messages listlengths 2 2 |
|---|
[
{
"content": "if the wheel is 14 cm then the number of revolutions to cover a distance of 3520 cm is ?\n\nOptions:\na ) 22 , b ) 28 , c ) 17 , d ) 12 , e ) 40",
"role": "user"
},
{
"content": "\"2 * 22 / 7 * 14 * x = 3520 = > x = 40 answer : e\"",
"role": "assistant"
}
] |
[
{
"content": "in a 280 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :\n\nOptions:\na ) 22 seconds , b ) 12 seconds , c ) 10 seconds , d ) 18 seconds , e ) 28 seconds",
"role": "user"
},
{
"content": "\"b runs 56 m in 7 sec . = > b runs 280 m in 7 / 56 * 280 = 35 seconds... |
[
{
"content": "the mean of 50 observations was 32 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is\n\nOptions:\na ) 35.2 , b ) 32.5 , c ) 36.5 , d ) 39.1 , e ) none",
"role": "user"
},
{
"content": "\"sol . therefore correct sum = ( 32 Γ 50 + 48 β 23 ) =... |
[
{
"content": "a card board of 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the cardbox . find the total number of pins used .\n\nOptions:\na ) 135 , b ) 136 , c ) 137 , d ) 138 , e ) 139",
"role": "user"
},
{
"content": "( 35 * 4 ) - 4 = 136 an... |
[
{
"content": "the cash realised on selling a 14 % stock is rs . 106.25 , brokerage being 1 / 4 % is\n\nOptions:\na ) 123 , b ) 106 , c ) 100 , d ) 156 , e ) 240",
"role": "user"
},
{
"content": "explanation : cash realised = rs . ( 106.25 - 0.25 ) = rs . 106 . answer : b",
"role": "assistant"
... |
[
{
"content": "a car travels uphill at 30 km / hr and downhill at 70 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ?\n\nOptions:\na ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 37 kmph",
"role": "user"
},
{
"content": "avg speed = total distance /... |
[
{
"content": "8900 Γ· 6 Γ· 4 = ?\n\nOptions:\na ) 349 , b ) 541.75 , c ) 224.37 , d ) 370.833 , e ) none of these",
"role": "user"
},
{
"content": "explanation : given exp . 8900 * 1 / 6 * 1 / 4 = 370.833 answer : d",
"role": "assistant"
}
] |
[
{
"content": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back , how far is the place ?\n\nOptions:\na ) 144 km , b ) 30 km , c ) 48 km , d ) 12 km , e ) 15 km",
"role": "user"
},
{
"content": "\"speed of d... |
[
{
"content": "the batting average of a particular batsman is 58 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score .\n\nOptions:\na ) 179 , b ) 208 , c ) 210 , d ) 133 , e ) 229",
"role": "user"
... |
[
{
"content": "the area of a rectangular field is equal to 200 square meters . its perimeter is equal to 60 meters . find the width of this rectangle .\n\nOptions:\na ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25",
"role": "user"
},
{
"content": "\"l * w = 200 : area , l is the length and w is the width . ... |
[
{
"content": "in what time will a train 100 m long cross an electric pole , it its speed be 126 km / hr ?\n\nOptions:\na ) 2.5 , b ) 2.9 , c ) 2.4 , d ) 2.85 , e ) 2.1",
"role": "user"
},
{
"content": "\"speed = 126 * 5 / 18 = 35 m / sec time taken = 100 / 35 = 2.85 sec . answer : d\"",
"role": ... |
[
{
"content": "what is the units digit of the expression 14 ^ 7 β 17 ^ 4 ?\n\nOptions:\na ) 0 , b ) 3 , c ) 4 , d ) 8 , e ) 6",
"role": "user"
},
{
"content": "i think answer on this one should be d too . since we know that 14 ^ 7 > 17 ^ 4 , as will said one should always check if the number is posit... |
[
{
"content": "find two integers , neither of which ends in a zero , and whose product is exactly 10 , 000,000\n\nOptions:\na ) 64 and 15,625 , b ) 60 and 15,625 , c ) 64 and 15,620 , d ) 64 and 15,635 , e ) 128 and 78,125",
"role": "user"
},
{
"content": "\"10 , 000,000 = 10 ^ 7 = 10 x 10 x 10 x 10 ... |
[
{
"content": "a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?\n\nOptions:\na ) 28 sec , b ) 16 sec , c ) 37 sec , d ) 18 sec , e ) 17 sec",
