messages listlengths 2 2 |
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[
{
"content": "the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?\n\nOptions:\na ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : t = 3 years r = 10 % td = ( bg ... |
[
{
"content": "average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .\n\nOptions:\na ) 1200 , b ) 120 , c ) 360 ... |
[
{
"content": "sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?\n\nOptions:\na ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281",
"role": "user"
},
{
"content": "let xx be the total number of pages in the book , then she f... |
[
{
"content": "120 is what percent of 50 ?\n\nOptions:\na ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %",
"role": "user"
},
{
"content": "\"50 * x = 120 - - > x = 2.4 - - > 2.4 expressed as percent is 240 % . answer : b .\"",
"role": "assistant"
}
] |
[
{
"content": "there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?\n\nOptions:\na ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5",
"role": "user"
},
{
"content": "if girls is 10 and boys is 20 , then 10 / 20 . so ratio of girls to boys is = 10 / 20 = 1 / 2 ... |
[
{
"content": "an empty fuel tank with a capacity of 218 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?\n... |
[
{
"content": "an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ?\n\nOptions:\na ) 21.4 % , b ) 21.5 % , c ) 21.6 % , d ) 21.7 % , e ) 21.8 %",
"role": "user"
},
{
"content": "\"823 - - - - 177 100 - - - - ? = > 21.5 % answer : b\"",
"role": "assistant"
}
] |
[
{
"content": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?\n\nOptions:\na ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "\"let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time... |
[
{
"content": "j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?\n\nOptions:\na ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2",
"role": "user"
},
{
"content": "\"usually we can solve every question of this type by choosing appropriate value of the variable a... |
[
{
"content": "a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number .\n\nOptions:\na ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100",
"role": "user"
},
{
"content": "\"let the number be x . ( 5 ... |
[
{
"content": "the average weight of 8 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ?\n\nOptions:\na ) 81 kg , b ) 85 kg , c ) 90 kg , d ) 100 kg , e ) 110 kg",
"role": "user"
},
{
"content": "\"total weight... |
[
{
"content": "a train 125 m long passes a man , running at 15 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?\n\nOptions:\na ) 60 , b ) 50 , c ) 28 , d ) 26 , e ) 29",
"role": "user"
},
{
"content": "\"speed of the train relative to man = ( 125... |
[
{
"content": "the average of 15 result is 60 . average of the first 10 of them is 10 and that of the last 10 is 80 . find the 8 th result ?\n\nOptions:\na ) 35 , b ) 200 , c ) 150 , d ) 250 , e ) 300",
"role": "user"
},
{
"content": "\"sum of all the 13 results = 15 * 60 = 900 sum of the first 7 of ... |
[
{
"content": "a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 500 more than that by the previous schema , his sales were worth ?\n\nOptions... |
[
{
"content": "a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?\n\nOptions:\na ) $ 200 , b ) $ 240 , c... |
[
{
"content": "a vessel of capacity 2 litre has 30 % 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 ?\n\nOpti... |
[
{
"content": "the total of 324 of 20 paise and 25 paise make a sum of rs . 70 . the no of 20 paise coins is\n\nOptions:\na ) 238 , b ) 277 , c ) 220 , d ) 200 , e ) 288",
"role": "user"
},
{
"content": "\"explanation : let the number of 20 paise coins be x . then the no of 25 paise coins = ( 324 - x... |
[
{
"content": "in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 18,947 . approximately what was the percent increase ?\n\nOptions:\na ) 45 % , b ) 113 % , c ) 145 % , d ) 150 % , e ) 225 %",
"role": "user"
},
{
"content": "\"the percent increase i... |
[
{
"content": "what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35 ?\n\nOptions:\na ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945",
"role": "user"
},
{
"content": "\"normally , i would use the method used by bunuel . it ' s the most accurate . but if... |
[
{
"content": "arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long , 5 cm wide and 2 cm thick . to cut costs , the company had decided to reduce the volume of the bar by 19 % . the thickness will remain same , but the length and width will be decreased by some percentage . the new width... |
[
{
"content": "kim finds a 5 - 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 ?\n\nOptions:\na ) 8 / 15 , b ) 1 / 2 , c ) 7 / 5 , d ) 3 / 5 , e ) 7 / 5",
... |
[
{
"content": "mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?\n\nOptions:\na ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30",
"role": "user"
},
... |
[
{
"content": "in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ?\n\nOptions:\na ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20",
"role": "user"
},
{
"content": "\"i also was confused when ... |
[
{
"content": "the profit obtained by selling an article for rs . 57 is the same as the loss obtained by selling it for rs . 43 . what is the cost price of the article ?\n\nOptions:\na ) rs . 40 , b ) rs . 50 , c ) rs . 49 , d ) rs . 59 , e ) none of these",
"role": "user"
},
{
"content": "\"s . p 1 ... |
[
{
"content": "in 2008 , the profits of company n were 8 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 ) 150 % , b ) 105 % , c ) 120 % , d ) 124.2 % , e ) 138 %... |
