is exactly divisible by 9 ? The options: A ) 2 , B ) 5 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "E" }, { "instruction": "24 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ? The options: A ) 10 , B ) 6 , C ) 4 , D ) 7 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "in a company of 170 employees , 110 are females . a total of 80 employees have advanced degrees and the rest have a college degree only . if 25 employees are males with college degree only , how many employees are females with advanced degrees ? The options: A ) 40 , B ) 45 , C ) 50 , D ) 55 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "at a particular graduation party with 300 guests , 70 % of the guests brought gifts , and 40 % of the female guests brought gifts . if 36 males did not bring gifts to the party , how many females did bring gifts ? The options: A ) 18 , B ) 36 , C ) 42 , D ) 68 , E ) 70", "input": "", "output": "", "answer": "B" }, { "instruction": "if 8 a = 9 b and ab \u2260 0 , what is the ratio of a / 9 to b / 8 ? The options: A ) 64 / 81 , B ) 8 / 9 , C ) 1 , D ) 9 / 8 , E ) 81 / 64", "input": "", "output": "", "answer": "C" }, { "instruction": "in a theater , the first row has 17 seats and each row has 3 more seats than previous row . if the last row has 44 seats , what is the total number of seats in the theater ? The options: A ) 265 , B ) 275 , C ) 285 , D ) 295 , E ) 305", "input": "", "output": "", "answer": "E" }, { "instruction": "the list price of an article is rs . 69 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? The options: A ) 9.33 % , B ) 9.44 % , C ) 9.45 % , D ) 9.56 % , E ) 9.67 %", "input": "", "output": "", "answer": "D" }, { "instruction": "how many seconds will a 200 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ? The options: A ) 26 sEC , B ) 30 sEC , C ) 12 sEC , D ) 19 sEC , E ) 12 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "the radius of a cone is 4 m , height 5 m . find the curved surface area ? The options: A ) 1 , B ) 3 , C ) 5 , D ) 7 , E ) 9", "input": "", "output": "", "answer": "C" }, { "instruction": "a constructor estimates that 8 people can paint mr khans house in 3 days . if he uses 4 people instead of 8 , how long will they take to complete the job ? The options: A ) 6 , B ) 8 , C ) 3 , D ) 4 , E ) 0", "input": "", "output": "", "answer": "A" }, { "instruction": "the radius of a semi circle is 70 cm then its perimeter is ? The options: A ) 32.8 , B ) 32.4 , C ) 360 , D ) 32.2 , E ) 32.9", "input": "", "output": "", "answer": "C" }, { "instruction": "a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.3 m and its walls are 5 cm thick . the thickness of the bottom is : The options: A ) 90 Cm , B ) 3 Dm , C ) 1 m , D ) 1.1 Cm , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "operation # is defined as adding a randomly selected two digit multiple of 12 to a randomly selected two digit prime number and reducing the result by half . if operation # is repeated 10 times , what is the probability that it will yield at least two integers ? The options: A ) 0 % , B ) 10 % , C ) 20 % , D ) 30 % , E ) 40 %", "input": "", "output": "", "answer": "A" }, { "instruction": "running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 6 w widgets . The options: A ) 4 , B ) 36 , C ) 8 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "the cost price of a radio is rs . 1500 and it was sold for rs . 1230 , find the loss % ? The options: A ) 18 % , B ) 19 % , C ) 68 % , D ) 19 % , E ) 38 %", "input": "", "output": "", "answer": "A" }, { "instruction": "among the two clocks , clock a gains 20 seconds per minute . if clock a and b are set at 2 0 ' clock , when clock a is at 7 : 20 , what does clock b show ? The options: A ) 5 : 30 , B ) 6 : 00 , C ) 5 : 45 , D ) 6 : 20 , E ) 3 : 30", "input": "", "output": "", "answer": "B" }, { "instruction": "the sale price sarees listed for rs . 500 after successive discount is 10 % and 5 % is ? The options: A ) 427.5 , B ) 277 , C ) 342 , D ) 882 , E ) 212", "input": "", "output": "", "answer": "A" }, { "instruction": "the number of timeshare condos available at sunset beach is 2 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 350 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ? The options: A ) 60 , B ) 90 , C ) 120 , D ) 150 , E ) 240", "input": "", "output": "", "answer": "D" }, { "instruction": "a can do a piece of work in 8 days and b alone can do it in 12 days . how much time will both take to finish the work ? The options: A ) A ) 4.8 , B ) B ) 6.333 , C ) C ) 7.333 , D ) D ) 8.5 , E ) E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "the measurement of a rectangular box with lid is 25 cmx 6 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of \u03c0 cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) The options: ['A ) 288', 'B ) 48', 'C ) 36', 'D ) 864', 'E ) 964']", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ? The options: A ) 30 sEC , B ) 198 sEC , C ) 178 sEC , D ) 665 sEC , E ) 276 sEC", "input": "", "output": "", "answer": "A" }, { "instruction": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 50 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h , what is the distance traveled by brad ? The options: A ) 16 , B ) 18 , C ) 20 , D ) 24 , E ) 30", "input": "", "output": "", "answer": "E" }, { "instruction": "two trains of length 150 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ? The options: A ) 22 sEC , B ) 77 sEC , C ) 76 sEC , D ) 21.5 sEC , E ) 66 sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "source : knewton a cyclist ' s speed varies , depending on the terrain , between 6.0 miles per hour and 14.0 miles per hour , inclusive . what is the maximum distance , in miles , that the cyclist could travel in 5 hours ? The options: A ) 42 , B ) 56 , C ) 70 , D ) 98 , E ) 140", "input": "", "output": "", "answer": "C" }, { "instruction": "elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.40 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ? The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "B" }, { "instruction": "the length of a rectangle is two - seventh of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 5929 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 25 units ? The options: ['A ) 660 sq . units', 'B ) 440 sq . units', 'C ) 770 sq . units', 'D ) 550 sq . units', 'E ) 220 sq . units']", "input": "", "output": "", "answer": "D" }, { "instruction": "if 20 men take 15 days to to complete a job , in how many days can 25 men finish that work ? The options: A ) 12 , B ) 66 , C ) 77 , D ) 8 , E ) 6", "input": "", "output": "", "answer": "A" }, { "instruction": "carl is facing very difficult financial times and can only pay the interest on a $ 30,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ? The options: A ) $ 1200 , B ) $ 2000 , C ) $ 2150 , D ) $ 6000 , E ) $ 12000", "input": "", "output": "", "answer": "D" }, { "instruction": "on a certain transatlantic crossing , 20 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ? The options: A ) 30 % , B ) 40 % , C ) 50 % , D ) 60 % , E ) 65 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 7 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ? The options: A ) 20 km , B ) 35 km , C ) 40 km , D ) 50 km , E ) 60 km", "input": "", "output": "", "answer": "B" }, { "instruction": "if p represents the product of the first 18 positive integers , then p is not a multiple of The options: A ) 99 , B ) 84 , C ) 72 , D ) 65 , E ) 95", "input": "", "output": "", "answer": "E" }, { "instruction": "the fuel indicator in a car shows 1 / 5 th of the fuel tank as full . when 22 more liters of fuel are poured in to the tank , the indicator rests at the 3 / 4 of the full mark . find the capacity of the tank . The options: A ) 25 litrEs , B ) 35 litrEs , C ) 30 litrEs , D ) 40 litrEs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 450 kilograms of pears that day , how many kilograms did he sell in the afternoon ? The options: A ) 120 , B ) 180 , C ) 300 , D ) 280 , E ) 320", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b together can complete work in 10 days . a alone starts working and leaves it after working for 6 days completing only half of the work . in how many days it can be completed if the remaining job is undertaken by b ? The options: A ) 4 , B ) 8 , C ) 5 , D ) 6 , E ) 30", "input": "", "output": "", "answer": "E" }, { "instruction": "set a consists of the integers from 4 to 16 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? The options: A ) 5 , B ) 7 , C ) 8 , D ) 9 , E ) 11", "input": "", "output": "", "answer": "E" }, { "instruction": "find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 30 as remainder The options: A ) 1235 , B ) 1456 , C ) 1567 , D ) 1632 , E ) 1635", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of the ages of 5 children born at the intervals of 3 years each is 50 years . what is the age of the youngest child ? The options: A ) 4 yEArs , B ) 8 yEArs , C ) 10 yEArs , D ) 12 yEArs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "paul sells encyclopedias door - to - door . he earns $ 150 on every paycheck , regardless of how many sets he sells . in addition , he earns commission as follows : commission sales 10 % $ 0.00 - $ 10 , 000.00 5 % $ 10 , 000.01 - - - > he does not earn double commission . that is , if his sales are $ 12,000 , he earns 10 % on the first $ 10,000 and 5 % on the remaining $ 2,000 . his largest paycheck of the year was $ 1,320 . what were his sales for that pay period ? The options: A ) 13,400 , B ) 14,800 , C ) 16,400 , D ) 15,800 , E ) 19,600", "input": "", "output": "", "answer": "A" }, { "instruction": "a rectangle with width 8 and diagonal 30 . find the area ? The options: ['A ) 240 squArE units', 'B ) 180 squArE units', 'C ) 100 squArE units', 'D ) 150 squArE units', 'E ) 160 squArE units']", "input": "", "output": "", "answer": "A" }, { "instruction": "train a leaves the station traveling at 30 miles per hour . two hours later train \u0432 leaves the same station traveling in the same direction at 35 miles per hour . how many miles from the station was train a overtaken by train b ? The options: A ) 420 , B ) 450 , C ) 480 , D ) 510 , E ) 540", "input": "", "output": "", "answer": "A" }, { "instruction": "a box contains 25 electric bulbs , out of which 4 are defective . two bulbs are chosen at random from this box . the probability that at least one of these is defective is The options: A ) 3 / 10 , B ) 7 / 19 , C ) 12 / 19 , D ) 21 / 95 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "how many prime numbers are between 28 / 3 and 86 / 6 ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "in a school of 800 students , 44 % wear blue shirts , 28 % wear red shirts , 10 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ? The options: A ) 120 , B ) 132 , C ) 144 , D ) 156 , E ) 168", "input": "", "output": "", "answer": "C" }, { "instruction": "a man whose speed is 6 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? The options: A ) 7 , B ) 5.6 , C ) 6 , D ) 9 , E ) 3", "input": "", "output": "", "answer": "B" }, { "instruction": "in what ratio must rice of rs . 25 per kg be mixed with rice of rs . 12 per kg so that cost of mixture is rs . 20 per kg ? The options: A ) 8 : 5 , B ) 5 : 8 , C ) 20 : 25 , D ) 12 : 20 , E ) 25 : 12", "input": "", "output": "", "answer": "A" }, { "instruction": "10 men and 15 women together can complete a work in 4 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ? The options: A ) 100 DAys , B ) 667 DAys , C ) 177 DAys , D ) 187 DAys , E ) 225 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 4 other contributions made before john ' s , what is the size of his donation ? The options: A ) $ 100 , B ) $ 175 , C ) $ 200 , D ) $ 250 , E ) $ 450", "input": "", "output": "", "answer": "B" }, { "instruction": "if 0.5 : x : : 5 : 8 , then x is equal to : The options: A ) A ) 1.12 , B ) B ) 1.2 , C ) C ) 1.25 , D ) D ) 0.9 , E ) E ) 0.8", "input": "", "output": "", "answer": "E" }, { "instruction": "the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what is the weight of the new person ? The options: A ) 75 kg , B ) 85 kg , C ) 95 kg , D ) 65 kg , E ) 55 kg", "input": "", "output": "", "answer": "C" }, { "instruction": "the radius of a wheel is 12.6 cm . what is the distance covered by the wheel in making 200 resolutions ? The options: A ) 158.210 m , B ) 704 m , C ) 153.256 m , D ) 158.256 m , E ) 204 m", "input": "", "output": "", "answer": "D" }, { "instruction": "simplify : 250 x 250 - 100 x 100 The options: A ) 761200 , B ) 761400 , C ) 52500 , D ) 761500 , E ) nonE oF thEm", "input": "", "output": "", "answer": "C" }, { "instruction": "on my sister ' s birthday , she was 143 cm in height , having grown 10 % since the year before . how tall was she the previous year ? The options: A ) 140 Cm , B ) 136 Cm , C ) 130 Cm , D ) 127 Cm , E ) 125 Cm", "input": "", "output": "", "answer": "C" }, { "instruction": "if the selling price of 50 articles is equal to the cost price of 35 articles , then the loss or gain percent is : The options: A ) 45 % , B ) 23 % , C ) 30 % , D ) 60 % , E ) 56 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of each side of an equilateral triangle having an area of 4 \u00e2 \u02c6 \u0161 3 cm 2 is ? The options: ['A ) 4 / 3 Cm', 'B ) 3 / 4 Cm', 'C ) 3 Cm', 'D ) 4 Cm', 'E ) 5 Cm']", "input": "", "output": "", "answer": "D" }, { "instruction": "if the sides of a rectangle are increased by 25 % , what is the percentage increase in the area ? The options: A ) 54.25 % , B ) 56.25 $ , C ) 53.25 % , D ) 55.25 % , E ) 58.25 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the charge for a single room at hotel p is 30 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ? The options: A ) 28 % , B ) 20 % , C ) 40 % , D ) 50 % , E ) 150 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a trader marked the selling price of an article at 11 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of : The options: A ) 10 % , B ) 10.5 % , C ) 9.9 % , D ) 12.5 % , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "bottle r contains 250 capsules and costs $ 5.25 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? The options: A ) $ 0.25 , B ) $ 0.12 , C ) $ 0.05 , D ) $ 0.03 , E ) $ 0.002", "input": "", "output": "", "answer": "E" }, { "instruction": "sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 162 . if the ratio of his marks in english and maths is 4 : 5 , find his marks in science ? The options: A ) 10.9 , B ) 20.9 , C ) 30.9 , D ) 35 , E ) 45", "input": "", "output": "", "answer": "B" }, { "instruction": "solve the equation for x : 21 ( x + y ) + 5 = 21 ( - x + y ) + 47 The options: A ) - 2 , B ) - 1 , C ) 0 , D ) 2 , E ) 1", "input": "", "output": "", "answer": "E" }, { "instruction": "area of four walls of a room is 99 m 2 . the length and breadth of the room are 7.5 m and 3.5 m respectively . the height of the room is : The options: ['A ) 2.5 m', 'B ) 3.5 m', 'C ) 1.5 m', 'D ) 4.5 m', 'E ) 5.5 m']", "input": "", "output": "", "answer": "D" }, { "instruction": "x is a positive integer less than 300 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? The options: A ) 21 , B ) 22 , C ) 23 , D ) 24 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "how many different ways can 2 students be seated in a row of 4 desks , so that there is always at least one empty desk between the students ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 6 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "if each side of a square is increased by 25 % , find the percentage change in its area ? The options: A ) 56.29 % , B ) 56.25 % , C ) 56.95 % , D ) 53.25 % , E ) 36.25 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 720 grams per kg , what is his percent ? The options: A ) 15 % , B ) 25 % , C ) 38.9 % , D ) 45 % , E ) 35 %", "input": "", "output": "", "answer": "C" }, { "instruction": "if the mean of numbers 28 , x , 42 , 78 , 82 and 104 is 62 , then what is the mean of 128 , 255 , 511 , 1023 and x ? The options: A ) 395 , B ) 275 , C ) 391 , D ) 415 , E ) 365", "input": "", "output": "", "answer": "C" }, { "instruction": "machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 80 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 20 minutes ? The options: A ) 60 , B ) 80 , C ) 70 , D ) 40 , E ) 50", "input": "", "output": "", "answer": "E" }, { "instruction": "if x and y are integers such that | y + 3 | \u2264 3 and 2 y \u2013 3 x + 6 = 0 , what is the least possible value t of the product xy ? The options: A ) - 12 , B ) - 3 , C ) 0 , D ) 2 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 66 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ? The options: A ) 16 % , B ) 32 % , C ) 83 % , D ) 84 % , E ) 92 %", "input": "", "output": "", "answer": "C" }, { "instruction": "in a class of 54 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? The options: A ) 30 , B ) 10 , C ) 18 , D ) 28 , E ) 32", "input": "", "output": "", "answer": "E" }, { "instruction": "usc invited each south carolina high school to send up to 39 students to watch a football game . a section which has 199 seats in each row is reserved for those students . what is the least number of rows needed to guarantee that if 2006 students show up , then all students from the same high school can be seated in the same row ? The options: A ) 11 , B ) 12 , C ) 13 , D ) 14 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 3 inches wide on each side , the total area would have been ( m + 64 ) square inches . what is the perimeter of the photograph , in inches ? The options: ['A ) 16', 'B ) 24', 'C ) 32', 'D ) 40', 'E ) 48']", "input": "", "output": "", "answer": "A" }, { "instruction": "a \u201c palindromic integer \u201d is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 300,000 ? The options: A ) 200 , B ) 216 , C ) 300 , D ) 400 , E ) 2,500", "input": "", "output": "", "answer": "C" }, { "instruction": "the unit digit in the product 4556 * 3432 * 4581 * 2784 is ? The options: A ) 8 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.996 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? The options: A ) 0 , B ) 1 , C ) 0 , D ) 54 , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "C" }, { "instruction": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 276 metres long in 20 seconds . the length of the train ( in metres ) is : The options: A ) 184 , B ) 176 , C ) 175 , D ) 96 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "to be considered for \u201c movie of the year , \u201d a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy \u2019 s 760 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for \u201c movie of the year \u201d ? The options: A ) 191 , B ) 190 , C ) 193 , D ) 212 , E ) 213", "input": "", "output": "", "answer": "B" }, { "instruction": "each child has 4 crayons and 14 apples . if there are 9 children , how many crayons are there in total ? The options: A ) 22 , B ) 65 , C ) 12 , D ) 36 , E ) 10", "input": "", "output": "", "answer": "D" }, { "instruction": "a man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes . if the ratio between the length and breadth of the park be 3 : 2 , then its area is : The options: ['A ) 1536 m 2', 'B ) 15360 m 2', 'C ) 153600 m 2', 'D ) 163600 m 2', 'E ) nonE oF thEsE']", "input": "", "output": "", "answer": "C" }, { "instruction": "find the value of m 12519 x 9999 = m ? The options: A ) 125177481 , B ) 353654655 , C ) 545463251 , D ) 725117481 , E ) 477899932", "input": "", "output": "", "answer": "A" }, { "instruction": "a is twice as good a workman as b and they took 9 days together to do the work b alone can do it in . The options: A ) 17 DAys , B ) 12 DAys , C ) 29 DAys , D ) 25 DAys , E ) 27 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "find the value of ( 875 233 / 899 ) \u00d7 899 The options: A ) 786845 , B ) 786857 , C ) 786858 , D ) 786859 , E ) 786860", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 2.00 , what total number of pens and pencils did the customer purchase ? The options: A ) 6 , B ) 9 , C ) 10 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "the length of the bridge , which a train 130 metres long and travelling at 108 km / hr can cross in 30 seconds , is : The options: A ) 200 m , B ) 225 m , C ) 245 m , D ) 170 m , E ) 240 m", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the smallest number which , when increased by 9 , is divisible by 7 , 8 , and 24 ? The options: A ) 143 , B ) 150 , C ) 159 , D ) 168 , E ) 177", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the sum of all the prime numbers greater than 50 but less than 70 ? The options: A ) 249 , B ) 248 , C ) 246 , D ) 240 , E ) 241", "input": "", "output": "", "answer": "D" }, { "instruction": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 150 is required to paint the floor at the rate of rs . 2 per sq m , then what would be the length of the floor ? The options: A ) 65 , B ) 15 , C ) 18 , D ) 16 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "a car traveled from san diego to san francisco at an average speed of 66 miles per hour . if the journey back took twice as long , what was the average speed of the trip ? The options: A ) 24 . , B ) 32 . , C ) 36 . , D ) 42 . , E ) 44 .", "input": "", "output": "", "answer": "E" }, { "instruction": "a cube of side 5.5 meter length is cut into small cubes of side 110 cm each . how many such small cubes can be obtained ? The options: A ) 125 , B ) 127 , C ) 152 , D ) 140 , E ) 190", "input": "", "output": "", "answer": "A" }, { "instruction": "rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 2 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? The options: A ) $ 430 , B ) $ 620 , C ) $ 650 , D ) $ 680 , E ) $ 770", "input": "", "output": "", "answer": "B" }, { "instruction": "some persons can do a piece of work in 32 days . two times the number of these people will do half of that work in ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the units digit of 33 ^ 2 * 17 ^ 3 * 39 ^ 2 ? The options: A ) 1 , B ) 3 , C ) 5 , D ) 7 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ? The options: A ) 120 , B ) 150 , C ) 180 , D ) 210 , E ) 240", "input": "", "output": "", "answer": "C" }, { "instruction": "an error 3 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ? The options: A ) 9.09 % , B ) 4.02 % , C ) 4 % , D ) 3 % , E ) 2 %", "input": "", "output": "", "answer": "A" }, { "instruction": "uncle bruce is baking chocolate chip cookies . he has 40 ounces of dough ( with no chocolate ) and 20 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 25 % chocolate ? The options: A ) 8.5 , B ) 9.5 , C ) 10.5 , D ) 6.7 , E ) 6.5", "input": "", "output": "", "answer": "D" }, { "instruction": "two pipes a and b can separately fill a tank in 10 and 15 minutes respectively . a third pipe c can drain off 20 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ? The options: A ) 150 litErs , B ) 540 litErs , C ) 200 litErs , D ) 560 litErs , E ) 580 litErs", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b started a business investing rs . 90,000 and rs 25,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ? The options: A ) 9 : 2 , B ) 3 : 2 , C ) 18 : 20 , D ) 18 : 5 , E ) 17 : 4", "input": "", "output": "", "answer": "D" }, { "instruction": "we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 4 % . the total investment with interest at the end of the year was $ 1 , 036.70 . how much money did we invest at 3 % ? The options: A ) $ 300 , B ) $ 330 , C ) $ 360 , D ) $ 390 , E ) $ 420", "input": "", "output": "", "answer": "B" }, { "instruction": "how many positive integers less than 400 can be formed using the numbers 1 , 2 , 3 and 5 for the digits ? The options: A ) 48 , B ) 52 , C ) 66 , D ) 84 , E ) 68", "input": "", "output": "", "answer": "E" }, { "instruction": "forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is : The options: A ) 8 , B ) 4 , C ) 12 , D ) 16 , E ) 14", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the smallest positive integer x such that 450 x is the cube of a positive integer ? The options: A ) 2 , B ) 15 , C ) 30 , D ) 60 , E ) 120", "input": "", "output": "", "answer": "C" }, { "instruction": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6000 , the number of valid votes that the other candidate got , was : The options: A ) 2800 , B ) 2700 , C ) 2160 , D ) 2200 , E ) 2300", "input": "", "output": "", "answer": "C" }, { "instruction": "10 : 4 seconds : : ? : 6 minutes The options: A ) 10 , B ) 15 , C ) 20 , D ) 25 , E ) 30", "input": "", "output": "", "answer": "B" }, { "instruction": "a train passes a platform in 36 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is The options: A ) 240 , B ) 250 , C ) 260 , D ) 230 , E ) 220", "input": "", "output": "", "answer": "A" }, { "instruction": "rs . 6000 is lent out in two parts . one part is lent at 2 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 450 . find the ratio of the amounts lent at the lower rate and higher rate of interest ? The options: A ) 5 : 11 , B ) 5 : 6 , C ) 5 : 2 , D ) 5 : 8 , E ) 5 : 2", "input": "", "output": "", "answer": "A" }, { "instruction": "if two dice are thrown together , the probability of getting a doublet on the dice is The options: A ) 1 / 6 , B ) 1 / 5 , C ) 1 / 4 , D ) 1 / 3 , E ) 1 / 2", "input": "", "output": "", "answer": "A" }, { "instruction": "how many different positive integers are factors of 64 ? The options: A ) 10 , B ) 12 , C ) 14 , D ) 16 , E ) 18", "input": "", "output": "", "answer": "D" }, { "instruction": "the ratio of the volumes of two cubes is 343 : 512 . what is the ratio of their total surface areas ? The options: A ) 12 : 24 , B ) 8 : 16 , C ) 45 : 25 , D ) 18 : 56 , E ) 49 : 64", "input": "", "output": "", "answer": "E" }, { "instruction": "a 6 % stock yields 9 % . the market value of the stock is : The options: A ) rs 66.55 , B ) rs 68.55 , C ) rs 69.55 , D ) rs 65.55 , E ) rs 66.66", "input": "", "output": "", "answer": "E" }, { "instruction": "jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 25 / 36 , what is the probability that the next one she draws will be pink ? The options: A ) 1 / 6 , B ) 4 / 7 , C ) 3 / 7 , D ) 16 / 49 , E ) 40 / 49", "input": "", "output": "", "answer": "A" }, { "instruction": "if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 253 games will be played during the tournament . what is the number of participants ? The options: A ) 21 , B ) 22 , C ) 23 , D ) 24 , E ) 25", "input": "", "output": "", "answer": "C" }, { "instruction": "it takes 10 days for digging a trench of 100 m long , 50 m broad and 10 m deep . what length of trench , 25 m broad and 15 m deep can be dug in 30 days ? The options: A ) 400 m , B ) 200 m , C ) 100 m , D ) 89 m , E ) 79 m", "input": "", "output": "", "answer": "A" }, { "instruction": "if 20 men can build a water fountain 56 metres long in 3 days , what length of a similar water fountain can be built by 35 men in 3 days ? The options: A ) 40 m , B ) 64 m , C ) 77 m , D ) 89 m , E ) 98 m", "input": "", "output": "", "answer": "E" }, { "instruction": "p has $ 63 more than what q and r together would have had if both b and c had 1 / 9 of what p has . how much does p have ? The options: A ) $ 69 , B ) $ 72 , C ) $ 75 , D ) $ 78 , E ) $ 81", "input": "", "output": "", "answer": "E" }, { "instruction": "a train running at the speed of 110 km / hr crosses a pole in 9 sec . what is the length of the train ? The options: A ) 298 m , B ) 275 m , C ) 208 m , D ) 988 m , E ) 299 m", "input": "", "output": "", "answer": "B" }, { "instruction": "if 2 ^ y = 4 ^ ( 5 x + 3 ) and 3 ^ ( x - 7 ) = 9 ^ y , what is the value of x + y ? The options: A ) - 10 , B ) - 5 , C ) - 4 , D ) 3 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? The options: A ) 28 sEC , B ) 16 sEC , C ) 38 sEC , D ) 18 sEC , E ) 17 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? The options: A ) 10 , B ) 15 , C ) 20 , D ) 25 , E ) 30", "input": "", "output": "", "answer": "C" }, { "instruction": "if the price of a certain computer increased 30 percent from a dollars to 351 dollars , then 2 a = The options: A ) 540 , B ) 570 , C ) 619 , D ) 649 , E ) 700", "input": "", "output": "", "answer": "A" }, { "instruction": "in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability w this college graduate has a graduate degree ? The options: A ) 1 / 11 , B ) 1 / 12 , C ) 1 / 13 , D ) 3 / 19 , E ) 3 / 43", "input": "", "output": "", "answer": "D" }, { "instruction": "what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 25 % ? The options: A ) 20 % , B ) 26 % , C ) 42 % , D ) 27 % , E ) 12.5 %", "input": "", "output": "", "answer": "E" }, { "instruction": "how many 5 - digit numbers are there , if the two leftmost digits are even , the other digits are odd and the digit 2 can not appear more than once in the number . The options: A ) 2200 , B ) 2295 , C ) 2375 , D ) 2380 , E ) 2385", "input": "", "output": "", "answer": "C" }, { "instruction": "a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours i total will it take the crow to finish a quarter of the nuts ? The options: A ) 6 , B ) 8 , C ) 10 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "A" }, { "instruction": "alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1081 . find the cost of each ice - cream cup ? The options: A ) 25 , B ) 66 , C ) 77 , D ) 99 , E ) 45", "input": "", "output": "", "answer": "E" }, { "instruction": "selling an kite for rs . 30 , a shop keeper gains 40 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ? The options: A ) 8 % , B ) 10 % , C ) 11 % , D ) 15 % , E ) 26 %", "input": "", "output": "", "answer": "E" }, { "instruction": "how many factors of 30 are odd numbers greater than 1 ? The options: A ) 3 , B ) 3 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 75 . if the restaurant serves 120 customers today , raising the average to 80 customers per day , what is the value of x ? The options: A ) 2 , B ) 5 , C ) 7 , D ) 8 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "dividing by 3 \u2044 6 and then multiplying by 5 \u2044 6 is the same as dividing by what number ? The options: A ) 31 \u2044 5 , B ) 16 \u2044 5 , C ) 20 \u2044 9 , D ) 9 \u2044 20 , E ) 5 \u2044 3", "input": "", "output": "", "answer": "E" }, { "instruction": "an inspector rejects 15 % of the meters as defective . how many will he examine to reject 15 ? The options: A ) A ) 100 , B ) B ) 120 , C ) C ) 250 , D ) D ) 200 , E ) E ) 160", "input": "", "output": "", "answer": "A" }, { "instruction": "pipe a fills a tank of capacity 700 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ? The options: A ) 42 minutEs , B ) 14 minutEs , C ) 39 minutEs , D ) 40 minutEs 20 sEConDs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "the area of a parallelogram is 72 sq m and its altitude is twice the corresponding base . then the length of the base is ? The options: A ) 6 , B ) 16 , C ) 8 , D ) 36 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "a man can row upstream at 10 kmph and downstream at 20 kmph , and then find the speed of the man in still water ? The options: A ) 11 , B ) 77 , C ) 25 , D ) 88 , E ) 34", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b can finish a work together in 12 days , and b and c together in 16 days . if a alone works for 5 days and then b alone continues for 7 days , then remaining work is done by c in 13 days . in how many days can c alone finish the complete work ? The options: A ) 22 DAys , B ) 21 DAys , C ) 25 DAys , D ) 24 DAys , E ) 23 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively The options: A ) 30 , 10 , B ) 2010 , C ) 3515 , D ) 5117 , E ) 20,17", "input": "", "output": "", "answer": "A" }, { "instruction": "the price of stock increased by 8 % last year and decreased by 6 % this year . what is the net percentage change in the price of the stock ? The options: A ) 0.2 % , B ) 0.8 % , C ) 1.2 % , D ) 1.52 % , E ) 2 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the mass of 1 cubic meter of a substance is 400 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) The options: A ) 1.5 , B ) 2.5 , C ) 3.5 , D ) 4.5 , E ) 5.5", "input": "", "output": "", "answer": "B" }, { "instruction": "for what value of \u00e2 \u20ac \u0153 k \u00e2 \u20ac \u009d will the equation ( 2 kx 2 + 5 kx + 1 ) = 0 have equal roots ? The options: A ) 2 / 7 , B ) 9 / 4 , C ) 8 / 25 , D ) 7 / 1 , E ) 7 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "in a class of 25 students , 2 students did not borrow any books from the library , 10 students each borrowed 1 book , 8 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ? The options: A ) 8 , B ) 10 , C ) 12 , D ) 13 , E ) 15", "input": "", "output": "", "answer": "C" }, { "instruction": "a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 24 cm . what is the length of the wire ? The options: A ) 6 Cm , B ) 4 Cm , C ) 8 Cm , D ) 3 Cm , E ) 9 Cm", "input": "", "output": "", "answer": "B" }, { "instruction": "boys and girls in a class are writing letters . there are twice as many girls as boys in the class , and each girl writes 3 more letters than each boy . if boys write 24 of the 90 total letters written by the class , how many letters does each boy write ? The options: A ) 3 , B ) 4 , C ) 6 , D ) 8 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in meters ) is : The options: A ) 600 , B ) 750 , C ) 1000 , D ) 1250 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ? The options: A ) 2 , B ) 5 , C ) 6 , D ) 8 , E ) 10", "input": "", "output": "", "answer": "A" }, { "instruction": "mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8010 / - . find out the amount that he borrowed . The options: A ) s . 5266 , B ) s . 5269 , C ) s . 5228 , D ) s . 5201 , E ) s . 52192", "input": "", "output": "", "answer": "D" }, { "instruction": "in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 6500 , the number of valid votes that the other candidate got , was : The options: A ) 2800 , B ) 2700 , C ) 2900 , D ) 2340 , E ) 2300", "input": "", "output": "", "answer": "D" }, { "instruction": "if 9 ! / 3 ^ x is an integer , what is the greatest possible value of x ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "if 21 ! / 3 ^ x is an integer , what is the greatest possible value of x ? The options: A ) 3 , B ) 4 , C ) 5 , D ) D , E ) 7", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ? The options: A ) 35 , B ) 37 , C ) 46 , D ) 48 , E ) 50", "input": "", "output": "", "answer": "C" }, { "instruction": "23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , ( . . . ) The options: A ) 53 , B ) 67 , C ) 48 , D ) 59 , E ) 45", "input": "", "output": "", "answer": "B" }, { "instruction": "if x / ( 9 p ) is an even prime number , where x is a positive integer and p is a prime number , what is the least value of x ? The options: A ) 22 , B ) 33 , C ) 44 , D ) 66 , E ) 99", "input": "", "output": "", "answer": "C" }, { "instruction": "after decreasing 25 % in the price of an article costs rs . 1500 . find the actual cost of an article ? The options: A ) 1400 , B ) 1300 , C ) 1200 , D ) 2000 , E ) 1500", "input": "", "output": "", "answer": "D" }, { "instruction": "if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ? The options: A ) 480 Cm 2 , B ) 765 Cm 2 , C ) 216 Cm 2 , D ) 197 Cm 2 , E ) 275 Cm 2", "input": "", "output": "", "answer": "A" }, { "instruction": "5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 3443 , how much was it in the beginning ? The options: A ) 4264 , B ) 2776 , C ) 4400 , D ) 2871 , E ) 881", "input": "", "output": "", "answer": "A" }, { "instruction": "adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 4 years . if he pays a total interest of 11900 at the end of 9 years , how much money did he borrow ? The options: A ) 10,526 , B ) 12,526 , C ) 14,000 , D ) 16,000 , E ) 16,536", "input": "", "output": "", "answer": "B" }, { "instruction": "8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 6 men , 4 women and 10 children together complete the piece of work ? The options: A ) 5 DAys , B ) 15 DAys , C ) 28 DAys , D ) 8 DAys , E ) 7 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "if henry were to add 6 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? The options: A ) 25 , B ) 48 , C ) 64 , D ) 80 , E ) 96", "input": "", "output": "", "answer": "B" }, { "instruction": "in what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way ? The options: A ) 3 sEC , B ) 4 sEC , C ) 5 sEC , D ) 6 sEC , E ) 7 sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "there are 400 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ? The options: A ) 50 , B ) 100 , C ) 150 , D ) 200 , E ) 250", "input": "", "output": "", "answer": "D" }, { "instruction": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 97 % water by weight . what is the new weight of the cucumbers , in pounds ? The options: A ) 2 , B ) 33 , C ) 92 , D ) 96 , E ) 98", "input": "", "output": "", "answer": "B" }, { "instruction": "the two trains of lengths 400 m , 600 m respectively , running at same directions . the faster train can cross the slower train in 180 sec , the speed of the slower train is 48 km . then find the speed of the faster train ? The options: A ) 76 kmph , B ) 68 kmph , C ) 87 kmph , D ) 56 kmph , E ) 10 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "a light flashes every 5 seconds , how many times will it flash in ? of an hour ? The options: A ) 720 , B ) 600 , C ) 650 , D ) 700 , E ) 750", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the units digit of 3333 ^ ( 333 ) * 3333 ^ ( 222 ) ? The options: A ) 0 , B ) 2 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "a 6 litre sol is 40 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ? The options: A ) A . 0.6 , B ) B . 1.2 , C ) C . 2.1 , D ) D . 3 , E ) E . 5.4", "input": "", "output": "", "answer": "B" }, { "instruction": "in how many ways can the integer 54 be expressed as a product of two different positive integers ? The options: A ) 10 , B ) 8 , C ) 5 , D ) 4 , E ) 2", "input": "", "output": "", "answer": "D" }, { "instruction": "find the number of different prime factors of 2400 The options: A ) 4 , B ) 2 , C ) 3 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "C" }, { "instruction": "in arun ' s opinion , his weight is greater than 63 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 66 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? The options: A ) 86.5 kg , B ) 64.5 kg , C ) 46.5 kg , D ) 26.5 kg , E ) 16.5 kg", "input": "", "output": "", "answer": "B" }, { "instruction": "a cat leaps 5 leaps for every 4 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? The options: A ) 5 : 6 , B ) 3 : 2 , C ) 4 : 8 , D ) 1 : 2 , E ) 7 : 8", "input": "", "output": "", "answer": "A" }, { "instruction": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 15 % profit ? The options: A ) 2000 , B ) 2778 , C ) 1840 , D ) 2778 , E ) 2771", "input": "", "output": "", "answer": "C" }, { "instruction": "a is an integer greater than 19 but less than 32 , b is an integer greater than 29 but less than 42 , what is the range of a / b ? The options: A ) 1 / 4 , B ) 1 / 2 , C ) 3 / 4 , D ) 1 , E ) 5 / 4", "input": "", "output": "", "answer": "B" }, { "instruction": "rs . 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 % , the yearly annual income may be rs . 125 . how much was lent at 5 % ? The options: A ) 2333 , B ) 2777 , C ) 2688 , D ) 1000 , E ) 2500", "input": "", "output": "", "answer": "E" }, { "instruction": "jerry travels 8 miles at an average speed of 40 miles per hour , stops for 13 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry \u2019 s average speed , in miles per hour , for this trip ? The options: A ) 48 , B ) 42.5 , C ) 44 , D ) 50 , E ) 52.5", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 18 positive perfect squares ? The options: A ) 1,010 , B ) 1,164 , C ) 1,240 , D ) 1,316 , E ) 2,109", "input": "", "output": "", "answer": "E" }, { "instruction": "surface area of two spheres are in the ratio 1 : 4 what is the ratio of their volumes ? The options: ['A ) 1 : 9', 'B ) 1 : 8', 'C ) 1 : 3', 'D ) 1 : 4', 'E ) 1 : 5']", "input": "", "output": "", "answer": "B" }, { "instruction": "if the area of a circle decreases by 30 % , then the radius of a circle decreases by The options: A ) 20 % , B ) 16 % , C ) 36 % , D ) 64 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "two unbiased coins are tossed . what is the probability of getting at most one head ? The options: A ) 2 / 3 , B ) 1 , C ) 3 / 4 , D ) 2 , E ) 1 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 25 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ? The options: A ) 347 , B ) 987 , C ) 1070 , D ) 1371 , E ) 1667", "input": "", "output": "", "answer": "C" }, { "instruction": "in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? The options: A ) 0.9 , B ) 0.7 , C ) 0.45 , D ) 0.3 , E ) 0.25", "input": "", "output": "", "answer": "B" }, { "instruction": "a train 300 m long , running with a speed of 54 km / hr will pass a tree in ? The options: A ) 17 sEC , B ) 16 sEC , C ) 20 sEC , D ) 14 sEC , E ) 12 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? The options: A ) 270 , B ) 279 , C ) 267 , D ) 255 , E ) 552", "input": "", "output": "", "answer": "B" }, { "instruction": "a student got twice as many sums wrong as he got right . if he attempted 27 sums in all , how many did he solve correctly ? The options: A ) 12 , B ) 16 , C ) 18 , D ) 9 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "the compound interest on a sum for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound and simple interest for 3 years will be The options: A ) rs . 48 , B ) rs . 98.56 , C ) rs . 66.56 , D ) rs . 66.58 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "when a merchant imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that the merchant paid was $ 94.50 , what was the total value of the item ? The options: A ) $ 2,350 , B ) $ 2,850 , C ) $ 3,250 , D ) $ 3,400 , E ) $ 3,750", "input": "", "output": "", "answer": "A" }, { "instruction": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8463 for a computer table , then what was the cost price of the computer table ? The options: A ) 6727 , B ) 6825 , C ) 6728 , D ) 6725 , E ) 2871", "input": "", "output": "", "answer": "B" }, { "instruction": "15 beavers , working together in a constant pace , can build a dam in 4 hours . how many hours will it take 20 beavers that work at the same pace , to build the same dam ? The options: A ) 2 . , B ) 4 . , C ) 5 . , D ) 6 , E ) 3 .", "input": "", "output": "", "answer": "E" }, { "instruction": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm The options: A ) 178 Cm 2 , B ) 179 Cm 2 , C ) 266 Cm 2 , D ) 167 Cm 2 , E ) 197 Cm 2", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum q of prime numbers that are greater than 60 but less than 70 is The options: A ) 67 , B ) 128 , C ) 191 , D ) 197 , E ) 260", "input": "", "output": "", "answer": "B" }, { "instruction": "at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 400 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? The options: A ) 1,108 , B ) 3,300 , C ) 2,108 , D ) 2,124 , E ) 2,256", "input": "", "output": "", "answer": "B" }, { "instruction": "if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 990 , what is the least possible value of n ? The options: A ) 10 , B ) 11 , C ) 12 , D ) 13 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "the probability that a man will be alive for 10 more yrs is 1 / 2 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is The options: A ) 1 / 2 , B ) 1 , C ) 1 / 3 , D ) 3 / 4 , E ) 2", "input": "", "output": "", "answer": "C" }, { "instruction": "if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to The options: A ) 22 , B ) 25 , C ) 26 , D ) 28 , E ) 23", "input": "", "output": "", "answer": "A" }, { "instruction": "a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company \u2019 s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? The options: A ) $ 180,000 , B ) $ 202,000 , C ) $ 220,000 , D ) $ 300,000 , E ) $ 2 , 200,000", "input": "", "output": "", "answer": "D" }, { "instruction": "if 25 ^ 5 \u00d7 5 ^ ( - 1 ) = ( 125 ) ^ x , then what is the value of x ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "a lady starts from p towards q and realizes that at a point r , if he walks 50 km further he will be at a point s , which is as far away from r as it is from q . what is the distance between p and q if the distance between p and r is half the distance from r to q ? ( assume that p , q , r and s are all on the same straight line ) The options: A ) 150 km , B ) 200 km , C ) 250 km , D ) 125 km , E ) 155 km", "input": "", "output": "", "answer": "A" }, { "instruction": "how many odd factors does 250 have ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "B" }, { "instruction": "in kaya ' s teacher ' s desk there are 24 pink highlighters , 28 yellow highlighters , and 25 blue highlighters . how many highlighters are there in all ? The options: A ) 11 , B ) 22 , C ) 77 , D ) 33 , E ) 88", "input": "", "output": "", "answer": "C" }, { "instruction": "a train speeds past a pole in 10 seconds and a platform 50 m long in 20 seconds . its length is : The options: A ) 30 m . , B ) 40 m . , C ) 60 m . , D ) 50 m . , E ) 70 m .", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above condition is The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "A" }, { "instruction": "the average age of 50 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? The options: A ) 59 , B ) 55 , C ) 61 , D ) 45 , E ) 36", "input": "", "output": "", "answer": "C" }, { "instruction": "the denominator of a fraction is 6 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 4 \u00e2 \u0081 \u201e 5 . what is the value of the original fraction ? The options: A ) 17 / 23 , B ) 23 / 29 , C ) 29 / 35 , D ) 31 / 37 , E ) 33 / 39", "input": "", "output": "", "answer": "B" }, { "instruction": "consider the sets tn = { n , n + 1 , n + 2 , n + 3 , n + 4 ) , where n = 1 , 2 , 3 , \u2026 , 96 . how many of these sets contain 6 or any integral multiple thereof ( i . e . , any one of the numbers 6 , 12 , 18 , \u2026 ) ? The options: A ) 80 , B ) 81 , C ) 82 , D ) 83 , E ) 84", "input": "", "output": "", "answer": "A" }, { "instruction": "car z travels 55 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ? The options: A ) 320 , B ) 375.2 , C ) 400 , D ) 408.3 , E ) 440", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain farmer pays $ 70 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ( 43,560 square feet = 1 acre ) The options: A ) $ 5,330 , B ) $ 3,360 , C ) $ 1,350 , D ) $ 360 , E ) $ 1050", "input": "", "output": "", "answer": "E" }, { "instruction": "if a square mirror has a 20 - inch diagonal , what is the approximate perimeter t of the mirror , in inches ? The options: A ) 40 , B ) 60 , C ) 80 , D ) 100 , E ) 120", "input": "", "output": "", "answer": "B" }, { "instruction": "a clock shows the time as 9 a . m . if the minute hand gains 6 minutes every hour , how many minutes will the clock gain by 6 p . m . ? The options: A ) 30 min , B ) 35 min , C ) 45 min , D ) 50 min , E ) 54 min", "input": "", "output": "", "answer": "E" }, { "instruction": "20 people went to a hotel for combine dinner party 12 of them spent rs . 70 each on their dinner and rest spent 4 more than the average expenditure of all the 20 . what was the total money spent by them . The options: A ) 1628.4 , B ) 1534 , C ) 1453 , D ) 1496 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "how many integers k greater than 100 and less than 600 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ? The options: A ) 40 , B ) 60 , C ) 70 , D ) 80 , E ) 90", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ? The options: A ) 17 , B ) 14 , C ) 10 , D ) 16 , E ) 20", "input": "", "output": "", "answer": "C" }, { "instruction": "what annual payment will discharge a debt of rs . 1060 due in 2 years at the rate of 5 % compound interest ? The options: A ) 993.2 , B ) 551.25 , C ) 570.07 , D ) 543.33 , E ) 646.33", "input": "", "output": "", "answer": "C" }, { "instruction": "50 % of the population of a village is 23040 . the total population of the village is ? The options: A ) 32256 , B ) 24000 , C ) 44936 , D ) 46080 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "if the perimeter of a rectangular house is 1400 m , its length when its breadth is 300 m is ? The options: A ) 300 , B ) 400 , C ) 500 , D ) 600 , E ) 700", "input": "", "output": "", "answer": "B" }, { "instruction": "the price of an item is discounted 4 percent on day 1 of a sale . on day 2 , the item is discounted another 4 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ? The options: A ) 82.5 % , B ) 89.9 % , C ) 87.7 % , D ) 86.4 % , E ) 83.3 %", "input": "", "output": "", "answer": "D" }, { "instruction": "if a # b = ab \u2013 b + b ^ 2 , then 3 # 4 = The options: A ) 2 , B ) 8 , C ) 15 , D ) 24 , E ) 35", "input": "", "output": "", "answer": "D" }, { "instruction": "what number has a 4 : 1 ratio to the number 100 ? The options: A ) 40 , B ) 200 , C ) 400 , D ) 800 , E ) 4000", "input": "", "output": "", "answer": "C" }, { "instruction": "after 10 % of the inhabitants of a village disappeared , a panic set in during which 25 % of the remaining inhabitants left the village . at that time , the population was reduced to 5535 . what was the number of original inhabitants ? The options: A ) 7900 , B ) 8200 , C ) 8500 , D ) 8800 , E ) 9100", "input": "", "output": "", "answer": "B" }, { "instruction": "is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , then how old is b ? The options: A ) 16 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "A" }, { "instruction": "today joelle opened an interest - bearing savings account and deposited $ 7,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ? The options: A ) $ 7727.50 , B ) $ 7717.50 , C ) $ 7737.50 , D ) $ 7747.50 , E ) $ 7757.50", "input": "", "output": "", "answer": "B" }, { "instruction": "last year the range of the annual bonus of the 100 employees at company x was $ 20000 . if the annual bonus of each of the 100 employees this year is 10 percent greater than it was last year , what is the range of the annual bonus of the 100 employees this year ? The options: A ) $ 27000 , B ) $ 22000 , C ) $ 33000 , D ) $ 16000 , E ) $ 43000", "input": "", "output": "", "answer": "B" }, { "instruction": "the list price of an article is rs . 65 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? The options: A ) 3 % , B ) 4 % , C ) 7 % , D ) 8 % , E ) 9 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ? The options: ['A ) 13', 'B ) 33', 'C ) 56', 'D ) 50', 'E ) 52']", "input": "", "output": "", "answer": "D" }, { "instruction": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 12 seconds , the speed of each train ( in km / hr ) is The options: A ) 30 km / hr , B ) 36 km / hr , C ) 80 km / hr , D ) 90 km / hr , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 21 units ? The options: A ) 8.5 units , B ) 2.6 units , C ) 3 units , D ) 5 units , E ) 12 units", "input": "", "output": "", "answer": "B" }, { "instruction": "if ( 4 - x ) / ( 5 + x ) = x , what is the value of x ^ 2 + 6 x - 4 ? The options: A ) - 3 , B ) 0 , C ) 2 , D ) 4 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1004 in total compensation , how many total hours did he work that week ? The options: A ) 36 , B ) 40 , C ) 44 , D ) 48 , E ) 53", "input": "", "output": "", "answer": "E" }, { "instruction": "you have to send 3000 grapes 1000 kilometers from grapecity to appleland . your truck can carry 1000 grapes at a time . every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction ( towards grapecity ) . what is highest number of grapes you can get to appleland ? The options: A ) 833 , B ) 765 , C ) 665 , D ) 679 , E ) 874", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of all consecutive odd integers from \u2212 19 to 29 , inclusive , is The options: A ) 125 , B ) 135 , C ) 150 , D ) 175 , E ) 235", "input": "", "output": "", "answer": "A" }, { "instruction": "the contents of a certain box consist of 14 apples and 25 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ? The options: A ) 3 , B ) 6 , C ) 14 , D ) 19 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 7 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? The options: A ) 5 : 1 , B ) 10 : 5 , C ) 15 : 2 , D ) 20 : 2 , E ) 35 : 2", "input": "", "output": "", "answer": "E" }, { "instruction": "how many prime numbers are between 13 / 3 and 83 / 6 ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "john makes $ 60 a week from his job . he earns a raise andnow makes $ 80 a week . what is the % increase ? The options: A ) 15 % , B ) 33.33 % , C ) 17.8 % , D ) 19 % , E ) 21 %", "input": "", "output": "", "answer": "B" }, { "instruction": "three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 600 . their h . c . f is ? The options: A ) 10 , B ) 30 , C ) 40 , D ) 50 , E ) 60", "input": "", "output": "", "answer": "A" }, { "instruction": "a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c which is at midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ? The options: A ) 180 km , B ) 127 km , C ) 178 km , D ) 188 km , E ) 111 km", "input": "", "output": "", "answer": "A" }, { "instruction": "in a division sum , the quotient is 18 , the divisor 43 and the remainder 12 , find the dividend ? The options: A ) 586 , B ) 766 , C ) 796 , D ) 786 , E ) 686", "input": "", "output": "", "answer": "D" }, { "instruction": "x and y are both integers . if x / y = 50.60 , then what is the sum of all the possible two digit remainders of x / y ? The options: A ) 315 , B ) 616 , C ) 672 , D ) 900 , E ) 1024", "input": "", "output": "", "answer": "A" }, { "instruction": "the average weight of 10 men is increased by 1 \u00bd kg when one of the men who weighs 60 kg is replaced by a new man . what is the weight of the new man ? The options: A ) 80 kg , B ) 83 kg , C ) 70 kg , D ) 75 kg , E ) 85 kg", "input": "", "output": "", "answer": "D" }, { "instruction": "a shopkeeper sold an article at $ 1050 and gained a 20 % profit . what was the cost price ? The options: A ) $ 835 , B ) $ 845 , C ) $ 855 , D ) $ 865 , E ) $ 875", "input": "", "output": "", "answer": "E" }, { "instruction": "niall ' s income is 60 % less than rex ' s income , and sam ' s income is 25 % less than niall ' s income . if rex gave 60 % of his income to sam and 40 % of his income to niall , niall ' s new income would be what fraction of sam ' s new income ? The options: A ) 8 / 9 , B ) 11 / 12 , C ) 8 / 13 , D ) 11 / 13 , E ) 12 / 13", "input": "", "output": "", "answer": "A" }, { "instruction": "if 2 a = 4 b = 10 , then 40 ab = The options: A ) 50 , B ) 100 , C ) 250 , D ) 450 , E ) 500", "input": "", "output": "", "answer": "E" }, { "instruction": "rahim bought 52 books for rs . 1200 from one shop and 32 books for rs . 480 from another . what is the average price he paid per book ? The options: A ) s . 17 , B ) s . 18 , C ) s . 12 , D ) s . 20 , E ) s . 