"role": "use... |
[
{
"content": "if the price of a certain computer increased 30 percent from d dollars to 338 dollars , then 2 d =\n\nOptions:\na ) 540 , b ) 520 , c ) 619 , d ) 649 , e ) 700",
"role": "user"
},
{
"content": "\"before price increase price = d after 30 % price increase price = d + ( 30 / 100 ) * d = 1... |
[
{
"content": "what is the square root of 400 , divided by 2 ?\n\nOptions:\na ) 9 , b ) 36 , c ) 122 , d ) 6 , e ) 10",
"role": "user"
},
{
"content": "\"square root is a number times itself square root of 400 = 20 , 20 / 2 = 10 ( e ) 1\"",
"role": "assistant"
}
] |
[
{
"content": "the jogging track in a sports complex is 561 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ?\n\nOptions:\na ) 5.29 min , b ) 5.28 min , c ) 4.08 min , d ) 9.28 m... |
[
{
"content": "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 ` s the approximate ... |
[
{
"content": "how long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak , but due to the leak it will take one additional hour to be filled ?\n\nOptions:\na ) 12 hours , b ) 111 hours , c ) 15 hours , d ) 14 hours , e ) 11 hours",
"role": "user"
},
... |
[
{
"content": "an alloy of copper and zinc contains copper and zinc in the ratio 3 : 5 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 2 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ?\n\nOptions:\na ) 1 : 2 ,... |
[
{
"content": "in a factory , there are 50 % technicians and 50 % non - technicians . if the 50 % of the technicians and 50 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?\n\nOptions:\na ) 50 % , b ) 57 % , c ) 52 % , d ) 22 % , e ) 42 %",
"role": "user"... |
[
{
"content": "a certain no . when divided by 50 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?\n\nOptions:\na ) 2 , b ) 4 , c ) 5 , d ) 8 , e ) 9",
"role": "user"
},
{
"content": "\"explanation : 50 + 25 = 75 / 15 = 5 ( remainder ) c\"",
"role": "assistant"
}... |
[
{
"content": "the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is ?\n\nOptions:\na ) 35 yr , b ) 25 yr , c ) 20 yr , d ) 30 yr , e ) 40 yr",
"role": "user"
},
{
"content": "\"let t... |
[
{
"content": "noelle walks from point a to point b at an average speed of 6 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 7 kilometers per hour ?\n\nOptions:\na ) 6.75 , b ) 7 , c ) 7.25 , d ) 7.5 , e ) 8.... |
[
{
"content": "a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ?\n\nOptions:\na ) 16 , b ) 25 , c ) 33 , d ) 46 , e ) 58",
"role": "user"
},
{
"content": "\"the perimeter of a circle is 2 * pi * r . the perimeter of a semicircle is 2 * pi * r / 2 + 2 r = pi * r + ... |
[
{
"content": "there are 3 red chips and 2 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ?\n\nOptions:\na ) 10 , b ) 12 , c ) 24 , d ) 60 , e ) 100",
"role": "user"
},
{
"content": "\"there are 3 red chips and 2 blue ones . when a... |
[
{
"content": "0.0006688 / 0.0000150 x 19.85 = ?\n\nOptions:\na ) 850 , b ) 900 , c ) 950 , d ) 1000 , e ) 2000",
"role": "user"
},
{
"content": "\"explanation : ? = 6688 / 150 x 19.85 = 45 x 20 = 900 answer : option b\"",
"role": "assistant"
}
] |
[
{
"content": "if rs . 578 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ?\n\nOptions:\na ) s . 300 , b ) s . 408 , c ) s . 389 , d ) s . 368 , e ) s . 323",
"role": "user"
},
{
"content": "\"( a = 2 / 3 ... |
[
{
"content": "sum of the squares of 3 no . ' s is 222 and the sum of their products taken two at a time is 131 . find the sum ?\n\nOptions:\na ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30",
"role": "user"
},
{
"content": "\"( a + b + c ) 2 = a 2 + b 2 + c 2 + 2 ( ab + bc + ca ) = 222 + 2 * 131 a + b + c... |
[
{
"content": "how many seconds does sandy take to cover a distance of 500 meters , if sandy runs at a speed of 18 km / hr ?\n\nOptions:\na ) 80 , b ) 100 , c ) 120 , d ) 140 , e ) 160",
"role": "user"
},
{
"content": "\"18 km / hr = 18000 m / 3600 s = 5 m / s time = 500 / 5 = 100 seconds the answer ... |
[
{
"content": "( 0.96 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.96 ) ( power 2 ) + 0.096 + ( 0.1 ) ( power 2 ) is :\n\nOptions:\na ) 0.68 , b ) 0.086 , c ) 0.86 , d ) 0.068 , e ) none of them",
"role": "user"
},
{
"content": "\"given expression = ( 0.96 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.96 ) ... |
[
{
"content": "by selling an article for $ 110 , a person gains $ 10 . what is the gain % ?\n\nOptions:\na ) 25 % , b ) 30 % , c ) 50 % , d ) 20 % , e ) 10 %",
"role": "user"
},
{
"content": "\"s . p . = $ 110 gain = $ 10 c . p . = 110 - 10 = 100 gain % = 10 / 100 * 100 % = 10 % answer is e\"",
"... |
[
{
"content": "if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 14.00 / day for each additional week , how much does it cost to stay for 23 days ?\n\nOptions:\na ) $ 160 , b ) $ 350 , c ) $ 282 , d ) $ 274 , e ) $ 286",
"role": "user"
},
{
"content": "\"tota... |
[
{
"content": "a pet groomer has 7 animals to groom for the day ( 2 cats and 5 dogs ) . if she randomly selects 4 animals to groom before lunch , what is the probability she will finish all the cats before lunch ?\n\nOptions:\na ) 3 / 7 , b ) 2 / 7 , c ) 12 / 13 , d ) 5 / 11 , e ) 4 / 7",
"role": "user"
},... |
[
{
"content": "the difference between a two - digit number and the number obtained by interchanging the digit is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?\n\nOptions:\na ) 8 , b ) 15 , c ) 14 , d ) 12 , e ) ... |
[
{
"content": "a trader bought a car at 30 % 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 ?\n\nOptions:\na ) 118 , b ) 110 , c ) 112 , d ) 113 , e ) 98",
"role": "user"
},
{
"content": "\"original p... |
[
{
"content": "a cube is divided into 125 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 p... |
[
{
"content": "there are 190 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ?\n\nOptions:\na ) 72 , b ) 85 , c ) 94 , d ) 105 , e ) 108",
... |
[
{
"content": "50 men took a dip in a water tank 40 m long and 20 m broad on a religious day . if the average displacement of water by a man is 4 m 3 , then the rise in the water level in the tank will be :\n\nOptions:\na ) 20 cm , b ) 25 cm , c ) 35 cm , d ) 50 cm , e ) none of these",
"role": "user"
},
... |
[
{
"content": "if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 22 , 28 , 19 , 33 and 35 ?\n\nOptions:\na ) 33 , b ) 25 , c ) 27 , d ) 24 , e ) 23",
"role":... |
[
{
"content": "suraj has a certain average of runs for 9 innings . in the 10 th innings he scores 200 runs thereby increasing his average by 8 runs . what is his average after the 10 th innings ?\n\nOptions:\na ) 149 , b ) 190 , c ) 128 , d ) 178 , e ) 190",
"role": "user"
},
{
"content": "\"to impro... |
[
{
"content": "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 $ 2340 , what will be b ' s share of the earnings ?\n\nOptions:\na ) $ 1100 , b ) $ 520 , c ) $ 780 , d ) $ 1170 , e ) $ 630",
"role": "user"
... |
[
{
"content": "find 62976 Γ· ? = 123\n\nOptions:\na ) 412 , b ) 502 , c ) 512 , d ) 522 , e ) none",
"role": "user"
},
{
"content": "\"answer let 62976 / n = 123 then n = 62976 / 123 = 512 . option : c\"",
"role": "assistant"
}
] |
[
{
"content": "a tank is filled by 3 pipes with uniform flow . the first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone . the 2 nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe . the time required by... |
[
{