10", "input": "", "output": "", "answer": "D" }, { "instruction": "a rower whose speed is 4 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? The options: A ) 6 , B ) 4 , C ) 9 , D ) 3 , E ) 2", "input": "", "output": "", "answer": "D" }, { "instruction": "if 2 ^ 5 , 4 ^ 3 , and 13 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ? The options: A ) 26 , B ) 39 , C ) 42 , D ) 208 , E ) 156", "input": "", "output": "", "answer": "D" }, { "instruction": "if 3 < x < 6 < y < 11 , then what is the greatest possible positive integer difference of x and y ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "E" }, { "instruction": "chris age after 20 years will be 5 times his age 5 years back . what is the present age of chris ? The options: A ) A ) 20 , B ) B ) 25 , C ) C ) 15 , D ) D ) 22 , E ) E ) 5", "input": "", "output": "", "answer": "E" }, { "instruction": "if x is an integer and 2.134 \u00d7 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ? The options: A ) 7 , B ) 6 , C ) 5 , D ) 4 , E ) 3", "input": "", "output": "", "answer": "B" }, { "instruction": "the cross - section of a cannel is a trapezium in shape . if the cannel is 15 m wide at the top and 9 m wide at the bottom and the area of cross - section is 636 sq m , the depth of cannel is ? The options: A ) 53 , B ) 28 , C ) 27 , D ) 80 , E ) 25", "input": "", "output": "", "answer": "A" }, { "instruction": "a train passes a station platform in 36 sec and a man standing on the platform in 24 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? The options: A ) 767 m , B ) 240 m , C ) 180 m , D ) 176 m , E ) 186 m", "input": "", "output": "", "answer": "C" }, { "instruction": "the weight of a glass of jar is 30 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ? The options: A ) 1 / 5 , B ) 1 / 3 , C ) 2 / 5 , D ) 1 / 2 , E ) 3 / 7", "input": "", "output": "", "answer": "E" }, { "instruction": "what will be the fraction of 12.5 % The options: A ) 1 / 4 , B ) 1 / 5 , C ) 1 / 10 , D ) 1 / 8 , E ) nonE oF ABovE", "input": "", "output": "", "answer": "D" }, { "instruction": "a number increased by 15 % gives 1150 . the number is The options: A ) 250 , B ) 1000 , C ) 450 , D ) 500 , E ) 520", "input": "", "output": "", "answer": "B" }, { "instruction": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 390 m long platform ? The options: A ) 19 , B ) 27 , C ) 51 , D ) 47 , E ) 28", "input": "", "output": "", "answer": "C" }, { "instruction": "the average of 7 numbers is 23 . if each number be multiplied by 5 . find the average of new set of numbers ? The options: A ) A ) 110 , B ) B ) 122 , C ) C ) 120 , D ) D ) 115 , E ) E ) 145", "input": "", "output": "", "answer": "D" }, { "instruction": "if taxi fares were $ 3.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was The options: A ) $ 6.80 , B ) $ 6.50 , C ) $ 16.80 , D ) $ 6.85 , E ) $ 61.80", "input": "", "output": "", "answer": "A" }, { "instruction": "if 8 men or 12 women can do a piece of work in 35 days , in how many days can the same work be done by 6 men and 11 women ? The options: A ) 10 DAys , B ) 11 DAys , C ) 13 DAys , D ) 15 DAys , E ) 21 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "the total age of a and b is 18 years more than the total age of b and c . c is how many year younger than The options: A ) 14 yEArs , B ) 12 yEArs , C ) 56 yEArs , D ) 66 yEArs , E ) 18 yEArs", "input": "", "output": "", "answer": "E" }, { "instruction": "one pump drains one - half of a pond in 1 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ? The options: A ) 1 hour , B ) 1.2 hour , C ) 3 hours , D ) 5 hours , E ) 6 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "the greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively , is : The options: A ) 16 , B ) 127 , C ) 235 , D ) 305 , E ) 505", "input": "", "output": "", "answer": "A" }, { "instruction": "a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 10 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? The options: A ) 2387 , B ) 1298 , C ) 1128 , D ) 1237 , E ) 1200", "input": "", "output": "", "answer": "E" }, { "instruction": "the length of a rectangle is 2 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ? The options: A ) 30 squArE inChEs , B ) 75 squArE inChEs , C ) 68 squArE inChEs , D ) 89 squArE inChEs , E ) 32 squArE inChEs", "input": "", "output": "", "answer": "E" }, { "instruction": "the ratio between the sale price and the cost price of an article is 7 : 4 . what is the ratio between the profit and the cost price of that article ? The options: A ) 3 : 4 , B ) 1 : 2 , C ) 2 : 5 , D ) 3 : 5 , E ) 25", "input": "", "output": "", "answer": "A" }, { "instruction": "barbata invests $ 2400 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? The options: A ) 1200 , B ) 3000 , C ) 1000 , D ) 3600 , E ) 2400", "input": "", "output": "", "answer": "A" }, { "instruction": "if a speaks the truth 30 % of the times , b speaks the truth 40 % of the times . what is the probability that at least one will tell the truth The options: A ) 0.58 , B ) 0.9 , C ) 1.9 , D ) 2.2 , E ) 2.3", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet ? ( 43,560 square feet = 1 acre ) The options: A ) $ 5,330 , B ) $ 3,360 , C ) $ 1,350 , D ) $ 360 , E ) $ 154.1", "input": "", "output": "", "answer": "E" }, { "instruction": "difference between a two - digit number and the number obtained by interchanging the two digits is 36 , what is the difference between two numbers The options: A ) 2 , B ) 4 , C ) 8 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "the average score of a cricketer in 6 matches is 27 and in other 4 matches is 32 . then find the average score in all the 10 matches ? The options: A ) 25 , B ) 27 , C ) 30 , D ) 29 , E ) 42", "input": "", "output": "", "answer": "D" }, { "instruction": "rs . 900 amounts to rs . 920 in 3 years at simple interest . if the interest is increased by 3 % , it would amount to how much ? The options: A ) rs . 1056 , B ) rs . 1001 , C ) rs . 2056 , D ) rs . 1026 , E ) rs . 1856", "input": "", "output": "", "answer": "B" }, { "instruction": "the average expenditure of a labourer for 10 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is The options: A ) 180 , B ) 100 , C ) 112 , D ) 110 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "C" }, { "instruction": "a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 3 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought . The options: A ) 4 / 9 , B ) 6 / 11 , C ) 8 / 15 , D ) 10 / 21 , E ) 12 / 25", "input": "", "output": "", "answer": "D" }, { "instruction": "a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 136 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ? The options: A ) 24 , B ) 33 , C ) 55 , D ) 77 , E ) 88", "input": "", "output": "", "answer": "A" }, { "instruction": "at a monthly meeting , 1 / 3 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ? The options: A ) 1 / 6 , B ) 2 / 15 , C ) 3 / 20 , D ) 7 / 30 , E ) 8 / 45", "input": "", "output": "", "answer": "E" }, { "instruction": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 30 % . what would have been the percentage of profit earned if no discount was offered ? The options: A ) 140 , B ) 120 , C ) 130 , D ) 136.8 , E ) 150", "input": "", "output": "", "answer": "D" }, { "instruction": "a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 300 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ? The options: A ) 3 , B ) 5 , C ) 7 , D ) 9 , E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "if p is a prime number greater than 3 , find the remainder when p ^ 2 + 14 is divided by 12 . The options: A ) 6 , B ) 1 , C ) 3 , D ) 8 , E ) 7", "input": "", "output": "", "answer": "C" }, { "instruction": "three unbiased coins are tossed . what is the probability of getting 3 heads and 1 tail ? The options: A ) 3 / 4 , B ) 1 / 4 , C ) 3 / 8 , D ) 1 / 2 , E ) 1 / 8", "input": "", "output": "", "answer": "D" }, { "instruction": "find 95 \u00d7 \u00d7 98 The options: A ) 93 / 198 , B ) 93 / 12 , C ) 93 / 13 , D ) 93 / 10 , E ) 93 / 11", "input": "", "output": "", "answer": "D" }, { "instruction": "5 + 5 The options: A ) 9 , B ) 12 , C ) 20 , D ) 10 , E ) 0", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain ball team has an equal number of right - and left - handed players . on a certain day , one - third of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ? The options: A ) 1 / 3 , B ) 5 / 1 , C ) 5 / 7 , D ) 7 / 5 , E ) 3 / 2", "input": "", "output": "", "answer": "B" }, { "instruction": "bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 42 white marbles . how many red marbles could be in bag a ? The options: A ) 1 , B ) 3 , C ) 4 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "a man has some hens and cows . if the number of heads be 42 and the number of feet equals 124 , then the number of hens will be The options: A ) 22 , B ) 24 , C ) 26 , D ) 20 , E ) 28", "input": "", "output": "", "answer": "A" }, { "instruction": "find large number from below question the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder The options: A ) 1235 , B ) 1345 , C ) 1678 , D ) 1767 , E ) 1659", "input": "", "output": "", "answer": "E" }, { "instruction": "the average age of 36 students in a group is 13 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? The options: A ) 35 yEArs , B ) 45 yEArs , C ) 51 yEArs , D ) 54 yEArs , E ) 50 yEArs", "input": "", "output": "", "answer": "E" }, { "instruction": "convert 0.30 in to a vulgar fraction ? The options: A ) 18 / 50 , B ) 16 / 50 , C ) 3 / 10 , D ) 19 / 50 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain galaxy is known to comprise approximately 5 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? The options: A ) 800 , B ) 1,250 , C ) 8,000 , D ) 12,000 , E ) 10,000", "input": "", "output": "", "answer": "E" }, { "instruction": "a room is 30 m long and 24 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is : The options: ['A ) 9.6 m 3', 'B ) 96 m 3', 'C ) 960 m 3', 'D ) 9600 m 3', 'E ) 96000 m 3']", "input": "", "output": "", "answer": "D" }, { "instruction": "if $ 120 invested at a certain rate of simple interest amounts to $ 180 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ? The options: A ) $ 190 , B ) $ 180 , C ) $ 200 , D ) $ 240 , E ) $ 300", "input": "", "output": "", "answer": "E" }, { "instruction": "find the smallest number which should be multiplied with 520 to make it a perfect square The options: A ) 337 , B ) 297 , C ) 266 , D ) 116 , E ) 130", "input": "", "output": "", "answer": "E" }, { "instruction": "the price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980 . if its price of $ 1.20 in 1970 was 150 percent of its price in 1960 , what was its price in 1980 ? The options: A ) $ 1.80 , B ) $ 2.00 , C ) $ 2.40 , D ) $ 2.70 , E ) $ 3.00", "input": "", "output": "", "answer": "A" }, { "instruction": "a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 37 , the how old is b ? The options: A ) 7 , B ) 9 , C ) 8 , D ) 14 , E ) 10", "input": "", "output": "", "answer": "D" }, { "instruction": "if c and t are positive integers , ct + c + t can not be The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately The options: A ) 2972 , B ) 4567 , C ) 4235 , D ) 4547 , E ) 4675", "input": "", "output": "", "answer": "A" }, { "instruction": "a man swims downstream 30 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ? The options: A ) 8 , B ) 7 , C ) 5 , D ) 2 , E ) 4", "input": "", "output": "", "answer": "B" }, { "instruction": "a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 7 x km . The options: A ) 56 , B ) 18 , C ) 24 , D ) 19 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "if the average of 6 digits is 16 and the average of 4 of them is 10 , calculate the average of the remaining 2 numbers ? The options: A ) 36 , B ) 35 , C ) 28 , D ) 33 , E ) 21", "input": "", "output": "", "answer": "C" }, { "instruction": "a company pays 20.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ? The options: A ) 25 , B ) 66 , C ) 18 , D ) 19 , E ) 41", "input": "", "output": "", "answer": "E" }, { "instruction": "how many diagonals does a 59 - sided convex polygon have ? The options: A ) 1168 , B ) 1652 , C ) 2452 , D ) 3304 , E ) 4256", "input": "", "output": "", "answer": "B" }, { "instruction": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 33 % . what would have been the percentage of profit earned if no discount was offered ? The options: A ) 140 , B ) 120 , C ) 130 , D ) 110 , E ) 150", "input": "", "output": "", "answer": "A" }, { "instruction": "calculate how long it will take a swimmer to swim a distance of 10 km against the current of a river which flows at 3 km / hr , given that he can swim in still water at 5 km / h The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "C" }, { "instruction": "a computer store offers employees a 30 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 900 dollars and marked up the price 30 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 30 % off retail price ) as opposed to the final retail price . The options: A ) 352 , B ) 356 , C ) 358 , D ) 362 , E ) 365", "input": "", "output": "", "answer": "A" }, { "instruction": "the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6360 , what is the length of the plot in metres ? The options: A ) 70 , B ) 200 , C ) 300 , D ) 400 , E ) 140", "input": "", "output": "", "answer": "A" }, { "instruction": "each factor of 240 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ? The options: A ) 1 / 16 , B ) 5 / 42 , C ) 1 / 8 , D ) 3 / 16 , E ) 1 / 4", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the least common multiple of 15 , 22 and 24 ? The options: A ) 60 , B ) 120 , C ) 240 , D ) 1320 , E ) 1720", "input": "", "output": "", "answer": "D" }, { "instruction": "a team of 8 persons joins in a shooting competition . the best marksman scored 85 points . if he had scored 92 points , the average score for the team would have been 84 . the number of points , the team scored was : The options: A ) 665 , B ) 376 , C ) 998 , D ) 1277 , E ) 1991", "input": "", "output": "", "answer": "A" }, { "instruction": "two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer . The options: A ) 6 , B ) 9 , C ) 10 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "A" }, { "instruction": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 20 seconds . how long does it tick at 12 \u2032 o clock The options: A ) 47 , B ) 76 , C ) 44 , D ) 66 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "the price of a t . v . set worth rs . 30000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ? The options: A ) 22678 , B ) 26699 , C ) 29000 , D ) 19000 , E ) 26711", "input": "", "output": "", "answer": "C" }, { "instruction": "55 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be : The options: A ) 84 m , B ) 88 m , C ) 120 m , D ) 70 m , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "a metallic sheet is of rectangular shape with dimensions 48 m x 34 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : The options: A ) 4830 , B ) 5120 , C ) 4608 , D ) 7500 , E ) 8960", "input": "", "output": "", "answer": "C" }, { "instruction": "a train speeds past a pole in 15 seconds and a platform 120 meters long in 25 seconds . what is the length of the train ( in meters ) ? The options: A ) 100 m , B ) 140 m , C ) 130 m , D ) 180 m , E ) 170 m", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain fruit stand sold apples for $ 0.70 each and guava for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ? The options: A ) 12 , B ) 13 , C ) 11 , D ) 14 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "if 25 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? The options: A ) 500 , B ) 600 , C ) 620 , D ) 640 , E ) 660", "input": "", "output": "", "answer": "E" }, { "instruction": "find large number from below question the difference of two numbers is 1380 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder The options: A ) 1245 , B ) 1345 , C ) 1455 , D ) 1577 , E ) 1653", "input": "", "output": "", "answer": "E" }, { "instruction": "4 dice are thrown simultaneously on the board . find the probability which show the same face ? The options: A ) 2 / 113 , B ) 3 / 117 , C ) 1 / 216 , D ) 3 / 111 , E ) 4 / 121", "input": "", "output": "", "answer": "C" }, { "instruction": "tough and tricky questions : word problems . operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 8 , when a # b = 100 ? The options: A ) 5 , B ) 8 , C ) 10 , D ) 13 , E ) 17", "input": "", "output": "", "answer": "D" }, { "instruction": "if an integer n is to be chosen at random from the integers 1 to 88 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? The options: A ) 1 / 4 , B ) 3 / 8 , C ) 1 / 2 , D ) 5 / 8 , E ) 33 / 44", "input": "", "output": "", "answer": "E" }, { "instruction": "according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 240 6 ounces servings of orange juice ? The options: A ) A ) 25 , B ) B ) 34 , C ) C ) 50 , D ) D ) 67 , E ) E ) 30", "input": "", "output": "", "answer": "E" }, { "instruction": "mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 38400 , how much amount per month would he have spent on clothes and transport ? The options: A ) 4038 , B ) 8076 , C ) 3200 , D ) 4845.6 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "daniel went to a shop and bought things worth rs . 50 , out of which 90 paise went on sales tax on taxable purchases . if the tax rate was 15 % , then what was the cost of the tax free items ? The options: A ) A ) 19.7 , B ) B ) 20 , C ) C ) 43.1 , D ) D ) 21.5 , E ) E ) 22", "input": "", "output": "", "answer": "C" }, { "instruction": "( 7 + 7 + 7 \u00f7 7 ) / ( 5 + 5 + 5 \u00f7 5 ) = ? The options: A ) 1 , B ) 1 / 5 , C ) 15 / 11 , D ) 3 / 11 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3410 , r will receive The options: A ) 660 , B ) 700 , C ) 800 , D ) 900 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 1 w widgets ? The options: A ) 4 , B ) 6 , C ) 8 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 175 , how many coins of each type are there ? The options: A ) 20 Coins , B ) 30 Coins , C ) 50 Coins , D ) 100 Coins , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5000 . the amount invested by y is The options: A ) rs . 45,000 , B ) rs . 50,000 , C ) rs . 60,000 , D ) rs . 15,000 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "if 9 a - b = 10 b + 70 = - 12 b - 2 a , what is the value of 9 a - 11 b ? The options: A ) - 4 , B ) 70 , C ) 0 , D ) 2 , E ) 4", "input": "", "output": "", "answer": "B" }, { "instruction": "the largest number of six digits The options: A ) 100000 , B ) 222222 , C ) 333333 , D ) 888888 , E ) 999999", "input": "", "output": "", "answer": "E" }, { "instruction": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ? The options: A ) 4 min , B ) 2 min , C ) 8 min , D ) 9 min , E ) 3 min", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the least possible value of x ^ 2 - 15 where x is a positive number . The options: A ) - 15 , B ) - 14 , C ) - 13 , D ) - 12 , E ) - 11", "input": "", "output": "", "answer": "B" }, { "instruction": "little john had $ 16.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ? The options: A ) $ 6.45 , B ) $ 8.35 , C ) $ 8.75 , D ) $ 8.85 , E ) $ 8.45", "input": "", "output": "", "answer": "E" }, { "instruction": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 10 pumps work to empty the tank in 1 day ? The options: A ) 4.8 , B ) 3.6 , C ) 1.1 , D ) 1.2 , E ) 1.3", "input": "", "output": "", "answer": "A" }, { "instruction": "the surface area of a sphere is 4 \u03c0 r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area e of that hemisphere ? The options: ['A ) 6 / \u03c0', 'B ) 9 / \u03c0', 'C ) 6', 'D ) 9', 'E ) 12']", "input": "", "output": "", "answer": "D" }, { "instruction": "5354 x 51 = ? The options: A ) 273054 , B ) 273243 , C ) 273247 , D ) 273250 , E ) 273258", "input": "", "output": "", "answer": "A" }, { "instruction": "if n is a positive integer such that n ! / ( n - 2 ) ! = 342 , find n . The options: A ) 17 , B ) 18 , C ) 19 , D ) 20 , E ) 21", "input": "", "output": "", "answer": "C" }, { "instruction": "a person has 100 $ in 10 $ and 5 $ bill . if the 5 $ bill quantity is twice that of 10 $ bill . what is quantity of 10 $ . The options: A ) 2 , B ) 6 , C ) 7 , D ) 8 , E ) 5", "input": "", "output": "", "answer": "E" }, { "instruction": "for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 5 of whom are females , by how much does the index for the females exceed the index for the males in the group ? The options: A ) 0.05 , B ) 0.0625 , C ) 0.5 , D ) 0.25 , E ) 0.6", "input": "", "output": "", "answer": "C" }, { "instruction": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 12 meters , and the interior of tank b has a height of 12 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ? The options: A ) 80 % , B ) 90 % , C ) 100 % , D ) 110 % , E ) 120 %", "input": "", "output": "", "answer": "E" }, { "instruction": "eric throws 2 dice , and his score is the sum of the values shown . sandra throws one dice and her score is the square of the value shown . what is the probabilty that sandras score will be strictly higher than erics score ? ? The options: ['A ) 137 / 216', 'B ) 137 / 218', 'C ) 137 / 217', 'D ) 136 / 216', 'E ) 138 / 216']", "input": "", "output": "", "answer": "A" }, { "instruction": "if $ 910 are divided between worker a and worker b in the ratio 5 : 9 , what is the share that worker b will get ? The options: A ) 62.27 % , B ) 63.28 % , C ) 64.29 % , D ) 65.31 % , E ) 66.32 %", "input": "", "output": "", "answer": "C" }, { "instruction": "someone on a skateboard is traveling 8 miles per hour . how many feet does she travel in 5 seconds ? ( 1 mile = 5280 feet ) The options: A ) 60 Ft , B ) 52 Ft , C ) 53 Ft , D ) 55 Ft , E ) 58.65 Ft", "input": "", "output": "", "answer": "E" }, { "instruction": "a car traveling at a certain constant speed takes 30 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 30 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? The options: A ) 16 , B ) 18 , C ) 20 , D ) 22 , E ) 24", "input": "", "output": "", "answer": "E" }, { "instruction": "of the families in city x in 1998 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2002 was 20 percent greater than it was in 1998 , and the total number of families in city x was 8 percent greater in 2002 than it was in 1998 . what percent of the families in city x owned a personal computer in 2002 ? The options: A ) 50.12 % , B ) 52.66 % , C ) 56.33 % , D ) 33.33 % , E ) 74.12 %", "input": "", "output": "", "answer": "D" }, { "instruction": "recently , i decided to walk down an escalator of a tube station . i did some quick calculation in my mind . i found that if i walk down 20 ` ` 6 steps , i require thirty seconds to reach the bottom . however , if i am able to step down thirty ` ` 4 stairs , i would only require eighteen seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time i step off the last step at the bottom ? The options: A ) 43 , B ) 44 , C ) 45 , D ) 40 , E ) 46", "input": "", "output": "", "answer": "E" }, { "instruction": "if y > 0 , ( 2 y ) / 20 + ( 3 y ) / 10 is what percent of y ? The options: A ) 40 % , B ) 50 % , C ) 60 % , D ) 70 % , E ) 80 %", "input": "", "output": "", "answer": "A" }, { "instruction": "at a loading dock , each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew . if the night crew has 5 / 6 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ? The options: A ) 6 / 11 , B ) 7 / 12 , C ) 8 / 13 , D ) 9 / 14 , E ) 11 / 15", "input": "", "output": "", "answer": "D" }, { "instruction": "if a train , travelling at a speed of 90 kmph , crosses a pole in 6 sec , then the length of train is ? The options: A ) 281 m , B ) 112 m , C ) 117 m , D ) 125 m , E ) 150 m", "input": "", "output": "", "answer": "E" }, { "instruction": "find the number of different prime factors of 25650 The options: A ) 4 , B ) 2 , C ) 3 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "A" }, { "instruction": "the mean of 50 observations was 36 . it was found later that an observation 58 was wrongly taken as 43 . the corrected new mean is ? The options: A ) 36.7 , B ) 36.1 , C ) 36.5 , D ) 36.9 , E ) 36.3", "input": "", "output": "", "answer": "E" }, { "instruction": "in a school of 450 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ? The options: A ) 72 , B ) 75 , C ) 80 , D ) 81 , E ) 90", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the remainder when 1250 * 1040 * 1057 * 1145 is divided by 32 ? The options: A ) 3 , B ) 5 , C ) 0 , D ) 2 , E ) 9", "input": "", "output": "", "answer": "C" }, { "instruction": "if the selling price of 80 articles is equal to the cost price of 40 articles , then the loss or gain percent is : The options: A ) 30 % , B ) 35 % , C ) 50 % , D ) 55 % , E ) 40 %", "input": "", "output": "", "answer": "C" }, { "instruction": "find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high . The options: ['A ) 878 Cm ^ 2', 'B ) 858 Cm ^ 2', 'C ) 838 Cm ^ 2', 'D ) 868 Cm ^ 2', 'E ) nonE oF thEm']", "input": "", "output": "", "answer": "D" }, { "instruction": "for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 24000 , my total savings for the two - year is The options: A ) s . 8000 , B ) s . 7000 , C ) s . 9900 , D ) s . 9990 , E ) s . 10000", "input": "", "output": "", "answer": "B" }, { "instruction": "3 - twentieths of the members of a social club are retirees who are also bridge players , 5 - twentieths of the members are retirees , and one - half of the members are bridge players . if 120 of the members are neither retirees nor bridge players , what is the total number of members in the social club ? The options: A ) 240 , B ) 300 , C ) 200 , D ) 400 , E ) 480", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of digits of a two digit number is 8 , the difference between the digits is 6 . find the number The options: A ) 85 , B ) 94 , C ) 83 , D ) 71 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "the total marks obtained by a student in mathematics and physics is 80 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together . The options: A ) 40 , B ) 30 , C ) 25 , D ) 50 , E ) nonE oF thEsE .", "input": "", "output": "", "answer": "D" }, { "instruction": "the perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? The options: A ) 38 Cm 2 , B ) 55 Cm 2 , C ) 65 Cm 2 , D ) 45 Cm 2 , E ) 35 Cm 2", "input": "", "output": "", "answer": "B" }, { "instruction": "the principal that amounts to rs . 4903 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ? The options: A ) s . 3096 , B ) s . 4076 , C ) s . 4085 , D ) s . 4096 , E ) s . 5096", "input": "", "output": "", "answer": "B" }, { "instruction": "in a group of 95 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? The options: A ) 9 , B ) 19 , C ) 23 , D ) 45 , E ) 27", "input": "", "output": "", "answer": "E" }, { "instruction": "the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 80 cents more than the commodity y ? The options: A ) 2010 . , B ) 2011 . , C ) 2012 . , D ) 2013 . , E ) 2014 .", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 13 clubs in a full deck of 52 cards . in a certain game , you pick a card from a standard deck of 52 cards . if the card is a club , you win . if the card is not a club , the person replaces the card to the deck , reshuffles , and draws again . the person keeps repeating that process until he picks a club , and the point is to measure how many draws it took before the person picked a club and , thereby , won . what is the probability that one will pick the first club on the forth draw or later ? The options: A ) 1 / 2 , B ) 3 / 4 , C ) 7 / 8 , D ) 27 / 32 , E ) 27 / 64", "input": "", "output": "", "answer": "E" }, { "instruction": "the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 70 , and what number ? The options: A ) 15 , B ) 25 , C ) 35 , D ) 45 , E ) 55", "input": "", "output": "", "answer": "B" }, { "instruction": "alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,200 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? The options: A ) 850 , B ) 1,600 , C ) 1,700 , D ) 2,550 , E ) 3,400", "input": "", "output": "", "answer": "B" }, { "instruction": "if 28 % of a number exceeds 18 % of it by 7.2 , then find the number ? The options: A ) 50 , B ) 34 , C ) 55 , D ) 60 , E ) 90", "input": "", "output": "", "answer": "E" }, { "instruction": "how many factors of 60 are odd numbers greater than 1 ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 3 , E ) 7", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent e of the distribution is less than m + d ? The options: A ) 16 % , B ) 32 % , C ) 48 % , D ) 84 % , E ) 92 %", "input": "", "output": "", "answer": "D" }, { "instruction": "village p \u2019 s population is 1150 greater than village q ' s population . if village q \u2019 s population were reduced by 200 people , then village p \u2019 s population would be 4 times as large as village q ' s population . what is village q ' s current population ? The options: A ) 600 , B ) 625 , C ) 650 , D ) 675 , E ) 700", "input": "", "output": "", "answer": "C" }, { "instruction": "an electric pump can fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ? The options: A ) 10 hours , B ) 13 hours , C ) 17 hours , D ) 21 hours , E ) 25 hours", "input": "", "output": "", "answer": "D" }, { "instruction": "a clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 15 percent of what the collector had paid . the shop then sold the clock again at a profit of 65 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 105 , for how much did the shop sell the clock the second time ? The options: A ) $ 75.44 , B ) $ 88.23 , C ) $ 64.77 , D ) $ 54.32 , E ) $ 43.99", "input": "", "output": "", "answer": "E" }, { "instruction": "the average age of a family of 6 members is 26 years . if the age of the youngest member is 10 years , what was the average age of the family at the birth of the youngest member ? The options: A ) 15 , B ) 18 , C ) 16 , D ) 12 , E ) 19", "input": "", "output": "", "answer": "C" }, { "instruction": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours e would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ? The options: A ) 22 hours , B ) 30 hours , C ) 44 hours , D ) 60 hours , E ) it CAn not BE DEtErminED From thE inFormAtion ABovE .", "input": "", "output": "", "answer": "C" }, { "instruction": "1 = 5,2 = 4,3 = 253,4 = 2,6 = 15 , then 15 = ? The options: A ) 1 , B ) 255 , C ) 345 , D ) 445 , E ) 6", "input": "", "output": "", "answer": "E" }, { "instruction": "2 , 6 , 12 , 20 , 30 , 42 , 56 , ( . . . ) The options: A ) 62 , B ) 74 , C ) 72 , D ) 81 , E ) 58", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the area of a square field whose sides have a length of 16 meters ? The options: A ) 225 sq m , B ) 286 sq m , C ) 298 sq m , D ) 256 sq m , E ) 231 sq m", "input": "", "output": "", "answer": "D" }, { "instruction": "jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 50,000 after completion of one year . what will be madhu ' s share of profit ? The options: A ) rs . 27,000 , B ) rs . 24,000 , C ) rs . 25,000 , D ) rs . 36,000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "the difference between the place values of 7 and 3 in the prime number 527435 is The options: A ) 4 , B ) 5 , C ) 45 , D ) 6970 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain school , the ratio of boys to girls is 5 to 13 . if there are 160 more girls than boys , how many boys are there ? The options: A ) 100 , B ) 36 , C ) 45 , D ) 72 , E ) 117", "input": "", "output": "", "answer": "A" }, { "instruction": "ajay can walk 4 km in 1 hour . in how many hours he can walk 40 km ? The options: A ) 5 hrs , B ) 10 hrs , C ) 15 hrs , D ) 20 hrs , E ) 30 hrs", "input": "", "output": "", "answer": "B" }, { "instruction": "ramesh has solved 108 questions in an examination . if he got only \u2018 0 \u2019 marks , then how many questions were wrong when one mark is given for each one correct answer and 1 / 3 mark is subtracted on each wrong answer . The options: A ) 78 , B ) 79 , C ) 80 , D ) 81 , E ) 82", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the measure of the angle x made by the diagonals of the any adjacent sides of a cube . The options: A ) 30 , B ) 45 , C ) 60 , D ) 75 , E ) 90", "input": "", "output": "", "answer": "C" }, { "instruction": "after decreasing 15 % in the price of an article costs rs . 915 . find the actual cost of an article ? The options: A ) 915 , B ) 1000 , C ) 1076 , D ) 1067 , E ) 1760", "input": "", "output": "", "answer": "C" }, { "instruction": "dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 12 hours and then stops , how many hours will it take annie , working alone , to complete the job ? The options: A ) 2 , B ) 4 , C ) 6 , D ) 8 , E ) 10", "input": "", "output": "", "answer": "A" }, { "instruction": "a circle graph shows how the megatech corporation allocates its research and development budget : 17 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ? The options: A ) 8 \u00b0 , B ) 10 \u00b0 , C ) 26 \u00b0 , D ) 36 \u00b0 , E ) 52 \u00b0", "input": "", "output": "", "answer": "C" }, { "instruction": "find the c . i . on a sum of rs . 1600 for 9 months at 20 % per annum , interest being compounded quarterly ? The options: A ) 3388 , B ) 2778 , C ) 2522 , D ) 2988 , E ) 2771", "input": "", "output": "", "answer": "C" }, { "instruction": "if the cost price of 20 articles is same as the selling price of 25 articles . find the gain or loss percentage ? The options: A ) 20 % loss , B ) 30 % loss , C ) 40 % gAin , D ) 40 % loss , E ) 50 % loss", "input": "", "output": "", "answer": "A" }, { "instruction": "peter invests a sum of money and gets back an amount of $ 830 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ? The options: A ) 670 , B ) 664 , C ) 698 , D ) 758 , E ) 700", "input": "", "output": "", "answer": "D" }, { "instruction": "the simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is 250 more than the interest on the same sum at the rate of 8 per cent in 8 months . how much amount was borrowed ? The options: A ) 15000 , B ) 25000 , C ) 7500 , D ) 14500 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 57 ? The options: A ) 6 , B ) 3 , C ) 2 , D ) 1 , E ) 5", "input": "", "output": "", "answer": "E" }, { "instruction": "if $ 120 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ? The options: A ) $ 190 , B ) $ 180 , C ) $ 200 , D ) $ 340 , E ) $ 450", "input": "", "output": "", "answer": "E" }, { "instruction": "redo \u2019 s manufacturing costs for sets of horseshoes include a $ 10,500 initial outlay , and $ 30 per set . they can sell the sets $ 60 . if profit is revenue from sales minus manufacturing costs , and the company producessells 1000 sets of horseshoes , what was their profit ? The options: A ) $ 19500 , B ) $ 15500 , C ) $ 29500 , D ) $ 39500 , E ) $ 1500", "input": "", "output": "", "answer": "A" }, { "instruction": "a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 9 : 6 : 5 , respectively , by weight . if 40 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ? The options: A ) 15 , B ) 12 , C ) 8 , D ) 6 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "the population of a town increases 20 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1500 . then what is the population of the town 2 years ago ? The options: A ) A ) 1000 , B ) B ) 1100 , C ) C ) 1200 , D ) D ) 1300 , E ) E ) 1400", "input": "", "output": "", "answer": "A" }, { "instruction": "when a random experiment is conducted , the probability that event a occurs is 1 / 4 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? The options: A ) 14 / 65 , B ) 27 / 128 , C ) 33 / 140 , D ) 37 / 165 , E ) 41 / 187", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the thousandths digit in the decimal equivalent of 64 / 5000 ? The options: A ) 2 , B ) 1 , C ) 3 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "A" }, { "instruction": "find the average of all the numbers between 6 and 34 which are divisible by 5 . The options: A ) 18 , B ) 20 , C ) 24 , D ) 30 , E ) 32", "input": "", "output": "", "answer": "B" }, { "instruction": "in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] The options: A ) 0.32 , B ) 0.44 , C ) 32 , D ) 44 , E ) 55", "input": "", "output": "", "answer": "C" }, { "instruction": "a train running at the speed of 162 km / hr crosses a pole in 9 seconds . find the length of the train . The options: A ) 150 mEtEr , B ) 286 mEtEr , C ) 186 mEtEr , D ) 405 mEtEr , E ) 265 mEtEr", "input": "", "output": "", "answer": "D" }, { "instruction": "a student has to obtain 30 % of the total marks to pass . he got 150 marks and failed by 30 marks . the maximum marks are ? The options: A ) 750 , B ) 600 , C ) 650 , D ) 550 , E ) 500", "input": "", "output": "", "answer": "B" }, { "instruction": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ? The options: A ) 5729 , B ) 5760 , C ) 7200 , D ) 2870 , E ) 2799", "input": "", "output": "", "answer": "C" }, { "instruction": "we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 560 . how many green hats did we buy ? The options: A ) A ) 36 , B ) B ) 50 , C ) C ) 40 , D ) D ) 42 , E ) E ) 44", "input": "", "output": "", "answer": "B" }, { "instruction": "among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 10 % of listco ' s sales staff . listco employs 72 level - 1 employees , 20 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ? The options: A ) 46 , B ) 48 , C ) 56 , D ) 32 , E ) 58", "input": "", "output": "", "answer": "B" }, { "instruction": "the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1498 respectively . what is the rate of interest ? The options: A ) 3 % , B ) 5 % , C ) 7 % , D ) 9 % , E ) 11 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a man can row 9 kmph in still water . when the river is running at 3.1 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ? The options: A ) 2.21 , B ) 2.48 , C ) 9.24 , D ) 7.29 , E ) 7.94", "input": "", "output": "", "answer": "E" }, { "instruction": "a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio : The options: A ) 31 : 44 , B ) 31 : 27 , C ) 16 : 15 , D ) 35 : 44 , E ) 35 : 27", "input": "", "output": "", "answer": "D" }, { "instruction": "a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ? The options: A ) 5 minutEs , B ) 6 minutEs , C ) 8 minutEs , D ) 9 minutEs , E ) 15 / 2 minutEs", "input": "", "output": "", "answer": "E" }, { "instruction": "rakesh ' s mathematics test had 75 problems , 10 arithmetic , 30 algebra , 35 geometry problems . although he answered 70 % of arithmetic , 40 % of arithmetic and 60 % of geometry problems correctly , still he got less than 60 % problems right . how many more questions he would have to answer more to get passed ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "a number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x if x \u2260 0 ? The options: A ) 25 / 9 , B ) 7 / 3 , C ) 5 / 3 , D ) 3 / 5 , E ) 9 / 25", "input": "", "output": "", "answer": "B" }, { "instruction": "how many of the positive divisors of 240 are also multiples of 4 not including 240 ? The options: A ) 6 , B ) 8 , C ) 9 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "one day , connie plays a game with a fair 6 - sided die . connie rolls the die until she rolls a 6 , at which point the game ends . if she rolls a 6 on her first turn , connie wins 6 dollars . for each subsequent turn , connie wins 1 6 of the amount she would have won the previous turn . what is connie ' s expected earnings from the game ? The options: A ) 32 / 31 , B ) 33 / 31 , C ) 34 / 31 , D ) 36 / 31 , E ) 0 / 31", "input": "", "output": "", "answer": "D" }, { "instruction": "in the manufacture of a certain product , 6 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ? The options: A ) 0.125 % , B ) 0.3 % , C ) 0.8 % , D ) 1.25 % , E ) 2.0 %", "input": "", "output": "", "answer": "B" }, { "instruction": "in a group of ducks and cows , the total number of legs are 26 more than twice the no . of heads . find the total no . of buffaloes . The options: A ) 11 , B ) 12 , C ) 13 , D ) 16 , E ) 18", "input": "", "output": "", "answer": "C" }, { "instruction": "a man walking at 3 / 4 th of the speed , reaches his office late by 2 hours . what is the usual time ? The options: A ) 5 hours , B ) 3 hours , C ) 6 hours , D ) 12 hours , E ) 15 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer . The options: A ) 3 , B ) 5 , C ) 4 , D ) 2 , E ) 1", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum fetched total simple interest of 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ? The options: A ) 8925 , B ) 8032.5 , C ) 4462.5 , D ) 8900 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2 , 3 , and 5 if each digit can be used only once in each number ? The options: A ) 2210 , B ) 2220 , C ) 2230 , D ) 2240 , E ) 2250", "input": "", "output": "", "answer": "B" }, { "instruction": "a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 25 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ] The options: A ) 1 / 4 , B ) 7 / 12 , C ) 2 / 3 , D ) 7 / 8 , E ) 9 / 7", "input": "", "output": "", "answer": "E" }, { "instruction": "the h . c . f of two numbers is 11 and their l . c . m is 7700 . if one of the numbers is 275 , then the other is ? The options: A ) 288 , B ) 277 , C ) 308 , D ) 988 , E ) 112", "input": "", "output": "", "answer": "C" }, { "instruction": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ? The options: A ) 19 , B ) 21 , C ) 23 , D ) 25 , E ) 27", "input": "", "output": "", "answer": "B" }, { "instruction": "in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of four metre is left from all sides of the boundary of the garden . what is the length of the garden ? The options: A ) 22 , B ) 24 , C ) 26 , D ) 28 , E ) 30", "input": "", "output": "", "answer": "E" }, { "instruction": "each of the integers from 1 to 17 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ? The options: A ) 19 , B ) 12 , C ) 11 , D ) 10 , E ) 3", "input": "", "output": "", "answer": "D" }, { "instruction": "the averge score of a cricketer for 10 matches is 45 runs . if the average for the first 6 matches is 48 . then find the average for the last 4 matches ? The options: A ) 43.25 , B ) 43 , C ) 38 , D ) 40.5 , E ) 36", "input": "", "output": "", "answer": "D" }, { "instruction": "a shopkeeper fixes the marked price of an item 40 % above its cost price . the percentage of discount allowed to gain 8 % is The options: A ) 23.85 % , B ) 22.85 % , C ) 21.85 % , D ) 20.85 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "how long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ? The options: A ) 5.8 sEC , B ) 8.4 sEC , C ) 12.4 sEC , D ) 6.8 sEC , E ) 1.8 sEC", "input": "", "output": "", "answer": "B" }, { "instruction": "a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ? The options: A ) 18 \u00b0 , B ) 36 \u00b0 , C ) 54 \u00b0 , D ) 72 \u00b0 , E ) 90 \u00b0", "input": "", "output": "", "answer": "E" }, { "instruction": "how many integers are between 5 and 96 / 7 , inclusive ? The options: A ) 7 , B ) 9 , C ) 10 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "simplify : 256 x 256 - 144 x 144 The options: A ) 761200 , B ) 44800 , C ) 761800 , D ) 761500 , E ) nonE oF thEm", "input": "", "output": "", "answer": "B" }, { "instruction": "the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 20 , what is the perimeter of the garden , in feet ? The options: A ) 28 , B ) 36 , C ) 40 , D ) 56 , E ) 64", "input": "", "output": "", "answer": "C" }, { "instruction": "which is the least number that must be subtracted from 1856 so that the remainder when divided by 7 , 12 , 10 is 4 ? The options: A ) 168 , B ) 172 , C ) 182 , D ) 140 , E ) 160", "input": "", "output": "", "answer": "B" }, { "instruction": "find the average of first 3 multiples of 5 ? The options: A ) 10 , B ) 15 , C ) 12.5 , D ) 13 , E ) 21", "input": "", "output": "", "answer": "A" }, { "instruction": "the population of a town increased from 1 , 34,800 to 2 , 42,500 in a decade . the average percent increase of population per year is : The options: A ) 4.37 % , B ) 7.9 % , C ) 6.8 % , D ) 8.75 % , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "how many bricks , each measuring 25 cm * 11.25 cm * 6 cm , will be needed to build a wall 8 m * 6 m * 22.5 m The options: A ) 6400 , B ) 3777 , C ) 2679 , D ) 2667 , E ) 1997", "input": "", "output": "", "answer": "A" }, { "instruction": "a soccer team played 160 games and won 65 percent of them . how many games did it win ? The options: A ) 84 , B ) 94 , C ) 104 , D ) 114 , E ) 124", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain no . when divided by 80 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? The options: A ) 3 , B ) 4 , C ) 6 , D ) 7 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "a trader sells 80 meters of cloth for rs . 9000 at the profit of rs . 23.5 per metre of cloth . what is the cost price of one metre of cloth ? The options: A ) 22 , B ) 89 , C ) 90 , D ) 78 , E ) 80", "input": "", "output": "", "answer": "B" }, { "instruction": "a farm has chickens , cows and sheep . there are 6 times the number of chickens and cows than sheep . if there are more cows than chickens or sheep , and together , cows and chickens have a total of 100 feet and heads , how many sheep live at the farm ? The options: A ) 5 , B ) 8 , C ) 10 , D ) 4 , E ) 17", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 25 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ? The options: A ) 50 % , B ) 53 % , C ) 54 % , D ) 55 % , E ) 57 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a rower can row 5 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ? The options: A ) 1.5 , B ) 1.8 , C ) 2.1 , D ) 2.4 , E ) 2.7", "input": "", "output": "", "answer": "C" }, { "instruction": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m ? The options: A ) 29798 , B ) 27908 , C ) 24000 , D ) 25000 , E ) 27991", "input": "", "output": "", "answer": "C" }, { "instruction": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 26 have taken the preparatory course and 65 have not taken the course . how many members are there in the swim club ? The options: A ) 60 , B ) 80 , C ) 100 , D ) 130 , E ) 140", "input": "", "output": "", "answer": "D" }, { "instruction": "if 12 x = 16 y = 28 z , then what is a possible sum of positive integers x , y , and z ? The options: A ) 52 , B ) 58 , C ) 122 , D ) 84 , E ) 168", "input": "", "output": "", "answer": "C" }, { "instruction": "a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 32,000 commission , how many machines did she sell ? The options: A ) 90 , B ) 110 , C ) 105 , D ) 115 , E ) 120", "input": "", "output": "", "answer": "B" }, { "instruction": "in a group of ducks and cows , the total number of legs are 28 more than twice the no . of heads . find the total no . of buffaloes . The options: A ) 11 , B ) 12 , C ) 14 , D ) 16 , E ) 18", "input": "", "output": "", "answer": "C" }, { "instruction": "a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 26 per kg , then his gain percent is The options: A ) 12 % , B ) 39 % , C ) 14 % , D ) 15 % , E ) 16 %", "input": "", "output": "", "answer": "B" }, { "instruction": "abel can complete a work in 10 days , ben in 12 days and carla in 16 days . all of them began the work together , but abel had to leave after 2 days and ben 4 days before the completion of the work . how long did the work last ? The options: A ) 6 , B ) 7 , C ) 7 2 / 3 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 4 of the remaining paint . how many gallons of paint has joe used ? The options: A ) 18 , B ) 157 , C ) 175 , D ) 216 , E ) 250", "input": "", "output": "", "answer": "B" }, { "instruction": "0,2 , 6 , 12 , 20 , 30 , 42 , ___ The options: A ) 55 , B ) 85 , C ) 59 , D ) 63 , E ) 56", "input": "", "output": "", "answer": "E" }, { "instruction": "the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 66 kmph ? The options: A ) 210 , B ) 220 , C ) 230 , D ) 240 , E ) 250", "input": "", "output": "", "answer": "E" }, { "instruction": "a man has some hens and cows . if the number of heads be 50 and the number of feet equals 160 , then the number of hens will be : The options: A ) 22 , B ) 23 , C ) 24 , D ) 20 , E ) 28", "input": "", "output": "", "answer": "D" }, { "instruction": "if a population of women in a town is 50 % of men . what is the population of men as a percentage of population of women ? The options: A ) 100 % , B ) 120 % , C ) 200 % , D ) 150 % , E ) 180 %", "input": "", "output": "", "answer": "C" }, { "instruction": "how many even multiples of 65 are there between 649 and 1301 ? The options: A ) 5 , B ) 6 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "two trains are moving in opposite directions with speed of 70 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds The options: A ) 56 , B ) 45 , C ) 47 , D ) 26 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ? The options: A ) 80 % , B ) 105 % , C ) 120 % , D ) 124.2 % , E ) 138 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain experimental mathematics program was tried out in 2 classes in each of 26 elementary schools and involved 32 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are The options: A ) 0 AnD 13 , B ) 0 AnD 14 , C ) 1 AnD 10 , D ) 1 AnD 9 , E ) 2 AnD 8", "input": "", "output": "", "answer": "C" }, { "instruction": "if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 5 ) , what is the value of x ? The options: A ) 7 , B ) 11 , C ) 13 , D ) 15 , E ) 17", "input": "", "output": "", "answer": "A" }, { "instruction": "convert 1.8 hectares in ares The options: A ) 130 ArEs . , B ) 160 ArEs . , C ) 180 ArEs . , D ) 230 ArEs . , E ) 250 ArEs .", "input": "", "output": "", "answer": "C" }, { "instruction": "in an examination , the percentage of students qualified to the students appeared from school ' p ' is 70 % . in school ' q ' , the number of students appeared is 30 % more than the students appeared from school ' p ' and the number of students qualified from school ' q ' is 50 % more than the students qualified from school ' p ' . what is the % of students qualified to the number of students appeared from school ' q ' ? The options: A ) 80.78 % , B ) 80.76 % , C ) 80.72 % , D ) 80.79 % , E ) 80.74 %", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 75 . how tall is the fourth person ? The options: A ) 73 , B ) 75 , C ) 77 , D ) 79 , E ) 81", "input": "", "output": "", "answer": "E" }, { "instruction": "if the angles of an n sided polygon are in a . p and a > = 20 and d > = 20 then wat is the maximum possible value of n ? The options: A ) 12 , B ) 14 , C ) 21 , D ) 25 , E ) CAnt DEtErminE", "input": "", "output": "", "answer": "B" }, { "instruction": "the average of 9 numbers is 23 . if each number is increased by 4 , what will the new average be ? The options: A ) 25 , B ) 26 , C ) 27 , D ) 28 , E ) 29", "input": "", "output": "", "answer": "C" }, { "instruction": "a shopkeeper forced to sell at cost price , uses a 800 grams weight for a kilogram . what is his gain percent ? The options: A ) 10 % , B ) 25 % , C ) 11.11 % , D ) 12 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "company z has 58 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . The options: A ) 6 , B ) 10 , C ) 8 , D ) 9 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 82 ? The options: A ) 11 , B ) 12 , C ) 13 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "D" }, { "instruction": "if 50 % of x is 25 less than 25 % of 2500 , then x is ? The options: A ) 1880 , B ) 2160 , C ) 1200 , D ) 8400 , E ) 1210", "input": "", "output": "", "answer": "C" }, { "instruction": "a contractor undertakes to built a walls in 50 days . he employs 30 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ? The options: A ) 25 , B ) 30 , C ) 45 , D ) 20 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "in an examination , 30 % of total students failed in hindi , 35 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is : The options: A ) 10 % , B ) 20 % , C ) 30 % , D ) 70 % , E ) 50 %", "input": "", "output": "", "answer": "D" }, { "instruction": "in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , find out approximately what percentage of the selling price is the profit ? The options: A ) 180 % , B ) 120 % , C ) 90 % , D ) 80 % , E ) 70 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 10 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is : The options: A ) 12000 , B ) 6000 , C ) 8000 , D ) 10000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? The options: A ) 76 , B ) 21 , C ) 26 , D ) 28 , E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 108 . what was the number he chose ? The options: A ) 123 , B ) 267 , C ) 277 , D ) 267 , E ) 120", "input": "", "output": "", "answer": "A" }, { "instruction": "two numbers are less than third number by 30 % and 37 % respectively . how much percent is the second number less than by the first The options: A ) 8 % , B ) 10 % , C ) 9 % , D ) 11 % , E ) 12 %", "input": "", "output": "", "answer": "B" }, { "instruction": "express 30 mps in kmph ? The options: A ) 122 , B ) 108 , C ) 110 , D ) 150 , E ) 100", "input": "", "output": "", "answer": "B" }, { "instruction": "in a group of ducks and cows , the total number of legs are 8 more than twice the no . of heads . find the total no . of buffaloes . The options: A ) 5 , B ) 4 , C ) 6 , D ) 3 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,000 meters of fabric ? The options: A ) $ 8280 , B ) $ 8520 , C ) $ 8710 , D ) $ 8930 , E ) $ 9640", "input": "", "output": "", "answer": "E" }, { "instruction": "if log 8 x + log 8 1 / 6 = 1 / 3 , then the value of x is : The options: A ) 12 , B ) 16 , C ) 18 , D ) 24 , E ) 26", "input": "", "output": "", "answer": "A" }, { "instruction": "if the sum of two numbers is 12 and the sum of their squares is 124 , then the product of the numbers is The options: A ) 10 , B ) 44 , C ) 80 , D ) 88 , E ) 90", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio between the sale price and the cost price of an article is 8 : 5 . what is the ratio between the profit and the cost price of that article ? The options: A ) 23 , B ) 1 : 2 , C ) 2 : 5 , D ) 3 : 5 , E ) 25", "input": "", "output": "", "answer": "D" }, { "instruction": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 9 even numbers . his mother immediately worked out the answer . how much had he scored in math ? The options: A ) 80 , B ) 90 , C ) 30 , D ) 70 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "in the coordinate plane , points ( x , 1 ) and ( 7 , y ) are on line k . if line k passes through the origin and has slope 1 / 7 , then x - y = The options: A ) 6 , B ) 7 , C ) 5 , D ) 8 , E ) 3", "input": "", "output": "", "answer": "A" }, { "instruction": "find the perimeter and area of the rectangle of length 15 cm and breadth 13 cm . The options: A ) 71 Cm 2 , B ) 121 Cm 2 , C ) 141 Cm 2 , D ) 195 Cm 2 , E ) 221 Cm 2", "input": "", "output": "", "answer": "D" }, { "instruction": "out of 400 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? The options: A ) 120 , B ) 150 , C ) 100 , D ) 180 , E ) 220", "input": "", "output": "", "answer": "B" }, { "instruction": "find the sum of first 20 multiples of 12 . The options: A ) 2520 , B ) 3878 , C ) 2778 , D ) 27 , E ) 911", "input": "", "output": "", "answer": "A" }, { "instruction": "50 men shake hands with each other . maximum no of handshakes without cyclic handshakes . The options: A ) 190 , B ) 200 , C ) 1225 , D ) 220 , E ) 230", "input": "", "output": "", "answer": "C" }, { "instruction": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 10 minutes ? The options: A ) 40 , B ) 100 , C ) 150 , D ) 240 , E ) 300", "input": "", "output": "", "answer": "A" }, { "instruction": "real - estate salesman z is selling a house at a 25 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 5 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 30 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ? The options: A ) 21 / 34 , B ) 55 / 71 , C ) 25 / 34 , D ) 26 / 34 , E ) 27 / 34", "input": "", "output": "", "answer": "B" }, { "instruction": "if p ( a ) = 3 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events . The options: A ) 6 / 25 , B ) 3 / 25 , C ) 8 / 25 , D ) 2 / 13 , E ) 3 / 17", "input": "", "output": "", "answer": "A" }, { "instruction": "if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips ? The options: A ) 3 / 5 , B ) 1 / 2 , C ) 1 / 5 , D ) 1 / 8 , E ) 1 / 32", "input": "", "output": "", "answer": "E" }, { "instruction": "if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ? The options: A ) 6 , B ) 7 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "D" }, { "instruction": "a piece of work can finish by a certain number of men in 100 days . if however , there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ? The options: A ) 75 , B ) 82 , C ) 100 , D ) 110 , E ) 120", "input": "", "output": "", "answer": "D" }, { "instruction": "how many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph ? The options: A ) 17 sEC , B ) 21 sEC , C ) 23.3 sEC , D ) 27.5 sEC , E ) 29 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "an error 6 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ? The options: A ) 14.05 % , B ) 14.02 % , C ) 14 % , D ) 13 % , E ) 12.36 %", "input": "", "output": "", "answer": "E" }, { "instruction": "liz drove from point a to point b at 40 km / h . on her way back she drove at 50 km / h and therefore her way back lasted one hour less . what is the distance ( in km ) between a and b ? The options: A ) 150 , B ) 200 , C ) 450 , D ) 500 , E ) 600", "input": "", "output": "", "answer": "B" }, { "instruction": "uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 10 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ? The options: A ) 2 , B ) 4 , C ) 6 , D ) 3 , E ) 1", "input": "", "output": "", "answer": "E" }, { "instruction": "the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 75 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ? The options: A ) 2 / 5 , B ) 3 / 4 , C ) 4 / 5 , D ) 5 / 4 , E ) 2 / 7", "input": "", "output": "", "answer": "E" }, { "instruction": "in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? The options: A ) 25 % , B ) 15 % , C ) 20 % , D ) 40 % , E ) 45 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 8 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ? The options: A ) 2 , B ) 4 , C ) 12 , D ) 40 , E ) 160", "input": "", "output": "", "answer": "B" }, { "instruction": "the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? The options: A ) 31 , B ) 36 , C ) 35 , D ) 53 , E ) 57", "input": "", "output": "", "answer": "C" }, { "instruction": "a square is drawn inside a right - angled triangle with the two perpendicular sides as 12 cm and 8 cm . what is the side of the largest possible square that can be drawn ? The options: ['A ) 4.8 Cm', 'B ) 4.4 Cm', 'C ) 4.9 Cm', 'D ) 5.0 Cm', 'E ) 5.2 Cm']", "input": "", "output": "", "answer": "A" }, { "instruction": "the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee \u2019 s report , what is the probability that the two members selected will both be social teachers ? The options: A ) 2 / 3 , B ) 1 / 12 , C ) 2 / 9 , D ) 1 / 2 , E ) 1 / 24", "input": "", "output": "", "answer": "B" }, { "instruction": "in a 160 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is : The options: A ) 22 sEConDs , B ) 12 sEConDs , C ) 13 sEConDs , D ) 18 sEConDs , E ) 28 sEConDs", "input": "", "output": "", "answer": "C" }, { "instruction": ". 