"content": "john and david can finish a job together in 3 hours . if john can do the job by himself in 4 hours , what percent of the job does david do ?\n\nOptions:\na ) 35 % , b ) 28 % , c ) 26 % , d ) 20 % , e ) 25 %",
"role": "user"
},
{
"content": "\"you can also plug in numbers . for example ... |
[
{
"content": "rs . 200 amounts to rs . 800 in 8 years at simple interest . if the interest is increased by 5 % , it would amount to how much ?\n\nOptions:\na ) 520 , b ) 440 , c ) 260 , d ) 280 , e ) 120",
"role": "user"
},
{
"content": "\"( 200 * 5 * 8 ) / 100 = 80 200 + 80 = 280 answer : d\"",
... |
[
{
"content": "a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money t did bob receive ?\n\nOptions:\na ) 20 , b ) 22 , c ) 24 ,... |
[
{
"content": "a train passes a platform in 22 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\n\nOptions:\na ) 40 , b ) 50 , c ) 60 , d ) 30 , e ) 20",
"role": "user"
},
{
"content": "\"speed of th... |
[
{
"content": "by selling a book for 250 , 20 % profit was earned . what is the cost price of the book ?\n\nOptions:\na ) a ) 215 , b ) b ) 208 , c ) c ) 230 , d ) d ) 235 , e ) e ) 240",
"role": "user"
},
{
"content": "\"sp = 120 % of cp ; : . cp = 250 Γ 100 / 120 = 208 option ' b '\"",
"role": ... |
[
{
"content": "the speed at which a man can row a boat in still water is 6 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 80 meters ?\n\nOptions:\na ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44",
"role": "user"
},
{
"content": "\"the spe... |
[
{
"content": "the diagonal of a rhombus are 40 m and 30 m . its area is :\n\nOptions:\n['a ) 600', 'b ) 450', 'c ) 350', 'd ) 500', 'e ) 620']",
"role": "user"
},
{
"content": "area of the rhombus = 1 / 2 d 1 d 2 = ( 1 / 2 Γ£ β 40 Γ£ β 30 ) cm ( power ) 2 = 40 Γ£ β 15 = 600 cm ( power ) 2 answer is a .... |
[
{
"content": "if p / q = 2 / 7 , then 2 p + q = ?\n\nOptions:\na ) 11 , b ) 14 , c ) 13 , d ) 15 , e ) 16",
"role": "user"
},
{
"content": "\"let p = 2 , q = 7 then 2 * 2 + 7 = 11 so 2 p + q = 11 . answer : a\"",
"role": "assistant"
}
] |
[
{
"content": "if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units z digit of ( a + 2 ) ^ 2 ?\n\nOptions:\na ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) c . 14",
"role": "user"
},
{
"content": "\"i also got a . by punching in numers : ... |
[
{
"content": "the positive integers m and n leave remainders of 2 and 3 , respectively , when divided by 6 . m > n . what is the remainder when m β n is divided by 6 ?\n\nOptions:\na ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5",
"role": "user"
},
{
"content": "m is 2 more than a multiple of 6 ; n is 3 more ... |
[
{
"content": "the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 12 years and that of the other 9 students is 16 years . the age of the 15 th student is ?\n\nOptions:\na ) 11 years , b ) 17 years , c ) 21 years , d ) 14 years , e ) 12 years",
"role": "use... |
[
{
"content": "a shopkeeper buys two articles for rs . 1000 each and then sells them , making 50 % profit on the first article and 50 % loss on second article . find the net profit or loss percent ?\n\nOptions:\na ) 500 , b ) 768 , c ) 276 , d ) 280 , e ) 279",
"role": "user"
},
{
"content": "\"profi... |
[
{
"content": "if ( a + b ) = 4 , ( b + c ) = 5 and ( c + d ) = 3 , what is the value of ( a + d ) ?\n\nOptions:\na ) 16 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 2 .",
"role": "user"
},
{
"content": "\"given a + b = 4 b + c = 5 c + d = 3 ( a + b ) - ( b + c ) + ( c + d ) = ( a + d ) = > 4 - 5 + 3 = 2 ... |
[
{
"content": "the sum of two numbers is 40 and their difference is 4 . the ratio of the numbers is\n\nOptions:\na ) 11 : 9 , b ) 11 : 18 , c ) 21 : 19 , d ) 21 : 19 , e ) none",
"role": "user"
},
{
"content": "sol . let the numbers be x and y . then , x + y / x - y = 40 / 4 = 10 β ( x + y ) = 10 ( x... |