002 / ? = . 01 The options: A ) . 2 , B ) . 09 , C ) . 009 , D ) . 0009 , E ) nonE oF thEm", "input": "", "output": "", "answer": "A" }, { "instruction": "a cistern is filled by a tap in 7 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how many hours will it take the leak to empty it ? The options: A ) 80 , B ) 100 , C ) 120 , D ) 140 , E ) 160", "input": "", "output": "", "answer": "C" }, { "instruction": "by how much is 70 % of 120 greater than 35 % of 200 . The options: A ) 15 , B ) 14 , C ) 13 , D ) 16 , E ) 17", "input": "", "output": "", "answer": "B" }, { "instruction": "if 2 ^ k + 2 ^ k = ( 2 ^ 9 ) ^ ( 2 ^ 9 ) - 2 ^ k , then k = ? The options: A ) 11 / 3 , B ) 11 / 2 , C ) 2 ^ 11 - 1 , D ) 3 ^ 10 , E ) 3 ^ 11 - 1", "input": "", "output": "", "answer": "C" }, { "instruction": "in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 5 years older than b , the present age of b is The options: A ) 35 , B ) 37 , C ) 39 , D ) 41 , E ) 42", "input": "", "output": "", "answer": "A" }, { "instruction": "if 2 + 7 = 57 ; 3 + 6 = 63 ; 5 + 9 = 206 then 5 + 8 = ? The options: A ) 185 , B ) 186 , C ) 177 , D ) 168 , E ) 189", "input": "", "output": "", "answer": "E" }, { "instruction": "if a man lost 7 % by selling oranges at the rate of 21 a rupee at how many a rupee must he sell them to gain 42 % ? The options: A ) 12.75 , B ) 11.75 , C ) 8.75 , D ) 15.75 , E ) 13.75", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the greatest prime factor of 5 ^ 6 - 1 ? The options: A ) 29 , B ) 31 , C ) 37 , D ) 41 , E ) 43", "input": "", "output": "", "answer": "B" }, { "instruction": "a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick . the thickness of the bottom is : The options: A ) 90 Cm , B ) 4 Dm , C ) 1 m , D ) 1.1 Cm , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a and b can do a piece of work in 10 days . with the help of c they finish the work in 3 days . c alone can do that piece of work in ? The options: A ) 15.5 DAys , B ) 4.3 DAys , C ) 17.5 DAys , D ) 16.5 DAys , E ) 18.5 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes . how long will it take to go 5 km in stationary water ? The options: A ) 40 minutEs , B ) 1 hour , C ) 1 hour 15 min , D ) 1 hour 30 min , E ) 1 hour 40 min", "input": "", "output": "", "answer": "E" }, { "instruction": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 16 days . in how many days b alone can do the work ? The options: A ) 5 DAys , B ) 7 DAys , C ) 12 DAys , D ) 24 DAys , E ) 10 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b complete a work in 10 days . a alone can do it in 40 days . if both together can do the work in how many days ? The options: A ) 1.0875 DAys , B ) 0.125 DAys , C ) 0.0675 DAys , D ) 0.0875 DAys , E ) 0.0775 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length . The options: A ) 20 sEConDs , B ) 27 sEConDs , C ) 30 sEConDs , D ) 40 sEConDs , E ) 50 sEConDs", "input": "", "output": "", "answer": "D" }, { "instruction": "if a 2 - b 2 = 9 and a * b = 4 , find a 4 + b 4 . The options: A ) 32 , B ) 90 , C ) 113 , D ) 92 , E ) 81", "input": "", "output": "", "answer": "C" }, { "instruction": "a work as fast as b . if b can complete a work in 20 days independently , the number of days in which a and b can together finish the work in ? The options: A ) 2 DAys , B ) 3 DAys , C ) 4 DAys , D ) 5 DAys , E ) 6 2 / 3 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "there are 9 fictions and 6 non - fictions . how many cases are there such that 2 fictions and 2 non - fictions are selected from them ? The options: A ) 90 , B ) 120 , C ) 540 , D ) 180 , E ) 200", "input": "", "output": "", "answer": "C" }, { "instruction": "a train 120 m long is running with a speed of 62 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going The options: A ) 5 sEC , B ) 6 sEC , C ) 7 sEC , D ) 8 sEC , E ) 9 sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "a chemist mixes one liter of pure water with x liters of a 50 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ? The options: A ) 1 / 4 , B ) 1 / 3 , C ) 1 / 2 , D ) 1 , E ) 3 / 7", "input": "", "output": "", "answer": "E" }, { "instruction": "the cyclist going at a constant rate of 18 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 48 miles per hour . the motor - cyclist stops to wait for the cyclist 15 minutes after passing cyclist , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ? The options: A ) 25 , B ) 30 , C ) 35 , D ) 40 , E ) 45", "input": "", "output": "", "answer": "A" }, { "instruction": "a number is doubled and 9 is added . if the resultant is trebled , it becomes 81 . what is that number ? The options: A ) 3.5 , B ) 6 , C ) 8 , D ) 7 , E ) 9", "input": "", "output": "", "answer": "E" }, { "instruction": "what is difference between biggest and smallest fraction among 1 / 3 , 3 / 4 , 4 / 5 and 5 / 6 The options: A ) 2 / 5 , B ) 1 / 2 , C ) 1 / 6 , D ) 1 / 7 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "in a renowned city , the average birth rate is 9 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day . The options: A ) 32,300 , B ) 172,800 , C ) 468,830 , D ) 338,200 , E ) 259,200", "input": "", "output": "", "answer": "E" }, { "instruction": "894.7 \u2013 573.07 \u2013 95.007 = ? The options: A ) 226.623 , B ) 224.777 , C ) 233.523 , D ) 414.637 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1800 . their h . c . f is ? The options: A ) 20 , B ) 30 , C ) 40 , D ) 50 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 65 miles per hour , what is v in miles per hour ? The options: A ) 30 , B ) 40 , C ) 50 , D ) 55 , E ) 70", "input": "", "output": "", "answer": "D" }, { "instruction": "a man walking at a rate of 15 km / hr crosses a bridge in 35 minutes . the length of the bridge is ? The options: A ) 1250 m , B ) 1750 m , C ) 950 m , D ) 1000 m , E ) 1300 m", "input": "", "output": "", "answer": "B" }, { "instruction": "the squared value of the diagonal of a rectangle is ( 64 + b 2 ) sq cm , where b is less than 8 cm . what is the breadth of that rectangle ? The options: ['A ) 6 Cm', 'B ) 10 Cm', 'C ) 8 Cm', 'D ) DAtA inADEquAtE', 'E ) nonE oF thEsE']", "input": "", "output": "", "answer": "A" }, { "instruction": "the cost price of 60 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ? The options: A ) 42 , B ) 45 , C ) 48 , D ) 50 , E ) 54", "input": "", "output": "", "answer": "D" }, { "instruction": "in township k each property is taxed at 10 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000 , by how much will the property tax increase ? The options: A ) $ 32 , B ) $ 50 , C ) $ 320 , D ) $ 400 , E ) $ 500", "input": "", "output": "", "answer": "D" }, { "instruction": "on a certain transatlantic crossing , 40 percent of a ship \u2019 s passengers held round - trip tickets and also took their cars abroad the ship . if 20 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship \u2019 s passengers held round - trip tickets ? The options: A ) 20 % , B ) 40 % , C ) 50 % , D ) 60 % , E ) 80 %", "input": "", "output": "", "answer": "C" }, { "instruction": "at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s \u2013 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 3 ? The options: A ) $ 0.50 , B ) $ 1.00 , C ) $ 1.25 , D ) $ 1.50 , E ) $ 1.75", "input": "", "output": "", "answer": "A" }, { "instruction": "in a certain game , a large container is filled with red , yellow , green , and blue beads worth , respectively , 7 , 5 , 3 , and 2 points each . a number of beads are then removed from the container . if the product of the point values of the removed beads is 30 , 870000 , how many red beads were removed ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "# 88 a necklace is made by stringing q no individual beads together in the repeating pattern red bead , green bead , white bead , blue bead , and yellow bead . if the necklace design begins with a red bead and ends with a white bead , then q could equal The options: A ) 16 , B ) 28 , C ) 41 , D ) 54 , E ) 65", "input": "", "output": "", "answer": "B" }, { "instruction": "a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 16 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ? The options: A ) $ 20 , B ) $ 21 , C ) $ 22 , D ) $ 23 , E ) $ 24", "input": "", "output": "", "answer": "E" }, { "instruction": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 3000 . then his monthly salary is The options: A ) rs . 15000 , B ) rs . 12000 , C ) rs . 9000 , D ) rs . 6000 , E ) rs . 3000", "input": "", "output": "", "answer": "A" }, { "instruction": "the price of an item is discounted 6 percent on day 1 of a sale . on day 2 , the item is discounted another 6 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ? The options: A ) 82.3 % , B ) 84.6 % , C ) 85.6 % , D ) 89.6 % , E ) 79.2 %", "input": "", "output": "", "answer": "B" }, { "instruction": "last year a certain bond price with a face value of 5000 yielded 9 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ? The options: A ) 4063 , B ) 5325 , C ) 5351 , D ) 6000 , E ) 6923", "input": "", "output": "", "answer": "E" }, { "instruction": "a train of 40 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ? The options: A ) 6 , B ) 3 , C ) 4 , D ) 3.9 , E ) 3.6", "input": "", "output": "", "answer": "D" }, { "instruction": "when a mobile is sold for rs . 7200 , the owner loses 20 % . at what price must that mobile be sold in order to gain 20 % ? The options: A ) 10,400 , B ) 10,600 , C ) 10,800 , D ) 11,000 , E ) 11,200", "input": "", "output": "", "answer": "C" }, { "instruction": "( 0.15 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.015 + ( 0.1 ) ( power 2 ) is : The options: A ) 0.68 , B ) 0.08 , C ) 0.05 , D ) 0.06 , E ) nonE oF thEm", "input": "", "output": "", "answer": "C" }, { "instruction": "a retailer sells 7 shirts . the first 2 he sells for $ 38 and $ 42 . if the retailer wishes to sell the 7 shirts for an overall average price of over $ 50 , what must be the minimum average price of the remaining 5 shirts ? The options: A ) $ 54.00 , B ) $ 57.00 , C ) $ 58.00 , D ) $ 60.50 , E ) $ 63.00", "input": "", "output": "", "answer": "A" }, { "instruction": "a person crosses a 500 m long street in 4 minutes . what is his speed in km per hour ? The options: A ) 7.5 , B ) 2.6 , C ) 3.9 , D ) 8.2 , E ) 2.7", "input": "", "output": "", "answer": "A" }, { "instruction": "if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 160 , how much more remains to be paid ? The options: A ) $ 880 , B ) $ 990 , C ) $ 1,000 , D ) $ 1,100 , E ) $ 1,440", "input": "", "output": "", "answer": "E" }, { "instruction": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 100 m is ? The options: A ) 227 , B ) 247 , C ) 200 , D ) 277 , E ) 121", "input": "", "output": "", "answer": "C" }, { "instruction": "a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 50 % while buying and by 10 % while selling . what is his percentage profit ? The options: A ) 10.22 % , B ) 20.22 % , C ) 21.22 % , D ) 50 % , E ) CA n ' t BE CAlCulAtED", "input": "", "output": "", "answer": "D" }, { "instruction": "you need to pick any number from ' 1 , 3 , 5 , 7 , 9 , 11 , 13 and 15 ' to make below equation true . ( ) + ( ) + ( ) = 30 can you solve it ? The options: A ) 29 , B ) 30 , C ) 31 , D ) 32 , E ) 33", "input": "", "output": "", "answer": "B" }, { "instruction": "ram and shyam start a two - length swimming race at the same moment but from opposite ends of the pool . they swim in lanes at uniform speeds , but hardy is faster than andy . they 1 st pass at a point 18.5 m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec . after setting off on the return length , the swimmers pass for the 2 nd time just 10.5 m from the shallow end . how long is the pool ? The options: A ) 65 , B ) 60 , C ) 55 , D ) 50 , E ) 45", "input": "", "output": "", "answer": "E" }, { "instruction": "jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 4 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ? The options: A ) $ 506.00 , B ) $ 726.24 , C ) $ 900.00 , D ) $ 920.24 , E ) $ 926.24", "input": "", "output": "", "answer": "D" }, { "instruction": "what least number must besubtracted from 427398 so that remaining no . is divisible by 15 ? The options: A ) 725117481 , B ) 343564689 , C ) 454564690 , D ) 759900434 , E ) 656590009", "input": "", "output": "", "answer": "A" }, { "instruction": "one copy machine can make 30 copies a minute , and a second copy machine makes 20 copies a minute . if the two copiers work together , how long would it take them to make 2,000 copies ? The options: A ) 20 minutEs , B ) 40 minutEs , C ) 45 minutEs , D ) 50 minutEs , E ) 55 minutEs", "input": "", "output": "", "answer": "B" }, { "instruction": "little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 and $ 2.20 . how much money was left ? The options: A ) $ 5.85 , B ) $ 6.85 , C ) $ 3.85 , D ) $ 2.85 , E ) $ 4.85", "input": "", "output": "", "answer": "C" }, { "instruction": "in covering a distance of 48 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is : The options: A ) 5 kmph , B ) 6 kmph , C ) 6.25 kmph , D ) 7.5 kmph , E ) 8 kmph", "input": "", "output": "", "answer": "E" }, { "instruction": "find the number of different prime factors of 1250 The options: A ) 4 , B ) 2 , C ) 3 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "the speed of a bus increases by 2 kmph after every one hour . if the distance travelled in the first one hour was 35 km , what was the total distance travelled in 12 hours ? The options: A ) 550 , B ) 500 , C ) 552 , D ) 560 , E ) 580", "input": "", "output": "", "answer": "C" }, { "instruction": "harkamal purchased 8 kg of grapes at the rate of 90 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ? The options: A ) A ) 1055 , B ) B ) 1215 , C ) C ) 1065 , D ) D ) 1070 , E ) E ) 1080", "input": "", "output": "", "answer": "B" }, { "instruction": "the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 16 terms of the arithmetic progression ? The options: A ) 300 , B ) 120 , C ) 150 , D ) 160 , E ) 270", "input": "", "output": "", "answer": "D" }, { "instruction": "there are 3 red shoes & 7 green shoes . if two of red shoes are drawn what is the probability of getting red shoes The options: A ) 1 / 13 , B ) 1 / 14 , C ) 1 / 12 , D ) 1 / 15 , E ) 1 / 16", "input": "", "output": "", "answer": "D" }, { "instruction": "it will take 16 days for mary to complete a certain task alone . she worked for 8 days before she was joined by her sister . both of them completed the remaining task in 2 and half days . if her sister had joined her when she started the task , how many days would it have taken ? The options: A ) 6 , B ) 8 , C ) 2 , D ) 5 , E ) 4", "input": "", "output": "", "answer": "D" }, { "instruction": "on dividing 73 by a number , the quotient is 9 and the remainder is 1 . find the divisor ? The options: A ) A ) 8 , B ) B ) 15 , C ) C ) 16 , D ) D ) 17 , E ) E ) 18", "input": "", "output": "", "answer": "A" }, { "instruction": "shruti purchased several number of 3 articles p , q and r in the proportion 3 : 2 : 3 . if the unit costs of the articles p , q and r are 200 , rs . 90 and rs . 60 respectively , how many articles of q must have been purchased in the total purchases of rs . 4800 ? The options: A ) 8 , B ) 10 , C ) 12 , D ) 14 , E ) 16", "input": "", "output": "", "answer": "B" }, { "instruction": "a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 40 % profit on the cost of the item ? The options: A ) 18 , B ) 30 , C ) 22 , D ) 22.5 , E ) 27", "input": "", "output": "", "answer": "B" }, { "instruction": "a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 9 are wrong and the other digits are correct , then the correct answer would be : The options: A ) 553681 , B ) 555181 , C ) 555681 , D ) 556581 , E ) 556881", "input": "", "output": "", "answer": "C" }, { "instruction": "the least number which when increased by 5 each divisible by each one of 24 , 32 , 36 and 54 is : The options: A ) 427 , B ) 859 , C ) 869 , D ) 4320 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the compound interest on rs . 8500 at 7.5 % p . a . compounded half - yearly for 2 1 / 2 years . The options: A ) 1409.85 , B ) 1717.85 , C ) 1427.85 , D ) 2717.85 , E ) 1817.85", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ? The options: A ) 50 % , B ) 40 % , C ) 35 % , D ) 32 % , E ) 29 %", "input": "", "output": "", "answer": "E" }, { "instruction": "the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ? The options: A ) 22 , B ) 67 , C ) 40 , D ) 88 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 65 , what is the common ratio of the g . p ? The options: A ) 4 , B ) 1 / 4 , C ) 2 , D ) 9 , E ) 1 / 9", "input": "", "output": "", "answer": "A" }, { "instruction": "when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 3 of the remaining balance , what will be the final balance in her bank account ? The options: A ) 300 , B ) 375 , C ) 400 , D ) 500 , E ) 575", "input": "", "output": "", "answer": "C" }, { "instruction": "a man traveled a total distance of 1200 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ? The options: A ) 400 , B ) 440 , C ) 480 , D ) 520 , E ) 560", "input": "", "output": "", "answer": "C" }, { "instruction": "in town x , 64 percent of the population are employed , and 40 percent of the population are employed males . what percent of the employed people in town x are females ? The options: A ) 38 % , B ) 25 % , C ) 32 % , D ) 40 % , E ) 52 %", "input": "", "output": "", "answer": "A" }, { "instruction": "find the average of all prime numbers between 1 and 5 . The options: A ) 30 , B ) 3.6 , C ) 5.6 , D ) 6.6 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 237 for it , the cost price of the cricket bat for a is : The options: A ) 150 , B ) 120 , C ) 158 , D ) 160 , E ) 210", "input": "", "output": "", "answer": "C" }, { "instruction": "how many numbers between 100 and 756 are divisible by 2 , 3 , and 7 together ? The options: A ) 112 , B ) 77 , C ) 267 , D ) 16 , E ) 99", "input": "", "output": "", "answer": "D" }, { "instruction": "if the sides of a cube are in the ratio 9 : 5 . what is the ratio of their diagonals ? The options: A ) 9 : 5 , B ) 16 : 9 , C ) 4 : , D ) 3 : 4 , E ) 3 : 8", "input": "", "output": "", "answer": "A" }, { "instruction": "a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . so a , b and c together finish same work in how many days ? The options: A ) 12 , B ) 15 , C ) 8 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "D" }, { "instruction": "if a train , travelling at a speed of 180 kmph , crosses a pole in 6 sec , then the length of train is ? The options: A ) 300 , B ) 125 , C ) 288 , D ) 266 , E ) 121", "input": "", "output": "", "answer": "A" }, { "instruction": "a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 36 . find the profit percentage ? The options: A ) 80 % , B ) 50 % , C ) 59 % , D ) 40 % , E ) 53 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a can do a piece of work 60 days . b can do work in 90 days . in how many days they will complete the work together ? The options: A ) 36 DAys , B ) 32 DAys , C ) 19 DAys , D ) 17 DAys , E ) 18 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "what least number should be added to 1536 , so that the sum is completely divisible by 21 ? The options: A ) 16 , B ) 17 , C ) 18 , D ) 19 , E ) 20", "input": "", "output": "", "answer": "C" }, { "instruction": "find the simple interest on rs . 300 for 9 months at 6 paisa per month ? The options: A ) 142 , B ) 152 , C ) 162 , D ) 172 , E ) 182", "input": "", "output": "", "answer": "C" }, { "instruction": "gary drove from point a to point b at 60 km / h . on his way back he took a train travelling at 110 km / h and therefore his trip back lasted 5 hours less . what is the distance ( in km ) between a and b ? The options: A ) 600 . , B ) 630 . , C ) 660 . , D ) 690 . , E ) 720 .", "input": "", "output": "", "answer": "C" }, { "instruction": "when n is divided by 19 , the remainder is 7 . find thee difference between previous remainder and the remainder when 18 n is divided by 9 ? The options: A ) 7 , B ) 5 , C ) 0 , D ) 3 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 75 percent carbonated water , what percent of the volume of the mixture is p ? The options: A ) 40 % , B ) 50 % , C ) 60 % , D ) 80 % , E ) 90 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a can complete a work in 15 days and b can do the same work in 9 days . if a after doing 5 days , leaves the work , find in how many days b will do the remaining work ? The options: A ) 2 DAys , B ) 4 DAys , C ) 6 DAys , D ) 7 DAys , E ) 10 DAys", "input": "", "output": "", "answer": "C" }, { "instruction": "the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 15 km / hr respectively . they will meet for the first time in ? The options: A ) 50 min , B ) 40 min , C ) 35 min , D ) 25 min , E ) 20 min", "input": "", "output": "", "answer": "C" }, { "instruction": "the average weight of a class of 24 students is 35 kg . if the weight of the teacher be included , the average rises by 400 g . the weight of the teacher is : The options: A ) 45 , B ) 46 , C ) 47 , D ) 48 , E ) 49", "input": "", "output": "", "answer": "A" }, { "instruction": "the contents of a certain box consist of 14 apples and 24 oranges . how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ? The options: A ) 18 , B ) 6 , C ) 14 , D ) 17 , E ) 20", "input": "", "output": "", "answer": "A" }, { "instruction": "mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ? The options: A ) 124 % , B ) 120 % , C ) 96 % , D ) 80 % , E ) 64 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b are two circles . the radius of a is four times as large as the diameter of b . what is the ratio between the areas of the circles ? The options: ['A ) 1 : 8 .', 'B ) 1 : 2 .', 'C ) 1 : 24 .', 'D ) 1 : 64 .', 'E ) 1 : 6 .']", "input": "", "output": "", "answer": "D" }, { "instruction": "a can run 192 metre in 28 seconds and b in 32 seconds . by what distance a beat b ? The options: A ) 38 mEtrE , B ) 28 mEtrE , C ) 24 mEtrE , D ) 15 mEtrE , E ) 28 mEtrE", "input": "", "output": "", "answer": "C" }, { "instruction": "a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 585.75 . how many boxes of plain cookies did she sell ? The options: A ) 0 , B ) 233 , C ) 500 , D ) 695 , E ) 791", "input": "", "output": "", "answer": "E" }, { "instruction": "three pipes a , b and c can fill a tank from empty to full in 30 minutes , 20 minutes and 10 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution q in the liquid in the tank after 3 minutes ? The options: A ) 1 / 11 , B ) 2 / 11 , C ) 3 / 11 , D ) 4 / 11 , E ) 5 / 11", "input": "", "output": "", "answer": "C" }, { "instruction": "if a 5 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ? The options: A ) 100 % , B ) 200 % , C ) 300 % , D ) 400 % , E ) 500 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 550 ? The options: A ) 249 , B ) 498 , C ) 676 , D ) 823 , E ) 274", "input": "", "output": "", "answer": "E" }, { "instruction": "one copy machine can make 30 copies a minute , and a second copy machine makes 15 copies a minute . if the two copiers work together , how long would it take them to make 900 copies ? The options: A ) 15 minutEs , B ) 20 minutEs , C ) 25 minutEs , D ) 30 minutEs , E ) 35 minutEs", "input": "", "output": "", "answer": "B" }, { "instruction": "two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 10 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ? The options: A ) 7 / 4 , B ) 4 / 3 , C ) 15 / 4 , D ) 56 / 15 , E ) 17 / 5", "input": "", "output": "", "answer": "D" }, { "instruction": "if xy = 4 , x / y = 16 , for positive numbers x and y , y = ? The options: A ) 1 / 2 , B ) 2 , C ) 1 / 3 , D ) 3 , E ) 1 / 6", "input": "", "output": "", "answer": "A" }, { "instruction": "if a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours , what is the speed of the boat and the river ? The options: A ) 4 , 3 , B ) 4 , 4 , C ) 3 , 3 , D ) 4 , 5 , E ) 4 , 2", "input": "", "output": "", "answer": "E" }, { "instruction": "after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is 50 % full . if the original contents of the reservoir totaled 280 billion gallons , the reservoir was approximately what percentage full before the storm ? The options: A ) 45 % , B ) 48 % , C ) 54 % , D ) 58 % , E ) 65 %", "input": "", "output": "", "answer": "C" }, { "instruction": "in a garden , there are 12 rows and 14 columns of mango trees . the distance between two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is The options: A ) 20 m , B ) 22 m , C ) 24 m , D ) 26 m , E ) 28 m", "input": "", "output": "", "answer": "D" }, { "instruction": "the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students \u2019 grades was 86 , and the average of the female students \u2019 grades was 92 , how many female students took the test ? The options: A ) 8 , B ) 9 , C ) 10 , D ) 11 , E ) 16", "input": "", "output": "", "answer": "E" }, { "instruction": "a cycle is bought for rs . 800 and sold for rs . 1080 , find the gain percent ? The options: A ) 22 , B ) 20 , C ) 35 , D ) 88 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "a man invests some money partly in 12 % stock at 108 and partly in 10 % stock at 60 . to obtain equal dividends from both , he must invest the money in the ratio : The options: A ) 3 : 4 , B ) 3 : 2 , C ) 4 : 5 , D ) 16 : 15 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train . The options: A ) 150 , B ) 278 , C ) 100 , D ) 776 , E ) 191", "input": "", "output": "", "answer": "C" }, { "instruction": "laura took out a charge account at the general store and agreed to pay 8 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? The options: A ) $ 2.10 , B ) $ 37.10 , C ) $ 37.16 , D ) $ 37.8 , E ) $ 38.80", "input": "", "output": "", "answer": "D" }, { "instruction": "a man purchased 3 blankets @ rs . 100 each , 4 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? The options: A ) A ) 600 , B ) B ) 350 , C ) C ) 450 , D ) D ) 470 , E ) E ) 500", "input": "", "output": "", "answer": "A" }, { "instruction": "rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? The options: A ) $ 850 , B ) $ 840 , C ) $ 860 , D ) $ 870 , E ) $ 880", "input": "", "output": "", "answer": "B" }, { "instruction": "a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 70 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ? The options: A ) 36 , B ) 42 , C ) 48 , D ) 54 , E ) 60", "input": "", "output": "", "answer": "E" }, { "instruction": "one night a certain hotel rented 4 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ? The options: A ) 60 % , B ) 70 % , C ) 80 % , D ) 90 % , E ) 100 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a is 30 % more efficient than b . how much time they will working together take to complete a job which a alone could have done in 23 days ? The options: A ) 25 DAys , B ) 13 DAys , C ) 14 DAys , D ) 20 DAys , E ) 15 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "this year , mbb consulting fired 6 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? The options: A ) 98.5 % , B ) 100.0 % , C ) 102.8 % , D ) 103.4 % , E ) 105.0 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the average age of a group of 10 students is 20 years . if 2 more students join the group , the average age increases by 1 year . the average age of the new students is The options: A ) 23 , B ) 21 , C ) 19.5 , D ) 20 , E ) 22.5", "input": "", "output": "", "answer": "A" }, { "instruction": "in the set of positive integers from 1 to 100 , what is the sum of all the odd multiples of 5 ? The options: A ) 180 , B ) 245 , C ) 320 , D ) 405 , E ) 500", "input": "", "output": "", "answer": "E" }, { "instruction": "find the cost of fencing around a circular field of diameter 12 m at the rate of rs . 3.50 a meter ? The options: A ) 131.95 , B ) 132.9 , C ) 140.33 , D ) 123.4 , E ) 190.4", "input": "", "output": "", "answer": "A" }, { "instruction": "a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 28 adults have their meal , find the total number of children that can be catered with the remaining food . The options: A ) 33 , B ) 54 , C ) 18 , D ) 17 , E ) 01", "input": "", "output": "", "answer": "B" }, { "instruction": "a side of beef lost 25 percent of its weight in processing . if the side of beef weighed 540 pounds after processing , how many pounds did it weigh before processing ? The options: A ) 191 , B ) 355 , C ) 720 , D ) 840 , E ) 1,560", "input": "", "output": "", "answer": "C" }, { "instruction": "when a random experiment is conducted , the probability that event a occurs is 1 / 3 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ? The options: A ) 5 / 243 , B ) 25 / 243 , C ) 64 / 243 , D ) 80 / 243 , E ) 16 / 17", "input": "", "output": "", "answer": "D" }, { "instruction": "a reduction of 30 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 940 , what is the reduced price for kg ? The options: A ) 72 , B ) 47 , C ) 40 , D ) 28 , E ) 20", "input": "", "output": "", "answer": "B" }, { "instruction": "the compound ratio of 5 : 6 , 3 : 2 and 6 : 5 ? The options: A ) 1 : 1 , B ) 1 : 87 , C ) 1 : 6 , D ) 3 : 2 , E ) 1 : 2", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain company reported that the revenue on sales increased 30 % from 2000 to 2003 , and increased 80 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ? The options: A ) 50 % , B ) 40 % , C ) 35 % , D ) 32 % , E ) 39 %", "input": "", "output": "", "answer": "E" }, { "instruction": "if a man lost 5 % by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52 % ? The options: A ) 5 , B ) 8 , C ) 7 , D ) 4 , E ) 2", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 32 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ? The options: A ) 1800 , B ) 1820 , C ) 1150 , D ) 1122 , E ) 1900", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b together can do a work in 4 days . a alone can do it in 12 days . what time b will take to do the work alone ? The options: A ) 6 DAys , B ) 8 DAys , C ) 12 DAys , D ) 10 DAys , E ) 5 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 1.9 km respectively . the time taken by the slower train to cross the faster train in seconds is ? The options: A ) 99 , B ) 72 , C ) 48 , D ) 96 , E ) 22", "input": "", "output": "", "answer": "B" }, { "instruction": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 5 , ab = 5 and ac = 11 , what is the length of ae ? The options: A ) 19 , B ) 21 , C ) 23 , D ) 25 , E ) 27", "input": "", "output": "", "answer": "A" }, { "instruction": "a can run 288 metre in 28 seconds and b in 32 seconds . by what distance a beat b ? The options: A ) 38 mEtrE , B ) 28 mEtrE , C ) 23 mEtrE , D ) 15 mEtrE , E ) 36 mEtrE", "input": "", "output": "", "answer": "E" }, { "instruction": "417 x 417 + 383 x 383 = ? The options: A ) 320578 , B ) 80578 , C ) 80698 , D ) 81268 , E ) nonE oF thEm", "input": "", "output": "", "answer": "A" }, { "instruction": "if x / y = 7 / 4 , then ( x + y ) / ( x - y ) = ? The options: A ) 5 , B ) 11 / 3 , C ) - 1 / 6 , D ) - 1 / 5 , E ) - 5", "input": "", "output": "", "answer": "B" }, { "instruction": "if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.50 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was The options: A ) $ 1.56 , B ) $ 2.40 , C ) $ 3.80 , D ) $ 4.20 , E ) $ 8.00", "input": "", "output": "", "answer": "E" }, { "instruction": "if 1.5 x = 0.04 y , then the value of ( y - x ) ( y + x ) is : The options: A ) 1405.25 , B ) 1305.25 , C ) 1205.25 , D ) 1505.25 , E ) 1605.25", "input": "", "output": "", "answer": "A" }, { "instruction": "of the families in city x in 1956 , 25 percent owned a personal computer . the number of families in city x owning a computer in 1960 was 15 percent greater than it was in 1956 , and the total number of families in city x was 5 percent greater in 1956 than it was in 1960 . what percent of the families in city x owned a personal computer in 1960 ? The options: A ) 50 % , B ) 51.22 % , C ) 5.26 % , D ) 7.20 % , E ) 27.38 %", "input": "", "output": "", "answer": "E" }, { "instruction": "if the cost price is 91 % of sp then what is the profit % The options: A ) 9.89 % , B ) 8.90 % , C ) 9.00 % , D ) 8.00 % , E ) 9.27 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 24 , find the sum of money ? The options: A ) 288 , B ) 262 , C ) 72 , D ) 123 , E ) 267", "input": "", "output": "", "answer": "D" }, { "instruction": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a girl sitting at window seat in the slower train in 32 seconds . find the length of the faster train ? The options: A ) 170 m , B ) 100 m , C ) 270 m , D ) 320 m , E ) 350 m", "input": "", "output": "", "answer": "D" }, { "instruction": "tough and tricky questions : combinations . 8 contestants representing 4 different countries advance to the finals of a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ? The options: A ) 6 , B ) 7 , C ) 12 , D ) 16 , E ) 24", "input": "", "output": "", "answer": "E" }, { "instruction": "a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 44000 . what is the share of c ? The options: A ) rs . 12000 , B ) rs . 13375 , C ) rs . 11750 , D ) rs . 11625 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "in a 400 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ? The options: A ) 81 , B ) 147 , C ) 145 , D ) 143 , E ) 141", "input": "", "output": "", "answer": "A" }, { "instruction": "a sum of rs . 100 is lent at simple interest of 3 % p . a . for the first month , 9 % p . a . for the second month , 27 % p . a . for the third month and so on . what is the total amount of interest earned at the end of the year approximately The options: A ) rs . 797160 , B ) rs . 791160 , C ) rs . 65930 , D ) rs . 66430 , E ) rs . 67430", "input": "", "output": "", "answer": "D" }, { "instruction": "suppose you have three identical prisms with congruent equilateral triangles as the end - polygons . suppose you attach them by the rectangular faces so they are perfectly aligned . there will be some large faces created by two or more co - planar faces of the individual prisms : count each such large face as one . given that , how many faces does the resultant solid have ? The options: A ) 4 , B ) 6 , C ) 9 , D ) 10 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "the side of a square has the length of 6 . what is the area of the region shaded ? The options: ['A ) 48 - 8 \u03c0', 'B ) 48 - 6 \u03c0', 'C ) 24 + 6 \u03c0', 'D ) 16 + 8 \u03c0', 'E ) 64 - 8 \u03c0']", "input": "", "output": "", "answer": "B" }, { "instruction": "how many positive integer solutions does the equation 4 x + 5 y = 100 have ? The options: A ) 50 , B ) 33 , C ) 16 , D ) 5 , E ) 14", "input": "", "output": "", "answer": "D" }, { "instruction": "a man bought 10 crates of mangoes for $ 40 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 20 percent of the total cost ? The options: A ) $ 6 , B ) $ 8 , C ) $ 10 , D ) $ 12 , E ) $ 14", "input": "", "output": "", "answer": "A" }, { "instruction": "a train passes a station platform in 32 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? The options: A ) 228 , B ) 240 , C ) 887 , D ) 166 , E ) 180", "input": "", "output": "", "answer": "E" }, { "instruction": "irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did irin bake ? The options: A ) 0.125 % , B ) 1.25 % , C ) 12.5 % , D ) 53.5 % , E ) 0.152 %", "input": "", "output": "", "answer": "D" }, { "instruction": "how many four - digit numbers that do not contain the digits 3 or 6 are there ? The options: A ) 2401 , B ) 3584 , C ) 4096 , D ) 5040 , E ) 7200", "input": "", "output": "", "answer": "B" }, { "instruction": "a number increased by 30 % gives 650 . the number is ? The options: A ) 200 , B ) 300 , C ) 400 , D ) 500 , E ) 600", "input": "", "output": "", "answer": "D" }, { "instruction": "the positive numbers w , x , y , and z are such that x is 25 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? The options: A ) 15.2 % , B ) 16.2 % , C ) 20.0 % , D ) 23.2 % , E ) 24.8 %", "input": "", "output": "", "answer": "B" }, { "instruction": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 20 days . The options: A ) 12 DAys . , B ) 17 DAys . , C ) 18 DAys . , D ) 19 DAys . , E ) 20 DAys .", "input": "", "output": "", "answer": "A" }, { "instruction": "if ' x ' is a positive integer exactly divisible by 6 or 15 but not divisible by 12 . what could possibly be the value of ' x ' ? The options: A ) 120 , B ) 60 , C ) 36 , D ) 90 , E ) 54", "input": "", "output": "", "answer": "D" }, { "instruction": "if rs . 450 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ? The options: A ) 227 , B ) 299 , C ) 270 , D ) 585 , E ) 271", "input": "", "output": "", "answer": "C" }, { "instruction": "on a sum of money , the simple interest for 2 years is rs . 324 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is The options: A ) 15 % , B ) 14.25 % , C ) 9.87 % , D ) 10.5 % , E ) 11.5 %", "input": "", "output": "", "answer": "C" }, { "instruction": "country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 10 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ? The options: A ) $ 1600 , B ) $ 6000 , C ) $ 6050 , D ) $ 7050 , E ) $ 8000", "input": "", "output": "", "answer": "A" }, { "instruction": "a taxi leaves point a 2 hours after a bus left the same spot . the bus is traveling 20 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in two hours . The options: A ) 42 , B ) 48 , C ) 44 , D ) 50 , E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "a man walking at a constant rate of 12 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 24 miles per hour . the woman stops to wait for the man 10 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ? The options: A ) 13 , B ) 10 , C ) 15 , D ) 11 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "if | 5 x - 5 | = 100 , then find the sum of the values of x ? The options: A ) 1 , B ) - 2 , C ) 2 , D ) - 3 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "a bag of potatoes weighs 39 lbs divided by half of its weight . how much does the bag of potatoes weight ? The options: A ) 20 lB , B ) 30 lB , C ) 10 lB , D ) 13 lB , E ) 5 lB", "input": "", "output": "", "answer": "D" }, { "instruction": "a person saved $ 50 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ? The options: A ) 8 % , B ) 10 % , C ) 2 % , D ) 5 % , E ) 1.8 %", "input": "", "output": "", "answer": "E" }, { "instruction": "the difference between a number and its two - fifth is 510 . what is 20 % of that number ? The options: A ) 58 , B ) 170 , C ) 95 , D ) 100 , E ) 120", "input": "", "output": "", "answer": "B" }, { "instruction": "monica planned her birthday party . she prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra . after the party , it turned out that one of the guests did n ' t come but every one of the guests that did come ate 6 muffins and 6 muffins remained . how many guests did monica plan on ? The options: A ) 2 . , B ) 4 . , C ) 5 . , D ) 6 . , E ) 7 .", "input": "", "output": "", "answer": "A" }, { "instruction": "a boy rides his bicycle 10 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately ? The options: A ) 10.7 km / hr , B ) 10.8 km / hr , C ) 17.8 km / hr , D ) 10.5 km / hr , E ) 30.8 km / hr", "input": "", "output": "", "answer": "B" }, { "instruction": "if 3 ^ x = 2 , then 3 ^ ( 4 x + 3 ) = The options: A ) 429 , B ) 454 , C ) 432 , D ) 438 , E ) 108", "input": "", "output": "", "answer": "C" }, { "instruction": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 360 meters , after what time will they meet at the starting point ? The options: A ) 20 sEC , B ) 15 sEC , C ) 30 sEC , D ) 24 sEC , E ) 1 min", "input": "", "output": "", "answer": "D" }, { "instruction": "carol spends 1 / 3 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ? The options: A ) 1 / 4 , B ) 2 / 7 , C ) 5 / 9 , D ) 1 / 2 , E ) 7 / 12", "input": "", "output": "", "answer": "C" }, { "instruction": "positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 36 . what is the value of x ? The options: A ) 80 , B ) 96 , C ) 100 , D ) 108 , E ) 120", "input": "", "output": "", "answer": "E" }, { "instruction": "a van takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ? The options: A ) 40 kmph , B ) 50 kmph , C ) 60 kmph , D ) 75 kmph , E ) 860 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "on a ranch , a rancher can place a loop of rope , called a lasso , once in every 3 throws around a cow \u2019 s neck . what is the probability that the rancher will be able to place a lasso around a cow \u2019 s neck at least once in 3 attempts ? The options: A ) 1 / 3 , B ) 5 / 9 , C ) 7 / 9 , D ) 19 / 27 , E ) 23 / 27", "input": "", "output": "", "answer": "D" }, { "instruction": "if an object travels 90 feet in 2 seconds , what is the object \u2019 s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet ) The options: A ) 30.68 , B ) 32.34 , C ) 34.56 , D ) 36.72 , E ) 38.95", "input": "", "output": "", "answer": "A" }, { "instruction": "a dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25 % . find his false weight age ? The options: A ) 338 , B ) 278 , C ) 800 , D ) 269 , E ) 112", "input": "", "output": "", "answer": "C" }, { "instruction": "16.02 \u00e3 \u2014 0.1 = ? The options: A ) 0.1602 , B ) 0.001602 , C ) 1.6021 , D ) 0.01602 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "the population of a village is 13400 . it increases annually at the rate of 21 % p . a . what will be its population after 2 years ? The options: A ) 10000 , B ) 12000 , C ) 19619 , D ) 18989 , E ) 14400", "input": "", "output": "", "answer": "C" }, { "instruction": "if the cost price is 90 % of sp then what is the profit % The options: A ) 1.10 % , B ) 1.11 % , C ) 1.15 % , D ) 1.17 % , E ) 1.27 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a box measuring 49 inches long by 21 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? The options: A ) 17 , B ) 42 , C ) 54 , D ) 108 , E ) 864", "input": "", "output": "", "answer": "B" }, { "instruction": "a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 5,500 meters of fabric ? The options: A ) $ 7,360 , B ) $ 8,540 , C ) $ 9,720 , D ) $ 10,570 , E ) $ 11,680", "input": "", "output": "", "answer": "D" }, { "instruction": "sonika deposited rs . 7000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ? The options: A ) 9680 , B ) 2277 , C ) 9620 , D ) 2774 , E ) 1212", "input": "", "output": "", "answer": "C" }, { "instruction": "a \u2019 s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? The options: A ) 1 / 17 , B ) 3 / 17 , C ) 1 / 10 , D ) 7 / 20 , E ) 3 / 10", "input": "", "output": "", "answer": "D" }, { "instruction": "if 4 spiders make 3 webs in 9 days , then how many days are needed for 1 spider to make 1 web ? The options: A ) 9 , B ) 12 , C ) 27 , D ) 24 , E ) 16", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the largest number of 4 digits which is divisible by 15 , 25 , 40 and 75 ? The options: A ) 9600 , B ) 5200 , C ) 362 , D ) 958 , E ) 258", "input": "", "output": "", "answer": "A" }, { "instruction": "what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ? The options: A ) 3944 , B ) 2882 , C ) 2999 , D ) 1856 , E ) 2121", "input": "", "output": "", "answer": "D" }, { "instruction": "a 6 litre sol is 20 % alcohol . how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol ? The options: A ) A . 0.6 , B ) B . 1 , C ) C . 2.1 , D ) D . 3.6 , E ) E . 5.4", "input": "", "output": "", "answer": "D" }, { "instruction": "if 45 % of z is 60 % of y and y is 75 % of x , what percent of x is z ? The options: A ) 200 , B ) 160 , C ) 100 , D ) 65 , E ) 50", "input": "", "output": "", "answer": "C" }, { "instruction": "how many odd 3 - digit integers greater than 800 are there such that all their digits are different ? The options: A ) 40 , B ) 56 , C ) 72 , D ) 81 , E ) 104", "input": "", "output": "", "answer": "C" }, { "instruction": "the ratio of spinsters to cats is 2 to 7 . if there are 40 more cats than spinsters , how many spinsters are there ? The options: A ) 14 , B ) 16 , C ) 18 , D ) 20 , E ) 22", "input": "", "output": "", "answer": "B" }, { "instruction": "33 1 / 3 % of 240 ? The options: A ) 80 , B ) 90 , C ) 110 , D ) 120 , E ) 130", "input": "", "output": "", "answer": "A" }, { "instruction": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 60 people bought tickets to the concert , what was the total revenue from ticket sales ? The options: A ) $ 600 , B ) $ 740 , C ) $ 850 , D ) $ 980 , E ) $ 1,240", "input": "", "output": "", "answer": "E" }, { "instruction": "if x is a number such that x ^ 2 + 5 x - 6 = 0 and x ^ 2 - 5 x + 4 = 0 , then x = The options: A ) - 1 , B ) 1 , C ) 4 , D ) - 6 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "one pump drains one - half of a pond in 7 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ? The options: A ) 1 hour , B ) 1.1 hour , C ) 3 hours , D ) 5 hours , E ) 6 hours", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the area of square field whose side of length 18 m ? The options: A ) 225 sq m , B ) 186 sq m , C ) 586 sq m , D ) 324 sq m , E ) 296 sq m", "input": "", "output": "", "answer": "D" }, { "instruction": "how much is 80 % of 40 is greater than 4 / 5 of 30 ? The options: A ) 12 , B ) 27 , C ) 8 , D ) 12 , E ) 81", "input": "", "output": "", "answer": "C" }, { "instruction": "how many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number ? The options: A ) 4 , B ) 6 , C ) 11 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "A" }, { "instruction": "a line that passes through ( \u2013 3 , \u2013 4 ) and ( 3 , k ) has a slope = k . what is the value of k ? The options: A ) 3 / 4 , B ) 1 , C ) 4 / 5 , D ) 2 , E ) 7 / 2", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of a train and that of a platform are equal . if with a speed of 90 kmph the train crosses the platform in one minute , then the length of the train in metres is The options: A ) 500 , B ) 600 , C ) 750 , D ) 900 , E ) 950", "input": "", "output": "", "answer": "D" }, { "instruction": "a group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over . what is the sum of the two smallest possible values of n ? The options: A ) 33 , B ) 46 , C ) 49 , D ) 53 , E ) 86", "input": "", "output": "", "answer": "C" }, { "instruction": "in a forest 140 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? The options: A ) 150 , B ) 750 , C ) 1,250 , D ) 1,400 , E ) 2,500", "input": "", "output": "", "answer": "D" }, { "instruction": "working at their respective constant rates , machine a makes 100 copies in 15 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ? The options: A ) 250 , B ) 425 , C ) 650 , D ) 700 , E ) 750", "input": "", "output": "", "answer": "C" }, { "instruction": "the average age of 15 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . the age of the 15 th student is ? The options: A ) 11 yEArs , B ) 17 yEArs , C ) 26 yEArs , D ) 14 yEArs , E ) 12 yEArs", "input": "", "output": "", "answer": "C" }, { "instruction": "company a imported 10,500 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 10 percent of the widgets are made of brass and of those 20 percent are painted red and 40 percent are painted blue how many brass widgets painted green were imported ? The options: A ) 480 , B ) 840 , C ) 1050 , D ) 420 , E ) 2100", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 250 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 20 seconds . the speed of the train is : The options: A ) 100 , B ) 60 , C ) 55 , D ) 50 , E ) 45", "input": "", "output": "", "answer": "C" }, { "instruction": "you collect baseball cards . suppose you start out with 17 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? The options: A ) 17 , B ) 18 , C ) 19 , D ) 20 , E ) 21", "input": "", "output": "", "answer": "E" }, { "instruction": "a bakery has 6 employees . it pays annual salaries of $ 19000 to each of 2 employees , $ 21000 to 1 employee , and $ 22000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? The options: A ) $ 20,200 , B ) $ 20,500 , C ) $ 20,800 , D ) $ 21,000 , E ) $ 21,400", "input": "", "output": "", "answer": "C" }, { "instruction": "if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 15.00 / day for each additional week , how much does it cost to stay for 23 days ? The options: A ) $ 336 , B ) $ 289 , C ) $ 282 , D ) $ 274 , E ) $ 286", "input": "", "output": "", "answer": "A" }, { "instruction": "one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field . The options: A ) 120 , B ) 147 , C ) 251 , D ) 451 , E ) 258", "input": "", "output": "", "answer": "A" }, { "instruction": "a rainstorm increased the amount of water stored in state j reservoirs from 50 billion gallons to 75 billion gallons . if the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? The options: A ) 90 , B ) 114 , C ) 124 , D ) 120 , E ) 127", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain quantity is measured on two different scales , the t - scale and the s - scale , that are related linearly . measurements on the t - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60 , respectively . what measurement on the t - scale corresponds to a measurement of 100 on the s - scale ? The options: A ) 20 , B ) 36 , C ) 48 , D ) 60 , E ) 84", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of two numbers is 184 . if one - third of the one exceeds one - seventh of the other by 8 , find the smaller number . The options: A ) 72 , B ) 64 , C ) 84 , D ) 12 , E ) 92", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of the first 50 positive even integers is 2550 . what is the sum q of even integers from 102 to 200 inclusive ? The options: A ) 5100 , B ) 7550 , C ) 10100 , D ) 15500 , E ) 20100", "input": "", "output": "", "answer": "B" }, { "instruction": "how many litres of pure acid are there in 15 litres of a 20 % solution The options: A ) 4 , B ) 5 , C ) 2 , D ) 3 , E ) 1", "input": "", "output": "", "answer": "D" }, { "instruction": "rs . 385 were divided among x , y , z in such a way that x had rs . 20 more than y and z had rs 15 more than x . how much was y \u2019 s share ? The options: A ) rs . 130 , B ) rs . 145 , C ) rs . 154 , D ) rs . 160 , E ) rs . 164", "input": "", "output": "", "answer": "B" }, { "instruction": "when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16 The options: A ) 1 , B ) 3 , C ) 4 , D ) 5 , E ) 2", "input": "", "output": "", "answer": "A" }, { "instruction": "a group of men decided to do a work in 20 days , but 8 of them became absent . if the rest of the group did the work in 28 days , find the original number of men ? The options: A ) 60 , B ) 28 , C ) 40 , D ) 50 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "three walls have wallpaper covering a combined area of 280 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 36 square meters . what is the area that is covered with three layers of wallpaper ? The options: A ) 5 squArE mEtErs , B ) 32 squArE mEtErs , C ) 42 squArE mEtErs , D ) 83.3 squArE mEtErs , E ) 120 squArE mEtErs", "input": "", "output": "", "answer": "B" }, { "instruction": "mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is The options: A ) 18 , B ) 22 , C ) 42 , D ) 43 , E ) 45", "input": "", "output": "", "answer": "D" }, { "instruction": "a camera lens filter kit containing 5 filters sells for $ 67.50 . if the filters are purchased individually , 2 of them are priced at $ 7.45 each , 2 at $ 10.05 each , 1 at $ 14.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ? The options: A ) 25.66 % , B ) 26.66 % , C ) 27.66 % , D ) 28.66 % , E ) 29.66 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the largest 4 digit number exactly divisible by 90 is ? The options: A ) 9935 , B ) 9939 , C ) 9944 , D ) 9954 , E ) 9990", "input": "", "output": "", "answer": "E" }, { "instruction": "if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? . The options: A ) 10 , B ) 12 , C ) 15 , D ) 18 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "a man performs 1 / 2 of the total journey by rail , 1 / 4 by bus and the remaining 4 km on foot . his total journey is The options: A ) 18 km , B ) 16 km , C ) 12 km , D ) 24 km , E ) 25 km", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the probability that a two digit number selected at random is a multiple of 3 and not a multiple of 5 ? The options: A ) 1 / 15 , B ) 2 / 15 , C ) 4 / 15 , D ) 7 / 15 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "bhanu spends 30 % of his income on petrol on scooter 21 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ? The options: A ) 2287 , B ) 140 , C ) 128 , D ) 797 , E ) 147", "input": "", "output": "", "answer": "E" }, { "instruction": "45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 35 meters deep by working for 6 hours ? The options: A ) 10 , B ) 20 , C ) 30 , D ) 40 , E ) 50", "input": "", "output": "", "answer": "C" }, { "instruction": "one - third less than 25 % of 180 is equal to : The options: A ) 15 , B ) 30 , C ) 35 , D ) 40 , E ) 45", "input": "", "output": "", "answer": "B" }, { "instruction": "if an object travels at 8 feet per second , how many feet does it travel in forty five minutes ? The options: A ) 18000 , B ) 24000 , C ) 21600 , D ) 18000 , E ) 22000", "input": "", "output": "", "answer": "C" }, { "instruction": "in arun \u2019 s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest not agree with arun and he thinks that arun \u2019 s weight is greater than 60 kg but less than 70 kg . his mother \u2019 s view is that his weight can not be greater than 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ? The options: A ) 66 kg , B ) 67 kg , C ) 68 kg , D ) 69 kg , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 8 books on a shelf , of which 3 are paperbacks and 5 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ? The options: A ) A ) 40 , B ) B ) 45 , C ) C ) 50 , D ) D ) 55 , E ) E ) 65", "input": "", "output": "", "answer": "E" }, { "instruction": "rohan spends 40 % of his salary on food , 20 % on house rent , 10 % on entertainment and 10 % on conveyance . if his savings at the end of a month are rs . 500 . then his monthly salary is The options: A ) rs . 2500 , B ) rs . 3500 , C ) rs . 1500 , D ) rs . 500 , E ) rs . 2000", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 418 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? The options: A ) 152 , B ) 209 , C ) 242 , D ) 171 , E ) 181", "input": "", "output": "", "answer": "C" }, { "instruction": "robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert borrowed rs . 7280 / - from company . but robert forget that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the incentive amount given to robert ? The options: A ) 9500 , B ) 12500 , C ) 10780 , D ) 10500 , E ) 8600", "input": "", "output": "", "answer": "C" }, { "instruction": "what number has a 3 : 4 ratio to the number 400 ? The options: A ) 130 , B ) 100 , C ) 200 , D ) 300 , E ) 120", "input": "", "output": "", "answer": "D" }, { "instruction": "the food in a camp lasts for 40 men for 20 days . if 10 more men join , how many days will the food last ? The options: A ) 22 DAys , B ) 30 DAys , C ) 23 DAys , D ) 16 DAys , E ) 17 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a trader bought a car at 30 % discount on its original price . he sold it at a 50 % increase on the price he bought it . what percent of profit did he make on the original price ? The options: A ) 7 % , B ) 62 % , C ) 12 % , D ) 19 % , E ) 5 %", "input": "", "output": "", "answer": "E" }, { "instruction": "how many cubes of 5 cm edge can be cut out of a cube of 20 cm edge The options: A ) 36 , B ) 64 , C ) 216 , D ) 484 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "in a weight - lifting competition , the total weight of joe ' s two lifts was 450 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ? The options: A ) 250 , B ) 275 , C ) 325 , D ) 350 , E ) 400", "input": "", "output": "", "answer": "A" }, { "instruction": "a particular library has 150 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 108 books in the special collection at that time , how many books of the special collection were loaned out during that month ? The options: A ) 40 , B ) 60 , C ) 80 , D ) 100 , E ) 120", "input": "", "output": "", "answer": "E" }, { "instruction": "ramu rides his bike at an average speed of 45 km / hr and reaches his desitination in 4 hours . somu covers the same distance in 6 hours . if ramu covered his journey at an average speed which was 9 km / hr less and somu covered his journey at an average speed which was 10 km / hr more , then the difference in their times taken to reach the destination would be ( in minutes ) . The options: A ) 23 minutEs , B ) 30 minutEs , C ) 43 minutEs , D ) 23 minutEs , E ) 33 minutEs", "input": "", "output": "", "answer": "B" }, { "instruction": "if \u00e2 \u20ac \u0153 * \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 + \u00e2 \u20ac \u009d , \u00e2 \u20ac \u0153 / \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 * \u00e2 \u20ac \u009d , \u00e2 \u20ac \u0153 - \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 / \u00e2 \u20ac \u009d , \u00e2 \u20ac \u0153 + \u00e2 \u20ac \u009d is called \u00e2 \u20ac \u0153 - \u00e2 \u20ac \u009d . 240 * 80 / 60 + 40 / 10 = ? The options: A ) - 2305 , B ) - 2407 , C ) 2509 , D ) - 2101 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "elena purchased brand x pens for $ 5.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ? The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is : The options: A ) 28 , B ) 30 , C ) 40 , D ) 50 , E ) 60", "input": "", "output": "", "answer": "C" }, { "instruction": "in order to fence a square manish fixed 48 poles . if the distance between two poles , is 2 metres then what will be the area of the square so formed ? The options: ['A ) 133 Cm 2', 'B ) 276 Cm 2', 'C ) 2500 Cm 2', 'D ) 576 Cm 2', 'E ) nonE oF thEsE']", "input": "", "output": "", "answer": "D" }, { "instruction": "find the area of a parallelogram with base 20 cm and height 10 cm ? The options: ['A ) 290 Cm 2', 'B ) 380 Cm 2', 'C ) 270 Cm 2', 'D ) 280 Cm 2', 'E ) 200 Cm 2']", "input": "", "output": "", "answer": "E" }, { "instruction": "a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 84 liters of drink a to convert it to drink b ? The options: A ) 24 , B ) 28 , C ) 32 , D ) 36 , E ) 40", "input": "", "output": "", "answer": "B" }, { "instruction": "which greatest possible length can be used to measure exactly 12 meter 65 cm , 15 meter 25 cm and 10 meter 65 cm The options: A ) 45 Cm , B ) 5 Cm , C ) 4 Cm , D ) 15 Cm , E ) 50 Cm", "input": "", "output": "", "answer": "B" }, { "instruction": "in a certain game , each player scores either 2 points or 5 points . if n players score 2 points and m players score 5 points , and the total number of points scored is 50 , what is the least possible positive r difference between n and m ? The options: A ) 1 , B ) 3 , C ) 5 , D ) 7 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "in a school with 620 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is The options: A ) 150 , B ) 200 , C ) 155 , D ) 350 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "two trains are moving in opposite directions with speed of 60 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds The options: A ) 40 , B ) 42 , C ) 44 , D ) 46 , E ) 48", "input": "", "output": "", "answer": "E" }, { "instruction": "the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 14 km / hr respectively . they will meet for the first time in ? The options: A ) 50 min , B ) 40 min , C ) 34 min , D ) 25 min , E ) 20 min", "input": "", "output": "", "answer": "C" }, { "instruction": "the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 90 and rs . 80 respectively . the sum is : The options: A ) 1360 , B ) 1450 , C ) 720 , D ) 1800 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "find the l . c . m of 6 , 15 , 24 and 20 . The options: A ) 140 , B ) 160 , C ) 120 , D ) 150 , E ) 250", "input": "", "output": "", "answer": "C" }, { "instruction": "if shreehari walks in the speed of 4.5 km / hr from his house , in what time will he reach his school which is 750 m long from his house ? The options: A ) 5 , B ) 30 , C ) 10 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "C" }, { "instruction": "if x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x = The options: A ) 4 , B ) - 4 , C ) - 3 , D ) - 6 , E ) 1", "input": "", "output": "", "answer": "A" }, { "instruction": "a library has an average of 510 visitors on sunday and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is The options: A ) 250 , B ) 276 , C ) 280 , D ) 285 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "a horse chases a pony 8 hours after the pony runs . horse takes 12 hours to reach the pony . if the average speed of the horse is 320 kmph , what s the average speed of the pony ? The options: A ) 182 kmph , B ) 192 kmph , C ) 193 kmph , D ) 196 kmph , E ) 190 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "a , b and c start a business each investing 10,000 . after 6 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 34,200 was recorded . find the share of b . The options: A ) 9,600 , B ) 21,200 , C ) 28,200 , D ) 20,500 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? The options: A ) 39.52 $ , B ) 40.63 $ , C ) 41.63 $ , D ) 42.15 $ , E ) 41.15 $", "input": "", "output": "", "answer": "A" }, { "instruction": "an aeroplane covers a certain distance at a speed of 300 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : The options: A ) 1008 kmph , B ) 760 kmph , C ) 1080 kmph , D ) 1070 kmph , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150 ? The options: A ) 10 , B ) 25 , C ) 50 , D ) 75 , E ) 100", "input": "", "output": "", "answer": "D" }, { "instruction": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds . the ratio of their speeds is ? The options: A ) 3 / 1 , B ) 4 / 1 , C ) 3 / 3 , D ) 3 / 5 , E ) 5 / 2", "input": "", "output": "", "answer": "B" }, { "instruction": "a chemist mixes one liter of pure water with x liters of a 60 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ? The options: A ) 1 / 4 , B ) 1 / 3 , C ) 1 / 2 , D ) 1 , E ) 3", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain car uses one gallon of gasoline every 32 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? The options: A ) 15 % , B ) 20 % , C ) 22.5 % , D ) 25 % , E ) 30 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a retailer sold an appliance for $ 100 . if the retailer ' s gross profit on the appliance was 25 percent of the retailer ' s cost for the appliance , how many dollars was the retailer ' s gross profit ? The options: A ) $ 10 , B ) $ 16 , C ) $ 20 , D ) $ 24 , E ) $ 25", "input": "", "output": "", "answer": "C" }, { "instruction": "24 oz of juice p and 25 oz of juice t are mixed to make smothies x and y . the ratio of p to t in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? The options: A ) 5 , B ) 10 , C ) 15 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "D" }, { "instruction": "if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 15 percent of the test takers answered neither question correctly , what percent answered both correctly ? The options: A ) 60 % , B ) 65 % , C ) 70 % , D ) 75 % , E ) 80 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ? The options: A ) 61 . , B ) 63 . , C ) 65 , D ) 67 , E ) it DEpEnDs how mAny pEoplE ArE thErE in thE ClAss .", "input": "", "output": "", "answer": "E" }, { "instruction": "find the least number of complete years in which a sum of money put out at 25 % compound interest will be more than double of itself ? The options: A ) 6 yEArs , B ) 9 yEArs , C ) 5 yEArs , D ) 4 yEArs , E ) 6 yEArs", "input": "", "output": "", "answer": "D" }, { "instruction": "mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? The options: A ) 18 , B ) 19 , C ) 22 , D ) 20 , E ) 19", "input": "", "output": "", "answer": "C" }, { "instruction": "7 m - 20 = 2 m , then m + 7 is equal to ? The options: A ) 9 , B ) 10 , C ) 11 , D ) 12 , E ) 13", "input": "", "output": "", "answer": "C" }, { "instruction": "which is greater than 16 The options: A ) 1.6 , B ) 66 , C ) 6 , D ) - 6 , E ) 6.1", "input": "", "output": "", "answer": "B" }, { "instruction": "the smallest value of n , for which 2 n + 1 is not a prime number is The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "two 100 multiples of 7 are chosen at random , and 300 multiples of 8 are chosen at random . approximately what percentage of the 500 selected numbers are odd ? The options: A ) 20 % , B ) 25 % , C ) 40 % , D ) 50 % , E ) 80 %", "input": "", "output": "", "answer": "A" }, { "instruction": "in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 1 / 4 of the way by bus , and the remaining 5 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ? The options: A ) 13 , B ) 17 , C ) 42 , D ) 15 , E ) 12", "input": "", "output": "", "answer": "E" }, { "instruction": "the sector of a circle has radius of 14 cm and central angle 108 o . find its perimeter ? The options: A ) 52 Cm , B ) 54.4 Cm , C ) 60 Cm , D ) 65 Cm , E ) 70 Cm", "input": "", "output": "", "answer": "B" }, { "instruction": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 10 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ? The options: A ) 8 mph , B ) 5.5 mph , C ) 3.5 mph , D ) 4 mph , E ) 0.5 mph", "input": "", "output": "", "answer": "B" }, { "instruction": "j is 25 % less than p and 20 % less than t . t is x % less than p . what is the value of x ? The options: A ) 93.5 , B ) 90 , C ) 6.75 , D ) 6.25 , E ) 2", "input": "", "output": "", "answer": "D" }, { "instruction": "denise is trying to open a safe whose combination she does not know . if the safe has 4000 possible combinations , and she can try 75 different possibilities , what is the probability that she does not pick the one correct combination . The options: A ) 1 , B ) 159 / 160 , C ) 157 / 160 , D ) 4 3 / 160 , E ) 0", "input": "", "output": "", "answer": "C" }, { "instruction": "what percent is 36 paisa ' s of 12 rupees ? The options: A ) 2 % , B ) 3 % , C ) 4 % , D ) 5 % , E ) 6 %", "input": "", "output": "", "answer": "B" }, { "instruction": "in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many q cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] The options: A ) 0.33 , B ) 0.44 , C ) 0.55 , D ) 44 , E ) 55", "input": "", "output": "", "answer": "D" }, { "instruction": "two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ? The options: ['A ) 64 : 13', 'B ) 13 : 64', 'C ) 27 : 64', 'D ) 64 : 27', 'E ) nonE oF thEm']", "input": "", "output": "", "answer": "D" }, { "instruction": "a train which has 420 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ? The options: A ) 56 sEC , B ) 42 sEC , C ) 36 sEC , D ) 29 sEC . , E ) 19 sEC .", "input": "", "output": "", "answer": "B" }, { "instruction": "danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ? The options: A ) 34 , B ) 65 , C ) 88 , D ) 90 , E ) 128", "input": "", "output": "", "answer": "E" }, { "instruction": "sum of the squares of 3 no . is 276 and the sum of their products taken two at a time is 150 . find the sum ? The options: A ) 22 , B ) 18 , C ) 26 , D ) 24 , E ) 32", "input": "", "output": "", "answer": "D" }, { "instruction": "zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 14 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 14 questions did zachary answer correctly ? The options: A ) 6 , B ) 7 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "E" }, { "instruction": "bhaman travelled for 15 hours . he covered the first half of the distance at 40 kmph and remaining half of the distance at 10 kmph . find the distance travelled by bhaman ? The options: A ) 240 , B ) 230 , C ) 260 , D ) 220 , E ) 340", "input": "", "output": "", "answer": "A" }, { "instruction": "in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 40 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ? The options: A ) 20 % , B ) 23 % , C ) 15 % , D ) 18 % , E ) 16 %", "input": "", "output": "", "answer": "A" }, { "instruction": "three pipes of same capacity can fill a tank in 8 hours . if there are only two pipes of same capacity , the tank can be filled in . The options: A ) 11 hours , B ) 12 hours , C ) 15 hours , D ) 16 hours , E ) 17 hours", "input": "", "output": "", "answer": "B" }, { "instruction": "each factor of 220 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 55 ? The options: A ) 1 / 16 , B ) 5 / 42 , C ) 1 / 8 , D ) 3 / 16 , E ) 1 / 4", "input": "", "output": "", "answer": "E" }, { "instruction": "john makes $ 40 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ? The options: A ) 16 % , B ) 16.66 % , C ) 76.69 % , D ) 76.98 % , E ) 75 %", "input": "", "output": "", "answer": "E" }, { "instruction": "an association of mathematics teachers has 1,260 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 72 percent of the votes cast ? The options: A ) 75 % , B ) 58 % , C ) 30 % , D ) 34 % , E ) 25 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? The options: A ) 4551 , B ) 4771 , C ) 4991 , D ) 4881 , E ) 4661", "input": "", "output": "", "answer": "C" }, { "instruction": "one half of a two digit number exceeds its one third by 4 . what is the sum of the digits of the number ? The options: A ) 6 , B ) 9 , C ) 11 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "A" }, { "instruction": "calculate the number of bricks , each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10 % of its volume is occupied by mortar ? The options: A ) 720 , B ) 600 , C ) 660 , D ) 6000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "if the side length of square b is three times that of square a , the area of square b is how many times the area of square a ? The options: A ) 9 , B ) 8 , C ) 6 , D ) 3 , E ) 2", "input": "", "output": "", "answer": "A" }, { "instruction": "the lcm and hcf of two numbers are 8 and 48 respectively . if one of them is 24 , find the other ? The options: A ) 12 , B ) 14 , C ) 15 , D ) 16 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "one night a certain hotel rented 3 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ? The options: A ) 50 % , B ) 55 % , C ) 60 % , D ) 65 % , E ) 70 %", "input": "", "output": "", "answer": "A" }, { "instruction": "in what time will a train 180 m long cross an electric pole , it its speed be 144 km / hr ? The options: A ) 2.5 sEC , B ) 1.9 sEC , C ) 8.9 sEC , D ) 4.5 sEC , E ) 2.9 sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "how many 7 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 1234321 . The options: A ) 100 , B ) 610 , C ) 729 , D ) 9000 , E ) 1000", "input": "", "output": "", "answer": "D" }, { "instruction": "the average monthly salary of 25 employees in an organisation is rs . 2500 . if the manager ' s salary is added , then the average salary increases by rs . 200 . what is the manager ' s monthly salary ? The options: A ) rs . 7700 , B ) rs . 3618 , C ) rs . 3600 , D ) rs . 3619 , E ) rs . 3610", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of two consecutive number is 49 . which is the larger number ? The options: A ) 42 , B ) 43 , C ) 25 , D ) 45 , E ) 46", "input": "", "output": "", "answer": "C" }, { "instruction": "we had $ 1400 left after spending 30 % of the money that we took for shopping . how much money did we start with ? The options: A ) $ 2000 , B ) $ 2100 , C ) $ 2200 , D ) $ 2300 , E ) $ 2400", "input": "", "output": "", "answer": "A" }, { "instruction": "each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 94 % water by weight . what is the new weight of the cucumbers , in pounds ? The options: A ) 2 , B ) 16 , C ) 92 , D ) 96 , E ) 98", "input": "", "output": "", "answer": "B" }, { "instruction": "the average of 5 numbers is 6.8 . if one of the numbers is multiplied by a factor of 4 , the average of the numbers increases to 9.2 . what number is multiplied by 4 ? The options: A ) 1.5 , B ) 3.0 , C ) 3.9 , D ) 4.0 , E ) 6.0", "input": "", "output": "", "answer": "D" }, { "instruction": "in a party every person shakes hands with every other person . if there are 105 hands shakes , find the number of person in the party . The options: A ) 14 , B ) 12 , C ) 13 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "D" }, { "instruction": "the angle between the minute hand and the hour hand of a clock when the time is 10.30 , is The options: A ) 35 \u00b0 , B ) 65 \u00b0 , C ) 45 \u00b0 , D ) 135 \u00b0 , E ) 95 \u00b0", "input": "", "output": "", "answer": "D" }, { "instruction": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 5 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ? The options: A ) 20.5 , B ) 15 , C ) 25.5 , D ) 30 , E ) 60", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the last digit of 13 ^ 35 ? The options: A ) 5 , B ) 7 , C ) 6 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "x is the product of each integer from 1 to 25 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? The options: A ) 5 , B ) 4 , C ) 3 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "C" }, { "instruction": "a lawn is in the form of a rectangle having its sides in the ratio 2 : 3 . the area of the lawn is ( 1 / 6 ) hectares . find the length and breadth of the lawn . The options: ['A ) 50', 'B ) 30', 'C ) 20', 'D ) 40', 'E ) 10']", "input": "", "output": "", "answer": "A" }, { "instruction": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 10 hours a day , the number of men required ? The options: A ) 10 DAys , B ) 12 DAys , C ) 13 DAys , D ) 11 DAys , E ) 9 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 240 doctors and nurses at a hospital . if the ratio of doctors to nurses is 3 to 7 , how many nurses are at the hospital ? The options: A ) 168 , B ) 172 , C ) 176 , D ) 180 , E ) 184", "input": "", "output": "", "answer": "A" }, { "instruction": "what annual payment will discharge a debt of rs . 1125 due in 2 years at the rate of 5 % compound interest ? The options: A ) 993.2 , B ) 551.25 , C ) 534.33 , D ) 605.03 , E ) 646.33", "input": "", "output": "", "answer": "D" }, { "instruction": "abel can complete a work in 8 days , ben in 12 days and carla in 15 days . all of them began the work together , but abel had to leave after 2 days and ben 3 days before the completion of the work . how long did the work last ? The options: A ) 4 , B ) 7 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "A" }, { "instruction": "if x \u00a4 y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then \u221a 2 \u00a4 \u221a 2 = The options: A ) 0 , B ) 8 , C ) 10 , D ) 15 , E ) 20", "input": "", "output": "", "answer": "B" }, { "instruction": "jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 4 hours . how long would it take taimour to paint the fence alone ? The options: A ) 6 hours , B ) 8 hours , C ) 12 hours , D ) 24 hours , E ) 32 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "in the faculty of reverse - engineering , 100 second year students study numeric methods , 300 second year students study automatic control of airborne vehicles and 200 second year students study them both . how many students are there in the faculty if the second year students are approximately 40 % of the total ? The options: A ) 550 , B ) 500 , C ) 600 , D ) 650 , E ) 700", "input": "", "output": "", "answer": "B" }, { "instruction": "if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 9 inclusive ? The options: A ) 3 / 16 , B ) 5 / 16 , C ) 7 / 32 , D ) 11 / 32 , E ) 17 / 64", "input": "", "output": "", "answer": "B" }, { "instruction": "find \u221a ? / 20 = 4 ? The options: A ) 76 , B ) 6400 , C ) 304 , D ) 1296 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 45 kmph , find the speed of the stream ? The options: A ) 12 kmph , B ) 13 kmph , C ) 14 kmph , D ) 15 kmph , E ) 16 kmph", "input": "", "output": "", "answer": "D" }, { "instruction": "a box contains 14 pairs of shoes ( 28 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? The options: A ) 1 / 190 , B ) 1 / 20 , C ) 1 / 19 , D ) 1 / 27 , E ) 1 / 9", "input": "", "output": "", "answer": "D" }, { "instruction": "find the value of x from the below equation ? : x ^ 2 + 5 x + 4 = 0 The options: A ) 1 , B ) - 3 , C ) 3 , D ) 2 , E ) 0", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 1000 students in a school and among them 10 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ? The options: A ) 1 , B ) 10 , C ) 100 , D ) 50 , E ) 20", "input": "", "output": "", "answer": "B" }, { "instruction": "a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 20 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ? The options: A ) 45 % , B ) 40 % , C ) 35 % , D ) 30 % , E ) 25 %", "input": "", "output": "", "answer": "E" }, { "instruction": "a and b start walking towards each other at 4 pm at speed of 2 kmph and 3 kmph . they were initially 15 km apart . at what time do they meet ? The options: A ) 8 pm , B ) 6 pm , C ) 7 pm , D ) 10 pm , E ) 5 pm", "input": "", "output": "", "answer": "C" }, { "instruction": "each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 3 and the 24 can not be adjacent digits in the integer , how many 5 - digit integers are possible ? The options: A ) 48 , B ) 72 , C ) 76 , D ) 78 , E ) 90", "input": "", "output": "", "answer": "B" }, { "instruction": "in a certain parallelogram the degree measure of one angle exceeds that of the other by 20 what is the degree measure of the smaller angle ? The options: A ) 75 , B ) 80 , C ) 85 , D ) 90 , E ) 95", "input": "", "output": "", "answer": "B" }, { "instruction": "3 years ago , the average age of a , b and c was 27 years and that of b and c 5 years ago was 20 years . a \u2019 s present age is : The options: A ) 22 , B ) 88 , C ) 40 , D ) 87 , E ) 17", "input": "", "output": "", "answer": "C" }, { "instruction": "a is thrice as good as workman as b and therefore is able to finish a job in 60 days less than b . working together , they can do it in : The options: A ) 20 DAys , B ) 22 1 / 2 DAys , C ) 24 DAys , D ) 25 DAys , E ) 30 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the difference between the largest number and the least number written with the figures 3 , 4 , 7 , 0 , 3 ? The options: A ) 70983 , B ) 43893 , C ) 43983 , D ) 43883 , E ) 43823", "input": "", "output": "", "answer": "C" }, { "instruction": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 120 m is ? The options: A ) 286 m , B ) 180 m , C ) 200 m , D ) 166 m , E ) 187 m", "input": "", "output": "", "answer": "B" }, { "instruction": "a cube of side one meter length is cut into small cubes of side 20 cm each . how many such small cubes can be obtained ? The options: A ) 2878 , B ) 2778 , C ) 1000 , D ) 120 , E ) 125", "input": "", "output": "", "answer": "E" }, { "instruction": "the average of 5 consecutive even numbers a , b , c , d and e is 20 . what percent of e is d ? The options: A ) 90.1 , B ) 91.7 , C ) 97.1 , D ) 101.1 , E ) 107.1", "input": "", "output": "", "answer": "B" }, { "instruction": "the length of rectangle is thrice its breadth and its perimeter is 72 m , find the area of the rectangle ? The options: A ) 432 , B ) 212 , C ) 243 , D ) 992 , E ) 212", "input": "", "output": "", "answer": "C" }, { "instruction": "there are 5 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed . The options: A ) 19 , B ) 20 , C ) 30 , D ) 32 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "if m is a positive integer and m ^ 2 is divisible by 36 , then the largest positive integer that must divide m is ? The options: A ) 3 , B ) 6 , C ) 8 , D ) 12 , E ) 16", "input": "", "output": "", "answer": "D" }, { "instruction": "a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 10 % . their gross income from sales for one month decreases by what percent ? The options: A ) 1 % , B ) 3 % , C ) 5 % , D ) 7 % , E ) 9 %", "input": "", "output": "", "answer": "A" }, { "instruction": "how many multiples of 2 are less than 2400 , and also multiples of 8 ? The options: A ) 104 , B ) 208 , C ) 300 , D ) 832 , E ) 833", "input": "", "output": "", "answer": "C" }, { "instruction": "on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price per f glass on the second day ? The options: A ) $ 015 , B ) $ 0.20 , C ) $ 0.30 , D ) $ 0.40 , E ) $ 0.45", "input": "", "output": "", "answer": "D" }, { "instruction": "in what time will a train 110 m long cross an electric pole , it its speed be 128 km / hr ? The options: A ) 2.5 sEC , B ) 2.9 sEC , C ) 3.1 sEC , D ) 8.7 sEC , E ) 8.5 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the smallest positive perfect square that is divisible by 9 , 21 , and 49 ? The options: A ) 225 , B ) 324 , C ) 441 , D ) 529 , E ) 900", "input": "", "output": "", "answer": "C" }, { "instruction": "two trains 160 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ? The options: A ) 10.52 sEC , B ) 18.8 sEC , C ) 14.52 sEC , D ) 10.8 sEC , E ) 11.52 sEC", "input": "", "output": "", "answer": "E" }, { "instruction": "assume all pieces of rope are equal . if 44 pieces of rope measure a feet , how long would b pieces of rope be in inches ? The options: A ) 44 / AB , B ) 11 / 3 AB , C ) 6 / 11 AB , D ) AB / 44 , E ) 3 AB / 11", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the compound interest on rs : 70,000 for 4 months at the rate of 5 % per annum The options: A ) 1171.98 , B ) 1172.98 , C ) 1173.98 , D ) 1174.98 , E ) 1175.98", "input": "", "output": "", "answer": "C" }, { "instruction": "two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 48 kmph respectively . in how much time will they cross each other , if they are running in the same direction ? The options: A ) 72 sEC , B ) 132 sEC , C ) 157.5 sEC , D ) 252 sEC , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 10 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 10 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage . The options: A ) 20 % , B ) 21 % , C ) 21.33 % , D ) 22.109 % , E ) 23 %", "input": "", "output": "", "answer": "B" }, { "instruction": "if the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is ? The options: A ) 26 , B ) 28 , C ) 17 , D ) 12 , E ) 88", "input": "", "output": "", "answer": "A" }, { "instruction": "18800 / 470 / 20 The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "in the seaside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? The options: A ) 50 . , B ) 45 . , C ) 40 . , D ) 30 . , E ) 25 .", "input": "", "output": "", "answer": "A" }, { "instruction": "the average price of 3 items of furniture is rs . 15000 . if their prices are in the ratio 2 : 4 : 8 , the price of the cheapest item is ? The options: A ) 2379 , B ) 2889 , C ) 5625 , D ) 9000 , E ) 28311", "input": "", "output": "", "answer": "C" }, { "instruction": "at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 38 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 42 km / h . if the distance between city p and city q is 378 km , at what time will the truck and the car meet each other ? The options: A ) 5 : 30 , B ) 5 : 45 , C ) 6 : 00 , D ) 6 : 15 , E ) 6 : 30", "input": "", "output": "", "answer": "D" }, { "instruction": "0.05 x 0.03 = ? The options: A ) 0.00015 , B ) 0.015 , C ) 0.0015 , D ) 0.15 , E ) 1.5", "input": "", "output": "", "answer": "C" }, { "instruction": "when 1 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? The options: A ) 30 , B ) 81 , C ) 60 , D ) 27 , E ) 11", "input": "", "output": "", "answer": "A" }, { "instruction": "in a group of 15 people , 8 read english , 7 read french while 3 of them read none of these two . how many of them read french and english both ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 7 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is ? The options: A ) 50 km , B ) 16 km , C ) 18 km , D ) 29 km , E ) 19 km", "input": "", "output": "", "answer": "A" }, { "instruction": "sum of 36 odd numbers is ? The options: A ) 1294 , B ) 1295 , C ) 1296 , D ) 1297 , E ) 1298", "input": "", "output": "", "answer": "C" }, { "instruction": "15 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? The options: A ) 190 , B ) 200 , C ) 210 , D ) 220 , E ) 225", "input": "", "output": "", "answer": "C" }, { "instruction": "the height of the wall is 6 times its width and length of the wall is 8 times its height . if the volume of the wall be 36000 cu . m . its width is The options: A ) 4 m , B ) 5 m , C ) 6 m , D ) 7 m , E ) 8 m", "input": "", "output": "", "answer": "B" }, { "instruction": "one - third of 600 is what percent of 120 ? The options: A ) 313.2 , B ) 30.1 , C ) 12.24 , D ) nonE oF thEsE , E ) 166.6", "input": "", "output": "", "answer": "E" }, { "instruction": "how many diagonals does a 58 - sided convex polygon have ? The options: A ) 870 , B ) 1125 , C ) 1595 , D ) 2560 , E ) 3190", "input": "", "output": "", "answer": "C" }, { "instruction": "a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 545 pounds after processing , how many pounds did it weigh before processing ? The options: A ) 191 , B ) 355 , C ) 737 , D ) 838 , E ) 1,560", "input": "", "output": "", "answer": "D" }, { "instruction": "miller street begins at baker street and runs directly east for 4.5 kilometers until it ends when it meets turner street . miller street is intersected every 250 meters by a perpendicular street , and each of those streets other than baker street and turner street is given a number beginning at 1 st street ( one block east of baker street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of turner street . what is the highest - numbered street that intersects miller street ? The options: A ) 15 th , B ) 16 th , C ) 17 th , D ) 18 th , E ) 19 th", "input": "", "output": "", "answer": "C" }, { "instruction": "the pressure someone experiences as he or she dives deeper and deeper in the ocean increases linearly . on the surface , the pressure is close to 15 pounds per square inch . 33 feet below the surface , the pressure is 30 pounds . if 25000 pounds per sq inch can crush your bones , what depth is extremely dangerous for humans ? The options: ['A ) 55522 FEEt', 'B ) 45522 FEEt', 'C ) 35522 FEEt', 'D ) 25522 FEEt', 'E ) nonE']", "input": "", "output": "", "answer": "A" }, { "instruction": "in a class total 34 students , 16 are have a brother , 15 are have sisters , 9 students do n ' t have either brothers or sisters . find the number of students having both brother and sisters . The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "find the area of a parallelogram with base 26 cm and height 12 cm ? The options: A ) 281 , B ) 284 , C ) 288 , D ) 255 , E ) 312", "input": "", "output": "", "answer": "E" }, { "instruction": "let f ( x ) = x ^ 2 + bx + c . if f ( 3 ) = 0 and f ( - 3 ) = 0 , then b + c = The options: A ) 18 , B ) 15 , C ) - 15 , D ) - 21 , E ) - 9", "input": "", "output": "", "answer": "E" }, { "instruction": "a can do a piece of work in 90 days & y can do it in 80 days . they began working together but a leaves after some days and then b completed the remaining work in 46 days . the number of days after which a left the work was ? The options: A ) 12 DAys , B ) 18 DAys , C ) 16 DAys , D ) 19 DAys , E ) 21 DAys", "input": "", "output": "", "answer": "C" }, { "instruction": "two numbers are less than a third number by 40 % and 47 % respectively . how much per cent is the second number less than the first ? The options: A ) 95 % , B ) 88 % , C ) 85 % , D ) 90 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "by selling 10 pencils for a rupee a man loses 25 % . how many for a rupee should he sell in order to gain 25 % ? The options: A ) 6 , B ) 9 , C ) 10 , D ) 89 , E ) 81", "input": "", "output": "", "answer": "A" }, { "instruction": "1 / 0.05 is equal to The options: A ) 25.5 , B ) 2.5 , C ) 25 , D ) 20 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "amit and ananthu can do a work in 15 days and 60 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ? The options: A ) 38 DAys , B ) 40 DAys , C ) 43 DAys , D ) 45 DAys , E ) 51 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "yesterday it took robert 4 hours to drive from city a to city b . today it took robert 2.5 hours to drive back from city \u0432 to city a along the same route . if he had saved 15 minutes in both trips , the speed for the round trip would be 70 miles per hour . what is the distance between city a and city b ? The options: A ) 90 , B ) 120 , C ) 150 , D ) 210 , E ) 300", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b together can do a work in 7 days . if a alone can do it in 56 days . in how many days can b alone do it ? The options: A ) 11 , B ) 8 , C ) 21 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "shahrukh starts from barabanki to fatehpur , 1 hour after ajay starts . shahrukh meets kajol 1.5 hours after shahrukh starts . if the speed of shahrukh is at least 20 km / h faster than the speed of kajol . what is the minimum speed of shahrukh to overtake ajay , before he meets kajol ? The options: A ) 32 , B ) 21 , C ) 27 , D ) nonE oF thEsE , E ) 18", "input": "", "output": "", "answer": "D" }, { "instruction": "a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ? The options: A ) 8.5 gAllons , B ) 9 gAllons , C ) 6.5 gAllons , D ) 5.5 gAllons , E ) 6 gAllons", "input": "", "output": "", "answer": "B" }, { "instruction": "a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ? The options: A ) 34 , B ) 40 , C ) 68 , D ) 88 , E ) 98", "input": "", "output": "", "answer": "D" }, { "instruction": "the average salary of all the workers in a workshop is rs . 8000 . the average salary of 9 technicians is rs . 18000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : The options: A ) 22 , B ) 54 , C ) 88 , D ) 37 , E ) 29", "input": "", "output": "", "answer": "B" }, { "instruction": "find the sum of first 70 odd numbers The options: A ) 4900 , B ) 4970 , C ) 4990 , D ) 4980 , E ) 4960", "input": "", "output": "", "answer": "A" }, { "instruction": "a shopkeeper sold an book offering a discount of 5 % and earned a profit of 25 % . what would have been the percentage of profit earned if no discount was offered ? The options: A ) 131.6 , B ) 120 , C ) 130 , D ) 110 , E ) 150", "input": "", "output": "", "answer": "A" }, { "instruction": "the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length q of a cube whose surface area is equal to 6 z ? The options: A ) q = 16 , B ) q = 8 \u221a 2 , C ) q = 8 , D ) q = 2 \u221a 2 , E ) ( \u221a 2 ) / 3", "input": "", "output": "", "answer": "D" }, { "instruction": "find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 10 of money ? The options: A ) 1500 , B ) 1992 , C ) 9921 , D ) 1000 , E ) 2789", "input": "", "output": "", "answer": "D" }, { "instruction": "5 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? The options: A ) 0.004 , B ) 0.1388 , C ) 2.775 , D ) 3.6036 , E ) 36.036", "input": "", "output": "", "answer": "B" }, { "instruction": "a room is 7 meters 68 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . The options: A ) 107 , B ) 144 , C ) 175 , D ) 165 , E ) 130", "input": "", "output": "", "answer": "B" }, { "instruction": "there is enough provisions for 600 men in an army camp for 25 days . if there were 300 men less , how long will the provision last ? The options: A ) 35 DAys , B ) 40 DAys , C ) 45 DAys , D ) 50 DAys , E ) 55 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "two cars start from the opposite places of a main road , 140 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 35 km along the main road . what would be the distance between two cars at this point ? The options: A ) 65 , B ) 38 , C ) 20 , D ) 55 , E ) 21", "input": "", "output": "", "answer": "D" }, { "instruction": "1 \u00f7 [ 1 + 1 \u00f7 { 1 + 1 \u00f7 ( 1 \u00f7 1 ) } ] = ? The options: A ) 5 / 3 , B ) 4 / 3 , C ) 2 / 3 , D ) 1 / 3 , E ) 1 / 5", "input": "", "output": "", "answer": "C" }, { "instruction": "in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 15 and 150 , then the least and greatest integer on the card would be The options: A ) 3 AnD 15 , B ) 3 AnD 20 , C ) 4 AnD 12 , D ) 4 AnD 14 , E ) 5 AnD 14", "input": "", "output": "", "answer": "C" }, { "instruction": "john had a stock of 1000 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ? The options: A ) 59.8 % , B ) 23.8 % , C ) 66.5 % , D ) 34.9 % , E ) 43.5 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a line that passes through ( \u2013 1 , \u2013 4 ) and ( 2 , k ) has a slope = k . what is the value of k ? The options: A ) 3 / 4 , B ) 1 , C ) 4 / 3 , D ) 2 , E ) 7 / 2", "input": "", "output": "", "answer": "D" }, { "instruction": "p , q and r have $ 8000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? The options: A ) 2400 , B ) 2403 , C ) 3200 , D ) 2539 , E ) 1930", "input": "", "output": "", "answer": "C" }, { "instruction": "a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes bil can make using this recipe ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "of the 3,600 employees of company x , 16 / 25 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ? The options: A ) 57 % , B ) 22.2 % , C ) 20 % , D ) 12.5 % , E ) 11.1 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the difference between two numbers is 1365 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is The options: A ) 240 , B ) 250 , C ) 260 , D ) 270 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of present age of abe and the age before 7 years is 33 . find the present age of abe . what will be his age after 7 years ? The options: A ) 25 , B ) 26 , C ) 27 , D ) 28 , E ) 29", "input": "", "output": "", "answer": "C" }, { "instruction": "if 100 < x < 199 and 9 < y < 100 , then the product xy can not be equal to : The options: A ) 19,104 , B ) 19,303 , C ) 19 , 956.732 , D ) 19,502 , E ) 19,809", "input": "", "output": "", "answer": "C" }, { "instruction": "positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 9 . what is the value of x ? The options: A ) 20 , B ) 60 , C ) 100 , D ) 120 , E ) 150", "input": "", "output": "", "answer": "B" }, { "instruction": "a train running at a speed of 60 kmph crosses a pole in 18 seconds . what is the length of the train ? The options: A ) 120 m , B ) 300 m , C ) 190 m , D ) 150 m , E ) 160 m", "input": "", "output": "", "answer": "B" }, { "instruction": "a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x \u2013 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number w of people surveyed by the company ? The options: A ) 46 , B ) 80 , C ) w . 90 , D ) w . 100 , E ) 200", "input": "", "output": "", "answer": "D" }, { "instruction": "when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of t ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "A" }, { "instruction": "the average earning of a person for the first 4 days of a week is rs 18 and for the last 4 days is rs 22 . if he earns rs 20 on the fourth day , his average earning for the whole week is ? The options: A ) rs 18.95 , B ) rs 16 , C ) rs 20 , D ) rs 25.71 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "mary can do a piece of work in 12 days . rosy is 50 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 11 , E ) 10", "input": "", "output": "", "answer": "B" }, { "instruction": "the largest 3 digit number exactly divisible by 88 is ? The options: A ) A ) 9944 , B ) B ) 9954 , C ) C ) 9967 , D ) D ) 9969 , E ) E ) 9970", "input": "", "output": "", "answer": "A" }, { "instruction": "points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ? The options: A ) 1 / 9 , B ) 1 / 8 , C ) 1 / 6 , D ) 1 / 5 , E ) 1 / 3", "input": "", "output": "", "answer": "A" }, { "instruction": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 174 , how many hours overtime did he work ? The options: A ) 8 , B ) 5 , C ) 9 , D ) 6 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "the price of rice falls by 25 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ? The options: A ) 5 kg , B ) 15 kg , C ) 26.67 kg , D ) 30 kg , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "in plutarch enterprises , 70 % of the employees are marketers , 10 % are engineers , and the rest are managers . marketers make an average salary of $ 50000 a year , and engineers make an average of $ 80000 . what is the average salary for managers if the average for all employees is also $ 80000 ? The options: A ) $ 80,000 , B ) $ 130,000 , C ) $ 240,000 , D ) $ 370,000 , E ) $ 320,000", "input": "", "output": "", "answer": "D" }, { "instruction": "john purchased 1370 large bottles at $ 1.99 per bottle and 690 small bottles at $ 1.50 per bottle . what was the approximate average price paid per bottle ? The options: A ) $ 1.63 , B ) $ 1.64 , C ) $ 1.68 , D ) $ 1.72 , E ) $ 1.83", "input": "", "output": "", "answer": "E" }, { "instruction": "find the ratio in which rice at rs . 7.30 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg The options: A ) 2 : 0 , B ) 2 : 3 , C ) 3 : 5 , D ) 2 : 2 , E ) 2 : 8", "input": "", "output": "", "answer": "C" }, { "instruction": "3 different containers contain 50 litres , 100 litres and 150 litres of mixture of milk and water respectively . what is the biggest measure can measure all the different quantities exactly ? The options: A ) 120 litrEs , B ) 57 litrEs , C ) 60 litrEs , D ) 50 litrEs , E ) 100 litrEs", "input": "", "output": "", "answer": "D" }, { "instruction": "2034 - ( 1002 / 20.04 ) = ? The options: A ) 2984 , B ) 2983 , C ) 2982 , D ) 2981 , E ) 1984", "input": "", "output": "", "answer": "E" }, { "instruction": "x , y , and z are all unique numbers . if x is chosen randomly from the set { 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ? The options: A ) 1 / 5 , B ) 3 / 20 , C ) 1 / 8 , D ) 3 / 10 , E ) 1 / 10", "input": "", "output": "", "answer": "C" }, { "instruction": "marty ' s pizza shop guarantees that their pizzas all have at least 75 % of the surface area covered with toppings , with a crust of uniform width surrounding them . if you order their best seller \u2013 a circular pizza with a diameter of 16 inches \u2013 what is the maximum width you can expect to see for the crust ? The options: ['A ) 0.8 inChEs', 'B ) 1.1 inChEs', 'C ) 1.6 inChEs', 'D ) 2.0 inChEs', 'E ) 2.5 inChEs']", "input": "", "output": "", "answer": "B" }, { "instruction": "compute all real solutions to 16 x + 4 x + 1 - 96 = 0 The options: A ) 3 / 2 , B ) 3 / 3 , C ) 2 / 4 , D ) 4 / 4 , E ) 4 / 5", "input": "", "output": "", "answer": "A" }, { "instruction": "virginia , adrienne , and dennis have taught history for a combined total of 87 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ? The options: A ) 23 , B ) 32 , C ) 38 , D ) 41 , E ) 44", "input": "", "output": "", "answer": "C" }, { "instruction": "the edges of a cuboid are 4 cm , 5 cm and 7 cm . find the volume of the cuboid ? The options: A ) 140 , B ) 278 , C ) 378 , D ) 368 , E ) 367", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ? The options: A ) 567 , B ) 850 , C ) 560 , D ) 923 , E ) 240", "input": "", "output": "", "answer": "D" }, { "instruction": "the population of a town is 10000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ? The options: A ) 6400 , B ) 4500 , C ) 5120 , D ) 5230 , E ) 5366", "input": "", "output": "", "answer": "A" }, { "instruction": "in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ? The options: A ) 16 , B ) 20 , C ) 24 , D ) 25 , E ) 30", "input": "", "output": "", "answer": "B" }, { "instruction": "each person in a group of 110 investors has investments in either equities or securities or both . exactly 25 of the investors in equities have investments in securities , and exactly 40 of the investors in securities have investments in equities . how many have investments in equities ? The options: A ) 65 , B ) 80 , C ) 120 , D ) 180 , E ) 190", "input": "", "output": "", "answer": "B" }, { "instruction": "the area of a triangle will be when a = 1 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? The options: A ) 2 , B ) 7 , C ) 5 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain number of two digits is 3 times the sum of its digits and if 45 be added to it , the degits are reversed . the number is . The options: A ) 23 , B ) 27 , C ) 32 , D ) 72 , E ) 46", "input": "", "output": "", "answer": "B" }, { "instruction": "steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ? The options: A ) 60 mph , B ) 56.67 mph , C ) 53.33 mph , D ) 62 mph , E ) 66.67 mph", "input": "", "output": "", "answer": "D" }, { "instruction": "tom , working alone , can paint a room in 16 hours . peter and john , working independently , can paint the same room in 8 hours and 4 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ? The options: A ) 4 / 7 , B ) 5 / 7 , C ) 2 / 7 , D ) 1 / 7 , E ) 3 / 7", "input": "", "output": "", "answer": "E" }, { "instruction": "an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had . The options: A ) 90 , B ) 100 , C ) 110 , D ) 120 , E ) 130", "input": "", "output": "", "answer": "B" }, { "instruction": "find the distance covered by a man walking for 10 min at a speed of 6 km / hr ? The options: A ) 1 km , B ) 2 km , C ) 3 km , D ) 1.5 km , E ) 4 km", "input": "", "output": "", "answer": "A" }, { "instruction": "in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 15 , what is the greatest possible value of b x a ? The options: A ) 0 , B ) 15 , C ) 25 , D ) 30 , E ) 35", "input": "", "output": "", "answer": "E" }, { "instruction": "let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 79 th number in this set ? The options: A ) 605 , B ) 608 , C ) 613 , D ) 616 , E ) 629", "input": "", "output": "", "answer": "E" }, { "instruction": "the area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is ? The options: A ) 8.78 , B ) 8.67 , C ) 8.75 , D ) 8.98 , E ) 9", "input": "", "output": "", "answer": "E" }, { "instruction": "when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 1 ) ^ 2 is divided by 5 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "B" }, { "instruction": "when tom works alone he chops 3 lb . salad in 2 minutes , and when tammy works alone she chops 2 lb . salad in 3 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tom is what percent greater than the quantifying chopped by tommy ? . The options: A ) 44 % , B ) 100 % , C ) 125 % , D ) 225 % , E ) 400 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the speed at which a man can row a boat in still water is 21 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 90 metres ? The options: A ) 23.46 , B ) 27.46 , C ) 28.46 , D ) 12.46 , E ) 25.46", "input": "", "output": "", "answer": "D" }, { "instruction": "if a man lost 4 % by selling oranges at the rate of 48 a rupee at how many a rupee must he sell them to gain 44 % ? The options: A ) 1 , B ) 8 , C ) 9 , D ) 4 , E ) 32", "input": "", "output": "", "answer": "E" }, { "instruction": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 28 metre of cloth ? The options: A ) 175 sEConDs , B ) 219 sEConDs , C ) 155 sEConDs , D ) 115 sEConDs , E ) 115 sEConDs", "input": "", "output": "", "answer": "B" }, { "instruction": "the radius of a circular wheel is 1.75 m , how many revolutions will it make in traveling 1 km ? The options: ['A ) 1000', 'B ) 2788', 'C ) 2677', 'D ) 2899', 'E ) 2771']", "input": "", "output": "", "answer": "A" }, { "instruction": "a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 4.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ? The options: A ) 6 % . , B ) 7.7 % . , C ) 9.2 % . , D ) 10.5 % . , E ) 11 % .", "input": "", "output": "", "answer": "B" }, { "instruction": "if the radius of a cylinder is doubled and so is the height , what is the new volume of the cylinder divided by the old one ? The options: ['A ) 8 .', 'B ) 2', 'C ) 6', 'D ) 4', 'E ) 10']", "input": "", "output": "", "answer": "A" }, { "instruction": "how many odd prime numbers are there less than 100 ? The options: A ) 78 , B ) 5 , C ) 24 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "C" }, { "instruction": "the average of first six multiples of 3 is The options: A ) 10.5 , B ) 6 , C ) 9 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "A" }, { "instruction": "the product of two numbers is 192 and the sum of these two numbers is 28 . what is the smaller of these two numbers ? The options: A ) 10 , B ) 12 , C ) 14 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "B" }, { "instruction": "oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 9 feet long , 8 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ? The options: ['A ) 60', 'B ) 70', 'C ) 80', 'D ) 90', 'E ) 100']", "input": "", "output": "", "answer": "D" }, { "instruction": "a trader purchased two colour televisions for a total of rs . 35000 . he sold one colour television at 30 % profit and the other 40 % profit . find the difference in the cost prices of the two televisions if he made an overall profit of 30 % ? The options: A ) rs . 28985 , B ) rs . 40985 , C ) rs . 20985 , D ) rs . 21000 , E ) rs . 30985", "input": "", "output": "", "answer": "C" }, { "instruction": "the speed of a boat in still water in 37 km / hr and the rate of current is 13 km / hr . the distance travelled downstream in 10 minutes is : The options: A ) 10.44 km , B ) 10.6 km , C ) 11.4 km , D ) 11.22 km , E ) 8.33 km", "input": "", "output": "", "answer": "E" }, { "instruction": "a train 600 m long can cross an electric pole in 20 sec and then find the speed of the train ? The options: A ) 76 kmph , B ) 108 kmph , C ) 72 kmph , D ) 34 kmph , E ) 91 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "the average of 30 numbers is 25 . if each number is multiplied by 5 , find the new average ? The options: A ) 115 , B ) 125 , C ) 135 , D ) 145 , E ) 155", "input": "", "output": "", "answer": "B" }, { "instruction": "\u221a ( 21 ) ^ 2 The options: A ) 7 , B ) 14 , C ) 49 , D ) 21 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 798 find the share of a . The options: A ) 240 , B ) 388 , C ) 379 , D ) 304 , E ) 122", "input": "", "output": "", "answer": "D" }, { "instruction": "an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 68 $ per share , if she sells 300 shares altogether , some of each stock , at an average price per share of 40 $ , how many shares of dynaco stock has she sold ? The options: A ) 52 , B ) 37.5 , C ) 92 , D ) 136 , E ) 184", "input": "", "output": "", "answer": "B" }, { "instruction": "the speed of a boat in still water is 15 km / hr and the rate of the current is 3 km / hr . the distance travelled downstream in 12 minutes is The options: A ) 1.2 km , B ) 1.8 km , C ) 2.4 km , D ) 3.6 km , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain animal in the zoo has consumed 39 pounds of food in 6 days . if it continues to eat at the same rate , in how many more days will its total consumption be 117 pounds ? The options: A ) 8 , B ) 7 , C ) 12 , D ) 9 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of a rectangular floor is more than its breadth by 200 % . if rs . 