[
{
"content": "what is the 28 th digit to the right of the decimal point in the decimal form of 4 / 11 ?\n\nOptions:\na ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "\"4 / 11 = 0.363636 . . . the even numbered positions in the decimal expansion are all 6 . the answer is d .\""... |
[
{
"content": "8 , 24 , 12 , 36 , 18 , 54 , ( . . . . )\n\nOptions:\na ) 27 , b ) 68 , c ) 107 , d ) 108 , e ) 28",
"role": "user"
},
{
"content": "\"8 Γ 3 = 24 24 Γ· 2 = 12 12 Γ 3 = 36 36 Γ· 2 = 18 18 Γ 3 = 54 54 Γ· 2 = 27 answer is a\"",
"role": "assistant"
}
] |
[
{
"content": "how many times will the digit 6 be written when listing the integers from 1 to 1000 ?\n\nOptions:\na ) 150 , b ) 280 , c ) 310 , d ) 420 , e ) 300",
"role": "user"
},
{
"content": "\"many approaches are possible . for example : consider numbers from 0 to 999 written as follows : 1 . 00... |
[
{
"content": "in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 76 per kg ?\n\nOptions:\na ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 5 : 2",
"role": "user"
},
{
"content": "\"( 96 - 76 ) / ( 76 - 68 ) = 20 / 8 = 5... |
[
{
"content": "the simple interest on rs . 23 for 3 months at the rate of 5 paise per rupeeper month is\n\nOptions:\na ) 3.45 , b ) 4.5 , c ) 2.25 , d ) 3.21 , e ) none",
"role": "user"
},
{
"content": "sol . s . i . = rs . [ 23 * 5 / 100 * 3 ] = rs . 3.45 answer a",
"role": "assistant"
}
] |
[
{
"content": "car a runs at the speed of 50 km / hr and reaches its destination in 8 hours . car b runs at the speed of 65 km / h and reaches its destination in 4 hours . what is the ratio of distances covered by car a and car b ?\n\nOptions:\na ) 3 : 7 , b ) 4 : 9 , c ) 20 : 13 , d ) 5 : 7 , e ) 6 : 11",
"... |
[
{
"content": "for any integer m greater than 1 , $ m denotes the product of all the integers from 1 to m , inclusive . how many prime numbers are there between $ 7 + 2 and $ 7 + 10 , inclusive ?\n\nOptions:\na ) none , b ) one , c ) two , d ) three , e ) four",
"role": "user"
},
{
"content": "$ is b... |
[
{
"content": "a batsman makes a score of 92 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning .\n\nOptions:\na ) 36 , b ) 39 , c ) 42 , d ) 44 , e ) none of the above",
"role": "user"
},
{
"content": "\"let the average after 17 th inning = x . then , ... |
[
{
"content": "a train speeds past a pole in 10 seconds and a platform 100 m long in 30 seconds . its length is ?\n\nOptions:\na ) 188 m , b ) 876 m , c ) 251 m , d ) 50 m , e ) 45 m",
"role": "user"
},
{
"content": "\"let the length of the train be x meters and its speed be y m / sec . they , x / y ... |
[
{
"content": "find the area of circle whose radius is 7 m ?\n\nOptions:\n['a ) 121 sq m', 'b ) 184 sq m', 'c ) 174 sq m', 'd ) 124 sq m', 'e ) 154 sq m']",
"role": "user"
},
{
"content": "the area of circle = pie * r ^ 2 = 22 / 7 * 7 * 7 = 154 sq m answer : e",
"role": "assistant"
}
] |
[
{
"content": "a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio t of r... |
[
{
"content": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 60 percent .\n\nOptions:\na ) 145 , b ) 150 , c ) 175 , d ) 180 , e ) 130",
"role": "user"
},
{
"content": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 60 pe... |
[
{
"content": "what is the value of ( p + q ) / ( p - q ) if p / q is 4 ?\n\nOptions:\na ) 5 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7",
"role": "user"
},
{
"content": "\"( p + q ) / ( p - q ) = [ ( p / q ) + 1 ] / [ ( p / q ) - 1 ] = ( 4 + 1 ) / ( 4 - 1 ) = 5 / 3 = 5 / 3 answer : a\"",
... |
[
{
"content": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 8 hours to fill the tank . the leak can drain all the water of the tank in ?\n\nOptions:\na ) 17 hr , b ) 19 hr , c ) 10 hr , d ) 34 hr , e ) 36 hr",