441 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ? The options: A ) 12 , B ) 18 , C ) 20 , D ) 21 , E ) 24", "input": "", "output": "", "answer": "D" }, { "instruction": "in a class of 42 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? The options: A ) 1 , B ) 5 , C ) 8 , D ) 13 , E ) 15", "input": "", "output": "", "answer": "A" }, { "instruction": "a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ? The options: A ) 7 , B ) 8 , C ) 6 , D ) 5 , E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "find the number which is nearest to 3105 and is exactly divisible by 21 ? The options: A ) 3100 , B ) 2500 , C ) 2545 , D ) 5800 , E ) 3108", "input": "", "output": "", "answer": "E" }, { "instruction": "the lengths of the diagonals of a rhombus are 20 and 48 meters . find the perimeter of the rhombus ? The options: ['A ) 150 mErtErs', 'B ) 125 mEtErs', 'C ) 96 mEtErs', 'D ) 104 mEtErs', 'E ) 152 mEtErs']", "input": "", "output": "", "answer": "D" }, { "instruction": "cp of 3 buffaloes are $ 30,000 . by selling 1 at a loss of 15 % and other at a profit of 19 % , he foundthat sp of both buffaloes is the same . find the cp of each ? The options: A ) $ 10,500 , B ) $ 11,500 , C ) $ 11,600 , D ) $ 12,100 , E ) $ 12,500", "input": "", "output": "", "answer": "E" }, { "instruction": "a courtyard is 21 meter long and 14 meter board is to be paved with bricks of dimensions 14 cm by 8 cm . the total number of bricks required is : The options: A ) 16000 , B ) 18000 , C ) 20000 , D ) 26250 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "the average age of students of a class is 15.8 years . the average age of boys in the class is 16.3 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ? The options: A ) 2 : 6 , B ) 2 : 3 , C ) 4 : 5 , D ) 2 : 1 , E ) 2 : 4", "input": "", "output": "", "answer": "C" }, { "instruction": "if a ( a - 8 ) = 9 and b ( b - 8 ) = 9 , where a \u2260 b , then a + b = The options: A ) \u2212 48 , B ) \u2212 2 , C ) 8 , D ) 9 , E ) 48", "input": "", "output": "", "answer": "C" }, { "instruction": "how many positive integers less than 253 are multiple of 4 but not multiples of 6 ? The options: A ) 20 , B ) 41 , C ) 42 , D ) 53 , E ) 64", "input": "", "output": "", "answer": "B" }, { "instruction": "two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 4 carpenters build in 2 hours ? The options: A ) 2.4 . , B ) 3.2 . , C ) 4.2 . , D ) 5.5 . , E ) 6.4", "input": "", "output": "", "answer": "B" }, { "instruction": "a is twice as good a work man as b and together they finish a piece of work in 14 days . the number of days taken by a alone to finish the work is : The options: A ) 11 , B ) 21 , C ) 28 , D ) 42 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "one night a certain hotel rented 2 / 5 of its rooms , including 2 / 3 of their air conditioned rooms . if 3 / 5 of its rooms were air conditioned , what percent of the rooms that were not rented were air conditioned ? The options: A ) 20 % , B ) 25 % , C ) 33 % , D ) 36 % , E ) 40 %", "input": "", "output": "", "answer": "C" }, { "instruction": "johnny travels a total of one hour to and from school . on the way there he jogs at 6 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour . how far is it to the school ? The options: A ) 2 milEs , B ) 4 milEs , C ) 4.8 milEs , D ) 9.2 milEs , E ) 10 milEs", "input": "", "output": "", "answer": "D" }, { "instruction": "a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? The options: A ) 12 : 8 , B ) 8 : 16 , C ) 9 : 16 , D ) 8 : 12 , E ) 16 : 9", "input": "", "output": "", "answer": "C" }, { "instruction": "during the first two weeks of june , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall in inches during the second week of june ? The options: A ) 15 , B ) 18 , C ) 21 , D ) 24 , E ) 27", "input": "", "output": "", "answer": "D" }, { "instruction": "the owner of a furniture shop charges his customer 18 % more than the cost price . if a customer paid rs . 6000 for a computer table , then what was the cost price of the computer table ? The options: A ) rs . 6289 , B ) rs . 6298 , C ) rs . 6290 , D ) rs . 5084 , E ) rs . 6708", "input": "", "output": "", "answer": "D" }, { "instruction": "find the simple interest on $ 10000 at 7 % per annum for 12 months ? The options: A ) $ 410 , B ) $ 500 , C ) $ 650 , D ) $ 700 , E ) $ 1000", "input": "", "output": "", "answer": "D" }, { "instruction": "two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days . the number of days required by 1 man to complete the work is The options: A ) 60 DAys , B ) 15 DAys , C ) 6 DAys , D ) 51 DAys , E ) 50 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 15 % . what was its profit on the items sold in february ? The options: A ) 27.5 % , B ) 30 % , C ) 35 % , D ) 37.5 % , E ) 40 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the total surface area of a solid hemisphere of diameter 14 cm , is : The options: ['A ) 462 Cm \u00b2', 'B ) 530 Cm \u00b2', 'C ) 1345 Cm \u00b2', 'D ) 1788 Cm \u00b2', 'E ) nonE']", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain company \u2019 s profit in 1996 was 25 percent greater than its profit in 1995 , and its profit in 1997 was 30 percent greater than its profit in 1996 . the company \u2019 s profit in 1997 was what percent greater than its profit in 1995 ? The options: A ) 5 % , B ) 62.5 % , C ) 33 % , D ) 35 % , E ) 38 %", "input": "", "output": "", "answer": "B" }, { "instruction": "15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ? The options: A ) A : 45 , B ) B : 25 , C ) C : 37.5 , D ) D : 36 , E ) E : 42", "input": "", "output": "", "answer": "C" }, { "instruction": "after decreasing 90 % in the price of an article costs rs . 320 . find the actual cost of an article ? The options: A ) 2777 , B ) 2987 , C ) 3200 , D ) 9977 , E ) 1671", "input": "", "output": "", "answer": "C" }, { "instruction": "the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? The options: A ) 76 , B ) 88 , C ) 66 , D ) 55 , E ) 35", "input": "", "output": "", "answer": "D" }, { "instruction": "what will be the fraction of 50 % The options: A ) 1 / 4 , B ) 1 / 5 , C ) 1 / 10 , D ) 1 / 8 , E ) nonE oF ABovE", "input": "", "output": "", "answer": "E" }, { "instruction": "if 0.45 : x : : 4 : 2 , then x is equal to The options: A ) 0.225 , B ) 0.228 , C ) 0.254 , D ) 0.256 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability e that both selected dogs are not littermates ? The options: A ) 1 / 6 , B ) 2 / 9 , C ) 5 / 6 , D ) 7 / 9 , E ) 8 / 9", "input": "", "output": "", "answer": "C" }, { "instruction": "if 0.75 : x : : 5 : 12 , then x is equal to : The options: A ) 1.12 , B ) 1.16 , C ) 1.8 , D ) 1.3 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "the average age of 32 students in a group is 14 years . when teacher \u00e2 \u20ac \u2122 s age is included to it , the average increases by one . what is the teacher \u00e2 \u20ac \u2122 s age in years ? The options: A ) 31 , B ) 36 , C ) 47 , D ) 51 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "two employees x and y are paid a total of rs . 650 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? The options: A ) s . 200.45 , B ) s . 250.45 , C ) s . 295.45 , D ) s . 300.45 , E ) s . 310.45", "input": "", "output": "", "answer": "C" }, { "instruction": "the average speed of a car is 1 3 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ? The options: A ) 400 km , B ) 320 km , C ) 360 km , D ) 550 km , E ) 600 km", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? The options: A ) 340 , B ) 380 , C ) 472 , D ) 528 , E ) 630", "input": "", "output": "", "answer": "D" }, { "instruction": "which number need to add to 859622 to get a number exactly divisible by 456 ? The options: A ) 456456 , B ) 576834 , C ) 562783 , D ) 634567 , E ) 859622", "input": "", "output": "", "answer": "E" }, { "instruction": "in a factory , there are 40 % technicians and 60 % non - technicians . if the 60 % of the technicians and 40 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ? The options: A ) 62 % , B ) 57 % , C ) 52 % , D ) 22 % , E ) 42 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a can do a work in 8 days . b can do the same work in 4 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ? The options: A ) 600,400 , B ) 500,500 , C ) 400,200 , D ) 800,200 , E ) 550,450", "input": "", "output": "", "answer": "C" }, { "instruction": "harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg . how much amount did he pay to the shopkeeper ? The options: A ) A ) 1235 , B ) B ) 1055 , C ) C ) 1065 , D ) D ) 1075 , E ) E ) 1080", "input": "", "output": "", "answer": "A" }, { "instruction": "if the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters , what is the length of the rectangle , in centimeters ? The options: A ) 4 , B ) 8 , C ) 11 , D ) 16 , E ) 18", "input": "", "output": "", "answer": "C" }, { "instruction": "tanks p and b are each in the shape of a right circular cylinder . the interior of tank p has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank p is what percent of the capacity of tank b ? The options: ['A ) 75 %', 'B ) 80 %', 'C ) 100 %', 'D ) 120 %', 'E ) 125 %']", "input": "", "output": "", "answer": "B" }, { "instruction": "x and y are both integers . if x / y = 59.40 , then what is the sum of all the possible two digit remainders of x / y ? The options: A ) 450 , B ) 616 , C ) 672 , D ) 900 , E ) 1024", "input": "", "output": "", "answer": "A" }, { "instruction": "last month , john rejected 0.5 % of the products that he inspected and jane rejected 1.00 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ? The options: A ) 1 / 6 , B ) 1 / 2 , C ) 5 / 8 , D ) 5 / 4 , E ) 15 / 16", "input": "", "output": "", "answer": "D" }, { "instruction": "what quantity of water should be added to reduce 20 liters of 80 % acidic liquid to 20 % acidic liquid ? The options: A ) 30 litErs , B ) 50 litErs , C ) 60 litErs , D ) 70 litErs , E ) 80 litErs", "input": "", "output": "", "answer": "C" }, { "instruction": "if the compound interest on a certain sum of money for 5 years at 10 % per annum be rs . 993 , what would be the simple interest ? The options: A ) rs . 1500 , B ) rs . 890 , C ) rs . 895 , D ) rs . 900 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "the percentage profit earned by selling an article for rs . 1620 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ? The options: A ) 3000 , B ) 1812.5 , C ) 2000 , D ) 5600 , E ) 3400", "input": "", "output": "", "answer": "B" }, { "instruction": "a trader bought a car at 25 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ? The options: A ) 118 , B ) 110 , C ) 105 , D ) 113 , E ) 115", "input": "", "output": "", "answer": "C" }, { "instruction": "a 750 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ? The options: A ) 300 , B ) 875 , C ) 360 , D ) 770 , E ) 380", "input": "", "output": "", "answer": "B" }, { "instruction": "john bought a total of 20 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 20 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ? The options: A ) 4 , B ) 5 , C ) 6 , D ) 9 , E ) 12", "input": "", "output": "", "answer": "E" }, { "instruction": "a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 10 days starting with sunday is The options: A ) 280 , B ) 285 , C ) 290 , D ) 855 , E ) 275", "input": "", "output": "", "answer": "D" }, { "instruction": "when a certain number x is divided by 54 , the remainder is 22 . what is the remainder when x is divided by 18 ? The options: A ) 3 , B ) 1 , C ) 2 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "26 : 62 : : 32 : ? The options: A ) 49 , B ) 25 , C ) 36 , D ) 64 , E ) 23", "input": "", "output": "", "answer": "E" }, { "instruction": "a reduction of 50 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ? The options: A ) 2.75 , B ) 8.75 , C ) 7.75 , D ) 3.75 , E ) 1.75", "input": "", "output": "", "answer": "D" }, { "instruction": "marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 35 % . what percent of the projected revenue was the actual revenue ? The options: A ) 54.2 % , B ) 58 % , C ) 62.5 % , D ) 64 % , E ) 75 %", "input": "", "output": "", "answer": "A" }, { "instruction": "mr . shah decided to walk down the escalator of a tube station . he found \u00e2 that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stairs he would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins \u00e2 to descend to the time he steps off the last step at the bottom , find out the height of the stair way in steps ? The options: A ) 44 , B ) 45 , C ) 46 , D ) 47 , E ) 48", "input": "", "output": "", "answer": "C" }, { "instruction": "the average age of 18 students of a class is 18 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 18 th student is The options: A ) 101 , B ) 66 , C ) 110 , D ) 160 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "what is 15 percent of rs . 34 ? The options: A ) rs . 3.40 , B ) rs . 3.75 , C ) rs . 4.50 , D ) rs . 5.10 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "on dividing 123 by a number , the quotient is 7 and the remainder is 4 . find the divisor . The options: A ) 15 , B ) 16 , C ) 17 , D ) 18 , E ) 19", "input": "", "output": "", "answer": "C" }, { "instruction": "a reduction of 10 % in the price of tea enables a dealer to purchase 25 kg more tea for rs . 22500 . what is the reduced price per kg of tea ? The options: A ) rs . 70 , B ) rs . 80 , C ) rs . 90 , D ) rs . 100 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "at 12 : 30 , the hour hand and the minute hand of a clock form an angle of The options: A ) 120 \u00b0 , B ) 135 \u00b0 , C ) 125 \u00b0 , D ) 150 \u00b0 , E ) 180 \u00b0", "input": "", "output": "", "answer": "E" }, { "instruction": "896.7 \u2013 573.07 \u2013 95.007 = ? The options: A ) 228.623 , B ) 224.777 , C ) 233.523 , D ) 414.637 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 2200 , what will be c ' s share of the earnings ? The options: A ) $ 488.9 , B ) $ 480.9 , C ) $ 588.9 , D ) $ 680.9 , E ) $ 788.9", "input": "", "output": "", "answer": "A" }, { "instruction": "two pipes a and b can fill a tank in 36 hours and 45 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ? The options: A ) 20 hrs , B ) 22 hrs , C ) 23 hrs , D ) 24 hrs , E ) 21 hrs", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain country is divided into 6 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 18 the total number of progressives in the entire country , what fraction of the country is traditionalist ? The options: A ) 1 / 5 , B ) 1 / 3 , C ) 1 / 2 , D ) 2 / 3 , E ) 3 / 4", "input": "", "output": "", "answer": "E" }, { "instruction": "a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? The options: A ) 5.33 kmph , B ) 6.00 kmph , C ) 5.00 kmph , D ) 6.00 kmph , E ) 4.00 kmph", "input": "", "output": "", "answer": "A" }, { "instruction": "in order to obtain an income of rs . 1250 from 10 % stock at rs . 210 , one must make an investment of The options: A ) 5363 , B ) 26250 , C ) 28678 , D ) 29002 , E ) 2732", "input": "", "output": "", "answer": "B" }, { "instruction": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 400 per sq . metre . The options: A ) rs . 15,000 , B ) rs . 8,250 , C ) rs . 15,600 , D ) rs . 16,500 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "given that 268 x 74 = 19632 , find the value of 2.68 x . 74 . The options: A ) 1.9632 , B ) 1.0025 , C ) 1.5693 , D ) 1.0266 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "a student committee on academic integrity has 56 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? The options: A ) 7 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "a businessman earns $ 26800 in december , thus decreasing his average annual ( january to december ) earnings by $ 1200 . his average annual earnings would be source : cmat preparation The options: A ) $ 29000 , B ) $ 33500 , C ) $ 40000 , D ) $ 41000 , E ) $ 42300", "input": "", "output": "", "answer": "C" }, { "instruction": "a can complete a certain job in 16 days . b is 60 % more efficient than a . in how many days can b complete the same job ? The options: A ) 6 , B ) 6.25 , C ) 7 , D ) 7.5 , E ) 10", "input": "", "output": "", "answer": "E" }, { "instruction": "a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 7 % of bananas were rotten . find the percentage of fruits in good condition ? The options: A ) 92.5 % , B ) 88.2 % , C ) 85.2 % , D ) 96.8 % , E ) 78.9 %", "input": "", "output": "", "answer": "B" }, { "instruction": "sandy had $ 231 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ? The options: A ) $ 270 , B ) $ 290 , C ) $ 310 , D ) $ 330 , E ) $ 350", "input": "", "output": "", "answer": "D" }, { "instruction": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 12 pumps work to empty the tank in 1 day ? The options: A ) 4 , B ) 10 , C ) 11 , D ) 12 , E ) 13", "input": "", "output": "", "answer": "A" }, { "instruction": "the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 70 / kg . how much did a kg of coffee cost in june ? The options: A ) 70 , B ) 60 , C ) 80 , D ) 100 , E ) 120", "input": "", "output": "", "answer": "A" }, { "instruction": "a sum of rs . 66000 is divided into 3 parts such that the simple interests accrued on them for 6 , two and 11 years respectively may be equal . find the amount deposited for 11 years . The options: A ) 6500 , B ) 2000 , C ) 4500 , D ) 3000 , E ) 6000", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the number of integers from 1 to 100 ( inclusive ) that are divisible by neither 5 nor by 6 ? The options: A ) 35 , B ) 47 , C ) 58 , D ) 26 , E ) 34", "input": "", "output": "", "answer": "C" }, { "instruction": "in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what percent z of all the people in smithtown are left - handed women ? The options: A ) 50 % , B ) 40 % , C ) 25 % , D ) 20 % , E ) 10 %", "input": "", "output": "", "answer": "C" }, { "instruction": "uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 16 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ? The options: A ) 3 , B ) 6 , C ) 7 , D ) 7.8 , E ) 9", "input": "", "output": "", "answer": "C" }, { "instruction": "the average age of 20 men in the class is 15.6 years . 5 new men join and the new average becomes 14.56 years . what was the average age of 5 new men ? The options: A ) 15.5 , B ) 15.4 , C ) 15.25 , D ) 10.4 , E ) 15.6", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of the squares of three consecutive natural number is 2030 . what is the middle number ? The options: A ) 25 , B ) 26 , C ) 27 , D ) 28 , E ) 29", "input": "", "output": "", "answer": "B" }, { "instruction": "in what time will two trains cross each other completely , which are running on the same parallel lines in opposite directions , each train running with a speed of 60 kmph being 130 m and 120 m in length respectively ? The options: A ) 6.9 sEC , B ) 7.1 sEC , C ) 7.2 sEC , D ) 7.4 sEC , E ) 7.5 sEC", "input": "", "output": "", "answer": "E" }, { "instruction": "the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . what is the average percent increase of population per year ? The options: A ) 4 % , B ) 6 % , C ) 5 % , D ) 50 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ? The options: A ) 11 yEArs , B ) 17 yEArs , C ) 67 yEArs , D ) 14 yEArs , E ) 12 yEArs", "input": "", "output": "", "answer": "A" }, { "instruction": "rob also compared the empire state building and the petronas towers . what is the height difference between the two if the empire state building is 435 m tall and the petronas towers is 458 m tall ? The options: A ) 9 , B ) 17 , C ) 23 , D ) 45 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b together can do a work in 4 days . if a alone can do it in 20 days . in how many days can b alone do it ? The options: A ) 11 , B ) 5 , C ) 6 , D ) 8 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000 . if the amount of the import tax that the merchant paid was $ 109.90 , what was the total value of the item ? The options: A ) $ 1940 , B ) $ 2150 , C ) $ 2360 , D ) $ 2570 , E ) $ 2780", "input": "", "output": "", "answer": "D" }, { "instruction": "a train passes a station platform in 34 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? The options: A ) 228 , B ) 240 , C ) 887 , D ) 166 , E ) 210", "input": "", "output": "", "answer": "E" }, { "instruction": "find the area , diameter = 11 m . The options: ['A ) 113.00 squArE mEtEr', 'B ) 95.07 squArE mEtEr', 'C ) 93.08 squArE mEtEr', 'D ) 93.24 squArE mEtEr', 'E ) 113.43 squArE mEtEr']", "input": "", "output": "", "answer": "B" }, { "instruction": "when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 5 , the remainder is 4 . what is the smallest positive integer p , such that ( n + p ) is a multiple of 11 ? The options: A ) 1 , B ) 2 , C ) 5 , D ) 7 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12400 after a year ? The options: A ) 3630 , B ) 2881 , C ) 3720 , D ) 9977 , E ) 2212", "input": "", "output": "", "answer": "C" }, { "instruction": "two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post . if the length of each train be 100 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ? The options: A ) 12 , B ) 11.9 , C ) 16 , D ) 20 , E ) 18", "input": "", "output": "", "answer": "B" }, { "instruction": "if 40 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ? The options: A ) 50.5 % , B ) 44.4 % , C ) 22.2 % , D ) 33.3 % , E ) 25 %", "input": "", "output": "", "answer": "D" }, { "instruction": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 170 m . then , a wins by : The options: A ) 60 m , B ) 20 m , C ) 43 m , D ) 20 m , E ) 23 m", "input": "", "output": "", "answer": "A" }, { "instruction": "from a pack of cards , two cards are drawn one after the other , with replacement . what is the probability that the first card is a club and the second card is a red king ? The options: A ) 1 / 13 , B ) 1 / 15 , C ) 1 / 26 , D ) 1 / 52 , E ) 1 / 104", "input": "", "output": "", "answer": "E" }, { "instruction": "a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many cubes are painted on only 2 faces ? The options: ['A ) 12', 'B ) 8', 'C ) 6', 'D ) 10', 'E ) 16']", "input": "", "output": "", "answer": "A" }, { "instruction": "in a certain pond , 40 fish were caught , tagged , and returned to the pond . a few days later , 40 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ? The options: A ) 1000 , B ) 625 , C ) 1,250 , D ) 2,500 , E ) 10,000", "input": "", "output": "", "answer": "A" }, { "instruction": "a man can do a piece of work in 6 days , but with the help of his son he can do it in 3 days . in what time can the son do it alone ? The options: A ) 7 DAys , B ) 6 DAys , C ) 5 DAys , D ) 4 DAys , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "meena wrote all the numbers from 1 to 59,999 inclusive . how many digits did she write in total ? The options: A ) 248,889 , B ) 268,889 , C ) 288,889 , D ) 308,889 , E ) 328,889", "input": "", "output": "", "answer": "C" }, { "instruction": "if 3 < x < 6 < y < 9 , then what is the greatest possible positive integer difference of x and y ? The options: A ) 3 , B ) 4 , C ) 5 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "C" }, { "instruction": "if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 20 % of m is equal to what percent of 150 % of j ? The options: A ) 0.35 , B ) 466 , C ) 35 , D ) 350 , E ) 3500", "input": "", "output": "", "answer": "B" }, { "instruction": "a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 22 per kg , then his gain percent is The options: A ) 12 % , B ) 13 % , C ) 14 % , D ) 15 % , E ) 17 %", "input": "", "output": "", "answer": "E" }, { "instruction": "the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % , find out the value of x The options: A ) 13 , B ) 14 , C ) 15 , D ) 16 , E ) 17", "input": "", "output": "", "answer": "D" }, { "instruction": "convert the 19 / 36 m / s into kilometers per hour ? The options: A ) 1.7 , B ) 1.5 , C ) 1.3 , D ) 1.1 , E ) 1.9", "input": "", "output": "", "answer": "E" }, { "instruction": "an error 5 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ? The options: A ) 4.05 % , B ) 4.02 % , C ) 4 % , D ) 10.28 % , E ) 2 %", "input": "", "output": "", "answer": "D" }, { "instruction": "for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 6 minutes from 9 : 00 in the morning to 6 : 00 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6 . if on one day 2 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ? The options: A ) $ 23400 , B ) $ 25920 , C ) $ 28080 , D ) $ 28500 , E ) $ 29160", "input": "", "output": "", "answer": "A" }, { "instruction": "a can give b 100 meters start and c 170 meters start in a kilometer race . how much start can b give c in a kilometer race ? The options: A ) 11.77 mEtErs , B ) 55.77 mEtErs , C ) 77.77 mEtErs , D ) 113.77 mEtErs , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "company t produces two kinds of stereos : basic and deluxe . of the stereos produced by company t last month , 2 / 3 were basic and the rest were deluxe . if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? The options: A ) 5 / 17 , B ) 7 / 17 , C ) 4 / 17 , D ) 3 / 17 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "a rectangular block 10 cm by 20 cm by 30 cm is cut into an exact number of equal cubes . find the least possible number of cubes ? The options: A ) 6 , B ) 10 , C ) 15 , D ) 40 , E ) 22", "input": "", "output": "", "answer": "A" }, { "instruction": "at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 11.50 + 0.25 ( s \u2013 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ? The options: A ) $ 0.50 , B ) $ 1.00 , C ) $ 1.25 , D ) $ 1.50 , E ) $ 1.75", "input": "", "output": "", "answer": "E" }, { "instruction": "by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 45 % ? The options: A ) s . 429 , B ) s . 352 , C ) s . 429 , D ) s . 128 , E ) s . 419", "input": "", "output": "", "answer": "B" }, { "instruction": "at a tanning salon , customers are charged $ 10 for their first visit in a calendar month and $ 5 for each visit after that in the same calendar month . in the last calendar month , 100 customers visited the salon , of which 30 made a second visit , and 10 made a third visit . all other customers made only one visit . if those visits were the only source of revenue for the salon , what was the revenue for the last calendar month at the salon ? The options: A ) $ 1220 , B ) $ 1200 , C ) $ 1300 , D ) $ 1340 , E ) $ 1880", "input": "", "output": "", "answer": "B" }, { "instruction": "pat , kate , and mark charged a total of 126 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? The options: A ) 18 , B ) 36 , C ) 72 , D ) 70 , E ) 108", "input": "", "output": "", "answer": "D" }, { "instruction": "calculate the area of a triangle , if the sides of are 52 cm , 48 cm and 20 cm , what is its area ? The options: A ) 480 Cm 2 , B ) 580 Cm 2 , C ) 380 Cm 2 , D ) 180 Cm 2 , E ) 280 Cm 2", "input": "", "output": "", "answer": "A" }, { "instruction": "employees of a certain company are each to receive a unique 9 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , and 8 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? The options: A ) 14,720 , B ) 16,240 , C ) 18,320 , D ) 20,160 , E ) 22,480", "input": "", "output": "", "answer": "D" }, { "instruction": "the amount of time that three people worked on a special project was in the ratio of 2 to 4 to 6 . if the project took 144 hours , how many more hours did the hardest working person work than the person who worked the least ? The options: A ) 47 hours , B ) 45 hours , C ) 48 hours , D ) 49 hours , E ) 50 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "how many positive integers less than 50 have a reminder 5 when divided by 7 ? The options: A ) 3 , B ) 7 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "a car is purchased on hire - purchase . the cash price is $ 24 000 and the terms are a deposit of 10 % of the price , then the balance to be paid off over 60 equal monthly installments . interest is charged at 12 % p . a . what is the monthly installment ? The options: A ) $ 503 , B ) $ 504 , C ) $ 555 , D ) $ 576 , E ) $ 587", "input": "", "output": "", "answer": "D" }, { "instruction": "a truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes . what is the ratio of their speed ? The options: A ) 3 : 7 , B ) 4 : 7 , C ) 1 : 4 , D ) 3 : 4 , E ) 2 : 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum of money is distributed among a , b , c , d in the proportion of 6 : 4 : 8 : 5 . if c gets $ 3000 more than d , what is the b ' s share ? The options: A ) $ 2000 , B ) $ 6000 , C ) $ 1000 , D ) $ 4000 , E ) $ 5000", "input": "", "output": "", "answer": "D" }, { "instruction": "on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 380 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ? The options: A ) 237 , B ) 287 , C ) 760 , D ) 287 , E ) 720", "input": "", "output": "", "answer": "C" }, { "instruction": "in town p , 70 percent of the population are employed , and 42 percent of the population are employed males . what percent of the employed people in town p are females ? The options: A ) 25 % , B ) 30 % , C ) 35 % , D ) 40 % , E ) 45 %", "input": "", "output": "", "answer": "D" }, { "instruction": "at 15 : 00 there were 20 students in the computer lab . at 15 : 03 and every three minutes after that , 3 students entered the lab . if at 15 : 10 and every ten minutes after that 9 students left the lab , how many students were in the computer lab at 15 : 44 ? The options: A ) 7 , B ) 14 , C ) 25 , D ) 27 , E ) 30", "input": "", "output": "", "answer": "C" }, { "instruction": "the toll for crossing a certain bridge is $ 0.65 each crossing . drivers who frequently use the bridge may instead purchase a sticker each month for $ 13.00 and then pay only $ 0.30 each crossing during that month . if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day , what is the least value of x for which this driver can save money by using the sticker ? The options: A ) 14 , B ) 15 , C ) 16 , D ) 28 , E ) 29", "input": "", "output": "", "answer": "C" }, { "instruction": "a cubical tank is filled with water to a level of 3 feet . if the water in the tank occupies 75 cubic feet , to what fraction of its capacity is the tank filled with water ? The options: A ) 1 / 2 , B ) 2 / 3 , C ) 3 / 4 , D ) 2 / 5 , E ) 3 / 5", "input": "", "output": "", "answer": "E" }, { "instruction": "andy solves problems 74 to 135 inclusive in a math exercise . how many problems does he solve ? The options: A ) 53 , B ) 62 , C ) 51 , D ) 50 , E ) 49", "input": "", "output": "", "answer": "B" }, { "instruction": "9.009 / 1.001 The options: A ) 0.009 , B ) 0.09 , C ) 0.9 , D ) 9 , E ) 90", "input": "", "output": "", "answer": "D" }, { "instruction": "a number increased by 25 % gives 520 . the number is ? The options: A ) 216 , B ) 316 , C ) 616 , D ) 516 , E ) 416", "input": "", "output": "", "answer": "E" }, { "instruction": "a , b and c can do a piece of work in 14 , 30 and 40 days respectively . they start the work together but c leaves 4 days before the completion of the work . in how many days is the work done ? The options: A ) 7.6 DAys , B ) 7.7 DAys , C ) 6.7 DAys , D ) 5.7 DAys , E ) 8.7 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "joe drives 240 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ? The options: A ) 42 , B ) 51 , C ) 50 , D ) 54 , E ) 56", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the sum of the multiples of 4 between 38 and 127 inclusive ? The options: A ) 1804 , B ) 1816 , C ) 1824 , D ) 1828 , E ) 1832", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 10 miles per gallon , and from town b to town c , the car averaged 18 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? The options: A ) 13 , B ) 13.5 , C ) 14 , D ) 14.5 , E ) 15", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 110 m long is running with a speed of 30 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ? The options: A ) 7 sEC , B ) 6 sEC , C ) 8 sEC , D ) 11 sEC , E ) 2 sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "there are 50 boys in a class . their average weight is 45 kg . when one boy leaves the class , the average reduces by 100 g . find the weight of the boy who left the class . The options: A ) 40.9 kg , B ) 42.9 kg , C ) 49.9 kg , D ) 39.9 kg , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 20 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ? The options: A ) 288 , B ) 492 , C ) 877 , D ) 278 , E ) 178", "input": "", "output": "", "answer": "B" }, { "instruction": "how many positive integers less than 240 are multiple of 4 but not multiples of 6 ? The options: A ) 40 , B ) 31 , C ) 42 , D ) 53 , E ) 64", "input": "", "output": "", "answer": "A" }, { "instruction": "if w / x = 1 / 3 and w / y = 4 / 15 , then ( x + y ) / y = The options: A ) 4 / 5 , B ) 6 / 5 , C ) 7 / 5 , D ) 8 / 5 , E ) 9 / 5", "input": "", "output": "", "answer": "E" }, { "instruction": "tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 52 people bought tickets to the concert , what was the total revenue from ticket sales ? The options: A ) $ 600 , B ) $ 740 , C ) $ 850 , D ) $ 900 , E ) $ 1,140", "input": "", "output": "", "answer": "D" }, { "instruction": "a bowl of nuts is prepared for a party . brand p mixed nuts are 20 % almonds and brand q ' s deluxe nuts are 25 % almonds . if a bowl contains a total of 64 ounces of nuts , representing a mixture of both brands , and 14 ounces of the mixture are almonds , how many ounces of brand q ' s deluxe mixed nuts are used ? The options: A ) 14 , B ) 20 , C ) 32 , D ) 44 , E ) 48", "input": "", "output": "", "answer": "A" }, { "instruction": "a policeman noticed a criminal from a distance of 265 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 3 minutes ? The options: A ) 100 m , B ) 120 m , C ) 130 m , D ) 150 m , E ) nonE oF thEsE", "input": "", "output": "", "answer": "E" }, { "instruction": "a university cafeteria offers 6 flavors of pizza - pork , gobi - manjurian , pepperoni , chicken , hawaiian and vegetarian . if a customer has an option ( but not the obligation ) to add extra cheese , mushrooms or both to any kind of pizza , how many different pizza varieties are available ? The options: A ) 4 , B ) 8 , C ) 12 , D ) 36 , E ) 32", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of three consecutive multiples of 3 is 117 . what is the largest number ? The options: A ) 45 , B ) 48 , C ) 51 , D ) 42 , E ) 54", "input": "", "output": "", "answer": "D" }, { "instruction": "in a zoo , the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas ? The options: A ) 2 , B ) 12 , C ) 5 , D ) 10 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "a train 250 m long running at 72 kmph crosses a platform in 50 sec . what is the length of the platform ? The options: A ) 150 m , B ) 200 m , C ) 250 m , D ) 750 m , E ) 300 m", "input": "", "output": "", "answer": "D" }, { "instruction": "how many multiples of 3 are there between 5 and 59 , 5 and 59 inclusive ? The options: A ) 16 , B ) 22 , C ) 18 , D ) 11 , E ) 9", "input": "", "output": "", "answer": "C" }, { "instruction": "in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 12 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . The options: A ) 12 / 7 , B ) 4 / 1 , C ) 2 / 3 , D ) 3 / 4 , E ) 3 / 2", "input": "", "output": "", "answer": "A" }, { "instruction": "in 1979 approximately 1 / 3 of the 32.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 2 the number that used kennedy airport and 4 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ? The options: A ) 18.6 , B ) 9.3 , C ) 6.2 , D ) 1.33 , E ) 1.6", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the greater of the two numbers whose product is 2496 , given that the sum of the two numbers exceeds their difference by 64 ? The options: A ) A ) 96 , B ) B ) 108 , C ) C ) 110 , D ) D ) 78 , E ) oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "rs . 6490 is divided so that 4 times the first share , six times the 2 nd share and twice the third share amount to the same . what is the value of the first share ? The options: A ) s 6490 , B ) s 1880 , C ) s 1660 , D ) s 1550 , E ) s 1770", "input": "", "output": "", "answer": "E" }, { "instruction": "of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 125 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? The options: A ) 280 , B ) 400 , C ) 540 , D ) 625 , E ) 840", "input": "", "output": "", "answer": "D" }, { "instruction": "the average salary per month of 55 employees in a company is rs 8500 . if the managers salary is added , the average salary increases to rs 8800 , what is the salary of the manager ? The options: A ) 10000 , B ) 12000 , C ) 23000 , D ) 25300 , E ) 45000", "input": "", "output": "", "answer": "D" }, { "instruction": "there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 2424 plants . how many birches were planted ? The options: A ) 2 , B ) 5 , C ) 8 , D ) 6 , E ) 4", "input": "", "output": "", "answer": "D" }, { "instruction": "how many of the positive factors of 10 , 16 and how many common factors are there in numbers ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 The options: A ) 5 / 7 , B ) 4 / 7 , C ) 5 / 12 , D ) 4 / 7 , E ) 1 / 6", "input": "", "output": "", "answer": "C" }, { "instruction": "calculate the largest 6 digit number which is exactly divisible by 99 ? The options: A ) 999991 , B ) 999965 , C ) 999912 , D ) 999936 , E ) 999930", "input": "", "output": "", "answer": "D" }, { "instruction": "a green grocer received a boxful of tomatoes and on opening the box found that several had gone bad . he then counted them up so that he could make a formal complaint and found that 68 were mouldy , which was 16 per cent of the total contents of the box . how many tomatoes were in the box ? The options: A ) 336 , B ) 425 , C ) 275 , D ) 235 , E ) 689", "input": "", "output": "", "answer": "B" }, { "instruction": "the water level in a reservoir has been dropping at the rate of 12 inches per day . exactly 5 days ago , the water level was at w inches . what will be the water level exactly 4 days from now if the rate at which the level is dropping remains the same ? The options: A ) w \u2212 108 , B ) w \u2212 56 , C ) w \u2212 14 , D ) w + 14 , E ) w + 126", "input": "", "output": "", "answer": "A" }, { "instruction": "how many boxes do we need if we have to carry 250 apples into boxes that each hold 25 apples ? The options: A ) A ) 9 , B ) B ) 5 , C ) C ) 7 , D ) D ) 10 , E ) E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "D" }, { "instruction": "how many seconds does sandy take to cover a distance of 600 meters , if sandy runs at a speed of 15 km / hr ? The options: A ) 128 , B ) 136 , C ) 144 , D ) 152 , E ) 160", "input": "", "output": "", "answer": "C" }, { "instruction": "if shares of two persons in profits are rs . 600 and rs . 300 then ratio of their capitals is The options: A ) 3 : 4 , B ) 2 : 3 , C ) 4 : 3 , D ) 1 : 3 , E ) 2 : 1", "input": "", "output": "", "answer": "E" }, { "instruction": "the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is : The options: A ) 36.5 , B ) 35 , C ) 34 , D ) 33 , E ) 32.5", "input": "", "output": "", "answer": "A" }, { "instruction": "a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 500 each from people already solicited . people already solicited represent 50 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ? The options: A ) $ 200 , B ) $ 333.33 , C ) $ 100.25 , D ) $ 277.78 , E ) $ 377.00", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain bacteria colony doubles in size every day for 19 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ? The options: A ) 6.33 , B ) 7.5 , C ) 10 , D ) 18 , E ) 19", "input": "", "output": "", "answer": "D" }, { "instruction": "the diameter of a circle is 4 / \u03c0 . find the circumference of the circle . The options: ['A ) 8', 'B ) 4 \u03c0', 'C ) 4', 'D ) 6', 'E ) 5']", "input": "", "output": "", "answer": "A" }, { "instruction": "simplify : 0.3 * 0.3 + 0.3 * 0.3 The options: A ) 0.52 , B ) 0.42 , C ) 0.18 , D ) 0.64 , E ) 0.46", "input": "", "output": "", "answer": "C" }, { "instruction": "how many prime numbers exist between 260 and 280 ? The options: A ) nonE , B ) onE , C ) two , D ) thrEE , E ) Four", "input": "", "output": "", "answer": "E" }, { "instruction": "one robot builds a robot in 1 hour , another one builds a robot in 2 hours . the 2 robots work together and when a new robot is complete , it joins the others , working at a constant rate of one robot in 2 hours . how much time will it take until there are 8 robots altogether , if the robots build only one robot at a time ? The options: A ) 70 min , B ) 94 min , C ) 110 min , D ) 131 1 / 7 min , E ) 146 1 / 7 min", "input": "", "output": "", "answer": "E" }, { "instruction": "{ - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number will be a solution to the equation ( x - 4 ) ( x + 9 ) ( 2 x + 5 ) = 0 ? The options: A ) 1 / 12 , B ) 1 / 6 , C ) 1 / 4 , D ) 1 / 3 , E ) 1 / 2", "input": "", "output": "", "answer": "A" }, { "instruction": "a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 300 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ? The options: A ) 1 , B ) 2 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "a and b are two multiples of 36 , and q is the set of consecutive integers between a and b , inclusive . if q contains 9 multiples of 9 , how many multiples of 4 are there in q ? The options: A ) 18 , B ) 19 , C ) 20 , D ) 21 , E ) 22", "input": "", "output": "", "answer": "B" }, { "instruction": "find the value of ( 20 c 18 ) * ( 20 c 20 ) The options: A ) 400 , B ) 380 , C ) 360 , D ) 350 , E ) 330", "input": "", "output": "", "answer": "B" }, { "instruction": "if 30 % of a class averages 95 % on a test , 50 % of the class averages 79 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . The options: A ) 76 % , B ) 77 % , C ) 78 % , D ) 79 % , E ) 80 %", "input": "", "output": "", "answer": "E" }, { "instruction": "two kinds of vodka are mixed in the ratio 2 : 6 and 6 : 3 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of The options: A ) 20 % , B ) 40 % , C ) 18 % , D ) 23 % , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "A" }, { "instruction": "if the tens digit of positive integers m , y are 6 , how many values of the tens digit of 2 ( m + y ) can be there ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "C" }, { "instruction": "the maximum number of students among them 848 pens and 630 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? The options: A ) 10 , B ) 4 , C ) 2 , D ) 14 , E ) 16", "input": "", "output": "", "answer": "C" }, { "instruction": "find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1 : 2 ? The options: ['A ) 1 : 2', 'B ) 2 : 3', 'C ) 2 : 9', 'D ) 2 : 1', 'E ) 2 : 2']", "input": "", "output": "", "answer": "A" }, { "instruction": "n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 7 , 8 and 9 is a digit of either n or m . what is the smallest possible positive difference between n and m ? The options: A ) 19 , B ) 49 , C ) 58 , D ) 113 , E ) 131", "input": "", "output": "", "answer": "A" }, { "instruction": "the captain of a cricket team of 11 members is 29 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? The options: A ) 20 yEArs , B ) 21 yEArs , C ) 22 yEArs , D ) 23 yEArs , E ) 26 yEArs", "input": "", "output": "", "answer": "E" }, { "instruction": "if the sides of a triangle are 31 cm , 29 cm and 15 cm , what is its area ? The options: A ) 220.75 Cm 2 , B ) 258 Cm 2 , C ) 225.50 Cm 2 , D ) 222.25 Cm 2 , E ) 217.5 Cm 2", "input": "", "output": "", "answer": "E" }, { "instruction": "in what ratio should a variety of rice costing rs . 6.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? The options: A ) 5 / 6 , B ) 5 / 9 , C ) 5 / 4 , D ) 5 / 3 , E ) 7 / 6", "input": "", "output": "", "answer": "C" }, { "instruction": "a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is The options: A ) 7 / 16 , B ) 7 / 12 , C ) 7 / 19 , D ) 7 / 12 , E ) 7 / 15", "input": "", "output": "", "answer": "E" }, { "instruction": "the average monthly salary of 20 employees in an organisation is rs . 1400 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? The options: A ) 3600 , B ) 3890 , C ) 88798 , D ) 2789 , E ) 3500", "input": "", "output": "", "answer": "E" }, { "instruction": "4 men and 6 women can complete a work in 8 days , while 3 men and 7 women can complete it in 10 days . in how many days will 10 women complete it ? The options: A ) 21 DAys , B ) 40 DAys , C ) 27 DAys , D ) 18 DAys , E ) 17 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "a furniture dealer purchased a desk for $ 180 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ? The options: A ) $ 40 , B ) $ 60 , C ) $ 80 , D ) $ 120 , E ) $ 100", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 400 m long can cross an electric pole in 10 sec and then find the speed of the train ? The options: A ) 165 kmph , B ) 144 kmph , C ) 172 kmph , D ) 175 kmph , E ) 178 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "a man can row his boat with the stream at 30 km / h and against the stream in 14 km / h . the man ' s rate is ? The options: A ) 1 kmph , B ) 4 kmph , C ) 5 kmph , D ) 7 kmph , E ) 8 kmph", "input": "", "output": "", "answer": "E" }, { "instruction": "3 men and 7 women can complete a work in 10 days . but 4 men and 6 women need 8 days to complete the same work . in how many days will 10 women complete the same work ? The options: A ) 50 , B ) 40 , C ) 30 , D ) 20 , E ) 10", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the characteristic of the logarithm of 0.0000134 ? The options: A ) 5 , B ) - 5 , C ) 6 , D ) - 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "in the game of dubblefud , red chips , blue chips and green chips are each worth 2 , 4 and 5 points respectively . in a certain selection of chips , the product of the point values of the chips is 16000 . if the number of blue chips in this selection doubles the number of green chips , how many red chips are in the selection ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "compound interest of rs . 2000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ) . The options: A ) rs . 473 , B ) rs . 374 , C ) rs . 495 , D ) rs . 315 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "D" }, { "instruction": "the radius of a cone is 49 m , slant height is 35 m . find the curved surface area ? The options: A ) 5160 , B ) 5390 , C ) 6430 , D ) 6720 , E ) 7280", "input": "", "output": "", "answer": "B" }, { "instruction": "the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 10 minutes , then the area of the park ( in sq . m ) is : The options: A ) 153601 , B ) 153600 , C ) 153602 , D ) 153603 , E ) 240000", "input": "", "output": "", "answer": "E" }, { "instruction": "a train covers a distance of 11 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ? The options: A ) m , B ) m , C ) m , D ) m , E ) m", "input": "", "output": "", "answer": "C" }, { "instruction": "on average , the boys in the class have 20 pencils and the girls have 38 pencils . if the overall class average is 30 pencils , what is the ratio of boys to girls in the class ? The options: A ) 1 / 2 , B ) 2 / 3 , C ) 3 / 4 , D ) 4 / 5 , E ) 5 / 6", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain village , 200 litres of water are required per household per month . at this rate , if there are 5 households in the village , how long ( in months ) will 2000 litres of water last ? The options: A ) 9 , B ) 5 , C ) 6 , D ) 2 , E ) 4", "input": "", "output": "", "answer": "D" }, { "instruction": "sum of two numbers prime to each other is 20 and their l . c . m . is 99 . what are the numbers ? The options: A ) 8 AnD 12 , B ) 14 AnD 6 , C ) 19 AnD 1 , D ) 11 AnD 9 , E ) 12 AnD 9", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 180 m in length crosses a telegraph post in 20 seconds . the speed of the train is ? The options: A ) 37 kmph , B ) 35 kmph , C ) 32 kmph , D ) 38 kmph , E ) 36 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "rs . 925 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 925 become in 3 years ? The options: A ) rs . 1020.80 , B ) rs . 1025 , C ) rs . 1067 , D ) DAtA inADEquAtE , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 12 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ? The options: A ) 21 , B ) 35 , C ) 36 , D ) 60 , E ) 65", "input": "", "output": "", "answer": "C" }, { "instruction": "sides of a rectangular park are in the ratio 3 : 2 and its area is 2460 sq m , the cost of fencing it at 50 ps per meter is ? The options: A ) s . 122 , B ) s . 129 , C ) s . 129.76 , D ) s . 120 , E ) s . 121", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the sum of all the odd numbers between 24 and 50 , inclusive ? The options: A ) 592 , B ) 481 , C ) 330 , D ) 475 , E ) 483", "input": "", "output": "", "answer": "B" }, { "instruction": "if the average of r , b , c , 14 and 15 is 12 . what is the average value of r , b , c and 29 The options: A ) 12 , B ) 13 , C ) 14 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "D" }, { "instruction": "if 15 % of a is the same as 30 % of b , then a : b is : The options: A ) 1 : 4 , B ) 4 : 3 , C ) 6 : 7 , D ) 3 : 5 , E ) 2 : 1", "input": "", "output": "", "answer": "E" }, { "instruction": "let a be the event that a randomly selected two digit number is divisible by 2 and let b be the event that a randomly selected two digit number is divisible by 5 . what is p ( a and b ) ? The options: A ) 1 / 18 , B ) 1 / 10 , C ) 1 / 5 , D ) 1 / 3 , E ) 1 / 2", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the angle between the 2 hands of the clock at 8 : 24 pm ? The options: A ) 100 \u00b0 , B ) 107 \u00b0 , C ) 106 \u00b0 , D ) 108 \u00b0 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "two friends c and d leave point c and point d simultaneously and travel towards point d and point c on the same route at their respective constant speeds . they meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively . how long will d take to cover the entire journey between point d and point c ? The options: A ) 90 , B ) 80 , C ) 75 , D ) 60 , E ) 65", "input": "", "output": "", "answer": "A" }, { "instruction": "a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 225 for it , the cost price of the cricket bat for a is : The options: A ) 150 , B ) 120 , C ) 130 , D ) 160 , E ) 210", "input": "", "output": "", "answer": "A" }, { "instruction": "the workforce of company x is 50 % female . the company hired 20 additional male workers , and as a result , the percent of female workers dropped to 50 % . how many employees did the company have after hiring the additional male workers ? The options: A ) 225 , B ) 220 , C ) 230 , D ) 235 , E ) 240", "input": "", "output": "", "answer": "B" }, { "instruction": "x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 5 will be equal to : The options: A ) 3 , B ) 6 , C ) 1 / 9 , D ) 1 / 3 , E ) 9 / 25", "input": "", "output": "", "answer": "E" }, { "instruction": "in a class of 50 students , 20 play baseball , 15 play cricket and 11 play football . 7 play both baseball and cricket , 4 play cricket and football and 5 play baseball and football . if 18 students do not play any of these given sports , how many students play exactly two of these sports ? The options: A ) 10 , B ) 46 , C ) 67 , D ) 68 , E ) 446", "input": "", "output": "", "answer": "A" }, { "instruction": "the speed of a train is 90 kmph . what is the distance covered by it in 10 minutes ? The options: A ) 15 , B ) 87 , C ) 99 , D ) 77 , E ) 55", "input": "", "output": "", "answer": "A" }, { "instruction": "in one hour , a boat goes 11 km / hr along the stream and 5 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is : The options: A ) 2 kmph , B ) 3 kmph , C ) 8 kmph , D ) 9 kmph , E ) 7 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "a positive number x is multiplied by 5 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? The options: A ) 9 / 4 , B ) 3 / 2 , C ) 4 / 3 , D ) 5 / 3 , E ) 1 / 2", "input": "", "output": "", "answer": "D" }, { "instruction": "the price of commodity x increases by 40 paise every year , while the price of commodity y increases by 15 paise every year . if in 2001 , the price of commodity x was rs . 4.20 and that of y was rs . 6.30 , in which year commodity x will cost 40 paise more than the commodity y ? The options: A ) 2010 , B ) 2001 , C ) 2012 , D ) 2011 , E ) 2009", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 8 years hence ? The options: A ) 50 , B ) 60 , C ) 70 , D ) 76 , E ) 90", "input": "", "output": "", "answer": "D" }, { "instruction": "a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 2 / 7 % his yearly income diminishes by rs . 61.50 . his capital is The options: A ) 22.378 , B ) 87.86 , C ) 246.0 , D ) 78.88 , E ) 127.71", "input": "", "output": "", "answer": "B" }, { "instruction": "the product of two numbers is 468 and the sum of their squares is 289 . the sum of the number is ? The options: A ) A ) 23 , B ) B ) 25 , C ) C ) 27 , D ) D ) 31 , E ) E ) 35", "input": "", "output": "", "answer": "E" }, { "instruction": "the ratio , by volume , of soap to alcohol to water in a certain solution is 4 : 20 : 60 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? The options: A ) 1200 , B ) 1250 , C ) 1300 , D ) 1400 , E ) 1450", "input": "", "output": "", "answer": "A" }, { "instruction": "if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 13 . what is the value of f ( 6 ) ? The options: A ) - 1 , B ) 0 , C ) 1 , D ) 2 , E ) 4", "input": "", "output": "", "answer": "D" }, { "instruction": "what will be the area of a semi - circle of 14 metres diameter ? The options: ['A ) 154 sq mEtrEs', 'B ) 77 sq mEtrEs', 'C ) 308 sq mEtrEs', 'D ) 22 sq mEtrEs', 'E ) nonE oF thEsE']", "input": "", "output": "", "answer": "B" }, { "instruction": "the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 2200 for a computer table , then what was the cost price of the computer table ? The options: A ) 2299 , B ) 2000 , C ) 2670 , D ) 6725 , E ) 2601", "input": "", "output": "", "answer": "B" }, { "instruction": "one fourth of a solution that was 10 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ? The options: A ) 24 % , B ) 34 % , C ) 22 % , D ) 18 % , E ) 8.5 %", "input": "", "output": "", "answer": "B" }, { "instruction": "if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 85 , what is the value of c \u00e2 \u02c6 \u2019 a ? The options: A ) 25 , B ) 80 , C ) 90 , D ) 140 , E ) it CAn not BE DEtErminED From thE inFormAtion givEn", "input": "", "output": "", "answer": "B" }, { "instruction": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 4 pumps work to empty the tank in 1 day ? The options: A ) 9 , B ) 10 , C ) 11 , D ) 12 , E ) 13", "input": "", "output": "", "answer": "D" }, { "instruction": "peter invests a sum of money and gets back an amount of $ 810 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ? The options: A ) 670 , B ) 683 , C ) 698 , D ) 744 , E ) 700", "input": "", "output": "", "answer": "B" }, { "instruction": "a envelop weight 9.2 gm , if 800 of these envelop are sent with an advertisement mail . how much wieght ? The options: A ) 6.6 kg , B ) 6.8 kg , C ) 6.7 kg , D ) 6.9 kg , E ) 7.36 kg", "input": "", "output": "", "answer": "E" }, { "instruction": "what least number should be added to 1022 , so that the sum is completely divisible by 25 ? The options: A ) 4 , B ) 3 , C ) 2 , D ) 0 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "a hostel had provisions for 250 men for 44 days . if 50 men left the hostel , how long will the food last at the same rate ? The options: A ) 55 , B ) 40 , C ) 50 , D ) 60 , E ) 65", "input": "", "output": "", "answer": "A" }, { "instruction": "the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8339 for a computer table , then what was the cost price of the computer table ? The options: A ) rs . 6825 , B ) rs . 6721 , C ) rs . 6725 . , D ) rs . 4298 , E ) rs . 6729", "input": "", "output": "", "answer": "C" }, { "instruction": "63 + 5 * 12 / ( 180 / 3 ) = ? The options: A ) 22 , B ) 77 , C ) 29 , D ) 64 , E ) 21", "input": "", "output": "", "answer": "D" }, { "instruction": "in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.45 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? The options: A ) 318 $ , B ) 380 $ , C ) 420 $ , D ) 450 $ , E ) 480 $", "input": "", "output": "", "answer": "A" }, { "instruction": "if ( - 6 ) ^ ( 2 x ) = 6 ^ ( 7 + x ) and x is an integer , what is the value of x ? The options: A ) 5 , B ) 4 , C ) 3 , D ) 8 , E ) 7", "input": "", "output": "", "answer": "E" }, { "instruction": "a hen leaps 3 leaps for every 2 leaps of a duck , but 4 leaps of the duck are equal to 3 leaps of the hen . what is the ratio of the speed of the hen to that of the duck ? The options: A ) 2 : 1 , B ) 3 : 4 , C ) 4 : 3 , D ) 1 : 4 , E ) 5 : 6", "input": "", "output": "", "answer": "A" }, { "instruction": "praveen starts business with rs . 3640 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari \u2019 s contribution in the capital ? The options: A ) s . 7500 , B ) s . 8000 , C ) s . 8500 , D ) s . 9000 , E ) s . 