"role": "user"
},
{
"content": "\"work done by the tank... |
[
{
"content": "what percent is 50 gm of 1 kg ?\n\nOptions:\na ) 0.5 % , b ) 1 % , c ) 1.5 % , d ) 2 % , e ) 5 %",
"role": "user"
},
{
"content": "\"1 kg = 1000 gm 50 / 1000 Γ 100 = 5000 / 1000 = 5 % e )\"",
"role": "assistant"
}
] |
[
{
"content": "machine m , n , o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units . machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units . if all 3 machines are working simultaneously , w... |
[
{
"content": "a regular hexagon is there . the mid points of the sides were joined and formed another hexagon . then what is the percentage reduction in area .\n\nOptions:\na ) 25 % , b ) 35 % , c ) 45 % , d ) 55 % , e ) 65 %",
"role": "user"
},
{
"content": "let abcdef be the regular hexagon with s... |
[
{
"content": "a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 2500 more than d , what is b ' s share ?\n\nOptions:\na ) a ) 8239 , b ) b ) 2900 , c ) c ) 4500 , d ) d ) 2393 , e ) e ) 5000",
"role": "user"
},
{
"content": "\"let the shares ... |
[
{
"content": "two numbers are in the ratio of 1 : 2 . if 9 be added to both , their ratio changes to 3 : 5 . the greater number is\n\nOptions:\na ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36",
"role": "user"
},
{
"content": "\"let the ratio be x : y , given x / y = 1 / 2 , ( x + 9 ) / ( y + 9 ) = 3 / 5 ... |
[
{
"content": "pat , kate and mark charged a total of 180 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate .\n\nOptions:\na ) 18 , b ) 36 , c ) 72 , d ) 90 , e ) 100",
"role": "... |
[
{
"content": "a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error .\n\nOptions:\na ) 64 % , b ) 65 % , c ) 66 % , d ) 67 % , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : let the number be x , then , 5 / 3 β 3 / 5 = 16 / 15 x error % = ( 16 / ... |
[
{
"content": "if the cost price of 50 articles is equal to the selling price of 28 articles , then the gain or loss percent is ?\n\nOptions:\na ) 22 , b ) 65 , c ) 78.57 , d ) 33 , e ) 25",
"role": "user"
},
{
"content": "\"given that , cost price of 50 article is equal to selling price of 28 articl... |
[
{
"content": "two right circular cylinders of equal volumes have their heights in the ratio 1 : 2 . find the ratio of their radii .\n\nOptions:\n['a ) β 3 : 1', 'b ) β 7 : 1', 'c ) β 2 : 1', 'd ) 2 : 1', 'e ) 3 : 1']",
"role": "user"
},
{
"content": "explanation : let their heights be h and 2 h and ... |
[
{
"content": "the area of a parallelogram is 98 sq m and its altitude is twice the corresponding base . then the length of the base is ?\n\nOptions:\na ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5",
"role": "user"
},
{
"content": "\"2 x * x = 98 = > x = 7 answer : c\"",
"role": "assistant"
}
] |
[
{
"content": "in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?\n\nOptions:\na ) 80 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %... |
[
{
"content": "last year a certain bond price with a face value of 5000 yielded 8 % 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 ?\n\nOptions:\na ) 4063 , b ) 5325 , c ) 5351 , d ) 6000 , e ) 6154",
"role": "user"
}... |
[
{
"content": "fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 30 kg of fresh grapes ?\n\nOptions:\na ) 3.75 kg , b ) 2.4 kg , c ) 2.5 kg , d ) 10 kg , e ) none of these",
"role": "user"
},
{
"content": "\"the weigh... |
[
{
"content": "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\n\nOptions:\na ) 665 , b ) 127 , c ) 272 , d ) 287 , e ) 227",
"role": "user"
... |
[
{
"content": "the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is :\n\nOptions:\na ) 101 , b ) 107 , c ) 111 , d ) 112 , e ) 113",
"role": "user"