9360", "input": "", "output": "", "answer": "E" }, { "instruction": "salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 20 % vinegar , dressing p comprises what percentage of the new dressing ? The options: A ) 60 % , B ) 50 % , C ) 40 % , D ) 30 % , E ) 20 %", "input": "", "output": "", "answer": "B" }, { "instruction": "how many positive integers q between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? The options: A ) 3 , B ) 16 , C ) 75 , D ) 24 , E ) 26", "input": "", "output": "", "answer": "E" }, { "instruction": "rs . 850 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 850 become in 3 years ? The options: A ) rs . 1020.80 , B ) rs . 1025 , C ) rs . 1058 , D ) DAtA inADEquAtE , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 4 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) The options: A ) 3 , 400,000 , B ) 2 , 800,000 , C ) 55,000 , D ) 28,000 , E ) 280", "input": "", "output": "", "answer": "A" }, { "instruction": "it takes ten minutes to load a certain video on a cellphone , and fifteen seconds to load that same video on a laptop . if the two devices were connected so that they operated in concert at their respective rates , how many seconds would it take them to load the video , rounded to the nearest hundredth ? The options: A ) 13.42 , B ) 13.86 , C ) 14.25 , D ) 14.63 , E ) 14.88", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain scholarship committee awarded scholarships in the amounts of $ 1250 , $ 2500 and $ 4000 . the committee awarded twice as many $ 2500 scholarships as $ 4000 and it awarded 3 times as many $ 1250 scholarships as $ 2500 scholarships . if the total of $ 75000 was awarded in $ 1250 scholarships , how many $ 4000 scholarships were awarded ? The options: A ) 5 , B ) 6 , C ) 9 , D ) 10 , E ) 15", "input": "", "output": "", "answer": "D" }, { "instruction": "in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 6 eggs . if the cost of each pound of rice is $ 0.33 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] The options: A ) 0.33 , B ) 0.44 , C ) 33 , D ) 44 , E ) 55", "input": "", "output": "", "answer": "C" }, { "instruction": "a pupil ' s marks were wrongly entered as 73 instead of 40 . due to the average marks for the class got increased by half . the number of pupils in the class is ? The options: A ) 18 , B ) 82 , C ) 66 , D ) 27 , E ) 77", "input": "", "output": "", "answer": "C" }, { "instruction": "a baseball card decreased in value 25 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ? The options: A ) 28 % , B ) 30 % , C ) 32.5 % , D ) 36 % , E ) 72 %", "input": "", "output": "", "answer": "C" }, { "instruction": "if an integer n is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? The options: A ) 1 / 4 , B ) 3 / 8 , C ) 1 / 2 , D ) 5 / 8 , E ) 3 / 4", "input": "", "output": "", "answer": "D" }, { "instruction": "a car going at 40 miles per hour set out on an 60 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ? The options: A ) 45 , B ) 60 , C ) 53 , D ) 55 , E ) 50", "input": "", "output": "", "answer": "B" }, { "instruction": "1 = 5,2 = 25,3 = 253,4 = 150,5 = 225 then 150 = ? The options: A ) 1 , B ) 255 , C ) 4 , D ) 445 , E ) 235", "input": "", "output": "", "answer": "C" }, { "instruction": "a dealer offers a cash discount of 16 % and still makes a profit of 25 % when he further allows 60 articles to be sold at the cost price of 50 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ? The options: A ) 50 % , B ) 60 % , C ) 70 % , D ) 75 % , E ) 78 + ( 4 / 7 ) %", "input": "", "output": "", "answer": "E" }, { "instruction": "if n divided by 8 has a remainder of 1 , what is the remainder when 3 times n is divided by 8 ? The options: A ) 1 , B ) 3 , C ) 7 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "the volume of a cube is 2197 cc . find its surface . The options: A ) 864 , B ) 1014 , C ) 1299 , D ) 1268 , E ) 1191", "input": "", "output": "", "answer": "B" }, { "instruction": "15 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? The options: A ) 150 , B ) 131 , C ) 115 , D ) 90 , E ) 45", "input": "", "output": "", "answer": "A" }, { "instruction": "if pintu is coded as 79523 in a certain code language , how would you code mumbo in the same language ? The options: A ) 43426 , B ) 14236 , C ) 13436 , D ) 14263 , E ) 15263", "input": "", "output": "", "answer": "A" }, { "instruction": "a is twice as fast as b . if b alone can do a piece of work in 18 days , in what time can a and b together complete the work ? The options: A ) 10 , B ) 16 , C ) 18 , D ) 6 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "the area of a triangle is with base 5.5 m and height 6 m ? The options: A ) 11 m 2 , B ) 16.5 m 2 , C ) 18.5 m 2 , D ) 19.5 m 2 , E ) 12 m 2", "input": "", "output": "", "answer": "B" }, { "instruction": "working together , printer a and printer b would finish the task in 15 minutes . printer a alone would finish the task in 45 minutes . how many pages does the task contain if printer b prints 3 pages a minute more than printer a ? The options: A ) 125 , B ) 135 , C ) 145 , D ) 155 , E ) 165", "input": "", "output": "", "answer": "B" }, { "instruction": "the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 8400 for a computer table , then what was the cost price of the computer table ? The options: A ) rs . 5725 , B ) rs . 5275 , C ) rs . 6275 , D ) rs . 6720 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "if you write down all the numbers from 1 to 100 , then how many times do you write 3 ? The options: A ) 11 , B ) 18 , C ) 20 , D ) 21 , E ) 22", "input": "", "output": "", "answer": "C" }, { "instruction": "the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 11 . the larger of the two numbers is : The options: A ) 276 , B ) 253 , C ) 322 , D ) 345 , E ) 395", "input": "", "output": "", "answer": "B" }, { "instruction": "at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 5 years ? The options: A ) 4 % , B ) 3 6 / 7 % , C ) 2 6 / 7 % , D ) 5 % , E ) 6 %", "input": "", "output": "", "answer": "C" }, { "instruction": "tim and \u00e9 lan are 60 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ? The options: A ) 30 milEs . , B ) 35 milEs . , C ) 40 milEs . , D ) 60 milEs . , E ) 65 milEs .", "input": "", "output": "", "answer": "C" }, { "instruction": "if y is 90 % greater than x , than x is what % less than y ? The options: A ) 35.7 % , B ) 39.8 % , C ) 43.2 % , D ) 47.4 % , E ) 51.2 %", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the length of a bridge ( in meters ) , which a train 166 meters long and travelling at 45 km / h can cross in 40 seconds ? The options: A ) 310 , B ) 318 , C ) 326 , D ) 334 , E ) 342", "input": "", "output": "", "answer": "D" }, { "instruction": "the average weight of 10 persons increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? The options: A ) 107 kg , B ) 80 kg , C ) 120 kg , D ) 90 kg , E ) 100", "input": "", "output": "", "answer": "A" }, { "instruction": "if 5 < x < 9 and y = x + 3 , what is the greatest possible integer value of x + y ? The options: A ) 19 , B ) 20 , C ) 21 , D ) 22 , E ) 23", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain class of students is being divided into teams . the class can either be divided into 8 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ? The options: A ) 6 , B ) 36 , C ) 48 , D ) 24 , E ) 72", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular tiled patio is composed of 90 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 90 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? The options: A ) 5 , B ) 6 , C ) 10 , D ) 11 , E ) 28", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the units digit of ( 3 ^ 5 ) ( 4 ^ 13 ) ? The options: A ) 2 , B ) 4 , C ) 6 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of three consecutive even numbers is 63 . find the middle number of the three ? The options: A ) 14 , B ) 23 , C ) 25 , D ) 29 , E ) 21", "input": "", "output": "", "answer": "E" }, { "instruction": "a cube is divided into 512 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? The options: A ) 216 , B ) 264 , C ) 296 , D ) 312 , E ) 324", "input": "", "output": "", "answer": "A" }, { "instruction": "of the 150 employees at company x , 70 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren \u2019 t full - time and haven \u2019 t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ? The options: A ) 20 , B ) 40 , C ) 50 , D ) 80 , E ) 100", "input": "", "output": "", "answer": "B" }, { "instruction": "paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ? The options: A ) 11 / 12 , B ) 13 / 17 , C ) 13 / 19 , D ) 15 / 11 , E ) 11 / 19", "input": "", "output": "", "answer": "D" }, { "instruction": "if 6 - 12 / x = 7 - 7 / x , then x = The options: A ) - 5 , B ) 19 , C ) - 7 / 5 , D ) 1 , E ) 5 / 6", "input": "", "output": "", "answer": "A" }, { "instruction": "the sector of a circle has radius of 14 cm and central angle 135 o . find its perimeter ? The options: A ) 91.5 Cm , B ) 61 Cm , C ) 28.9 Cm , D ) 29.2 Cm , E ) 98.2 Cm", "input": "", "output": "", "answer": "B" }, { "instruction": "| x + 3 | \u2013 | 4 - x | = | 8 + x | how many s solutions will this equation have ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "in a games hour 4 different types of players came to the ground ? cricket 11 , hokey 15 , football 21 , softball 15 . how many players are present in the ground ? The options: A ) 70 , B ) 52 , C ) 62 , D ) 49 , E ) 50", "input": "", "output": "", "answer": "C" }, { "instruction": "how long does a train 120 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ? The options: A ) sEC , B ) sEC , C ) sEC , D ) sEC , E ) sEC", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the ratio of 6 / 7 to the product 3 * ( 7 / 3 ) ? The options: A ) 3 : 7 , B ) 1 : 3 , C ) 3 : 21 , D ) 6 : 49 , E ) 3 : 49", "input": "", "output": "", "answer": "D" }, { "instruction": "a caterer ordered 125 ice - cream bars and 125 sundaes . if the total price was $ 275.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ? The options: A ) $ 0.60 , B ) $ 0.80 , C ) $ 1.00 , D ) $ 1.20 , E ) $ 1.60", "input": "", "output": "", "answer": "E" }, { "instruction": "a batsman makes a score of 50 runs in the 6 th inning and thus increases his average by 2 . find his average after 6 th inning . The options: A ) 40 , B ) 50 , C ) 60 , D ) 70 , E ) 80", "input": "", "output": "", "answer": "A" }, { "instruction": "49 \u00e3 \u2014 49 \u00e3 \u2014 49 = 7 ^ ? The options: A ) 4 , B ) 7 , C ) 8 , D ) 6 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 1 , - 4 ) . what is the smallest possible area of that circle ? The options: A ) 13 \u03c0 , B ) 26 \u03c0 , C ) 262 \u221a \u03c0 , D ) 5 \u03c0 , E ) 64 \u03c0", "input": "", "output": "", "answer": "D" }, { "instruction": "the sum of the present ages of two persons a and b is 90 . if the age of a is twice that of b , find the sum of their ages 5 years hence ? The options: A ) 50 , B ) 60 , C ) 70 , D ) 80 , E ) 100", "input": "", "output": "", "answer": "E" }, { "instruction": "the distance between two cities a and b is 330 km . a train starts from a at 8 a . m . and travels towards b at 60 km / hr . another train starts from b at 9 a . m . and travels towards a at 75 km / hr . at what time do they meet ? The options: A ) 12 , B ) 10 , C ) 11 , D ) 09 , E ) 03", "input": "", "output": "", "answer": "C" }, { "instruction": "a high school has 360 students 1 / 2 attend the arithmetic club , 5 / 8 attend the biology club and 3 / 4 attend the chemistry club . 3 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs . The options: A ) 45 , B ) 40 , C ) 35 , D ) 50 , E ) 55", "input": "", "output": "", "answer": "A" }, { "instruction": "the cash difference between the selling prices of an article at a profit of 8 % and 6 % is rs . 3 . the ratio of the two selling prices is ? The options: A ) 52 : 56 , B ) 52 : 53 , C ) 52 : 50 , D ) 54 : 53 , E ) 52 : 51", "input": "", "output": "", "answer": "D" }, { "instruction": "reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 588 as interest at the end of the loan period , what was the rate of interest ? The options: A ) 3.6 , B ) 7 , C ) 18 , D ) CAn not BE DEtErminED , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "what is x if x + 5 y = 24 and y = 2 ? The options: A ) 1 , B ) 3 , C ) 5 , D ) 7 , E ) 14", "input": "", "output": "", "answer": "E" }, { "instruction": "the wages earned by robin is 20 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? The options: A ) 18.75 % , B ) 33 % , C ) 30 % , D ) 50 % , E ) 100 %", "input": "", "output": "", "answer": "B" }, { "instruction": "there are two numbers . if 10 % of the first number is added to the second number , then the second number increases to its 6 - fifth . what is the ratio of the first number to the second number ? The options: A ) 3 : 2 , B ) 4 : 3 , C ) 8 : 7 , D ) 5 : 8 , E ) 2 : 1", "input": "", "output": "", "answer": "E" }, { "instruction": "each child has 2 pencils and 13 skittles . if there are 6 children , how many pencils are there in total ? The options: A ) 16 , B ) 12 , C ) 18 , D ) 22 , E ) 08", "input": "", "output": "", "answer": "B" }, { "instruction": "a reduction of 40 % in the price of bananas would enable a man to obtain 60 more for rs . 40 , what is reduced price per dozen ? The options: A ) 1.2 , B ) 2.2 , C ) 3.2 , D ) 4.2 , E ) 5", "input": "", "output": "", "answer": "C" }, { "instruction": "in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.6 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 70 liters and a truck ' s tank is 120 % bigger and they are all empty - ? The options: A ) 312.6 $ , B ) 321.05 $ , C ) 343.7 $ , D ) 398.85 $ , E ) 412.12 $", "input": "", "output": "", "answer": "B" }, { "instruction": "a man two flats for $ 675958 each . on one he gains 16 % while on the other he loses 16 % . how much does he gain or lose in the whole transaction ? The options: A ) 2 % , B ) 2.56 % , C ) 3.12 % , D ) 4.65 % , E ) 5.12 %", "input": "", "output": "", "answer": "B" }, { "instruction": "in an office , 60 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ? The options: A ) 96 , B ) 64 , C ) 50 , D ) 144 , E ) 160", "input": "", "output": "", "answer": "A" }, { "instruction": "a rectangular lawn of dimensions 120 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? The options: A ) s . 5100 , B ) s . 3900 , C ) s . 3228 , D ) s . 3922 , E ) s . 3928", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 502 to 600 inclusive ? The options: A ) 23,550 , B ) 27,550 , C ) 31,550 , D ) 35,550 , E ) 39,550", "input": "", "output": "", "answer": "B" }, { "instruction": "if n is the greatest positive integer for which 2 ^ n is a factor of 8 ! , then n = ? The options: A ) 2 , B ) 4 , C ) 6 , D ) 8 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "when x is multiplied by 3 , the result is 18 more than the result of subtracting x from 70 . what is the value of x ? The options: A ) - 4 , B ) - 2 , C ) 11 , D ) 13 , E ) 22", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the average of xx , 2 x 2 x , and 66 ? The options: A ) x + 2 , B ) x + 2 x , C ) x + 2 x + 2 , D ) 2 x + 2 , E ) x + 2 x - 2", "input": "", "output": "", "answer": "C" }, { "instruction": "10 men can complete a work in 7 days . but 10 women need 14 days to complete the same work . how many days will 5 men and 10 women need to complete the work ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "vijay sells a cupboard at 10 % below cost price . had he got rs . 1500 more , he would have made a profit of 10 % . what is the cost price of the cupboard ? The options: A ) 7450 , B ) 7500 , C ) 7400 , D ) 7500 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "there has been successive increases of 20 % and then 10 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? The options: A ) 16 % , B ) 20 % , C ) 24 % , D ) 28 % , E ) 32 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of a rectangle is increased by 35 % and its breadth is decreased by 20 % . what is the effect on its area ? The options: A ) 10800 , B ) 1299 , C ) 1000 , D ) 10000 , E ) 2887", "input": "", "output": "", "answer": "A" }, { "instruction": "express 25 mps in kmph ? The options: A ) 23 , B ) 88 , C ) 90 , D ) 27 , E ) 21", "input": "", "output": "", "answer": "C" }, { "instruction": "a can finish a work in 24 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ? The options: A ) 6 , B ) 5 , C ) 5.5 , D ) 7 , E ) 8", "input": "", "output": "", "answer": "E" }, { "instruction": "a satellite is composed of 30 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? The options: A ) 5 / 6 , B ) 1 / 5 , C ) 1 / 6 , D ) 1 / 7 , E ) 1 / 24", "input": "", "output": "", "answer": "C" }, { "instruction": "a certain class of students is being divided into teams . the class can either be divided into 16 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ? The options: A ) 6 , B ) 36 , C ) 48 , D ) 60 , E ) 72", "input": "", "output": "", "answer": "C" }, { "instruction": "if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 320 , the cost of the article is The options: A ) 289 , B ) 231 , C ) 200 , D ) 288 , E ) 600", "input": "", "output": "", "answer": "E" }, { "instruction": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 5 dm by 5 dm . the number of stones required is : The options: A ) 180 , B ) 1800 , C ) 18 , D ) 2160 , E ) 1.8", "input": "", "output": "", "answer": "D" }, { "instruction": "on the number line , the number p is twice as many units from - 2 as - 2 is from 3 . if p is less than \u2013 2 , what is the value of p ? The options: A ) \u2013 12 , B ) \u2013 10 , C ) \u2013 6 , D ) 10 , E ) 14", "input": "", "output": "", "answer": "A" }, { "instruction": "before leaving home for the town of madison , pete checks a map which shows that madison is 6 inches from his current location , gardensquare . pete arrives in madison 2.5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ? The options: A ) 1 / 25 , B ) 1 / 30 , C ) 1 / 10 , D ) 2 , E ) 30", "input": "", "output": "", "answer": "A" }, { "instruction": "a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 480 less than the sum lent . what was the sum lent ? The options: A ) 700 , B ) 800 , C ) 900 , D ) 1000 , E ) 1100", "input": "", "output": "", "answer": "B" }, { "instruction": "all numbers from 1 to 200 ( in decimal system ) are written in base 6 and base 7 systems . how many of the numbers will have a non - zero units digit in both base 6 and base 7 notations ? The options: ['A ) 143', 'B ) 200', 'C ) 157', 'D ) 122', 'E ) 132']", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 25 seconds . find the length of the faster train ? The options: A ) 270 , B ) 250 , C ) 187 , D ) 257 , E ) 271", "input": "", "output": "", "answer": "B" }, { "instruction": "an urn contains 6 red , 5 blue and 2 green marbles . if 2 marbles are picked at random , what is the probability that both are red ? The options: A ) 6 / 13 , B ) 5 / 26 , C ) 6 / 26 , D ) 9 / 26 , E ) 10 / 27", "input": "", "output": "", "answer": "B" }, { "instruction": "if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ? The options: A ) 0.35 , B ) 3.5 , C ) 525 , D ) 350 , E ) 3500", "input": "", "output": "", "answer": "C" }, { "instruction": "solve below question 2 x + 1 = - 15 The options: A ) - 8 , B ) - 9 , C ) 9 , D ) 8 , E ) - 7", "input": "", "output": "", "answer": "A" }, { "instruction": "a salesman ' s income consists of a commission and a base salary of $ 350 per week . over the past 5 weeks , his weekly income totals have been $ 556 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ? The options: A ) $ 150 , B ) $ 290 , C ) $ 365 , D ) $ 715 , E ) $ 730", "input": "", "output": "", "answer": "B" }, { "instruction": "a man can row 4.8 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? The options: A ) 1.9 , B ) 1.7 , C ) 1.2 , D ) 1.5 , E ) 1.6", "input": "", "output": "", "answer": "E" }, { "instruction": "125 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? The options: A ) 12 litErs , B ) 32 litErs , C ) 41 litErs , D ) 50 litErs , E ) 34 litErs", "input": "", "output": "", "answer": "D" }, { "instruction": "a pupil ' s marks were wrongly entered as 35 instead of 23 . due to that the average marks for the class got increased by half . the number of pupils in the class is : The options: A ) 30 , B ) 80 , C ) 20 , D ) 25 , E ) 24", "input": "", "output": "", "answer": "E" }, { "instruction": "there are 6 baskets numbered from 1 to 6 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ? The options: A ) 90 , B ) 91 , C ) 210 , D ) 790 , E ) 910", "input": "", "output": "", "answer": "D" }, { "instruction": "in a lottery there are 100 prizes and 300 blanks . a lottery is drawn at random . what is the probability of getting a prize ? The options: A ) 1 / 2 , B ) 5 / 400 , C ) 1 / 5 , D ) 1 / 3 , E ) 1 / 4", "input": "", "output": "", "answer": "E" }, { "instruction": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 400 resolutions ? The options: A ) 708 m , B ) 704 m , C ) 774 m , D ) 714 m , E ) 563.2 m", "input": "", "output": "", "answer": "E" }, { "instruction": "q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years , what is definitely the difference between r and q ' s age ? The options: A ) 23 , B ) 28 , C ) 25 , D ) 19 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "if x and y are integers , what is the least positive number of 24 x + 21 y ? The options: A ) 3 , B ) 5 , C ) 6 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "the average of runs of a cricket player of 20 innings was 32 . how many runs must he make in his next innings so as to increase his average of runs by 3 ? The options: A ) 95 , B ) 106 , C ) 122 , D ) 116 , E ) 122", "input": "", "output": "", "answer": "A" }, { "instruction": "a sum of money deposited at c . i . amounts to rs . 500 in 3 years and to rs . 650 in 4 years . find the rate percent ? The options: A ) 25 % , B ) 30 % , C ) 35 % , D ) 40 % , E ) 45 %", "input": "", "output": "", "answer": "B" }, { "instruction": "joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 36400 , how many months will it take joan to pay back her mortgage ? The options: A ) 6 , B ) 8 , C ) 10 , D ) 11 , E ) 13", "input": "", "output": "", "answer": "A" }, { "instruction": "the average of first five multiples of 6 is The options: A ) 3 , B ) 18 , C ) 9 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "a big container is 35 % full with water . if 16 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ? The options: A ) 32 , B ) 40 , C ) 48 , D ) 54 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "in objective test a correct ans score 4 marks and on a wrong ans 2 marks are - - - . a student score 480 marks from 150 question . how many ans were correct ? The options: A ) 120 , B ) 130 , C ) 110 , D ) 150 , E ) 180", "input": "", "output": "", "answer": "B" }, { "instruction": "a number when divided by a certain divisor left remainder 251 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? The options: A ) 370 , B ) 365 , C ) 390 , D ) 456 , E ) 460", "input": "", "output": "", "answer": "C" }, { "instruction": "excluding stoppages , the average speed of a bus is 120 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? The options: A ) 15 min , B ) 18 min , C ) 16 min , D ) 20 min , E ) 40 min", "input": "", "output": "", "answer": "E" }, { "instruction": "the units digit of ( 10 ) ^ ( 87 ) + ( 93 ) ^ ( 46 ) is : The options: A ) 9 , B ) 4 , C ) 6 , D ) 8 , E ) 0", "input": "", "output": "", "answer": "A" }, { "instruction": "consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 9900 interest only for the period . the principal amount borrowed by her was The options: A ) rs . 2000 , B ) rs . 27500 , C ) rs . 15000 , D ) rs . 20000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "if the cost price is 96 % of the selling price , then what is the profit percent ? The options: A ) 4.17 % , B ) 5 % , C ) 6.12 % , D ) 3.25 % , E ) 5.75 %", "input": "", "output": "", "answer": "A" }, { "instruction": "how many multiples of 5 are there between 70 and 358 ? The options: A ) 54 , B ) 55 , C ) 56 , D ) 57 , E ) 58", "input": "", "output": "", "answer": "E" }, { "instruction": "a , b and c invests rs . 6000 , rs . 5000 and rs . 3000 in a business . after one year c removed his money ; a and b continued the business for two more year . if the net profit after 3 years be rs . 4206 , then c ' s share in the profit is ? The options: A ) 276 , B ) 289 , C ) 400 , D ) 350.5 , E ) 300", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum of money deposited at c . i . amounts to rs . 5000 in 5 years and to rs . 5750 in 6 years . find the rate percent ? The options: A ) 1 % , B ) 5 % , C ) 10 % , D ) 15 % , E ) 20 %", "input": "", "output": "", "answer": "D" }, { "instruction": "renu can do a piece of work in 6 days , but with the help of her friend suma , she can do it in 5 days . in what time suma can do it alone ? The options: A ) 10 , B ) 12 , C ) 14 , D ) 15 , E ) 30", "input": "", "output": "", "answer": "E" }, { "instruction": "if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 160 units ? The options: A ) 50 hours , B ) 40 hours , C ) 20 hours , D ) 12 hours , E ) 8 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "a policeman noticed a criminal from a distance of 200 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 3 minutes ? The options: A ) 100 m , B ) 120 m , C ) 130 m , D ) 150 m , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of 6 no . ' s is 3.95 . the average of 2 of them is 4 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ? The options: A ) 4.2 , B ) 4.4 , C ) 4.6 , D ) 5.6 , E ) 4", "input": "", "output": "", "answer": "E" }, { "instruction": "the population of a town increased from 50000 to 80000 in a decade . the average percent increase of population per year is : The options: A ) 4.37 % , B ) 5 % , C ) 6 % , D ) 8.75 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "calculate the speed of a boat in still water ( in km / hr ) if in one hour , the boat goes 13 km / hr downstream and 10 km / hr upstream . The options: A ) 3 kmph , B ) 9 kmph , C ) 4 kmph , D ) 8 kmph , E ) 6 kmph", "input": "", "output": "", "answer": "B" }, { "instruction": "in a single throw of a die , what is the probability of getting a number greater than 2 ? The options: A ) 1 / 2 , B ) 2 / 5 , C ) 1 / 3 , D ) 2 / 7 , E ) 2 / 3", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the probability that when a hand o f 6 cards is drawn from a well shuffled deck of 52 cards , it contains 2 queen ? The options: A ) 1 / 23445 , B ) 113 / 22434 , C ) 29187 By 1017926 , D ) 1017926 / 29187 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "carina has 130 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "if x = 1 / q and y = ( 2 / q ) - 6 , then for what value of q , x is equal to y ? The options: A ) 1 / 3 , B ) 1 / 6 , C ) 6 , D ) 3 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ? The options: A ) rs . 1000 , B ) rs . 1100 , C ) rs . 1200 , D ) rs . 1250 , E ) rs . 1500", "input": "", "output": "", "answer": "A" }, { "instruction": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 50 days . The options: A ) 16 DAys . , B ) 17 DAys . , C ) 18 DAys . , D ) 30 DAys . , E ) 20 DAys .", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain telescope increases the visual range at a particular location from 70 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ? The options: A ) 30 % , B ) 33 1 / 2 % , C ) 40 % , D ) 60 % , E ) 114.28 %", "input": "", "output": "", "answer": "E" }, { "instruction": "circular gears l and r start to rotate at the same time at the same rate . gear l makes 10 complete revolutions per minute and gear r makes 40 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 9 more revolutions than gear l ? The options: A ) A ) 6 , B ) B ) 8 , C ) C ) 10 , D ) D ) 18 , E ) E ) 15", "input": "", "output": "", "answer": "D" }, { "instruction": "find the simple interest on rs . 68,000 at 16 2 / 3 % per annum for 9 months . The options: A ) rs . 8500 , B ) rs . 8000 , C ) rs . 7500 , D ) rs . 7000 , E ) rs . 6500", "input": "", "output": "", "answer": "A" }, { "instruction": "three cubes of iron whose edges are 6 cm , 8 cm and 10 cm respectively are melted and formed into a single cube . the edge of the new cube formed is The options: ['A ) 10 Cm', 'B ) 12 Cm', 'C ) 16 Cm', 'D ) 18 Cm', 'E ) nonE']", "input": "", "output": "", "answer": "B" }, { "instruction": "two trains are moving in the same direction at 126 kmph and 54 kmph . the faster train crosses a man in the slower train in 14 seconds . find the length of the faster train ? The options: A ) 280 , B ) 290 , C ) 300 , D ) 310 , E ) 320", "input": "", "output": "", "answer": "A" }, { "instruction": "if n is a prime number greater than 17 , what is the remainder when n ^ 2 is divided by 12 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the remainder when 17 ^ 200 is divided by 18 ? The options: A ) 3 , B ) 1 , C ) 2 , D ) 4 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "a block of wood has dimensions 10 cm x 10 cm x 90 cm . the block is painted red and then cut evenly at the 45 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? The options: A ) 5 % , B ) 10 % , C ) 15 % , D ) 20 % , E ) 25 %", "input": "", "output": "", "answer": "A" }, { "instruction": "after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? The options: A ) 5 , B ) 4 , C ) 7 , D ) 3 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? The options: A ) 75 , B ) 125 , C ) 145 , D ) 175 , E ) 225", "input": "", "output": "", "answer": "E" }, { "instruction": "a can finish a work in 36 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ? The options: A ) 15 DAys , B ) 12 DAys , C ) 6 DAys , D ) 7 DAys , E ) 8 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 20 poles with a constant distance between each pole . a car takes 26 second to reach the 12 th pole . how much will it take to reach the last pole . The options: A ) 44.4543 , B ) 44.9091 , C ) 44.95128 , D ) 44.91288 , E ) 44.91222", "input": "", "output": "", "answer": "B" }, { "instruction": "p has $ 21 more than what q and r together would have had if both b and c had 1 / 5 of what p has . how much does p have ? The options: A ) $ 35 , B ) $ 36 , C ) $ 37 , D ) $ 38 , E ) $ 39", "input": "", "output": "", "answer": "A" }, { "instruction": "a large box contains 18 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? The options: A ) 350 , B ) 250 , C ) 450 , D ) 550 , E ) 650", "input": "", "output": "", "answer": "C" }, { "instruction": "because he \u2019 s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ? The options: A ) 32.5 % , B ) 34 % , C ) 35 % , D ) 31.67 % , E ) 37.5 %", "input": "", "output": "", "answer": "D" }, { "instruction": "if p ( a ) = 0.4 , p ( b ) = 0.6 and p ( a \u222a b ) = 0.8 . what is the value of p ( a \u2229 b ' ) = ? The options: A ) 0.1 , B ) 0.2 , C ) 0.3 , D ) 0.4 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 26000 , then the share of b is ? The options: A ) s . 12028 , B ) s . 12000 , C ) s . 12003 , D ) s . 12029 , E ) s . 24029", "input": "", "output": "", "answer": "B" }, { "instruction": "find the number which is nearest to 3105 and is exactly divisible by 21 . The options: A ) 1208 , B ) 3108 , C ) 241 , D ) 217 , E ) 3147", "input": "", "output": "", "answer": "B" }, { "instruction": "evaluate : 980 x 436 + 980 x 764 The options: A ) 1176000 , B ) 968000 , C ) 978000 , D ) 117000 , E ) nonE oF thEm", "input": "", "output": "", "answer": "A" }, { "instruction": "how many terminating zeroes r does 200 ! have ? The options: A ) 40 , B ) 48 , C ) 49 , D ) 55 , E ) 64", "input": "", "output": "", "answer": "C" }, { "instruction": "a girl walking at the rate of 9 km per hour crosses a square field diagonally in 12 seconds . the area of the field is : The options: ['A ) 430 sq . m', 'B ) 425 sq . m', 'C ) 450 sq . m', 'D ) 475 sq . m', 'E ) 350 sq . m']", "input": "", "output": "", "answer": "C" }, { "instruction": "x , y , and z are all unique numbers . if x is chosen randomly from the set { 6 , 7 , 8 , 9 , 10 , 11 } and y and z are chosen randomly from the set { 20 , 21 , 22 , 23 } , what is the probability that x and y are prime and z is not ? The options: A ) 1 / 5 , B ) 3 / 20 , C ) 2 / 15 , D ) 1 / 12 , E ) 1 / 10", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the total number of integers between 20 and 100 that are divisible by 9 ? The options: A ) 5 , B ) 15 , C ) 12 , D ) 7 , E ) 9", "input": "", "output": "", "answer": "E" }, { "instruction": "the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle The options: A ) A ) 72 , B ) B ) 828 , C ) C ) 50 , D ) D ) 34 , E ) E ) 35", "input": "", "output": "", "answer": "C" }, { "instruction": "the price of an article is cut by 10 % . to restore it to the former value . the new price must be increased by ? The options: A ) 10 % , B ) 9 1 / 11 , C ) 11 1 / 9 , D ) 11 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "the probability that event b occurs is 0.6 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.4 , what is the probability that event a will occur ? The options: A ) 0.05 , B ) 0.15 , C ) 0.45 , D ) 0.5 , E ) 0.55", "input": "", "output": "", "answer": "A" }, { "instruction": "if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ? The options: A ) 3 , B ) 4 , C ) 6 , D ) 8 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "in a certain group of 10 developers , 4 developers code only in python and the rest program in either ruby on rails or php - but not both . if a developer organization is to choose a 3 - member team , which must have at least 1 developer who codes in python , how many different programming teams can be chosen ? The options: A ) 100 , B ) 40 , C ) 66 , D ) 80 , E ) 75", "input": "", "output": "", "answer": "A" }, { "instruction": "a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 920 gm . for a kg . his gain is \u2026 % . The options: A ) 5.26 % , B ) 5.36 % , C ) 4.26 % , D ) 6.26 % , E ) 8.69 %", "input": "", "output": "", "answer": "E" }, { "instruction": "5.40 can be expressed in terms of percentage as The options: A ) 5.04 % , B ) 50.4 % , C ) 209 % , D ) 540 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer \u2019 s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer \u2019 s suggested retail price o f $ 25.00 ? The options: A ) $ 14.00 , B ) $ 11.20 , C ) $ 14.40 , D ) $ 16.00 , E ) $ 18.00", "input": "", "output": "", "answer": "A" }, { "instruction": "a number is mistakenly divided by 5 instead of being multiplied by 5 . find the percentage change in the result due t this mistake . The options: A ) 96 % , B ) 95 % , C ) 2400 % , D ) 200 % , E ) 400 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the first , second and third terms of the proportion are 56 , 16 , 49 . find the fourth term . The options: A ) 10 , B ) 14 , C ) 40 , D ) 50 , E ) 60", "input": "", "output": "", "answer": "B" }, { "instruction": "during a sale , the price of a pair of shoes is marked down 10 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ? The options: A ) 9 % , B ) 10 % , C ) 11 % , D ) 15 % , E ) 90 %", "input": "", "output": "", "answer": "C" }, { "instruction": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 324 per week . how much does she earn in dollars per hour ? The options: A ) 2 , B ) 8 , C ) 9 , D ) 1 , E ) 2", "input": "", "output": "", "answer": "C" }, { "instruction": "determine the value of 3 * 27 / 31 + 81 / 93 The options: A ) 0 , B ) 156 / 31 , C ) 123 / 31 , D ) 151 / 31 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds e in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ? The options: A ) 25 % , B ) 35 % , C ) 45 % , D ) 70 % , E ) 80 %", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the smallest integer t greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ? The options: A ) 21 , B ) 41 , C ) t = 121 , D ) 241 , E ) 481", "input": "", "output": "", "answer": "C" }, { "instruction": "a train 150 m long running at 72 kmph crosses a platform in 20 sec . what is the length of the platform ? The options: A ) 443 m , B ) 354 m , C ) 450 m , D ) 350 m , E ) 250 m", "input": "", "output": "", "answer": "E" }, { "instruction": "in bangalore there is a well known science institute . during a visit i asked two of the men to tell me their ages . one replied , ' one of our ages subtracted from the other ' s equal 30 . ' then the other man spoke . ' our ages multiplied together equal 1624 . ' what were their ages ? The options: A ) 60 AnD 23 , B ) 66 AnD 25 , C ) 29 AnD 56 , D ) 71 AnD 43 , E ) 58 AnD 28", "input": "", "output": "", "answer": "E" }, { "instruction": "the smallest number when increased by ` ` 1 ` ` is exactly divisible by 2 , 8 , 24 , 36 is : The options: A ) 71 , B ) 70 , C ) 72 , D ) 73 , E ) 36", "input": "", "output": "", "answer": "A" }, { "instruction": "a person bought 135 glass bowls at a rate of rs . 15 per bowl . he sold 115 of them at rs . 18 and the remaining broke . what is the percentage gain for a ? The options: A ) 40 , B ) 30 / 11 , C ) 20 / 9 , D ) 27 / 11 , E ) 29 / 8", "input": "", "output": "", "answer": "C" }, { "instruction": "the price of an item is discounted 3 percent on day 1 of a sale . on day 2 , the item is discounted another 3 percent , and on day 3 , it is discounted an additional 10 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ? The options: A ) 85.1 % , B ) 86.9 % , C ) 87.3 % , D ) 88.8 % , E ) 89.5 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the maximum number of students among them 1200 pens and 820 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? The options: A ) 40 , B ) 20 , C ) 60 , D ) 80 , E ) 65", "input": "", "output": "", "answer": "B" }, { "instruction": "in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ? The options: A ) 400 , B ) 625 , C ) 1,250 , D ) 2,000 , E ) 10,000", "input": "", "output": "", "answer": "D" }, { "instruction": "r is the set of positive odd integers less than 100 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ? The options: A ) nonE , B ) two , C ) Four , D ) FivE , E ) sEvEn", "input": "", "output": "", "answer": "D" }, { "instruction": "a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ? The options: A ) 20 , B ) 25 , C ) 30 , D ) 40 , E ) 50", "input": "", "output": "", "answer": "D" }, { "instruction": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m ? The options: A ) 28000 , B ) 27908 , C ) 78902 , D ) 25000 , E ) 27991", "input": "", "output": "", "answer": "A" }, { "instruction": "an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 20286 / - in 3 years at the same rate of interest . find the rate percentage ? The options: A ) 5 % , B ) 7 % , C ) 9 % , D ) 15 % , E ) 12 %", "input": "", "output": "", "answer": "D" }, { "instruction": "david works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 600 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 4,800 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ? The options: A ) 2400 , B ) 3600 , C ) 3000 , D ) 2800 , E ) 2500", "input": "", "output": "", "answer": "A" }, { "instruction": "5 years ago , the average age of a , b , c and d was 45 years . with e joining them now , the average of all the 5 is 50 years . the age of e is ? The options: A ) 50 , B ) 47 , C ) 48 , D ) 49 , E ) 46", "input": "", "output": "", "answer": "A" }, { "instruction": "sandy bought 65 books for $ 1180 from one shop and 55 books for $ 860 from another shop . what is the average price that sandy paid per book ? The options: A ) $ 13 , B ) $ 15 , C ) $ 17 , D ) $ 19 , E ) $ 21", "input": "", "output": "", "answer": "C" }, { "instruction": "there are 15 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are to be chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? The options: A ) 1 / 3 , B ) 7 / 22 , C ) 1 / 9 , D ) 7 / 66 , E ) 2 / 45", "input": "", "output": "", "answer": "D" }, { "instruction": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ? The options: A ) 6 hr , B ) 5.6 hr , C ) 9.5 hr , D ) 7.2 hr , E ) 4 hr", "input": "", "output": "", "answer": "D" }, { "instruction": "approximately how many cubic feet of water are needed to fill a circular swimming pool that is 40 feet across and 7 feet deep ? The options: A ) 700 , B ) 1500 , C ) 3000 , D ) 5000 , E ) 9000", "input": "", "output": "", "answer": "E" }, { "instruction": "in a graduate physics course , 70 percent of the students are male and 40 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ? The options: A ) 2 / 7 , B ) 5 / 3 , C ) 1 / 2 , D ) 2 / 3 , E ) 1 / 3", "input": "", "output": "", "answer": "E" }, { "instruction": "( 3 x + 2 ) ( 2 x - 1 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? The options: A ) 5 , B ) 8 , C ) 9 , D ) 10 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "a fruit seller had some oranges . he sells 40 % oranges and still has 600 oranges . how many oranges he had originally ? The options: A ) 700 , B ) 710 , C ) 1000 , D ) 730 , E ) 740", "input": "", "output": "", "answer": "C" }, { "instruction": "if the sides of a triangle are 196 cm , 81 cm and 277 cm , what is its area ? The options: A ) 5000 , B ) 5656 , C ) 7878 , D ) 7900 , E ) 7938", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the average ( arithmetic mean ) of 10 , 2030 , 4050 , 6070 , 8090 ? The options: A ) 90 , B ) 95 , C ) 70 , D ) 85 , E ) 50", "input": "", "output": "", "answer": "E" }, { "instruction": "a man swims downstream 100 km and upstream 30 km taking 10 hours each time ; what is the speed of the current ? The options: A ) 2.5 , B ) 3.5 , C ) 4.5 , D ) 5.3 , E ) 3.4", "input": "", "output": "", "answer": "B" }, { "instruction": "the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 1323 sq m , then what is the breadth of the rectangular plot ? The options: A ) 11 , B ) 17 , C ) 18 , D ) 21 , E ) 1322", "input": "", "output": "", "answer": "D" }, { "instruction": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.3 cubic inches , what is the original volume of the cubic ice , in cubic inches ? The options: A ) 2.5 , B ) 3.0 , C ) 4.8 , D ) 6.5 , E ) 8.0", "input": "", "output": "", "answer": "C" }, { "instruction": "the perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ? The options: A ) 22 , B ) 35 , C ) 77 , D ) 54 , E ) 38", "input": "", "output": "", "answer": "E" }, { "instruction": "for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 6 of whom are females , by how much does the index for the females exceed the index for the males in the group ? The options: A ) 0.4 , B ) 0.0625 , C ) 0.2 , D ) 0.25 , E ) 0.6", "input": "", "output": "", "answer": "A" }, { "instruction": "x does a work in 40 days . y does the same work in 60 days . in how many days they together will do the same work ? The options: A ) 10 , B ) 12 , C ) 24 , D ) 30 , E ) 15", "input": "", "output": "", "answer": "C" }, { "instruction": "the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the sum and the number if the ratio between the digits of the number is 1 : 2 ? The options: A ) 6 , B ) 8 , C ) 10 , D ) 14 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "7 carpet - weavers can weave 7 carpets in 7 days . at the same rate , how many carpets would be woven by 14 carpet - weavers in 14 days ? The options: A ) 14 , B ) 28 , C ) 21 , D ) 35 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "what is the speed of the stream if a canoe rows upstream at 6 km / hr and downstream at 12 km / hr The options: A ) 1 kmph , B ) 4 kmph , C ) 3 kmph , D ) 2 kmph , E ) 1.9 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he save ? The options: A ) 45 % , B ) 40 % , C ) 25 % , D ) 28 % , E ) 33.33 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a train passes a station platform in 40 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? The options: A ) 615 m , B ) 240 m , C ) 180 m , D ) 197 m , E ) 691 m", "input": "", "output": "", "answer": "C" }, { "instruction": "speed of a boat in standing water is 10 kmph and speed of the stream is 1.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ? The options: A ) 20.48 hours , B ) 21.48 hours , C ) 22.48 hours , D ) 23.48 hours , E ) 24.48 hours", "input": "", "output": "", "answer": "B" }, { "instruction": "a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 587.75 . how many boxes of plain cookies did she sell ? The options: A ) 0 , B ) 233 , C ) 500 , D ) 695 , E ) 787", "input": "", "output": "", "answer": "E" }, { "instruction": "find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder The options: A ) 1636 , B ) 1346 , C ) 1378 , D ) 1635 , E ) 1489", "input": "", "output": "", "answer": "A" }, { "instruction": "two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every fourth , starting with the fourth , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? The options: A ) 66 , B ) 68 , C ) 70 , D ) 64 , E ) 72", "input": "", "output": "", "answer": "D" }, { "instruction": "what least number must be added to 3000 to obtain a number exactly divisible by 19 ? The options: A ) 2 , B ) 1 , C ) 4 , D ) 18 , E ) 17", "input": "", "output": "", "answer": "A" }, { "instruction": "the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ? The options: A ) 0.05 , B ) 0.15 , C ) 0.45 , D ) 0.5 , E ) 0.55", "input": "", "output": "", "answer": "E" }, { "instruction": "the length of the bridge , which a train 130 metres long and travelling at 36 km / hr can cross in 45 seconds , is : The options: A ) 320 m , B ) 225 m , C ) 245 m , D ) 250 m , E ) 240 m", "input": "", "output": "", "answer": "A" }, { "instruction": "the speed of a car increases by 2 kms after every one hour . if the distance travelled in the first one hour was 35 kms , what was the total distance travelled in 12 hours ? The options: A ) 456 kms , B ) 482 kms , C ) 552 kms , D ) 556 kms , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "evaluate : 11110 + 24 * 3 * 10 = ? The options: A ) 90111 , B ) 52631 , C ) 11190 , D ) 65321 , E ) 11133", "input": "", "output": "", "answer": "C" }, { "instruction": "mariah has decided to hire three workers . to determine whom she will hire , she has selected a group of 15 candidates . she plans to have one working interview with 3 of the 15 candidates every day to see how well they work together . how many days will it take her to have working interviews with all the different combinations of job candidates ? The options: A ) 720 , B ) 120 , C ) 300 , D ) 360 , E ) 333", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the difference between the largest number and the least number written with the digits 6 , 3 , 2 , 5 ? The options: A ) 6084 , B ) 4176 , C ) 2077 , D ) 2721 , E ) 1812", "input": "", "output": "", "answer": "B" }, { "instruction": "a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years . The options: A ) 3.2 , B ) 3.75 , C ) 4 , D ) 4.25 , E ) 4.5", "input": "", "output": "", "answer": "A" }, { "instruction": "a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ? The options: A ) 30 , B ) 34 , C ) 38 , D ) 42 , E ) 46", "input": "", "output": "", "answer": "C" }, { "instruction": "in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 7 to the thrice of the remainder . the dividend is The options: A ) 74 , B ) 78 , C ) 86 , D ) 92 , E ) 106", "input": "", "output": "", "answer": "E" }, { "instruction": "a and b together can do a piece of work in 8 days . if a alone can do the same work in 20 days , then b alone can do the same work in ? The options: A ) 0.075 DAys , B ) 0.45 DAys , C ) 0.55 DAys , D ) 0.25 DAys , E ) 0.15 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "circular gears l and r start to rotate at the same time at the same rate . gear l makes 20 complete revolutions per minute and gear r makes 60 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 8 more revolutions than gear l ? The options: A ) A ) 6 , B ) B ) 8 , C ) C ) 10 , D ) D ) 14 , E ) E ) 12", "input": "", "output": "", "answer": "E" }, { "instruction": "for all positive integers m and v , the expression m \u03b8 v represents the remainder when m is divided by v . what is the value of ( ( 90 \u03b8 33 ) \u03b8 17 ) - ( 97 \u03b8 ( 33 \u03b8 17 ) ) ? The options: A ) 0 , B ) 2 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the range of all the roots of | x ^ 2 - 3 | = x ? The options: A ) 4 , B ) 3 , C ) 2 , D ) 1 , E ) 0", "input": "", "output": "", "answer": "C" }, { "instruction": "if 1,000 microns = 1 decimeter , and 1,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ? The options: A ) 1,000 , B ) 100 , C ) 1 , 000,000 , D ) 10 , E ) 10,000", "input": "", "output": "", "answer": "C" }, { "instruction": "if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ? The options: A ) 14 , B ) 24 , C ) 34 , D ) 12 , E ) 13", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of three consecutive numbers is 63 . the greatest among these three number is : The options: A ) 26 , B ) 28 , C ) 29 , D ) 22 , E ) 31", "input": "", "output": "", "answer": "D" }, { "instruction": "machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ? The options: A ) 3 , B ) 5 , C ) 7 , D ) 9 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "the c . p of 20 books is equal to the s . p of 30 books . find his gain % or loss % ? The options: A ) 63.33 % , B ) 34.33 % , C ) 33.33 % , D ) 31.33 % , E ) 36.33 %", "input": "", "output": "", "answer": "C" }, { "instruction": "weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ? The options: A ) 18 % , B ) 10 % , C ) 21 % , D ) 16 % , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "in the manufacture of a certain product , 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ? The options: A ) 0.125 % , B ) 0.28 % , C ) 0.8 % , D ) 1.25 % , E ) 2.0 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 7 students ? The options: A ) 14 yEArs , B ) 17 yEArs , C ) 19 yEArs , D ) 38 yEArs , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "a trader bought a car at 30 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ? The options: A ) 18 % , B ) 26 % , C ) 12 % , D ) 32 % , E ) 15 %", "input": "", "output": "", "answer": "B" }, { "instruction": "a boy goes to his school from his house at a speed of 3 km / hr and return at a speed of 2 km / hr . if he takes 5 hours in going and coming , the distance between his house and school is ? The options: A ) 5 km , B ) 6 km , C ) 10 km , D ) 12 km , E ) 8 km", "input": "", "output": "", "answer": "B" }, { "instruction": "how many seconds will a 600 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ? The options: A ) 700 , B ) 288 , C ) 500 , D ) 277 , E ) 121", "input": "", "output": "", "answer": "A" }, { "instruction": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and b together can do it in 2 hours . how long will c alone take to do it ? The options: A ) 12 hours , B ) 10 hours , C ) 6 hours , D ) 8 hours , E ) 4 hours", "input": "", "output": "", "answer": "A" }, { "instruction": "a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 60 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ? The options: A ) 20 , B ) 25 , C ) 35 , D ) 40 , E ) 55", "input": "", "output": "", "answer": "B" }, { "instruction": "cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ? The options: A ) q = 200 , B ) q = 600 , C ) q = 800 , D ) q = 1600 , E ) q = 50", "input": "", "output": "", "answer": "D" }, { "instruction": "albert is 2 times mary \u2019 s age and 4 times as old as betty . mary is 12 years younger than albert . how old is betty ? The options: A ) 6 , B ) 12 , C ) 10 , D ) 15 , E ) 18", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the next number : 2 , 10 , 82 , __ The options: A ) 630 , B ) 730 , C ) 830 , D ) 848 , E ) 900", "input": "", "output": "", "answer": "B" }, { "instruction": "the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ? The options: A ) 23 % , B ) 18.75 % , C ) 28.57 % , D ) 50 % , E ) 100 %", "input": "", "output": "", "answer": "C" }, { "instruction": "marts income is 50 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income The options: A ) 124 % , B ) B ) 120 % , C ) C ) 96 % , D ) D ) 90 % , E ) E ) 64 %", "input": "", "output": "", "answer": "D" }, { "instruction": "what least number should be subtracted from 13601 such that the remainder is divisible by 87 ? The options: A ) 27 , B ) 29 , C ) 28 , D ) 30 , E ) 31", "input": "", "output": "", "answer": "B" }, { "instruction": "if the complement of a certain angle is 7 times the measure of that certain angle , then what is the measure of that certain angle ? The options: A ) 45 \u00b0 , B ) 30 \u00b0 , C ) 22.5 \u00b0 , D ) 18 \u00b0 , E ) 11.25 \u00b0", "input": "", "output": "", "answer": "E" }, { "instruction": "if the average ( arithmetic mean ) of x and y is 80 , and z \u2013 x = 100 , what is the average of y and z ? The options: A ) 140 , B ) 100 , C ) 110 , D ) 120 , E ) 130", "input": "", "output": "", "answer": "E" }, { "instruction": "the area of a triangle is with base 2 m and height 5 m ? The options: A ) 11 , B ) 10 , C ) 787 , D ) 122 , E ) 5", "input": "", "output": "", "answer": "E" }, { "instruction": "the ratio of 2 numbers is 2 : 8 and their h . c . f . is 40 . their l . c . m . is ? The options: A ) 400 , B ) 120 , C ) 80 , D ) 320 , E ) 40", "input": "", "output": "", "answer": "D" }, { "instruction": "if n divided by 3 has a remainder of 2 , what is the remainder when 2 times n is divided by 3 ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 5 , E ) 0", "input": "", "output": "", "answer": "A" }, { "instruction": "ramu bought an old car for rs . 38000 . he spent rs . 12000 on repairs and sold it for rs . 64900 . what is his profit percent ? The options: A ) 17 % , B ) 19 % , C ) 18 % , D ) 14 % , E ) 29.8 %", "input": "", "output": "", "answer": "E" }, { "instruction": "two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 90 kmph and 70 kmph respectively . in what time will they cross each other completely ? The options: A ) 15 sEC , B ) 19 sEC , C ) 12 sEC , D ) 10 sEC , E ) 11.25 sEC", "input": "", "output": "", "answer": "E" }, { "instruction": "the mass of 1 cubic meter of a substance is 200 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) The options: A ) 0.8 , B ) 1.25 , C ) 8.0 , D ) 12.5 , E ) 5.0", "input": "", "output": "", "answer": "E" }, { "instruction": "alfred buys an old scooter for $ 4700 and spends $ 800 on its repairs . if he sells the scooter for $ 6400 , his gain percent is ? The options: A ) 5.45 % , B ) 16.36 % , C ) 7 % , D ) 8.12 % , E ) 10 %", "input": "", "output": "", "answer": "B" }, { "instruction": "3251 + 587 + 369 - ? = 3007 The options: A ) 1250 , B ) 1300 , C ) 1375 , D ) 1200 , E ) nonE oF thEm", "input": "", "output": "", "answer": "D" }, { "instruction": "the manufacturer \u2019 s suggested retail price ( msrp ) of a certain item is $ 60 . store a sells the item for 20 percent more than the msrp . the regular price of the item at store b is 30 percent more than the msrp , but the item is currently on sale for 10 percent less than the regular price . if sales tax is 5 percent of the purchase price at both stores , what is the result when the total cost of the item at store b is subtracted from the total cost of the item at store a ? The options: A ) $ 0 , B ) $ 0.63 , C ) $ 1.80 , D ) $ 1.89 , E ) $ 2.10", "input": "", "output": "", "answer": "D" }, { "instruction": "in business , a and c invested amounts in the ratio 3 : 2 , whereas the ratio between amounts invested by a and b was 3 : 4 , if rs 30,000 was their profit , how much amount did b receive . The options: A ) 1235 , B ) 62896 , C ) 6666 , D ) 8974 , E ) 5626", "input": "", "output": "", "answer": "C" }, { "instruction": "if the selling price of 100 articles is equal to the cost price of 63 articles , then the loss or gain percent is : The options: A ) 39 % , B ) 36 % , C ) 35 % , D ) 40 % , E ) 37 %", "input": "", "output": "", "answer": "E" }, { "instruction": "rs . 1775 is divided amongst a , b , c so that 5 times a ' s share , 3 times b ' s share and 7 times c ' s share are all equal . find c ' s share ? The options: A ) 177 , B ) 150 , C ) 817 , D ) 716 , E ) 375", "input": "", "output": "", "answer": "E" }, { "instruction": "n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 4 ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "C" }, { "instruction": "a team won 50 percent of its first 60 games in a particular season , and 80 percent of its remaining games . if the team won a total of 60 percent of its games that season , what was the total number of games that the team played ? The options: A ) 180 , B ) 120 , C ) 90 , D ) 85 , E ) 30", "input": "", "output": "", "answer": "C" }, { "instruction": "if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 23 , find the value of ab . The options: A ) 5 , B ) 8 , C ) 7 , D ) 10 , E ) 3", "input": "", "output": "", "answer": "C" }, { "instruction": "a person buys an article at $ 380 . at what price should he sell the article so as to make a profit of 25 % ? The options: A ) 445 , B ) 449 , C ) 475 , D ) 740 , E ) 460", "input": "", "output": "", "answer": "C" }, { "instruction": "in certain code ' twice ' is written as ' 34 $ 5 \u03b4 ' and ' wears ' is written as ' 4 \u03b4 29 % ' . how is ' seat ' written in that code ? The options: A ) 22 , B ) 23 , C ) 697 , D ) 66 p , E ) 82", "input": "", "output": "", "answer": "B" }, { "instruction": "the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 12.5 percent , what was the annual interest rate last year ? The options: A ) 1 % , B ) 1.1 % , C ) 9.1 % , D ) 11.36 % , E ) 10.8 %", "input": "", "output": "", "answer": "D" }, { "instruction": "two pipes a and b can fill a cistern in 10 and 15 minutes respectively . both fill pipes are opened together , but at the end of 3 minutes , \u2018 b \u2019 is turned off . how much time will the cistern take to fill ? The options: A ) 6 min , B ) 8 min , C ) 10 min , D ) 12 min , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 8 km ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "find the simple interest on rs . 945 for 5 months at 4 paisa per month ? The options: A ) s . 325 , B ) s . 500 , C ) s . 200 , D ) s . 189 , E ) s . 211", "input": "", "output": "", "answer": "D" }, { "instruction": "find a sum for first 8 prime numbers ? The options: A ) 22 , B ) 28 , C ) 59 , D ) 77 , E ) 84", "input": "", "output": "", "answer": "D" }, { "instruction": "a jogger running at 9 km / hr along side a railway track is 290 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? The options: A ) 67 sEC , B ) 89 sEC , C ) 36 sEC , D ) 87 sEC , E ) 41 sEC", "input": "", "output": "", "answer": "E" }, { "instruction": "if you write down all the numbers from 1 to 100 , then how many times do you write 1 ? The options: A ) A ) 11 , B ) B ) 18 , C ) C ) 20 , D ) D ) 21 , E ) E ) 22", "input": "", "output": "", "answer": "D" }, { "instruction": "working simultaneously and independently at an identical constant rate , 20 machines of a certain type can produce a total of x units of product p in 4 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 3 x units of product p in 8 days ? The options: A ) 30 , B ) 32 , C ) 35 , D ) 38 , E ) 40", "input": "", "output": "", "answer": "A" }, { "instruction": "the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 31 inclusive . The options: A ) 220 , B ) 364 , C ) 410 , D ) 424 , E ) 450", "input": "", "output": "", "answer": "A" }, { "instruction": "find the l . c . m of 15 , 18 , 28 and 30 . The options: A ) 1800 , B ) 1260 , C ) 1460 , D ) 1600 , E ) 960", "input": "", "output": "", "answer": "B" }, { "instruction": "if o is the center of the circle in the figure above and the area of the unshaded sector is 5 , what is the area of the shaded region ? The options: ['A ) 25 / \u221a \u03c0', 'B ) 30 / \u221a \u03c0', 'C ) 20', 'D ) 25', 'E ) 30']", "input": "", "output": "", "answer": "D" }, { "instruction": "the smallest value of n , for which 2 n is not a prime number , is The options: A ) 2 , 3,4 , B ) 1 , 3,5 , C ) 2 , 5,6 , D ) 4 , 8,9 , E ) 12 , 14,16", "input": "", "output": "", "answer": "A" }, { "instruction": "if a mixture is 5 \u2044 9 alcohol by volume and 4 \u2044 9 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ? The options: A ) 1 / 4 , B ) 3 / 4 , C ) 5 / 4 , D ) 6 / 4 , E ) 7 / 4", "input": "", "output": "", "answer": "C" }, { "instruction": "two spherical balls lie on the ground touching . if one of the balls has a radius of 8 cm , and the point of contact is 12 cm above the ground , what is the radius of the other ball ( in centimeters ) ? The options: A ) 20 , B ) 24 , C ) 28 , D ) 32 , E ) 36", "input": "", "output": "", "answer": "B" }, { "instruction": "s = { 12 , 35 , 69 } t = { 45 , 67 , 13 } what is the probability that x chosen from s and y chosen from t will result x * y = even The options: A ) 5 / 9 , B ) 3 / 2 , C ) 1 / 2 , D ) 5 / 6 , E ) 6 / 5", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 110 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? The options: A ) 11 / 48,000 , B ) 1 / 8,100 , C ) 3 / 1,600 , D ) 1 / 90 , E ) 2 / 45", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain roller coaster has 3 cars , and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster . if a certain passenger is to ride the roller coaster 3 times , what is the probability that the passenger will ride in each of the 3 cars ? The options: A ) 0 , B ) 1 / 9 , C ) 2 / 9 , D ) 1 / 3 , E ) 1", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 100 people in a room , 4 / 5 are women . if 3 / 5 of the people are married , what is the maximum number of women in the room who could be unmarried ? The options: A ) 32 , B ) 34 , C ) 36 , D ) 38 , E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "one copy machine can make 25 copies a minute , and a second copy machine makes 35 copies a minute . if the two copiers work together , how long would it take them to make 4,800 copies ? The options: A ) 30 minutEs , B ) 40 minutEs , C ) 60 minutEs , D ) 70 minutEs , E ) 80 minutEs", "input": "", "output": "", "answer": "E" }, { "instruction": "a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 20 gallons of water and 40 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? The options: A ) 300 , B ) 75 , C ) 100 , D ) 150 , E ) 175", "input": "", "output": "", "answer": "A" }, { "instruction": "a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area w covered by the two roads ? The options: A ) 400 , B ) 1550 , C ) 1575 , D ) 1600 , E ) 1625", "input": "", "output": "", "answer": "C" }, { "instruction": "each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 53 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? The options: A ) 48 , B ) 50 , C ) 52 , D ) 54 , E ) 56", "input": "", "output": "", "answer": "D" }, { "instruction": "the diagonals of a rhombus are 18 cm and 22 cm . find its area ? The options: ['A ) 277', 'B ) 266', 'C ) 198', 'D ) 288', 'E ) 212']", "input": "", "output": "", "answer": "C" }, { "instruction": "if 20 liters of chemical x are added to 80 liters of a mixture that is 25 % chemical x and 75 % chemical y , then what percentage of the resulting mixture is chemical x ? The options: A ) 28 % , B ) 32 % , C ) 36 % , D ) 40 % , E ) 44 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a number increased by 20 % gives 600 . the number is The options: A ) 250 , B ) 400 , C ) 450 , D ) 500 , E ) 520", "input": "", "output": "", "answer": "D" }, { "instruction": "when a laptop is sold for rs . 49,000 , the owner loses 30 % . at what price must that laptop be sold in order to gain 30 % ? The options: A ) 87000 , B ) 88000 , C ) 89000 , D ) 90000 , E ) 91000", "input": "", "output": "", "answer": "E" }, { "instruction": "if a and b together can finish a work in 16 days . a can finish same work alone in 24 days then b alone can finish same work alone in how many days ? The options: A ) 30 DAys , B ) 48 DAys , C ) 40 DAys , D ) 36 DAys , E ) 50 DAys", "input": "", "output": "", "answer": "B" }, { "instruction": "if 5 a + 7 b = m , where a and b are positive integers , what is the largest possible value of m for which exactly one pair of integers ( a , b ) makes the equation true ? The options: A ) 35 , B ) 48 , C ) 69 , D ) 70 , E ) 74", "input": "", "output": "", "answer": "D" }, { "instruction": "the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 15 % ? The options: A ) 32.8 % , B ) 37.6 % , C ) 38.5 % , D ) 17.5 % , E ) 37.2 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the calendar of the year 2028 can be used again in the year ? The options: A ) 2041 , B ) 1951 , C ) 2056 , D ) 1971 , E ) 1973", "input": "", "output": "", "answer": "C" }, { "instruction": "a man speaks truth 3 out of 4 times . he throws a die and reports it to be a 6 . what is the probability of it being a 6 ? The options: A ) 3 / 5 , B ) 1 / 2 , C ) 3 / 4 , D ) 3 / 8 , E ) 3 / 6", "input": "", "output": "", "answer": "D" }, { "instruction": "a fair coin is tossed 11 times . what is the probability of getting more heads than tails in 11 tosses ? The options: A ) 1 / 2 , B ) 63 / 128 , C ) 4 / 7 , D ) 61 / 256 , E ) 63 / 64", "input": "", "output": "", "answer": "A" }, { "instruction": "on a sum of money , simple interest for 2 years is rs 660 and compound interest is rs 696.30 , the rate of interest being the same in both cases . The options: A ) 8 % , B ) 9 % , C ) 10 % , D ) 11 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 19404 / - in 3 years at the same rate of interest . find the rate percentage ? The options: A ) 5 % , B ) 7 % , C ) 9 % , D ) 10 % , E ) 12 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 30 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ? The options: A ) $ 37.80 , B ) $ 38.50 , C ) $ 39.20 , D ) $ 39.50 , E ) $ 41", "input": "", "output": "", "answer": "E" }, { "instruction": "a man is 22 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is : The options: A ) 14 yEArs , B ) 18 yEArs , C ) 20 yEArs , D ) 22 yEArs , E ) 16 yEArs", "input": "", "output": "", "answer": "C" }, { "instruction": "a is twice as good a work man as b and together they finish the work in 10 days . in how many days a alone can finish the work ? The options: A ) 23 , B ) 15 , C ) 77 , D ) 92 , E ) 61", "input": "", "output": "", "answer": "B" }, { "instruction": "pumps a , b , and c operate at their respective constant rates . pumps a and b , operating simultaneously , can fill a certain tank in 1 / 2 hours ; pumps a and c , operating simultaneously , can fill the tank in 1 / 2 hours ; and pumps b and c , operating simultaneously , can fill the tank in 2 hours . how many hours does it take pumps a , b , and c , operating simultaneously , to fill the tank . The options: A ) 1 / 3 , B ) 1 / 2 , C ) 1 / 4 , D ) 1 , E ) 5 / 6", "input": "", "output": "", "answer": "E" }, { "instruction": "if y > 0 , ( 10 y ) / 20 + ( 3 y ) / 10 is what percent of y ? The options: A ) 40 % , B ) 50 % , C ) 60 % , D ) 70 % , E ) 80 %", "input": "", "output": "", "answer": "E" }, { "instruction": "the ages of two persons differ by 16 years . if 6 years ago , the elder one be 3 times as old as the younger one , find their present ages . The options: A ) 10 yEArs AnD 18 yEArs , B ) 18 yEArs AnD 26 yEArs , C ) 20 yEArs AnD 28 yEArs , D ) 14 yEArs AnD 30 yEArs , E ) 16 yEArs AnD 25 yEArs", "input": "", "output": "", "answer": "D" }, { "instruction": "let the number which when multiplied by 11 is increased by 300 . The options: A ) 14 , B ) 20 , C ) 26 , D ) 28 , E ) 30", "input": "", "output": "", "answer": "E" }, { "instruction": "in a division , a student took 78 as divisor instead of 36 . his answer was 24 . the correct answer is - The options: A ) 42 , B ) 32 , C ) 48 , D ) 52 , E ) 38", "input": "", "output": "", "answer": "D" }, { "instruction": "an athlete takes 10 seconds to run 100 m . what is his avg . speed in miles per hour ? The options: A ) 22.37 , B ) 26.66 , C ) 24.35 , D ) 36.0 , E ) 42.44", "input": "", "output": "", "answer": "A" }, { "instruction": "chris age after 13 years will be 5 times his age 5 years back . what is the present age of chris ? The options: A ) A ) 20 , B ) B ) 25 , C ) C ) 15 , D ) D ) 22 , E ) E ) 12", "input": "", "output": "", "answer": "E" }, { "instruction": "a pair of articles was bought for $ 50 at a discount of 50 % . what must be the marked price of each of the article ? The options: A ) $ 25 , B ) $ 12.50 , C ) $ 29.65 , D ) $ 35.95 , E ) $ 45.62", "input": "", "output": "", "answer": "B" }, { "instruction": "a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is 40 % by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chloride stays the same , what will be the concentration of water in the mixture in 6 hours ? The options: A ) 18 % , B ) 20 % , C ) 22 % , D ) 24 % , E ) 26 %", "input": "", "output": "", "answer": "B" }, { "instruction": "in what proportion must rice at rs 3.10 per kg be mixed with rice at rs 3.75 per kg , so that the mixture be worth rs 3.25 a kg ? The options: A ) 7 / 3 , B ) 5 / 3 , C ) 10 / 3 , D ) 3 / 7 , E ) 11 / 5", "input": "", "output": "", "answer": "C" }, { "instruction": "the distance between 2 cities a and b is 1000 km . a train starts from a at 12 p . m . and travels towards b at 100 km / hr . another starts from b at 1 p . m . and travels towards a at 150 km / hr . at what time do they meet ? The options: A ) 11 Am . , B ) 12 p . m . , C ) 5 pm . , D ) 2 p . m . , E ) 1 p . m .", "input": "", "output": "", "answer": "C" }, { "instruction": "in a certain quiz that consists of 10 questions , each question after the first is worth 4 points more than the preceding question . if the 10 questions on the quiz are worth a total of 300 points , how many points is the third question worth ? The options: A ) 22 , B ) 24 , C ) 26 , D ) 20 , E ) 28", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 256 sq . feet , how many feet of fencing will be required ? The options: A ) 45.6 , B ) 40 , C ) 68 , D ) 88 , E ) 92", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 180 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ? The options: A ) 100 , B ) 104 , C ) 108 , D ) 112 , E ) 116", "input": "", "output": "", "answer": "C" }, { "instruction": "a reduction of 40 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ? The options: A ) 80 , B ) 72 , C ) 64 , D ) 56 , E ) 48", "input": "", "output": "", "answer": "C" }, { "instruction": "a tank contains 6,500 gallons of a solution that is 5 percent sodium chloride by volume . if 2,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ? The options: A ) 5.12 % , B ) 6.12 % , C ) 7.12 % , D ) 8.12 % , E ) 9.12 %", "input": "", "output": "", "answer": "D" }, { "instruction": "the l . c . m . of 2 numbers is 72 . the numbers are in the ratio 2 : 3 . find their sum ? The options: A ) 36 , B ) 40 , C ) 48 , D ) 60 , E ) 56", "input": "", "output": "", "answer": "D" }, { "instruction": "if a farmer sells 15 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 25 more chickens , he will run out of feed 3 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ? The options: A ) 12 , B ) 24 , C ) 48 , D ) 55 , E ) 49", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the max number of rectangular boxes , each measuring 4 inches by 6 inches by 10 inches , that can be packed into a rectangular packing box measuring 16 inches by 18 inches by 30 inches , if all boxes are aligned in the same direction ? The options: ['A ) 36', 'B ) 14', 'C ) 12', 'D ) 15', 'E ) 11']", "input": "", "output": "", "answer": "A" }, { "instruction": "after decreasing 80 % in the price of an article costs rs . 320 . find the actual cost of an article ? The options: A ) 2777 , B ) 2987 , C ) 1200 , D ) 9977 , E ) 1600", "input": "", "output": "", "answer": "E" }, { "instruction": "how many seconds will a 500 m long train take to cros a man walking with a speed of 3 kmph in the direction of the moving train if the speed of the train is 63 kmph The options: A ) 25 , B ) 30 , C ) 40 , D ) 45 , E ) 50", "input": "", "output": "", "answer": "B" }, { "instruction": "a batsman had a certain average of runs for 16 innings . in the 17 th innings , he made a score of 87 runs thereby increasing his average by 3 . what is his average after 17 innings ? The options: A ) 39 , B ) 88 , C ) 266 , D ) 278 , E ) 221", "input": "", "output": "", "answer": "A" }, { "instruction": "if a card is drawn from a well shuffled pack of cards , the probability of drawing a spade or a king is - . The options: A ) 2 / 10 , B ) 4 / 13 , C ) 3 / 5 , D ) 9 / 7 , E ) 1 / 4", "input": "", "output": "", "answer": "B" }, { "instruction": "the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 3 social studies teachers . if 2 committee members are to be selected at random to write the committee \u2019 s report , what is the probability that the two members selected will both be english teachers ? The options: A ) 2 / 3 , B ) 1 / 3 , C ) 2 / 9 , D ) 1 / 12 , E ) 1 / 24", "input": "", "output": "", "answer": "D" }, { "instruction": "a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 5 % his yearly income diminishes by rs . 61.50 . his capital is The options: A ) 22.378 , B ) 37.78 , C ) 76.88 , D ) 27.888 , E ) 12.771", "input": "", "output": "", "answer": "C" }, { "instruction": "thirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 19 have taken the preparatory course and 30 have not taken the course . how many members are there in the swim club ? The options: A ) 60 , B ) 70 , C ) 100 , D ) 120 , E ) 140", "input": "", "output": "", "answer": "B" }, { "instruction": "the decimal 0.1 is how many times greater than the decimal ( 0.01 ) ^ 3 ? The options: A ) 10 , B ) 10 ^ 2 , C ) 10 ^ 5 , D ) 10 ^ 8 , E ) 10 ^ 10", "input": "", "output": "", "answer": "C" }, { "instruction": "the current in a river is 5 mph . a boat can travel 20 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ? The options: A ) 69 milEs , B ) 88 milEs , C ) 93,75 milEs , D ) 100 milEs , E ) 112 milEs", "input": "", "output": "", "answer": "C" }, { "instruction": "let f ( x , y ) be defined as the remainder when ( x \u2013 y ) ! is divided by x . if x = 16 , what is the maximum value of y for which f ( x , y ) = 0 ? The options: A ) 5 , B ) 10 , C ) 15 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "B" }, { "instruction": "two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 249 marks in the second test and failed by 66 marks in that test . find the pass mark in the first test ? The options: A ) 768 , B ) 243 , C ) 246 , D ) 280 , E ) 224", "input": "", "output": "", "answer": "D" }, { "instruction": "the average of 10 numbers is 40.2 . later it is found that two numbers have been wrongly copied . the first is 14 greater than the actual number and the second number added is 13 instead of 31 . find the correct average . The options: A ) 40.2 , B ) 40.4 , C ) 40.6 , D ) 40.8 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "C" }, { "instruction": "in 1990 the budgets for projects q and v were $ 500,000 and $ 780,000 , respectively . in each of the next 10 years , the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000 . in which year was the budget for q equal to the budget for v ? The options: A ) 1992 , B ) 1993 , C ) 1994 , D ) 1995 , E ) 1997", "input": "", "output": "", "answer": "E" }, { "instruction": "how many numbers between 100 and 798 are divisible by 2 , 3 , and 7 together ? The options: A ) 112 , B ) 77 , C ) 267 , D ) 17 , E ) 99", "input": "", "output": "", "answer": "D" }, { "instruction": "a car traveled 340 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ? The options: A ) 504 , B ) 416 , C ) 321 , D ) 220 , E ) 170", "input": "", "output": "", "answer": "A" }, { "instruction": "1850 men have provisions for 15 days . if 150 more men join them , for how many days will the provisions last now ? The options: A ) 12.9 , B ) 12.0 , C ) 13.9 , D ) 13.5 , E ) 12.1", "input": "", "output": "", "answer": "C" }, { "instruction": "the product of the squares of two positive integers is 100 . how many pairs of positive integers satisfy this condition ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "a number increased by 30 % gives 780 . the number is The options: A ) 250 , B ) 400 , C ) 450 , D ) 600 , E ) 520", "input": "", "output": "", "answer": "D" }, { "instruction": "if a > x > y > z on the number line , y is halfway between x and z , and x is halfway between w and z , then ( y - x ) / ( y - a ) = The options: A ) 1 / 4 , B ) 1 / 3 , C ) 1 / 2 , D ) 3 / 4 , E ) 1", "input": "", "output": "", "answer": "B" }, { "instruction": "3 friends james , david and charlie divide $ 1230 amongs them in such a way that if $ 5 , $ 10 and $ 15 are removed from the sums that james , david and charlie received respectively , then the share of the sums that they got will be in the ratio of 9 : 10 : 11 . how much did charlie receive ? The options: A ) $ 600 , B ) $ 575 , C ) $ 550 , D ) $ 580 , E ) $ 615", "input": "", "output": "", "answer": "E" }, { "instruction": "if 2 + 3 = 31 ; 3 + 5 = 134 ; 5 + 7 = 368 then 7 + 11 = ? The options: A ) 1250 , B ) 1360 , C ) 1270 , D ) 1380 , E ) 1290", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? The options: A ) s . 1350 , B ) s . 1300 , C ) s . 1328 , D ) s . 1397 , E ) s . 1927", "input": "", "output": "", "answer": "B" }, { "instruction": "calculate the area of a triangle , if the sides of are 39 cm , 36 cm and 15 cm , what is its area ? The options: A ) 570 Cm 2 , B ) 370 Cm 2 , C ) 170 Cm 2 , D ) 271 Cm 2 , E ) 270 Cm 2", "input": "", "output": "", "answer": "E" }, { "instruction": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 20 hours . how much time he would have saved if the direction of tide has not changed ? The options: A ) 2 , B ) 8 , C ) 1 , D ) 6 , E ) 16", "input": "", "output": "", "answer": "E" }, { "instruction": "one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in ? The options: A ) 144 min , B ) 250 min , C ) 196 min , D ) 100 min , E ) 112 min", "input": "", "output": "", "answer": "A" }, { "instruction": "a man can do a job in 15 days . his father takes 20 days and his son finishes it in 15 days . how long will they take to complete the job if they all work together ? The options: A ) 6.3 , B ) 6.9 , C ) 5.5 , D ) 6.1 , E ) 6.2", "input": "", "output": "", "answer": "C" }, { "instruction": "how long does a train 250 meters long running at the rate of 72 km / hr take to cross a bridge 150 meters in length ? The options: A ) 10 sEC , B ) 20 sEC , C ) 25 sEC , D ) 30 sEC , E ) 35 sEC", "input": "", "output": "", "answer": "B" }, { "instruction": "the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30 . in which year will the price of commodity x be 10 cents less than the price of commodity y ? The options: A ) 2008 , B ) 2009 , C ) 2010 , D ) 2011 , E ) 2012", "input": "", "output": "", "answer": "B" }, { "instruction": "if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ? The options: A ) 567 , B ) 167 , C ) 267 , D ) 467 , E ) 667", "input": "", "output": "", "answer": "A" }, { "instruction": "john makes $ 50 a week from his job . he earns a raise and now makes $ 60 a week . what is the % increase ? The options: A ) 16 % , B ) 16.66 % , C ) 17.9 % , D ) 18.12 % , E ) 20 %", "input": "", "output": "", "answer": "E" }, { "instruction": "in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 90 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ? The options: A ) 69 . , B ) 83 . , C ) 81 , D ) 91 , E ) 108", "input": "", "output": "", "answer": "B" }, { "instruction": "john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ? The options: A ) $ 45.10 , B ) $ 34.31 , C ) $ 24.88 , D ) $ 67.54 , E ) $ 65.23", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1690 . the perimeter of the plot is ? The options: A ) 126 , B ) 156 , C ) 190 , D ) 321 , E ) 260", "input": "", "output": "", "answer": "E" }, { "instruction": "the average weight of 4 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ? The options: A ) 101 kg , B ) 103.4 kg , C ) 105 kg , D ) DAtA inADEquAtE , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "each of the three people individually can complete a certain job in 3 , 5 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ? The options: A ) 4 / 15 , B ) 7 / 30 , C ) 11 / 30 , D ) 7 / 18 , E ) 5 / 18", "input": "", "output": "", "answer": "C" }, { "instruction": "the average of 5 consecutive odd numbers a , b , c , d and e is 33 . what percent of a is d ? The options: A ) 86.8 , B ) 88.6 , C ) 89.2 , D ) 90.1 , E ) 92.2", "input": "", "output": "", "answer": "B" }, { "instruction": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 30 cm ? The options: A ) 827 Cm 2 , B ) 570 Cm 2 , C ) 285 Cm 2 , D ) 178 Cm 2 , E ) 176 Cm 2", "input": "", "output": "", "answer": "B" }, { "instruction": "daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ? The options: A ) A ) 14.4 , B ) B ) 20 , C ) C ) 21.3 , D ) D ) 21.5 , E ) E ) 22", "input": "", "output": "", "answer": "A" }, { "instruction": "the volumes of two cubes are in the ratio 27 : 125 , what shall be the ratio of their surface areas ? The options: ['A ) 6 : 25', 'B ) 3 : 5', 'C ) 9 : 25', 'D ) 16 : 25', 'E ) 19 : 25']", "input": "", "output": "", "answer": "C" }, { "instruction": "when positive integer n is divided by positive integer j , the remainder is 15 . if n / j = 134.08 , what is value of j ? The options: A ) 22 , B ) 56 , C ) 78 , D ) 112 , E ) 187.5", "input": "", "output": "", "answer": "E" }, { "instruction": "bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . The options: A ) 7 / 15 , B ) 2 / 8 , C ) 7 / 11 , D ) 13 / 5 , E ) 87", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 75 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ? The options: A ) 15 sEC , B ) 16 sEC , C ) 14 sEC , D ) 67 sEC , E ) 13 sEC", "input": "", "output": "", "answer": "A" }, { "instruction": "a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ? The options: A ) 1260 , B ) 2100 , C ) 3400 , D ) 4200 , E ) 5200", "input": "", "output": "", "answer": "C" }, { "instruction": "how many figures are required to number the pages the pages of a book containing 223 pages ? The options: A ) 372 , B ) 661 , C ) 561 , D ) 467 , E ) 761", "input": "", "output": "", "answer": "C" }, { "instruction": "if 40 % of a certain number is 160 , then what is 90 % of that number ? The options: A ) 270 , B ) 380 , C ) 260 , D ) 360 , E ) 290", "input": "", "output": "", "answer": "D" }, { "instruction": "if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x \u00e2 \u20ac \u201c 6 y ) = ? The options: A ) 11 , B ) 8 , C ) 9 , D ) 7 , E ) 6", "input": "", "output": "", "answer": "D" }, { "instruction": "subtracting 30 from a number , the remainder is one fourth of the number . find the number ? The options: A ) 29 , B ) 88 , C ) 40 , D ) 28 , E ) 27", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of three consecutive multiples of 3 is 108 . what is the largest number ? The options: A ) 36 , B ) 39 , C ) 33 , D ) 30 , E ) 42", "input": "", "output": "", "answer": "B" }, { "instruction": "the sum of four consecutive even integers is 1284 . the greatest of them is : The options: A ) 324 , B ) 342 , C ) 364 , D ) 382 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "the area of a square field is 24200 sq m . how long will a lady take to cross the field diagonally at the rate of 6.6 km / hr ? The options: A ) 3 minutEs , B ) 0.04 hours , C ) 2 minutEs , D ) 2.4 minutEs , E ) 2 minutEs 40 sEConDs", "input": "", "output": "", "answer": "C" }, { "instruction": "anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ? The options: A ) 25 , B ) 26 , C ) 39 , D ) 21 , E ) 11", "input": "", "output": "", "answer": "B" }, { "instruction": "in what time will a train 100 m long cross an electric pole , it its speed be 90 km / hr ? The options: A ) 2.5 , B ) 2.9 , C ) 4 sEC , D ) 2.8 , E ) 2.1", "input": "", "output": "", "answer": "C" }, { "instruction": "if the number is divided by 3 , it reduced by 34 . the number is The options: A ) 51 , B ) 50 , C ) 45 , D ) 40 , E ) 36", "input": "", "output": "", "answer": "A" }, { "instruction": "if a train runs at 40 kmph , it reach its destination late by 11 minutes but if it runs at 50 kmph it is late by 5 minutes only . the correct time for a train to complete its journey is ? let the correct time to complete the journey be x min distance covered in ( x + 11 ) min . at 40 kmph distance covered in ( x + 5 ) min . at 50 kmph ( x + 11 ) / 60 * 40 = ( x + 5 ) / 60 * 50 x = 19 min The options: A ) 19 min , B ) 19 hrs , C ) 52 min , D ) 126 min , E ) 52 min", "input": "", "output": "", "answer": "A" }, { "instruction": "how many cubes of 8 cm edge can be cut out of a cube of 16 cm edge The options: A ) 36 , B ) 2 , C ) 8 , D ) 48 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "share rs . 5400 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? The options: A ) 1800 , B ) 980 , C ) 1200 , D ) 1240 , E ) 1400", "input": "", "output": "", "answer": "A" }, { "instruction": "a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet ) The options: A ) 200 sq FEEt , B ) 300 sq FEEt , C ) 400 sq FEEt , D ) 500 sq FEEt , E ) 600 sq FEEt", "input": "", "output": "", "answer": "A" }, { "instruction": "alex and brian start a business with rs . 7000 each , and after 8 months , brian withdraws half of his capital . how should they share the profits at the end of the 18 months ? The options: A ) 5 : 4 , B ) 4 : 3 , C ) 18 : 11 , D ) 3 : 2 , E ) 18 : 13", "input": "", "output": "", "answer": "E" }, { "instruction": "of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ? The options: A ) 80 , B ) 160 , C ) 280 , D ) 360 , E ) 480", "input": "", "output": "", "answer": "C" }, { "instruction": "a block of wood has dimensions 10 cm x 10 cm x 40 cm . the block is painted red and then cut evenly at the 20 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ? The options: A ) 5 % , B ) 10 % , C ) 15 % , D ) 20 % , E ) 25 %", "input": "", "output": "", "answer": "B" }, { "instruction": "two trains 119 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ? The options: A ) 7.19 , B ) 7.17 , C ) 7.2 , D ) 7.15 , E ) 7.05", "input": "", "output": "", "answer": "E" }, { "instruction": "if an integer e is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that e ( e + 1 ) ( e + 2 ) will be divisible by 8 ? The options: A ) 1 / 4 , B ) 3 / 8 , C ) 1 / 2 , D ) 5 / 8 , E ) 3 / 4", "input": "", "output": "", "answer": "D" }, { "instruction": "if 20 men can build a wall 66 metres long in 10 days , what length of a similar can be built by 86 men in 8 days ? The options: A ) 227.04 mtrs , B ) 378.4 mtrs , C ) 478.4 mtrs , D ) 488.4 mtrs , E ) 578.4 mtrs", "input": "", "output": "", "answer": "A" }, { "instruction": "if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 9 ) , what is the value of x ? The options: A ) 9 , B ) 11 , C ) 13 , D ) 15 , E ) 17", "input": "", "output": "", "answer": "B" }, { "instruction": "by travelling at 60 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ? The options: A ) 30 kmph , B ) 28 kmph , C ) 26 kmph , D ) 24 kmph , E ) 22 kmph", "input": "", "output": "", "answer": "A" }, { "instruction": "a candidate got 35 % of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ? The options: A ) 7500 , B ) 3388 , C ) 8100 , D ) 2888 , E ) 2661", "input": "", "output": "", "answer": "C" }, { "instruction": "if the average of 5 positive integers is 65 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ? The options: A ) 50 , B ) 52 , C ) 59 , D ) 68 , E ) 73", "input": "", "output": "", "answer": "E" }, { "instruction": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 20 days to complete the same work . then q alone can do it in The options: A ) 20 , B ) 22 , C ) 25 , D ) 27 , E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 6500 ? The options: A ) 4966 , B ) 2477 , C ) 2877 , D ) 2676 , E ) 1881", "input": "", "output": "", "answer": "A" }, { "instruction": "find the area of a parallelogram with base 15 cm and height 40 cm ? The options: A ) 200 Cm 2 , B ) 100 Cm 2 , C ) 42 Cm 2 , D ) 600 Cm 2 , E ) 230 Cm 2", "input": "", "output": "", "answer": "D" }, { "instruction": "the number 70 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? The options: A ) 17 , B ) 16 , C ) 15 , D ) 14 , E ) 13", "input": "", "output": "", "answer": "D" }, { "instruction": "if 5 machines can produce 20 units in 10 hours , how long would it take 25 to produce 100 units ? The options: A ) 5 , B ) 9 , C ) 6 , D ) 10 , E ) 2", "input": "", "output": "", "answer": "D" }, { "instruction": "population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 The options: A ) 1034355 , B ) 1035677 , C ) 1045778 , D ) 1067675 , E ) 1083875", "input": "", "output": "", "answer": "E" }, { "instruction": "a sum of money is distributed among a , b , c , d in the proportion of 1 : 3 : 4 : 2 . if c gets $ 500 more than d , what is the b ' s share ? The options: A ) $ 450 , B ) $ 500 , C ) $ 750 , D ) $ 800 , E ) $ 840", "input": "", "output": "", "answer": "C" }, { "instruction": "the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ? The options: A ) 16 , B ) 17 , C ) 13 , D ) 19 , E ) 14", "input": "", "output": "", "answer": "C" }, { "instruction": "the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ? The options: A ) 8 , B ) 15 , C ) 21 , D ) 30 , E ) 39", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the sum of the multiples of 7 from 77 to 91 , inclusive ? The options: A ) 260 , B ) 452 , C ) 352 , D ) 260 , E ) 252", "input": "", "output": "", "answer": "E" }, { "instruction": "45 x ? = 25 % of 900 The options: A ) 16.2 , B ) 4 , C ) 5 , D ) 500 , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ? The options: A ) 3 \u2044 20 , B ) 11 \u2044 60 , C ) 9 \u2044 40 , D ) 1 \u2044 10 , E ) 11 \u2044 20", "input": "", "output": "", "answer": "D" }, { "instruction": "| x + 3 | \u2013 | 4 - x | = | 7 + x | how many solutions will this equation have ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "C" }, { "instruction": "a man is 24 years older than his son . in three years , his age will be twice the age of his son . the present age of the son is The options: A ) 14 yEArs , B ) 18 yEArs , C ) 20 yEArs , D ) 21 yEArs , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? The options: A ) $ 115,000 , B ) $ 160,000 , C ) $ 205,000 , D ) $ 240,000 , E ) $ 365,000", "input": "", "output": "", "answer": "C" }, { "instruction": "a man covers a certain distance q in a train . if the train moved 4 km / hr faster , it would take 30 min less . if it moved 2 km / hr slower , it would take 20 mins more . find the distance ? The options: A ) 200 km , B ) 50 km , C ) 20 km , D ) 60 km , E ) 80 km", "input": "", "output": "", "answer": "D" }, { "instruction": "if the a radio is sold for rs 490 and sold for rs 465.50 . find loss % . The options: A ) 4 % , B ) 5 % , C ) 6 % , D ) 3 % , E ) 5.5 %", "input": "", "output": "", "answer": "B" }, { "instruction": "eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 6 hours ? The options: A ) 675 , B ) 750 , C ) 1,800 , D ) 1,350 , E ) 7,500", "input": "", "output": "", "answer": "D" }, { "instruction": "a cycle is bought for rs . 900 and sold for rs . 1160 , find the gain percent ? The options: A ) 11 , B ) 29 , C ) 99 , D ) 77 , E ) 18", "input": "", "output": "", "answer": "B" }, { "instruction": "the perimeter of a rectangular yard is completely surrounded by a fence that measures 12 meters . what is the length of the yard if the area of the yard is 9 meters squared ? The options: ['A ) 8', 'B ) 1', 'C ) 3', 'D ) 4', 'E ) 6']", "input": "", "output": "", "answer": "B" }, { "instruction": "x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 7 will be equal to : The options: A ) 3 , B ) 6 , C ) 1 / 9 , D ) 1 / 3 , E ) 9 / 49", "input": "", "output": "", "answer": "E" }, { "instruction": "each machine of type a has 3 steel parts and 3 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 60 steel parts and 44 chrome parts , how many machines are in the group The options: A ) 12 , B ) 13 , C ) 14 , D ) 15 , E ) 16", "input": "", "output": "", "answer": "C" }, { "instruction": "a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? The options: A ) 160 , B ) 275 , C ) 360 , D ) 440 , E ) 560", "input": "", "output": "", "answer": "B" }, { "instruction": "a clothing store purchased a pair of pants for $ 90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a clothing store owner decided to decrease the selling price by 20 percent . what was the clothing store ' s gross profit on this sale ? The options: A ) $ 14 , B ) $ 5 , C ) $ 10 , D ) $ 6 , E ) $ 8", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 60 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) The options: A ) $ 15,360 , B ) $ 17,360 , C ) $ 18,000 , D ) $ 23,760 , E ) $ 27,360", "input": "", "output": "", "answer": "D" }, { "instruction": "the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately The options: A ) 4457 , B ) 4567 , C ) 4235 , D ) 4547 , E ) 8915", "input": "", "output": "", "answer": "E" }, { "instruction": "the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years q in which the population would be doubled assuming there is no emigration or immigration is The options: A ) q = 20 , B ) q = 25 , C ) q = 30 , D ) q = 35 , E ) 40", "input": "", "output": "", "answer": "D" }, { "instruction": "a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in . The options: A ) 24 DAys , B ) 12 DAys , C ) 29 DAys , D ) 25 DAys , E ) 27 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "5 n + 2 > 12 and 7 n - 5 < 23 ; n must be between which numbers ? The options: A ) 1 AnD 8 , B ) 2 AnD 4 , C ) 0 AnD 9 , D ) 2 AnD 7 , E ) 2 AnD 9", "input": "", "output": "", "answer": "B" }, { "instruction": "how many unique positive odd integers less than 70 are equal to the product of a positive multiple of 5 and an odd number ? The options: A ) 4 , B ) 7 , C ) 11 , D ) 12 , E ) 15", "input": "", "output": "", "answer": "B" }, { "instruction": "find the value of 201834 x 99999 = m ? The options: A ) 20183198166 , B ) 20194181766 , C ) 20175292556 , D ) 20132191166 , E ) 20153198166", "input": "", "output": "", "answer": "A" }, { "instruction": "if a 5 percent deposit that has been paid toward the purchase of a certain product is $ 70 , how much more remains to be paid ? The options: A ) $ 1120 , B ) $ 1190 , C ) $ 1260 , D ) $ 1330 , E ) $ 1400", "input": "", "output": "", "answer": "D" }, { "instruction": "for all even integers n , h ( n ) is defined to be the sum of the even integers between 4 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ? The options: A ) 3 , B ) 1.8 , C ) 6 , D ) 18 , E ) 60", "input": "", "output": "", "answer": "A" }, { "instruction": "due to construction , the speed limit along an 5 - mile section of highway is reduced from 60 miles per hour to 40 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? The options: A ) A ) 3.12 , B ) B ) 2.5 , C ) C ) 10 , D ) D ) 15 , E ) E ) 24", "input": "", "output": "", "answer": "B" }, { "instruction": "a pyramid has a square base of 6 cm , and the four lateral faces are four congruent equilateral triangles . what is the total surface area of the pyramid in square cm ? The options: ['A ) 36 + 18 * sqrt ( 3 )', 'B ) 36 + 36 * sqrt ( 3 )', 'C ) 72', 'D ) 72 + 36 * sqrt ( 3 )', 'E ) 72 + 72 * sqrt ( 3 )']", "input": "", "output": "", "answer": "B" }, { "instruction": "sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1.5 % more . she would get how much ? The options: A ) 9560 , B ) 96288 , C ) 26667 , D ) 1662 , E ) 2882", "input": "", "output": "", "answer": "A" }, { "instruction": "a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ? The options: A ) 154 Cm 2 , B ) 113 m 2 , C ) 123 m 2 , D ) 115 m 2 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "there are 6 people in the elevator . their average weight is 170 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . The options: A ) 37 , B ) 168 , C ) 189 , D ) 190 , E ) 200", "input": "", "output": "", "answer": "A" }, { "instruction": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ? The options: A ) 270 m , B ) 189 m , C ) 278 m , D ) 279 m , E ) 917 m", "input": "", "output": "", "answer": "A" }, { "instruction": "find the smallest number in gp whose sum is 38 and product is 1728 The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "a fair coin is tossed 4 times . what is the probability of getting at least 2 tails ? The options: A ) 1 / 16 , B ) 1 / 2 , C ) 3 / 16 , D ) 11 / 16 , E ) 3 / 8", "input": "", "output": "", "answer": "D" }, { "instruction": "find the area of trapezium whose parallel sides are 30 cm and 18 cm long , and the distance between them is 15 cm . The options: A ) 227 , B ) 299 , C ) 360 , D ) 161 , E ) 212", "input": "", "output": "", "answer": "C" }, { "instruction": "the mean of 50 observations is 100 . but later he found that there is decrements of 13 from each observations . what is the the updated mean is ? The options: A ) 87 , B ) 97 , C ) 67 , D ) 57 , E ) 46", "input": "", "output": "", "answer": "A" }, { "instruction": "if x and y are integers such that x ^ 2 = y and xy = 27 , then x \u2013 y = ? The options: A ) - 30 , B ) - 20 , C ) - 6 , D ) 5 , E ) 20", "input": "", "output": "", "answer": "C" }, { "instruction": "a pupil ' s marks were wrongly entered as 83 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ? The options: A ) 13 , B ) 18 , C ) 40 , D ) 82 , E ) 43", "input": "", "output": "", "answer": "C" }, { "instruction": "a trader sells 23 meters of cloth for rs . 529 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ? The options: A ) 26 , B ) 88 , C ) 90 , D ) 42 , E ) 18", "input": "", "output": "", "answer": "E" }, { "instruction": "if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ? The options: A ) $ 500 , B ) $ 600 , C ) $ 700 , D ) $ 800 , E ) $ 900", "input": "", "output": "", "answer": "B" }, { "instruction": "if 8 cats can kill 8 rats in 8 minutes , how long will it take 100 cats to kill 100 rats ? The options: A ) 6 minutEs , B ) 7 minutEs , C ) 8 minutEs , D ) 9 minutEs , E ) 10 minutEs", "input": "", "output": "", "answer": "C" }, { "instruction": "peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 600 at the end of another 2 years . what was the rate of interest in which he invested his sum ? The options: A ) 100 % , B ) 12.5 % , C ) 67 % , D ) 25 % , E ) 33 %", "input": "", "output": "", "answer": "A" }, { "instruction": "3 / 4 of 1 / 2 of 2 / 5 of 5080 = ? The options: A ) 392 , B ) 229 , C ) 753 , D ) 493 , E ) 762", "input": "", "output": "", "answer": "E" }, { "instruction": "how many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ? The options: A ) 50 , B ) 60 , C ) 70 , D ) 80 , E ) 90", "input": "", "output": "", "answer": "B" }, { "instruction": "\u221a 4 percent of 4 \u221a 4 = The options: A ) 0.16 , B ) 0.17 , C ) 0.18 , D ) 0.2 , E ) 0.19", "input": "", "output": "", "answer": "A" }, { "instruction": "a palindrome is a number that reads the same forward and backward , such as 616 . how many even , 4 - digit numbers are palindromes ? The options: A ) 40 , B ) 45 , C ) 50 , D ) 90 , E ) 2500", "input": "", "output": "", "answer": "A" }, { "instruction": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 12 hours a day , the number of men required ? The options: A ) 11 DAys , B ) 12 DAys , C ) 9 DAys , D ) 8 DAys , E ) 10 DAys", "input": "", "output": "", "answer": "E" }, { "instruction": "8 people decided to split the restaurant bill evenly . if the bill was $ 214.15 dollars , how much money did they 1 cent is the smallest unit ? The options: A ) $ 214.16 , B ) $ 214.17 , C ) $ 214.18 , D ) $ 214.19 , E ) $ 214.20", "input": "", "output": "", "answer": "A" }, { "instruction": "in a fuel station the service costs $ 1.50 per car , every liter of fuel costs 0.35 $ . assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty . how much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75 % bigger ? The options: A ) $ 78.80 , B ) $ 79.80 , C ) $ 78.90 , D ) $ 79.90 , E ) $ 77.80", "input": "", "output": "", "answer": "A" }, { "instruction": "a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what y percent of the list price is the lowest possible sale price ? The options: A ) 20 , B ) 25 , C ) 30 , D ) 40 , E ) 50", "input": "", "output": "", "answer": "D" }, { "instruction": "each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 12500 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . The options: A ) 5113 , B ) 5117 , C ) 5120 , D ) 8119 , E ) 10115", "input": "", "output": "", "answer": "C" }, { "instruction": "a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000.00001 more . at the end of the year , their profits amounted to rs . 714 find the share of a . The options: A ) 240 , B ) 272 , C ) 379 , D ) 277 , E ) 122", "input": "", "output": "", "answer": "B" }, { "instruction": "a train 120 m long running at 60 kmph crosses a platform in 35 sec . what is the length of the platform ? The options: A ) 338 , B ) 277 , C ) 463 , D ) 456 , E ) 271", "input": "", "output": "", "answer": "C" }, { "instruction": "jar a has 6 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ? The options: A ) 2.8 % , B ) 3.0 % , C ) 3.2 % , D ) 3.4 % , E ) 3.6 %", "input": "", "output": "", "answer": "A" }, { "instruction": "for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers t are there between 6 * + 2 and 6 * + 6 , inclusive ? The options: A ) nonE , B ) onE , C ) two , D ) thrEE , E ) Four", "input": "", "output": "", "answer": "A" }, { "instruction": "shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $ 400 as interest . he invested the remaining in a bond that paid compound interest , interest being compounded annually , for the same 2 years at the same rate of interest and received $ 605 as interest . what was the value of his total savings before investing in these two bonds ? The options: A ) 3000 , B ) 5000 , C ) 2000 , D ) 4000 , E ) 6000", "input": "", "output": "", "answer": "C" }, { "instruction": "a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is 40 % by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chloride stays the same , what will be the concentration of water in the mixture in 4 hours ? The options: A ) 40 % , B ) 44 % , C ) 48 % , D ) 52 % , E ) 56 %", "input": "", "output": "", "answer": "A" }, { "instruction": "what number has a 5 : 1 ratio to the number 10 ? The options: A ) 74 , B ) 50 , C ) 94 , D ) 59 , E ) 48", "input": "", "output": "", "answer": "B" }, { "instruction": "a 125 meter long train crosses a man standing on the platform in 5 sec . what is the speed of the train ? The options: A ) 229 , B ) 108 , C ) 278 , D ) 126 , E ) 90", "input": "", "output": "", "answer": "E" }, { "instruction": "excluding stoppages , the speed of a bus is 80 km / hr and including stoppages , it is 70 km / hr . for how many minutes does the bus stop per hour ? The options: A ) 11 min , B ) 10 min , C ) 8 min , D ) 6 min , E ) 5 min", "input": "", "output": "", "answer": "C" }, { "instruction": "a , b and c can do a piece of work in 7 days , 14 days and 28 days respectively . how long will they take to finish the work , if all the three work together ? The options: A ) 4 , B ) 9 , C ) 2 , D ) 11 , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "in the youth summer village there are 200 people , 100 of them are not working , 75 of them have families and 125 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ? The options: A ) 125 , B ) 150 , C ) 100 , D ) 130 , E ) 140", "input": "", "output": "", "answer": "C" }, { "instruction": "nitin ranks 18 th in a class of 49 students . what is rank from the last ? The options: A ) 33 , B ) 38 , C ) 32 , D ) 28 , E ) 19", "input": "", "output": "", "answer": "C" }, { "instruction": "lamp a flashes every 6 seconds , lamp b flashes every 8 seconds , lamp c flashes every 10 seconds . at a certain instant of time all 3 lamps flash simultaneously . during the period of 6 minutes after that how many times will exactly two lamps flash ? ( please include any flash of exactly two lights which occurs at the 6 minute mark . ) The options: A ) 24 , B ) 25 , C ) 26 , D ) 27 , E ) 28", "input": "", "output": "", "answer": "D" }, { "instruction": "when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum q of all possible 2 - digit remainders for x / y ? The options: A ) 560 , B ) 616 , C ) 672 , D ) 728 , E ) 784", "input": "", "output": "", "answer": "B" }, { "instruction": "a man walking at a rate of 10 km / hr crosses a bridge in 12 minutes . the length of the bridge is ? The options: A ) 2000 , B ) 1492 , C ) 1667 , D ) 1254 , E ) 1112", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 1000 students in a school and among them 30 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ? The options: A ) 1 , B ) 10 , C ) 100 , D ) 30 , E ) 20", "input": "", "output": "", "answer": "D" }, { "instruction": "a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price . The options: A ) 86 , B ) 88 , C ) 90 , D ) 92 , E ) 94", "input": "", "output": "", "answer": "B" }, { "instruction": "exactly 15 % of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? The options: A ) 20 % , B ) 42 % , C ) 44 % , D ) 80 % , E ) 84 %", "input": "", "output": "", "answer": "D" }, { "instruction": "two numbers are respectively 50 % and 20 % more than a third number . the percentage that is first of the second is ? The options: A ) 125 % , B ) 97 % , C ) 118 % , D ) 52 % , E ) 83 %", "input": "", "output": "", "answer": "A" }, { "instruction": "of 70 players on a football team , 43 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? The options: A ) 54 , B ) 59 , C ) 61 , D ) 71 , E ) 92", "input": "", "output": "", "answer": "C" }, { "instruction": "in how many seconds will a train 100 meters long pass an oak tree , if the speed of the train is 36 km / hr ? The options: A ) 6 , B ) 8 , C ) 10 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "C" }, { "instruction": "a pair of articles was bought for $ 1000 at a discount of 10 % . what must be the marked price of each of the article ? The options: A ) $ 555.55 , B ) $ 500 , C ) $ 350 , D ) $ 400 , E ) $ 600", "input": "", "output": "", "answer": "A" }, { "instruction": "what is 15 % of 2 / 3 of 0.5 ? The options: A ) 0.05 , B ) 0.9 , C ) 9 , D ) 90 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "A" }, { "instruction": "the bus fare for two persons for travelling between agra and aligarh id 4 - thirds the train fare between the same places for one person . the total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is rs . 1512 . find the train fare between the two places for one person ? The options: A ) rs . 126 , B ) rs . 132 , C ) rs . 120 , D ) rs . 114 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a monkey ascends a greased pole 17 metres high . he ascends 2 metres in first minute and slips down 1 metre in the alternate minute . in which minute , he reaches the top ? The options: A ) 31 st , B ) 22 nD , C ) 23 rD , D ) 24 th , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "a goods bullet train runs at the speed of 72 km / hr and crosses a 250 m long platform in 26 seconds . what is the length of the goods bullet train ? The options: A ) 220 m , B ) 250 m , C ) 280 m , D ) 210 m , E ) 270 m", "input": "", "output": "", "answer": "E" }, { "instruction": "a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ? The options: A ) 26 % , B ) 20 % , C ) 17 % , D ) 18 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the tens digit of 36 ^ 5 ? The options: A ) 1 , B ) 7 , C ) 5 , D ) 3 , E ) 9", "input": "", "output": "", "answer": "D" }, { "instruction": "evaluate : | 6 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? The options: A ) 40 , B ) 50 , C ) 72 , D ) 70 , E ) 80", "input": "", "output": "", "answer": "C" }, { "instruction": "find the simple interest on rs . 500 for 9 months at 6 paisa per month ? The options: A ) 287 , B ) 270 , C ) 276 , D ) 129 , E ) 211", "input": "", "output": "", "answer": "B" }, { "instruction": "evaluate : 60 - 12 \u00f7 4 \u00d7 2 = The options: A ) A ) 45 , B ) B ) 54 , C ) C ) 63 , D ) D ) 72 , E ) E ) 81", "input": "", "output": "", "answer": "B" }, { "instruction": "on a trip , a cyclist averaged 11 miles per hour for the first 22 miles and 10 miles per hour for the remaining 20 miles . if the cyclist returned immediately via the same route and took a total of 9 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ? The options: A ) 7.6 , B ) 7.8 , C ) 8 , D ) 8.2 , E ) 8.4", "input": "", "output": "", "answer": "E" }, { "instruction": "on increasing the number of lines in a page by 100 , they become 240 . what is the % of increase in the no . of lines in the page ? The options: A ) 20 % , B ) 305 , C ) 50 % , D ) 71.4 % , E ) 60 %", "input": "", "output": "", "answer": "D" }, { "instruction": "find the sum 3 / 10 + 5 / 100 + 8 / 1000 in decimal form ? The options: A ) 0.853 , B ) 0.358 , C ) 3.58 , D ) 8.35 , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "3 distinct single digit no a , b , c are in g . p . if abs ( x ) for real x is the absolute value of x ( x if x is positive or zero , and x if x is negative ) , then the no . of different possible values of abs ( a + b - c ) is The options: A ) 6 , B ) 4 , C ) 3 , D ) 5 , E ) 2", "input": "", "output": "", "answer": "D" }, { "instruction": "sum of 19 odd numbers is ? The options: A ) 341 , B ) 351 , C ) 361 , D ) 371 , E ) 381", "input": "", "output": "", "answer": "C" }, { "instruction": "an engine moves at the speed of 90 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 9 coaches are attached speed decreases to 78 kmph . what will be the speed of train when 25 coaches are attached . The options: A ) 90 , B ) 85 , C ) 80 , D ) 60 , E ) 70", "input": "", "output": "", "answer": "E" }, { "instruction": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds . the length of the train ( in metres ) is : The options: A ) 188 , B ) 176 , C ) 175 , D ) 96 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 10 miles per gallon , and from town b to town c , the car averaged 12 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? The options: A ) 11.5 , B ) 9.5 , C ) 13.5 , D ) 10.6 , E ) 14.5", "input": "", "output": "", "answer": "D" }, { "instruction": "a shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee . find his net profit or loss percent ? The options: A ) 73 1 / 3 % , B ) 13 1 / 3 % , C ) 33 1 / 3 % , D ) 23 1 / 3 % , E ) 93 1 / 3 %", "input": "", "output": "", "answer": "C" }, { "instruction": "a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 18 seconds . due to some problem , two boggies were detached . the train now crosses a telegraph post in The options: A ) 18 sEC , B ) 12 sEC , C ) 15 sEC , D ) 20 sEC , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 16 miles on saturday and sunday , how many miles did bill run on sunday ? The options: A ) 5 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "prints a page 40 pg per min . if the printed for 2 hours except 20 min . where there was an paper jam , how many page did it print The options: A ) 4,000 , B ) 12,880 , C ) 14,880 , D ) 8,880 , E ) 18,880", "input": "", "output": "", "answer": "A" }, { "instruction": "a train 450 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ? The options: A ) 5 sEC , B ) 39 sEC , C ) 27 sEC , D ) 15 sEC , E ) 18 sEC", "input": "", "output": "", "answer": "C" }, { "instruction": "during a thanksgiving weekend , a car rental company rented 6 - tenths of their vehicles , including two - fifths of the 4 wds that it had . if 40 % of the vehicles are 4 wds , then what percent of the vehicles that were not rented were not 4 wds ? The options: A ) 20 % , B ) 30 % , C ) 40 % , D ) 50 % , E ) 60 %", "input": "", "output": "", "answer": "C" }, { "instruction": "if x < y < z and y - x > 7 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ? The options: A ) 6 , B ) 7 , C ) 11 , D ) 8 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 100000 that a person who randomly guesses the answer to each question will be a winner ? The options: A ) 5 , B ) 10 , C ) 50 , D ) 100 , E ) 1000", "input": "", "output": "", "answer": "E" }, { "instruction": "jim drove 1096 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ? The options: A ) 104 milEs , B ) 432 milEs , C ) 456 milEs , D ) 887 milEs , E ) 767 milEs", "input": "", "output": "", "answer": "A" }, { "instruction": "ram , who is half as efficient as krish , will take 18 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ? The options: A ) 16 DAys , B ) 12 DAys , C ) 8 DAys , D ) 6 DAys , E ) 18 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 8 g / cm ^ 3 , then the weight of the pipe is : The options: A ) 3.6 kg , B ) 3.696 kg , C ) 36 kg , D ) 36.9 kg , E ) 3.06 kg", "input": "", "output": "", "answer": "B" }, { "instruction": "the average weight of 7 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ? The options: A ) 76 kg , B ) 77 kg , C ) 75.5 kg , D ) DAtA inADEquAtE , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "mr . jones gave 40 % of the money he had to his wife . he also gave 20 % of the remaining amount to his 3 sons . and half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ? The options: A ) 40000 , B ) 45000 , C ) 50000 , D ) 62000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "he total marks obtained by a student in physics , chemistry and mathematics is 170 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ? The options: A ) 55 , B ) 65 , C ) 75 , D ) 85 , E ) 95", "input": "", "output": "", "answer": "D" }, { "instruction": "find the compound interest on rs . 