},
{
"content": "\"let the numbers be 37 a and 37 b . then , 37 a * 37 b = 4107 = > ab = 3 now , co ... |
[
{
"content": "in town x , 64 percent of the population are employed , and 50 percent of the population are employed males . what percent of the employed people in town x are females ?\n\nOptions:\na ) 16 % , b ) 22 % , c ) 32 % , d ) 40 % , e ) 52 %",
"role": "user"
},
{
"content": "\"we are asked t... |
[
{
"content": "in a shop , the profit is 320 % of the cost . if the cost increases by 25 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?\n\nOptions:\na ) 70 % , b ) 50 % , c ) 100 % , d ) 60 % , e ) 55 %",
"role": "user"
},
{
"content": "\... |
[
{
"content": "the average of squares of first 11 consecutive even numbers is :\n\nOptions:\na ) 164 , b ) 174 , c ) 184 , d ) 194 , e ) 204",
"role": "user"
},
{
"content": "2 ( n + 1 ) ( 2 n + 1 ) / 3 ( 2 * 12 * 23 ) / 3 = 2 * 4 * 23 = 184 answer : c",
"role": "assistant"
}
] |
[
{
"content": "a pineapple costs rs 9 each and a watermelon costs rs . 6 each . if i spend rs 51 on total what is the number of pineapple i purchased ?\n\nOptions:\na ) 6 , b ) 7 , c ) 5 , d ) 3 , e ) 2",
"role": "user"
},
{
"content": "\"5 * 9 + 6 = 51 5 pineapples answer : c\"",
"role": "assist... |
[
{
"content": "if the cost price of 10 articles is equal to the selling price of 20 articles , what is the % profit or loss made by the merchant ?\n\nOptions:\na ) 25 % loss , b ) 25 % profit , c ) 20 % loss , d ) 20 % profit , e ) 50 % loss",
"role": "user"
},
{
"content": "\"let the cost price of 1... |
[
{
"content": "two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 9 hours and 16 hours respectively . the ratio of their speeds is :\n\nOptions:\na ) 2 : 3 , b ) 4 : 3 , c ) 6 : 7 , d ) 9 : 16 , e ) none of... |
[
{
"content": "a retailer sells 6 shirts . the first 2 he sells for $ 40 and $ 50 . if the retailer wishes to sell the 6 shirts for an overall average price of over $ 50 , what must be the minimum average price of the remaining 4 shirts ?\n\nOptions:\na ) $ 37.00 , b ) $ 40.00 , c ) $ 45.50 , d ) $ 48.00 , e ) $... |
[
{
"content": "in the rectangular coordinate system , points ( 4 , 0 ) and ( β 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c\n\nOptions:\na ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) none of the above",
"role": "user"
},
{
"content": "\"it takes 3 distinct points to def... |
[
{
"content": "6 women can do 75 unit of work in 8 days by working 5 hr / day in how many days 4 women do 30 units of work by working 8 hr / day\n\nOptions:\na ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "( 6 x 8 x 5 ) / 75 = ( ax 4 x 8 ) / 30 a = 3 answer : a",
"role": "... |
[
{
"content": "set x consists of 10 integers and has median of 30 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ?\n\nOptions:\na ) 32 , b ) 37 , c ) c . 40 , d ) 43 , e ) 50",
"role": "user"
},
{
"content": "note that both median and range do no... |
[
{
"content": "if three painters can complete three rooms in two hours , how many hours 5 painters would it take to do 20 rooms ?\n\nOptions:\na ) 6 , b ) 9 , c ) 7 , d ) 8 , e ) 5",
"role": "user"
},
{
"content": "\"explanation : three painters can complete three rooms in two hours . so 20 rooms can... |
[
{
"content": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 126 from the simple interest account and the compound interest account respectively . if the interest ... |
[
{
"content": "a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 440 sq . feet , how many feet of fencing will be required ?\n\nOptions:\na ) 34 , b ) 40 , c ) 64 , d ) 88 , e ) 92",
"role": "user"
},
{
"content": "\"given that length... |
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