10000 at 12 % rate of interest for 1 year , compounded half - yearly The options: A ) rs . 1036 , B ) rs . 1236 , C ) rs . 1186 , D ) rs . 1206 , E ) rs . 1226", "input": "", "output": "", "answer": "B" }, { "instruction": "25 onions on a scale weigh 5.12 kg . when 3 onions are removed from the scale , the average weight of the 22 onions is 200 grams . what is the average weight ( in grams ) of the 3 onions which were removed ? The options: A ) 200 , B ) 220 , C ) 240 , D ) 260 , E ) 280", "input": "", "output": "", "answer": "C" }, { "instruction": "a profit of rs . 600 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ? The options: A ) s . 220 , B ) s . 120 , C ) s . 320 , D ) s . 50 , E ) s . 90", "input": "", "output": "", "answer": "B" }, { "instruction": "a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 5 inches wide on each side , the total area would have been ( m + 144 ) square inches . what is the perimeter of the photograph , in inches ? The options: A ) 10 , B ) 12 , C ) 14 , D ) 16 , E ) 18", "input": "", "output": "", "answer": "B" }, { "instruction": "3 candidates contested an election and received 1000 , 2000 and 4000 votes respectively . what percentage of the total votes did the winning candidate got ? The options: A ) 30 % , B ) 50 % , C ) 57 % , D ) 62 % , E ) 75 %", "input": "", "output": "", "answer": "C" }, { "instruction": "the area of a triangle will be when a = 3 m , b = 5 m , c = 10 m , a , b , c being lengths of respective sides ? The options: A ) 3 , B ) 6 , C ) 4 , D ) 9 , E ) 1", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the sum of all 5 digit numbers which can be formed with the digits 0 , 1,2 , 3,4 without repetation ? The options: A ) 2599980 , B ) 235500 , C ) 923580 , D ) 765432 , E ) 765434", "input": "", "output": "", "answer": "A" }, { "instruction": "an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 64 times the difference between the two numbers . how many coins did the old man have ? The options: A ) 24 , B ) 26 , C ) 30 , D ) 64 , E ) 40", "input": "", "output": "", "answer": "D" }, { "instruction": "20 litres of mixture contains 40 % alcohol and the rest water . if 8 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ? The options: A ) 26.32 % , B ) 35.14 % , C ) 28.57 % , D ) 25 % , E ) 31.14 %", "input": "", "output": "", "answer": "C" }, { "instruction": "jane makes toy bears . when she works with an assistant , she makes 90 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent ? The options: A ) 20 % , B ) 80 % , C ) 100 % , D ) 120 % , E ) 200 %", "input": "", "output": "", "answer": "D" }, { "instruction": "12.036 divided by 0.04 gives : The options: A ) 30.09 , B ) 300.9 , C ) 30.06 , D ) 100.9 , E ) 300.6", "input": "", "output": "", "answer": "B" }, { "instruction": "if 20 liters of chemical x are added to 80 liters of a mixture that is 5 % chemical x and 95 % chemical y , then what percentage of the resulting mixture is chemical x ? The options: A ) 24 % , B ) 26 % , C ) 28 % , D ) 30 % , E ) 32 %", "input": "", "output": "", "answer": "A" }, { "instruction": "the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval . if the car traveled 4.4 miles in the sixth 8 - minute interval , what was the average speed of the car , in miles per hour , in the first 8 minute interval ? The options: A ) 35 , B ) 40 , C ) 48 , D ) 51 , E ) 54", "input": "", "output": "", "answer": "C" }, { "instruction": "for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score r for the exam ? The options: A ) 74 , B ) 76 , C ) 78 , D ) 80 , E ) 82", "input": "", "output": "", "answer": "A" }, { "instruction": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 240 meter length ? The options: A ) 65 sEConDs , B ) 46 sEConDs , C ) 40 sEConDs , D ) 97 sEConDs , E ) 48 sEConDs", "input": "", "output": "", "answer": "E" }, { "instruction": "in one year , the population , of a village increased by 10 % and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ? The options: A ) 8008 , B ) 8000 , C ) 8022 , D ) 8021 , E ) 8022", "input": "", "output": "", "answer": "B" }, { "instruction": "the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 35 % profit ? The options: A ) $ 480 , B ) $ 450 , C ) $ 960 , D ) $ 864 , E ) $ 660", "input": "", "output": "", "answer": "D" }, { "instruction": "if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3720 , r will receive The options: A ) 720 , B ) 700 , C ) 800 , D ) 900 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "it costs $ 2 for the first 15 minutes to use the bumper cars at a fair ground . after the first 15 minutes it costs $ 6 per hour . if a certain customer uses the bumper cars for 3 hours and 25 minutes , how much will it cost him ? The options: A ) $ 22 , B ) $ 3 , C ) $ 15 , D ) $ 21 , E ) $ 30", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 30 paise per sq . metre The options: A ) s 255 , B ) s 780 , C ) s 880 , D ) s 480 , E ) s 980", "input": "", "output": "", "answer": "A" }, { "instruction": "john and andrew can finish the work 9 days if they work together . they worked together for 6 days and then andrew left . john finished the remaining work in another 6 days . in how many days john alone can finish the work ? The options: A ) 30 DAys , B ) 60 DAys , C ) 18 DAys , D ) 80 DAys , E ) 90 DAys", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 14,210 employees of the anvil factory , 3 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? The options: A ) 14.3 % , B ) 16.67 % , C ) 33 % , D ) 28.6 % , E ) 49.67 %", "input": "", "output": "", "answer": "A" }, { "instruction": "what percent is 400 gm of 1 kg ? The options: A ) 25 % , B ) 40 % , C ) 10 % , D ) 8 % , E ) 12 %", "input": "", "output": "", "answer": "B" }, { "instruction": "the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 160 runs and his average excluding these two innings is 58 runs , find his highest score . The options: A ) 184 , B ) 367 , C ) 269 , D ) 177 , E ) 191", "input": "", "output": "", "answer": "A" }, { "instruction": "the total age of a and b is 14 years more than the total age of b and c . c is how many year younger than a The options: A ) 11 , B ) 12 , C ) 13 , D ) 14 , E ) 15", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain car ' s price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 3,500 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ? The options: A ) $ 18,400 , B ) $ 19,500 , C ) $ 22,200 , D ) $ 20,400 , E ) $ 21,100", "input": "", "output": "", "answer": "C" }, { "instruction": "if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m , what is its area ? The options: ['A ) 2520', 'B ) 2510', 'C ) 2525', 'D ) 2025', 'E ) 2020']", "input": "", "output": "", "answer": "A" }, { "instruction": "a boat having a length 5 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : The options: A ) 100 kg , B ) 60 kg , C ) 72 kg , D ) 96 kg , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "if 100 cats kill 100 mice in 100 days , then 4 cats would kill 4 mice in how many days ? The options: A ) 1 DAy , B ) 4 DAys , C ) 40 DAys , D ) 100 DAys , E ) 50 DAys", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the unit digit in 7105 ? The options: A ) 1 , B ) 5 , C ) 7 , D ) 9 , E ) 11", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 55 cars on a car lot , 40 have air - conditioning , 25 have power windows , and 12 have both air - conditioning and power windows . how many of the cars on the lot have neither air - conditioning nor power windows ? The options: A ) 15 , B ) 8 , C ) 10 , D ) 2 , E ) 18", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the remainder when 49 ^ 74 - 5 ^ 74 is divided by 24 ? The options: A ) 2 , B ) 1 , C ) 0 , D ) 3 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "a sum of 13,400 amounts to 14,400 in 2 years at the rate of simple interest . what is the rate of interest ? The options: A ) 2 % , B ) 1 % , C ) 6 % , D ) 4 % , E ) 8 %", "input": "", "output": "", "answer": "D" }, { "instruction": "a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 420 less than the sum lent . what was the sum lent ? The options: A ) 500 , B ) 600 , C ) 700 , D ) 800 , E ) 900", "input": "", "output": "", "answer": "C" }, { "instruction": "30 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ? The options: A ) 20 , B ) 77 , C ) 36 , D ) 25 , E ) 13", "input": "", "output": "", "answer": "A" }, { "instruction": "if n is a positive integer and n ^ 2 is divisible by 200 , then what is the largest positive integer that must divide n ? The options: A ) 10 , B ) 15 , C ) 20 , D ) 36 , E ) 50", "input": "", "output": "", "answer": "C" }, { "instruction": "john paid a sum of money for purchasing 20 pens , which he recovered in full when he sold 10 of them . what was his percentage of profit or loss per pen ? The options: A ) 100 % , B ) 150 % , C ) 90 % , D ) 80 % , E ) 95 %", "input": "", "output": "", "answer": "A" }, { "instruction": "if x is a positive number and 1 / 3 the square root of x is equal to 3 x , then x = The options: A ) 1 / 3 , B ) 1 / 9 , C ) 1 / 81 , D ) 1 , E ) 81", "input": "", "output": "", "answer": "C" }, { "instruction": "find the smallest number of 6 digits exactly divisible by 25 , 3545 and 15 . The options: A ) 100555 , B ) 100775 , C ) 100885 , D ) 100995 , E ) 100665", "input": "", "output": "", "answer": "B" }, { "instruction": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 21 seconds , what is the ratio of their speeds ? The options: A ) 1 : 3 , B ) 3 : 1 , C ) 2 : 3 , D ) 3 : 2 , E ) 3 : 4", "input": "", "output": "", "answer": "C" }, { "instruction": "in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? The options: A ) 25 % , B ) 15 % , C ) 20 % , D ) 40 % , E ) 45 %", "input": "", "output": "", "answer": "A" }, { "instruction": "if two - third of a bucket is filled in 6 minute then the time taken to fill the bucket completely will be . The options: A ) 90 sEConDs , B ) 70 sEConDs , C ) 60 sEConDs , D ) 9 minutEs , E ) 120 sEConDs", "input": "", "output": "", "answer": "D" }, { "instruction": "a batsman makes a score of 76 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning . The options: A ) 36 , B ) 28 , C ) 42 , D ) 45 , E ) nonE oF thE ABovE", "input": "", "output": "", "answer": "B" }, { "instruction": "find the remainder of the division ( 2 ^ 14 ) / 7 . The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 5", "input": "", "output": "", "answer": "D" }, { "instruction": "a can do a job in 18 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ? The options: A ) 21 \u00bd DAys , B ) 22 \u00bd DAys , C ) 23 \u00bd DAys , D ) 12 \u00bd DAys , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "barbata invests $ 2600 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? The options: A ) 1200 , B ) 3000 , C ) 1300 , D ) 3600 , E ) 2400", "input": "", "output": "", "answer": "C" }, { "instruction": "at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses w at the restaurant ? ( assume that all boxes are filled to capacity . ) The options: A ) 96 , B ) 240 , C ) w = 256 , D ) w = 384 , E ) w = 480", "input": "", "output": "", "answer": "E" }, { "instruction": "if x is equal to the sum of the integers from 40 to 50 , inclusive , and y is the number of even integers from 40 to 50 , inclusive , what is the value of x + y ? The options: A ) 171 , B ) 281 , C ) 391 , D ) 501 , E ) 613", "input": "", "output": "", "answer": "D" }, { "instruction": "a man swims downstream 28 km and upstream 16 km taking 4 hours each time , what is the speed of the man in still water ? The options: A ) 6.5 , B ) 8.6 , C ) 7.5 , D ) 9.2 , E ) 5.5", "input": "", "output": "", "answer": "E" }, { "instruction": "alice and bob drive at constant speeds toward each other on a highway . alice drives at a constant speed of 30 km per hour . at a certain time they pass by each other , and then keep driving away from each other , maintaining their constant speeds . if alice is 100 km away from bob at 7 am , and also 100 km away from bob at 11 am , then how fast is bob driving ( in kilometers per hour ) ? The options: A ) 20 , B ) 24 , C ) 28 , D ) 32 , E ) 36", "input": "", "output": "", "answer": "A" }, { "instruction": "the calendar of the year 2040 can be used again in the year ? The options: A ) 2063 , B ) 2061 , C ) 2111 , D ) 2191 , E ) 2068", "input": "", "output": "", "answer": "E" }, { "instruction": "how many integers from 1 to 100 exist such that each is divisible by 5 and also has 5 as a digit ? The options: A ) 10 , B ) 12 , C ) 11 , D ) 20 , E ) 25", "input": "", "output": "", "answer": "C" }, { "instruction": "in what time will a train 100 metres long cross an electic pole , if its speed be 144 km / hr ? The options: A ) 2.5 sEC , B ) 4.25 sEC , C ) 5 sEC , D ) 12.5 sEC , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 25 hour to row to a place and come back , how far is the place ? The options: A ) 24 km , B ) 30 km , C ) 48 km , D ) 120 km , E ) 15 km", "input": "", "output": "", "answer": "D" }, { "instruction": "from a group of 4 boys and 4 girls , 4 children are to be randomly selected . what is the probability that 2 boys and 2 girls will be selected ? The options: A ) 12 / 29 , B ) 14 / 31 , C ) 16 / 33 , D ) 18 / 35 , E ) 20 / 37", "input": "", "output": "", "answer": "D" }, { "instruction": "a wooden box of dimensions 8 m x 3 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 3 cm x 2 cm . the maximum number ofboxes that can be carried in the wooden box , is The options: A ) 9800000 , B ) 1000000 , C ) 7500000 , D ) 3000000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "a can do a work in 8 days . b can do the same work in 24 days . if both a & b are working together in how many days they will finish the work ? The options: A ) 3 , B ) 5 , C ) 4 , D ) 2 , E ) 6", "input": "", "output": "", "answer": "E" }, { "instruction": "what is the remainder when 50 ! is divided by 16 ^ 8 ? ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 4", "input": "", "output": "", "answer": "A" }, { "instruction": "two goods trains each 1250 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? The options: A ) 228 , B ) 278 , C ) 48 , D ) 27 , E ) 120", "input": "", "output": "", "answer": "E" }, { "instruction": "if the cost price of 140 pencils is equal to the selling price of 100 pencils , the gain percent is The options: A ) 36 , B ) 37 , C ) 38 , D ) 39 , E ) 40", "input": "", "output": "", "answer": "E" }, { "instruction": "mother , her daughter and her grand child weighs 140 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? The options: A ) 44 , B ) 47 , C ) 48 , D ) 49 , E ) 50", "input": "", "output": "", "answer": "A" }, { "instruction": "two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 5 : 2 . the first number is : The options: A ) A ) 3 , B ) B ) 98 , C ) C ) 34 , D ) D ) 35 , E ) E ) 62", "input": "", "output": "", "answer": "A" }, { "instruction": "a mixture of sand and cement contains , 3 parts of sand and 5 parts of cement . how much of the mixture must be substituted with sand to make the mixture half sand and half cement ? The options: A ) 1 / 3 , B ) 1 / 4 , C ) 1 / 5 , D ) 1 / 7 , E ) 1 / 8", "input": "", "output": "", "answer": "C" }, { "instruction": "the sum of ages of 5 children born 3 years different each is 65 yrs . what is the age of the elder child ? The options: A ) 17 , B ) 19 , C ) 16 , D ) 18 , E ) 21", "input": "", "output": "", "answer": "B" }, { "instruction": "a bookseller sells his books at a 20 % markup in price . if he sells a book for $ 24.00 , how much did he pay for it ? The options: A ) $ 14.40 , B ) $ 14.00 , C ) $ 10.00 , D ) $ 9.60 , E ) $ 20.00", "input": "", "output": "", "answer": "E" }, { "instruction": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 10 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ? The options: A ) 80 % , B ) 105 % , C ) 135 % , D ) 124.2 % , E ) 138 %", "input": "", "output": "", "answer": "C" }, { "instruction": "find the simple interest on $ 10000 at 6 % per annum for 12 months ? The options: A ) $ 410 , B ) $ 500 , C ) $ 600 , D ) $ 710 , E ) $ 1000", "input": "", "output": "", "answer": "C" }, { "instruction": "a mixture contains milk and water in the ratio 5 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 5 : 3 . the quantity of milk in the original mixture is ? The options: A ) 30 , B ) 40 , C ) 50 , D ) 60 , E ) 70", "input": "", "output": "", "answer": "C" }, { "instruction": "of the 3,600 employees of company x , 12 / 25 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ? The options: A ) 40 % , B ) 22.2 % , C ) 20 % , D ) 12.5 % , E ) 11.1 %", "input": "", "output": "", "answer": "A" }, { "instruction": "a man two flats for $ 675958 each . on one he gains 13 % while on the other he loses 13 % . how much does he gain or lose in the whole transaction ? The options: A ) 1.69 % , B ) 2.56 % , C ) 3.12 % , D ) 4.65 % , E ) 5.12 %", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the greatest of 3 consecutive integers whose sum is 30 ? The options: A ) 8 , B ) 9 , C ) 10 , D ) 11 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? The options: A ) 74 % , B ) 75 % , C ) 67 % , D ) 72 % , E ) nonE", "input": "", "output": "", "answer": "C" }, { "instruction": "if the sides of a triangle are 20 cm , 12 cm and 16 cm , what is its area ? The options: A ) 70 , B ) 79 , C ) 85 , D ) 96 , E ) 92", "input": "", "output": "", "answer": "D" }, { "instruction": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ? The options: A ) 2 , B ) 28 , C ) 25 , D ) 99 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "34.94 + 240.016 + 23.98 = ? The options: A ) 298.936 , B ) 298.694 , C ) 289.496 , D ) 289.469 , E ) 298.964", "input": "", "output": "", "answer": "A" }, { "instruction": "meera purchased two 3 items from a shop . total price for 3 items is rs . 2000 / - she have given rs . 3000 / - what is the balance amount meera got ? The options: A ) 650 , B ) 1000 , C ) 1500 , D ) 800 , E ) 750", "input": "", "output": "", "answer": "B" }, { "instruction": "a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 36 instead of 86 then find the correct average marks up to two decimal places . The options: A ) 73.41 , B ) 74.31 , C ) 72.43 , D ) 73.43 , E ) CAn not BE DEtErminED", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the smallest integer e greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ? The options: A ) 21 , B ) 41 , C ) E = 121 , D ) 241 , E ) 481", "input": "", "output": "", "answer": "C" }, { "instruction": "a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 30 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 40 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage . The options: A ) 28 % , B ) 82 % , C ) 24.33 % , D ) 29.109 % , E ) 78 %", "input": "", "output": "", "answer": "B" }, { "instruction": "in 60 litres mixture milk and water are in the ratio 3 : 1 . after adding how many liters of water its ratio will become 3 : 2 The options: A ) 1 , B ) 15 , C ) 7 , D ) 5 , E ) 12", "input": "", "output": "", "answer": "B" }, { "instruction": "how many numbers from 2 to 13 are exactly divisible by 2 ? The options: A ) A ) 2 , B ) B ) 3 , C ) C ) 5 , D ) D ) 7 , E ) E ) 6", "input": "", "output": "", "answer": "E" }, { "instruction": "in a class of 37 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? The options: A ) 6 , B ) 8 , C ) 10 , D ) 12 , E ) 14", "input": "", "output": "", "answer": "B" }, { "instruction": "a boat can travel with a speed of 15 km / hr in still water . if the speed of the stream is 6 km / hr , find the time taken by the boat to go 86 km downstream . The options: A ) 4.1 hr , B ) 5.25 hr , C ) 8.25 hr , D ) 2.25 hr , E ) 2.50 hr", "input": "", "output": "", "answer": "A" }, { "instruction": "on dividing a number by 357 , we get 38 as remainder . on dividing the same number by 17 , what will be the remainder ? The options: A ) 4 , B ) 5 , C ) 8 , D ) 7 , E ) 2", "input": "", "output": "", "answer": "A" }, { "instruction": "bhanu spends 30 % of his income on petrol on scooter 12 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ? The options: A ) 62 , B ) 140 , C ) 84 , D ) 60 , E ) 123", "input": "", "output": "", "answer": "C" }, { "instruction": "a train running at a speed of 36 km / h passes an electric pole in 15 seconds . in how many seconds will the whole train pass a 370 - meter long platform ? The options: A ) 46 , B ) 48 , C ) 50 , D ) 52 , E ) 54", "input": "", "output": "", "answer": "D" }, { "instruction": "a pump can fill a tank with water in 3 hours . because of a leak , it took 3 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in ? The options: A ) 17 hr , B ) 19 hr , C ) 30 hr , D ) 14 hr , E ) 16 hr", "input": "", "output": "", "answer": "C" }, { "instruction": "from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 13 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ? The options: A ) 38 , B ) 39 , C ) 40 , D ) 41 , E ) 42", "input": "", "output": "", "answer": "C" }, { "instruction": "in a graduate physics course , 70 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ? The options: A ) 2 / 7 , B ) 1 / 3 , C ) 1 / 2 , D ) 2 / 3 , E ) 5 / 7", "input": "", "output": "", "answer": "D" }, { "instruction": "ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio r of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ? The options: A ) 8 : 3 , B ) 3 : 2 , C ) 4 : 3 , D ) 2 : 3 , E ) 3 : 8", "input": "", "output": "", "answer": "B" }, { "instruction": "if ( a - b - c + d = 18 ) and ( a + b - c - d = 4 ) , what is the value of ( b - d ) ^ 2 ? The options: A ) 49 . , B ) 8 . , C ) 12 . , D ) 16 . , E ) 64 .", "input": "", "output": "", "answer": "A" }, { "instruction": "john purchased some shirts and trousers for $ 800 . he paid $ 400 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ? The options: A ) 4 , B ) 5 , C ) 6 , D ) 7 , E ) 10", "input": "", "output": "", "answer": "E" }, { "instruction": "the average age of a class of 24 students is 23 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ? The options: A ) 40 , B ) 41 , C ) 48 , D ) 52 , E ) 43", "input": "", "output": "", "answer": "C" }, { "instruction": "45 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ? The options: A ) 24 , B ) 77 , C ) 30 , D ) 25 , E ) 13", "input": "", "output": "", "answer": "C" }, { "instruction": "27 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ? The options: A ) 33 , B ) 66 , C ) 88 , D ) 100 , E ) 281", "input": "", "output": "", "answer": "A" }, { "instruction": "n and m are each 3 - digit integers . each of the numbers 2 , 3 , 4,5 , 6 , and 7 is a digit of either n or m . what is the smallest possible positive difference between n and m ? The options: A ) 59 , B ) 49 , C ) 58 , D ) 113 , E ) 131", "input": "", "output": "", "answer": "B" }, { "instruction": "54671 - 14456 - 35466 = ? The options: A ) 2449 , B ) 5449 , C ) 6749 , D ) 6449 , E ) 4749", "input": "", "output": "", "answer": "E" }, { "instruction": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 4 hrs . each would it take for 21 women if 3 women do as much work as 2 men ? The options: A ) 30 , B ) 20 , C ) 15 , D ) 25 , E ) 45", "input": "", "output": "", "answer": "E" }, { "instruction": "from a group of 4 boys and 4 girls , 6 children are to be randomly selected . what is the probability that 3 boys and 3 girls will be selected ? The options: A ) 1 / 2 , B ) 2 / 3 , C ) 3 / 5 , D ) 4 / 7 , E ) 5 / 9", "input": "", "output": "", "answer": "D" }, { "instruction": "on dividing 21 by a number , the quotient is 10 and the remainder is 1 . find the divisor . The options: A ) 1 , B ) 2 , C ) 4 , D ) 6 , E ) 7", "input": "", "output": "", "answer": "B" }, { "instruction": "if length of a rectangle is equal to side of a square and breadth of rectangle is half of length . if area of square is 36 sq . m . calculate the area of rectangle ? The options: ['A ) 18', 'B ) 20', 'C ) 27', 'D ) 32', 'E ) 25']", "input": "", "output": "", "answer": "A" }, { "instruction": "the price of a t . v . set worth rs . 70000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ? The options: A ) 22678 , B ) 26699 , C ) 69000 , D ) 19000 , E ) 26711", "input": "", "output": "", "answer": "C" }, { "instruction": "the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? The options: A ) $ 192 , B ) $ 198 , C ) $ 200 , D ) $ 208 , E ) $ 216", "input": "", "output": "", "answer": "A" }, { "instruction": "998 x 998 = ? The options: A ) 996000 , B ) 1000000 , C ) 996004 , D ) 4000 , E ) 996008", "input": "", "output": "", "answer": "C" }, { "instruction": "steve traveled the first 2 hours of his journey at 55 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ? The options: A ) 60 mph , B ) 56.67 mph , C ) 70 mph , D ) 64 mph , E ) 66.67 mph", "input": "", "output": "", "answer": "C" }, { "instruction": "in a basketball game , dhoni scored 30 points more than dravid , but only half as many points as shewag . if the 3 players scored a combined total of 150 points , how many points did dhoni score ? The options: A ) 50 , B ) 52 , C ) 35 , D ) 40 , E ) 45", "input": "", "output": "", "answer": "E" }, { "instruction": "on a partly cloudy day , milton decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction of the total distance did he cover while the sun was shining on him ? The options: A ) 1 / 5 , B ) 1 / 6 , C ) 1 / 4 , D ) 1 / 7 , E ) 1 / 3", "input": "", "output": "", "answer": "D" }, { "instruction": "if the sample interest on a sum of money 10 % per annum for 2 years is $ 1200 , find the compound interest on the same sum for the same period at the same rate ? The options: A ) $ 1260 , B ) $ 1520 , C ) $ 1356 , D ) $ 1440 , E ) $ 1210", "input": "", "output": "", "answer": "A" }, { "instruction": "if 35 % of a number is 12 less than 50 % of that number , then the number is ? The options: A ) 40 , B ) 50 , C ) 60 , D ) 80 , E ) 70", "input": "", "output": "", "answer": "D" }, { "instruction": "find the number of different prime factors of 441 The options: A ) 4 , B ) 2 , C ) 3 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" }, { "instruction": "rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ? The options: A ) 20000 , B ) 40000 , C ) 50000 , D ) 60000 , E ) 70000", "input": "", "output": "", "answer": "A" }, { "instruction": "the average of 10 consecutive odd numbers is 22 . what is the sum of the first 3 numbers ? The options: A ) 13 , B ) 45 , C ) 17 , D ) 220 , E ) 90", "input": "", "output": "", "answer": "B" }, { "instruction": "a number when divided by a certain divisor left remainder 245 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? The options: A ) 378 , B ) 365 , C ) 380 , D ) 456 , E ) 460", "input": "", "output": "", "answer": "A" }, { "instruction": "4 out of 8 employees are capable of doing a certain task . sixty percent of the 5 employees , including the 4 who are capable , are assigned to a project involving this task . what percentage of employees assigned to the project are not capable ? The options: A ) 43.33 % , B ) 33.33 % , C ) 13.33 % , D ) 38.33 % , E ) nonE", "input": "", "output": "", "answer": "E" }, { "instruction": "85 white and black tiles will be used to form a 10 x 10 square pattern . if there must be at least one black tile in every row and at least one white tile in every column , what is the maximum difference between the number of black and white tiles that can be used ? The options: A ) 75 , B ) 80 , C ) 85 , D ) 90 , E ) 95", "input": "", "output": "", "answer": "A" }, { "instruction": "the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places The options: A ) 34 , B ) 35 , C ) 56 , D ) 67 , E ) 23.57", "input": "", "output": "", "answer": "E" }, { "instruction": "a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be : The options: A ) 10 m , B ) 12.5 m , C ) 17.5 m , D ) 21.25 m , E ) nonE", "input": "", "output": "", "answer": "B" }, { "instruction": "x can do a piece of work in 4 hours ; y and z together can do it in 3 hours , while x and z together can do it in 2 hours . how long will y alone take to do it ? The options: A ) 5 hours , B ) 10 hours , C ) 12 hours , D ) 24 hours , E ) 15 hours", "input": "", "output": "", "answer": "C" }, { "instruction": "how many liters of water must be evaporated from 50 liters of a 6 - percent sugar solution to get a 10 - percent solution ? The options: A ) 20 , B ) 22 , C ) 24 , D ) 26 , E ) 28", "input": "", "output": "", "answer": "A" }, { "instruction": "in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ? The options: A ) 32 % , B ) 34 % , C ) 35 % , D ) 36 % , E ) 37 %", "input": "", "output": "", "answer": "A" }, { "instruction": "7 log 7 ( 8 ) = ? The options: A ) 1 , B ) 2 , C ) 3 , D ) 4 , E ) 8", "input": "", "output": "", "answer": "E" }, { "instruction": "excluding stoppages , the speed of a bus is 84 kmph and including stoppages , it is 70 kmph . for how many minutes does the bus stop per hour ? The options: A ) 12 min , B ) 10 min , C ) 15 min , D ) 14 min , E ) 13 min", "input": "", "output": "", "answer": "B" }, { "instruction": "40 is what percent of 160 ? The options: A ) 35 % , B ) 40 % , C ) 45 % , D ) 50 % , E ) 25 %", "input": "", "output": "", "answer": "E" }, { "instruction": "in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 57 liters and they are all empty , how much money total will it cost to fuel all cars ? The options: A ) 320.50 $ , B ) 380.50 $ , C ) 425.50 $ , D ) 450.50 $ , E ) 465.60 $", "input": "", "output": "", "answer": "E" }, { "instruction": "the l . c . m of 22 , 54 , 108 , 135 and 198 is The options: A ) 5942 , B ) 2887 , C ) 5940 , D ) 2888 , E ) 28881", "input": "", "output": "", "answer": "C" }, { "instruction": "the sale price sarees listed for rs . 280 after successive discount is 12 % and 8 % is ? The options: A ) 288 , B ) 226 , C ) 250 , D ) 230 , E ) 262", "input": "", "output": "", "answer": "B" }, { "instruction": "a girl sitting in a train which is travelling at 40 kmph observes that a goods train travelling in a opposite direction , takes 12 seconds to pass him . if the goods train is 1120 m long , find its speed . The options: A ) 295 , B ) 296 , C ) 297 , D ) 298 , E ) 299", "input": "", "output": "", "answer": "B" }, { "instruction": "a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction t of the sum of the 21 numbers in the list ? The options: A ) 1 / 20 , B ) 1 / 6 , C ) 1 / 5 , D ) 4 / 21 , E ) 5 / 21", "input": "", "output": "", "answer": "B" }, { "instruction": "107 x 107 + 93 x 93 = ? The options: A ) 19578 , B ) 19418 , C ) 20098 , D ) 21908 , E ) nonE oF thEm", "input": "", "output": "", "answer": "C" }, { "instruction": "a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 66 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480 The options: A ) 2000 , B ) 2100 , C ) 2200 , D ) 2300 , E ) 2400", "input": "", "output": "", "answer": "C" }, { "instruction": "the difference between the place value and the face value of 6 in the numeral 856973 is The options: A ) 973 , B ) 6973 , C ) 5994 , D ) 6084 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "60 % of a number is added to 180 , the result is the same number . find the number ? The options: A ) 300 , B ) 277 , C ) 266 , D ) 99 , E ) 450", "input": "", "output": "", "answer": "E" }, { "instruction": "andrew travelling to 7 cities . gasoline prices varied from city to city . $ 1.75 , $ 1.61 , $ 1.79 , $ 2.11 , $ 1.96 , $ 2.09 , $ 1.82 . what is the median gasoline price ? The options: A ) $ 1 , B ) $ 1.82 , C ) $ 1.92 , D ) $ 2.13 , E ) $ 2.15", "input": "", "output": "", "answer": "B" }, { "instruction": "if 625 ( 5 ^ x ) = 1 then x = The options: A ) \u2013 2 , B ) - 4 , C ) 0 , D ) - 1 , E ) 2", "input": "", "output": "", "answer": "B" }, { "instruction": "find the least number of complete years in which a sum of money put out at 45 % compound interest will be more than double of itself ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "A" }, { "instruction": "the speed of the boat in still water in 12 kmph . it can travel downstream through 45 kms in 3 hrs . in what time would it cover the same distance upstream ? The options: A ) 8 hours , B ) 6 hours , C ) 4 hours , D ) 5 hours , E ) 6 hours", "input": "", "output": "", "answer": "D" }, { "instruction": "the avg weight of a , b & c is 55 kg . if d joins the group , the avg weight of the group becomes 60 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 58 kg . what is the weight of a ? The options: A ) 56 , B ) 65 , C ) 75 , D ) 86 , E ) 90", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 120 m in length crosses a telegraph post in 12 seconds . the speed of the train is ? The options: A ) 16 kmph , B ) 88 kmph , C ) 36 kmph , D ) 18 kmph , E ) 19 kmph", "input": "", "output": "", "answer": "C" }, { "instruction": "a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 32 inches . find b . The options: A ) 8 , B ) 16 , C ) 24 , D ) 32 , E ) 48", "input": "", "output": "", "answer": "D" }, { "instruction": "if ' a ' completes a piece of work in 3 days , which ' b ' completes it in 5 days and ' c ' takes 10 days to complete the same work . how long will they take to complete the work , if they work together ? The options: A ) 1.5 DAys , B ) 4.5 DAys , C ) 7 DAys , D ) 9.8 DAys , E ) 9 DAys", "input": "", "output": "", "answer": "A" }, { "instruction": "a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 105 liters of drink a to convert it to drink b ? The options: A ) 14 , B ) 21 , C ) 28 , D ) 35 , E ) 42", "input": "", "output": "", "answer": "D" }, { "instruction": "at what rate percent per annum will a sum of money double in 9 years . The options: A ) 12.5 % , B ) 13.5 % , C ) 11.5 % , D ) 11.1 % , E ) 21.5 %", "input": "", "output": "", "answer": "D" }, { "instruction": "evaluate : 30 - 12 \u00f7 3 \u00d7 2 = The options: A ) 11 , B ) 22 , C ) 33 , D ) 44 , E ) 55", "input": "", "output": "", "answer": "B" }, { "instruction": "if n is a prime number greater than 11 , what is the remainder when n ^ 2 is divided by 12 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to : The options: A ) 22 , B ) 37 , C ) 38 , D ) 398 , E ) 72", "input": "", "output": "", "answer": "A" }, { "instruction": "noelle walks from point a to point b at an average speed of 3 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 4 kilometers per hour ? The options: A ) 5.75 , B ) 6 , C ) 7.25 , D ) 7.5 , E ) 7.75", "input": "", "output": "", "answer": "B" }, { "instruction": "the product of x and y is a constant . if the value of x is increased by 40 % , by what percentage must the value of y be decreased ? The options: A ) 34 % , B ) 36 % , C ) 28.57 % , D ) 30 % , E ) 32 %", "input": "", "output": "", "answer": "C" }, { "instruction": "if a and b are the roots of the equation x 2 - 6 x + 6 = 0 , then the value of a 2 + b 2 is : The options: A ) 36 , B ) 24 , C ) 17 , D ) 6 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 3 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ? The options: A ) 4.2 , B ) 5.2 , C ) 6 , D ) 8 , E ) 10", "input": "", "output": "", "answer": "A" }, { "instruction": "6 persons in an organization including x and y were to be divided in two groups of 3 members each . the total number of groups containing both x and y is what fraction of the total number of groups which can be formed ? The options: A ) 1 / 4 , B ) 1 / 70 , C ) 3 / 14 , D ) 3 / 10 , E ) 11 / 14", "input": "", "output": "", "answer": "D" }, { "instruction": "having scored 94 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? The options: A ) 28 , B ) 27 , C ) 26 , D ) 22 , E ) 24", "input": "", "output": "", "answer": "D" }, { "instruction": "ratio between rahul and deepak is 4 : 2 , after 6 years rahul age will be 22 years . what is deepak present age The options: A ) 9 , B ) 3 , C ) 5 , D ) 2 , E ) 7", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 150 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ? The options: A ) 288 , B ) 236 , C ) 350 , D ) 299 , E ) 266", "input": "", "output": "", "answer": "C" }, { "instruction": "the present worth of a certain bill due sometime hence is rs . 1296 and the true discount is rs . 72 . what is the banker ' s discount ? The options: A ) rs . 76 , B ) rs . 72 , C ) rs . 74 , D ) rs . 4 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "A" }, { "instruction": "the grade point average of the entire class is 88 . if the average of one third of the class is 94 , what is the average of the rest of the class ? The options: A ) 82 , B ) 83 , C ) 84 , D ) 85 , E ) 86", "input": "", "output": "", "answer": "D" }, { "instruction": "a truck covers a distance of 376 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? The options: A ) 6 hours , B ) 5 hours , C ) 7 hours , D ) 8 hours , E ) nonE", "input": "", "output": "", "answer": "A" }, { "instruction": "the ratio of the ages of maala and kala is 3 : 5 . the total of their ages is 3.2 decades . the proportion of their ages after 0.8 decades will be [ 1 decade = 10 years ] The options: A ) 6 : 5 , B ) 5 : 7 , C ) 4 : 5 , D ) 7 : 9 , E ) 3 : 6", "input": "", "output": "", "answer": "B" }, { "instruction": "mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 18 miles , how many miles was mike ' s ride ? The options: A ) 30 , B ) 34 , C ) 38 , D ) 42 , E ) 48", "input": "", "output": "", "answer": "C" }, { "instruction": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 55 percent . The options: A ) 145 , B ) 150 , C ) 175 , D ) 165 , E ) 130", "input": "", "output": "", "answer": "D" }, { "instruction": "in a box of 11 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? The options: A ) 28 / 55 , B ) 19 / 33 , C ) 7 / 11 , D ) 4 / 7 , E ) 3 / 5", "input": "", "output": "", "answer": "A" }, { "instruction": "an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 32 - meter platform and caught it after it had traveled 46.5 meters . how many times did the ball bounce ? The options: A ) 4 , B ) 6 , C ) 7 , D ) 8 , E ) 9", "input": "", "output": "", "answer": "A" }, { "instruction": "there are two cars . one is 90 miles north of the other . simultaneously , the car to the north is driven westward at 25 miles per hour and the other car is driven eastward at 35 miles per hour . how many miles apart are the cars after 2 hours ? The options: A ) 120 , B ) 130 , C ) 140 , D ) 150 , E ) 160", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical box each of edge 20 cm that can be packed inside the box is : The options: A ) 30 , B ) 60 , C ) 90 , D ) 120 , E ) 140", "input": "", "output": "", "answer": "D" }, { "instruction": "a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 9 volts , what was the smallest possible recording in volts ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 7", "input": "", "output": "", "answer": "E" }, { "instruction": "bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p & q , having each turn together to fill the empty drum ? The options: A ) 45 , B ) 53 , C ) 54 , D ) 46 , E ) 63", "input": "", "output": "", "answer": "A" }, { "instruction": "a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 40 now , the son age 5 years back was The options: A ) 14 , B ) 17 , C ) 15 , D ) 19 , E ) 99", "input": "", "output": "", "answer": "C" }, { "instruction": "the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : The options: A ) 276 , B ) 299 , C ) 420 , D ) 345 , E ) 365", "input": "", "output": "", "answer": "C" }, { "instruction": "find compound interest on rs . 7500 at 4 % per year for 2 years , compounded annually . The options: A ) 812 , B ) 712 , C ) 412 , D ) 512 , E ) 612", "input": "", "output": "", "answer": "E" }, { "instruction": "a man whose speed is 5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? The options: A ) 7 , B ) 4 , C ) 6 , D ) 9 , E ) 4.55", "input": "", "output": "", "answer": "E" }, { "instruction": "in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 178 votes . find the total number of valid votes ? The options: A ) 445 , B ) 570 , C ) 480 , D ) 520 , E ) 550", "input": "", "output": "", "answer": "A" }, { "instruction": "what is the angle between the hands of a clock when time is 10 : 30 ? The options: A ) 65 DEg , B ) 75 DEg , C ) 45 DEg , D ) 15 DEg , E ) 135 DEg", "input": "", "output": "", "answer": "E" }, { "instruction": "at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 10.50 + 0.25 ( s \u2013 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ? The options: A ) $ 0.50 , B ) $ 1.00 , C ) $ 1.25 , D ) $ 1.50 , E ) $ 1.75", "input": "", "output": "", "answer": "D" }, { "instruction": "if jake loses 5 pounds , he will weigh thrice as much as his sister . together they now weigh 285 pounds . what is jake ' s present weight , in pounds ? The options: A ) 131 , B ) 135 , C ) 139 , D ) 147 , E ) 215", "input": "", "output": "", "answer": "E" }, { "instruction": "6 computers , each working at the same constant rate , together can process a certain amount of data in 9 days . how many additional computers , each working at the same constant rate , will be needed to process the same amount of data in 6 days ? The options: A ) 3 , B ) 5 , C ) 6 , D ) 9 , E ) 12", "input": "", "output": "", "answer": "A" }, { "instruction": "the radius of a cylindrical vessel is 7 cm and height is 4 cm . find the whole surface of the cylinder ? The options: A ) 484 , B ) 771 , C ) 440 , D ) 767 , E ) 1981", "input": "", "output": "", "answer": "A" }, { "instruction": "mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.00 . each pot cost 0.25 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? The options: A ) $ 1.75 , B ) $ 1.96 , C ) $ 2.00 , D ) $ 2.15 , E ) $ 2.30", "input": "", "output": "", "answer": "B" }, { "instruction": "determine the value of ( 27 / 31 * 31 / 27 ) * 3 The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "a rectangular grassy plot 110 m by 65 cm has a gravel path . 5 cm wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . mt The options: A ) 680 , B ) 378 , C ) 267 , D ) 299 , E ) 271", "input": "", "output": "", "answer": "A" }, { "instruction": "in a dairy farm , 16 cows eat 16 bags of husk in 16 days . in how many days one cow will eat one bag of husk ? The options: A ) 16 , B ) 40 , C ) 20 , D ) 26 , E ) 30", "input": "", "output": "", "answer": "A" }, { "instruction": "in 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each , how many pumps will raise 2030 tons of water in 12 days of 11 hrs each ? The options: A ) 12 , B ) 15 , C ) 18 , D ) 21 , E ) 22", "input": "", "output": "", "answer": "B" }, { "instruction": "if the probability of rain on any given day in chicago during the summer is 20 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ? The options: A ) 2 / 25 , B ) 3 / 125 , C ) 7 / 125 , D ) 12 / 625 , E ) 16 / 625", "input": "", "output": "", "answer": "E" }, { "instruction": "find the product of the local value and absolute value of 2 in 564823 The options: A ) 40 , B ) 60 , C ) 80 , D ) 100 , E ) 18000", "input": "", "output": "", "answer": "A" }, { "instruction": "the present population of a town is 60,000 . the population increases annually at 10 % . find the population after 3 years . The options: A ) 86000 , B ) 79860 , C ) 76300 , D ) 82900 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "32.32 / 2000 is equal to : The options: A ) 1.012526 , B ) 0.012625 , C ) 0.12526 , D ) 0.01616 , E ) 0.12725", "input": "", "output": "", "answer": "D" }, { "instruction": "george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 5 % of the money for taxi fare and buys 25 mangoes . how many oranges can he buy ? The options: A ) 25 , B ) 30 , C ) 20 , D ) 22.5 , E ) 12", "input": "", "output": "", "answer": "D" }, { "instruction": "if 4 spiders make 4 webs in 4 days , then 1 spider will make 1 web in how many days ? The options: A ) 1 , B ) 3 , C ) 5 , D ) 4 , E ) 6", "input": "", "output": "", "answer": "D" }, { "instruction": "in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? The options: A ) 35.67 % , B ) 65.80 % , C ) 68.57 % , D ) 69.57 % , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "john left home and drove at the rate of 50 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ? The options: A ) 235 milEs . , B ) 245 milEs . , C ) 255 milEs . , D ) 265 milEs . , E ) 275 milEs .", "input": "", "output": "", "answer": "D" }, { "instruction": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : The options: A ) 12 kg , B ) 60 kg , C ) 72 kg , D ) 88 kg , E ) 96 kg", "input": "", "output": "", "answer": "B" }, { "instruction": "one of the longest sides of the triangle is 20 m , the other side is 10 m . area of the triangle is 80 m ^ 2 . what is the another side of the triangle ? The options: ['A ) 2 sqrt ( 61 )', 'B ) 2 sqrt ( 62 )', 'C ) 2 sqrt ( 63 )', 'D ) 2 sqrt ( 64 )', 'E ) 2 sqrt ( 65 )']", "input": "", "output": "", "answer": "E" }, { "instruction": "anne earned $ 3 an hour baby - sitting , and $ 4 an hour working in the garden . last week she did baby - sitting for 5 hours and garden work for 3 hours . how much more money does she need to buy a game that costs $ 35 ? The options: A ) $ 8 , B ) $ 12 , C ) $ 6 , D ) $ 21 , E ) $ 10", "input": "", "output": "", "answer": "A" }, { "instruction": "if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c \u00e2 \u02c6 \u2019 a ? The options: A ) 25 , B ) 70 , C ) 90 , D ) 140 , E ) it CAn not BE DEtErminED From thE inFormAtion givEn", "input": "", "output": "", "answer": "B" }, { "instruction": "a envelop weight 8.2 gm , if 800 of these envelop are sent with an advertisement mail . how much wieght ? The options: A ) 6.56 kg , B ) 6.8 kg , C ) 6.7 kg , D ) 6.9 kg , E ) 7.8 kg", "input": "", "output": "", "answer": "A" }, { "instruction": "if a coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land tails up on the first 4 flips and not on the last flip ? The options: A ) 1 / 8 , B ) 1 / 32 , C ) 1 / 4 , D ) 1 / 2 , E ) 1 / 16", "input": "", "output": "", "answer": "B" }, { "instruction": "the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 990 square meters , what is the depth of the channel ( in meters ) ? The options: A ) 50 , B ) 60 , C ) 70 , D ) 80 , E ) 90", "input": "", "output": "", "answer": "E" }, { "instruction": "income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 14000 , then find his savings ? The options: A ) 3600 , B ) 2800 , C ) 3608 , D ) 3602 , E ) 3603", "input": "", "output": "", "answer": "B" }, { "instruction": "two employees x and y are paid a total of rs . 750 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? The options: A ) s . 200.90 , B ) s . 250.90 , C ) s . 290.90 , D ) s . 300.90 , E ) s . 340.90", "input": "", "output": "", "answer": "E" }, { "instruction": "the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 19 . find the sum : The options: A ) 4500 , B ) 7600 , C ) 5000 , D ) 6000 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "B" }, { "instruction": "1398 x 1398 = ? The options: A ) 1624404 , B ) 1851404 , C ) 1951404 , D ) 1954404 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "D" }, { "instruction": "machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 60 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ? The options: A ) 20 , B ) 30 , C ) 40 , D ) 10 , E ) 16", "input": "", "output": "", "answer": "A" }, { "instruction": "if the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? The options: A ) 4 , B ) 8 , C ) 12 , D ) 3 , E ) 18", "input": "", "output": "", "answer": "D" }, { "instruction": "if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 12 ? The options: A ) 0 , B ) 1 , C ) 2 , D ) 3 , E ) 5", "input": "", "output": "", "answer": "B" }, { "instruction": "set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ? The options: A ) 0 , B ) 2 , C ) 4 , D ) 6 , E ) 8", "input": "", "output": "", "answer": "C" }, { "instruction": "what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ? The options: A ) 100 , B ) 200 , C ) 300 , D ) 600 , E ) 900", "input": "", "output": "", "answer": "E" }, { "instruction": "the sum of all the integers g such that - 26 < g < 24 is The options: A ) 0 , B ) - 2 , C ) - 25 , D ) - 49 , E ) - 51", "input": "", "output": "", "answer": "D" }, { "instruction": "a sum of money at simple interest amounts to $ 680 in 3 years and to $ 710 in 4 years . the sum is : The options: A ) $ 153 , B ) $ 698 , C ) $ 590 , D ) $ 549 , E ) $ 675", "input": "", "output": "", "answer": "C" }, { "instruction": "a student chose a number , multiplied it by 2 , then subtracted 180 from the result and got 104 . what was the number he chose ? The options: A ) 90 , B ) 100 , C ) 120 , D ) 142 , E ) 200", "input": "", "output": "", "answer": "D" }, { "instruction": "two brothers take the same route to school on their bicycles , one gets to school in 25 minutes and the second one gets to school in 36 minutes . the ratio of their speeds is The options: A ) 4 : 5 , B ) 1 : 2 , C ) 6 : 7 , D ) 5 : 6 , E ) nonE", "input": "", "output": "", "answer": "D" }, { "instruction": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 9 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ? The options: A ) 20 km , B ) 30 km , C ) 45 km , D ) 50 km , E ) 60 km", "input": "", "output": "", "answer": "C" }, { "instruction": "in a certain warehouse , 50 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? The options: A ) 8 , B ) 64 , C ) 72 , D ) 102 , E ) 144", "input": "", "output": "", "answer": "C" }, { "instruction": "in one hour , a boat goes 11 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is : The options: A ) 3 , B ) 5 , C ) 8 , D ) 9 , E ) 10", "input": "", "output": "", "answer": "C" }, { "instruction": "the ratio of the cost price and the selling price is 4 : 5 . the profit percent is ? The options: A ) 17 , B ) 56 , C ) 25 , D ) 28 , E ) 12", "input": "", "output": "", "answer": "C" }, { "instruction": "if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . The options: A ) 86 % , B ) 87 % , C ) 88 % , D ) 89 % , E ) 90 %", "input": "", "output": "", "answer": "B" }, { "instruction": "of the votes cast on a certain proposal , 62 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . ) The options: A ) 280 , B ) 290 , C ) 300 , D ) 310 , E ) 320", "input": "", "output": "", "answer": "D" }, { "instruction": "how many of the integers between 20 and 80 are even ? The options: A ) 21 , B ) 30 , C ) 11 , D ) 10 , E ) 9", "input": "", "output": "", "answer": "B" }, { "instruction": "if a and b are positive integers , and a = 5 b + 20 , the greatest common divisor of a and b can not be The options: A ) 2 , B ) 4 , C ) 5 , D ) 6 , E ) 10", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the value of ( 44444445 * 88888885 * 44444442 + 44444438 ) / 44444444 ^ 2 The options: A ) 88888883 , B ) 88888827 , C ) 16992677 , D ) 88888237 , E ) 88888182", "input": "", "output": "", "answer": "A" }, { "instruction": "find the greatest number which leaves the same remainder when it divides 21 , 57 and 105 . The options: A ) 18 , B ) 8 , C ) 12 , D ) 16 , E ) nonE oF thEsE", "input": "", "output": "", "answer": "C" }, { "instruction": "at a summer camp with 2100 participants , 1 / 2 of the campers are aged 8 to 12 . next year , the number of campers aged 8 to 12 will increase by 1 / 3 . after this change , what percentage of the total 2100 campers will the 8 - to 12 - year - olds represent ? The options: A ) 62 , B ) 68 , C ) 66 , D ) 64 , E ) 66 2 / 3", "input": "", "output": "", "answer": "E" }, { "instruction": "express 35 mps in kmph ? The options: A ) 122 , B ) 188 , C ) 126 , D ) 140 , E ) 124", "input": "", "output": "", "answer": "C" }, { "instruction": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 2.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ? The options: A ) s . 1014 , B ) s . 1140 , C ) s . 999 , D ) s . 1665 , E ) s . 1020", "input": "", "output": "", "answer": "D" }, { "instruction": "what is the area inscribed by the lines y = 4 , x = 2 , y = 6 - 2 x on an xy - coordinate plane ? The options: A ) A ) 1 , B ) B ) 2 , C ) C ) 4 , D ) D ) 6 , E ) E ) 8", "input": "", "output": "", "answer": "A" }, { "instruction": "there are 690 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? The options: A ) 75 , B ) 100 , C ) 115 , D ) 175 , E ) 225", "input": "", "output": "", "answer": "C" }, { "instruction": "find the area of a parallelogram with base 20 cm and height 40 cm ? The options: A ) 100 Cm 2 , B ) 250 Cm 2 , C ) 800 Cm 2 , D ) 296 Cm 2 , E ) 456 Cm 2", "input": "", "output": "", "answer": "C" }, { "instruction": "in a garden , there are 10 rows and 14 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is The options: A ) 20 m , B ) 22 m , C ) 24 m , D ) 26 m , E ) 28 m", "input": "", "output": "", "answer": "E" }, { "instruction": "a can do a piece of work in 6 hours ; b and c together can do it in 4 hours , which a and c together can do it in 3 hours . how long will b alone take to do it ? The options: A ) 8 hours , B ) 6 hours , C ) 14 hours , D ) 12 hours , E ) 5 hours", "input": "", "output": "", "answer": "D" }, { "instruction": "a train 250 m long running at 72 kmph crosses a platform in 30 sec . what is the length of the platform ? The options: A ) 350 m , B ) 200 m , C ) 250 m , D ) 270 m , E ) 300 m", "input": "", "output": "", "answer": "A" }, { "instruction": "4 shepherds were watching over the flocks and they were commenting on how many sheep they each had . if ram had 3 more sheep than he would have one less than rahul . wheras akar has the same number as the other 3 shepherds put togeher . if john had 3 less sheep he would have exactly trile the number of ram . if they were evenly distributed if they would each have 11 seep how many sheep did ram have ? The options: A ) 2 , B ) 3 , C ) 4 , D ) 5 , E ) 6", "input": "", "output": "", "answer": "B" } ]