[
{
"content": "a garrison of 2000 men has provisions for 54 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?\n\nOptions:\na ) 1778 , b ) 1682 , c ) 9178 , d ) 1900 , e ) 1782",
"role": "user"
},
... |
[
{
"content": "if a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10 percent , what percent of the original speed is the total increase in speed ?\n\nOptions:\na ) 10 % , b ) 40 % , c ) 43 % , d ) 64 % , e ) 140 %",
"role": "user"
},
{
"content": "let the sped... |
[
{
"content": "what is the greatest number that divides 263 , 935 and 1383 leaving a remainder of 7 in each case ?\n\nOptions:\na ) 30 , b ) 31 , c ) 32 , d ) 35 , e ) 37",
"role": "user"
},
{
"content": "answer the required greatest number is the hcf of 263 - 7 , 935 - 7 , 1383 - 7 i . e . 256 , 928... |
[
{
"content": "how many seconds will a 900 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 ?\n\nOptions:\na ) 48 , b ) 36 , c ) 54 , d ) 11 , e ) 18",
"role": "user"
},
{
"content": "\"explanation : here distance d... |
[
{
"content": "find the average of all the numbers between 6 and 38 which are divisible by 4 .\n\nOptions:\na ) 18 , b ) 22 , c ) 20 , d ) 30 , e ) 28",
"role": "user"
},
{
"content": "\"solution average = ( ( 8 + 12 + 16 + 20 + 24 + 28 + 32 + 36 ) / 8 ) = 186 / 7 = 22 answer b\"",
"role": "assis... |
[
{
"content": "if the cost price is 96 % of sp then what is the profit %\n\nOptions:\na ) 4.07 % , b ) 4 % , c ) 4.7 % , d ) 4.17 % , e ) 4.27 %",
"role": "user"
},
{
"content": "\"sol . sp = rs 100 : then cp = rs 96 : profit = rs 4 . profit = { ( 4 / 96 ) * 100 } % = 4.17 % answer is d .\"",
"ro... |
[
{
"content": "a car gets 27 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 14 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?\n\nOptions:\na ) 120 ... |
[
{
"content": "a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . the number of days for which the remaining food will last , is :\n\nOptions:\na ) 34 , b ) 387 , c ) 42 , d ) 28 , e ) 71",
"role": "user"
},
{
"content": "\"explanation : after 10 days : 150 ... |
[
{
"content": "a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 306 less than the sum lent . what was the sum lent ?\n\nOptions:\na ) 228 , b ) 278 , c ) 289 , d ) 500 , e ) 450",
"role": "user"
},
{
"content": "\"p - 306 = ( p * 4 ... |
[
{
"content": "a man has some hens and cows . if the number of heads be 50 and the number of feet equals 144 , then the number of hens will be\n\nOptions:\na ) 22 , b ) 24 , c ) 26 , d ) 20 , e ) 28",
"role": "user"
},
{
"content": "\"explanation : let number of hens = h and number of cows = c number... |
[
{
"content": "because he ’ 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 3 times as much as mork did , what was their combined tax rate ?\n\nOptions:\na ) 32.5 % , b ) 34 % , c ) 35 % , d ) 36 % , e ) 37.5 %",
"role":... |
[
{
"content": "a watch was sold at a loss of 5 % . if it was sold for rs . 500 more , there would have been a gain of 5 % . what is the cost price ?\n\nOptions:\na ) 1000 , b ) 2998 , c ) 2778 , d ) 2788 , e ) 2991",
"role": "user"
},
{
"content": "\"95 % 105 % - - - - - - - - 10 % - - - - 500 100 % ... |
[
{
"content": "a car travels at a speed of 65 miles per hour . how far will it travel in 6 hours ?\n\nOptions:\na ) 125 miles , b ) 225 miles , c ) 390 miles , d ) 425 miles , e ) 525 miles",
"role": "user"
},
{
"content": "\"during each hour , the car travels 65 miles . for 6 hours it will travel 65... |
[
{
"content": "in a family 13 people eat only vegetarian , 7 people eat only non veg . , 8 people eat both veg and non veg . . how many people eat veg in the family ?\n\nOptions:\na ) 20 , b ) 11 , c ) 9 , d ) 31 , e ) 21",
"role": "user"
},
{
"content": "\"total people eat veg = only veg + both veg ... |
[
{
"content": "if p / q = 4 / 5 , then the value of 11 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ?\n\nOptions:\na ) 3 / 7 , b ) 34 , c ) 1 , d ) 2 , e ) 3",
"role": "user"
},
{
"content": "answer given exp . = 11 / 7 + { ( 2 q - p ) / ( 2 q + p ) } dividing numerator as well as denominator by q , exp = ... |
[
{
"content": "if x ^ 2 + y ^ 2 = 13 and xy = 3 , then ( x − y ) ^ 2 =\n\nOptions:\na ) 7 , b ) 11 , c ) 14 , d ) 17 , e ) 20",
"role": "user"
},
{
"content": "\"but you can not take xy + 3 to mean xy = - 3 . . only if xy + 3 = 0 , it will mean xy = - 3 . . rest your solution is perfect and you will ... |
[
{
"content": "a big container is 40 % full with water . if 14 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ?\n\nOptions:\na ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48",
"role": "user"
},
{
"content": "14 liters is 35 % of the capacit... |
[
{
"content": "the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 8 . what is the ratio of the smaller number to the larger number ?\n\nOptions:\na ) 1 : 8 , b ) 1 : 6 , c ) 1 : 5 , d ) 1 : 4 , e ) 1 : 3",
"role": "user"
},
{
"content": "\"for two numbers , the arithmetic me... |
[
{
"content": "the salaries of a , b , and c are in the ratio of 1 : 2 : 3 . the salary of b and c together is rs . 6000 . by what percent is the salary of c more than that of a ?\n\nOptions:\na ) 209 % , b ) 200 % , c ) 290 % , d ) 600 % , e ) 100 %",
"role": "user"
},
{
"content": "explanation : le... |
[
{
"content": "a man swims downstream 96 km and upstream 40 km taking 8 hours each time ; what is the speed of the current ?\n\nOptions:\na ) 3.5 kmph , b ) 1.5 kmph , c ) 13 kmph , d ) 6.5 kmph , e ) 7 : 3 kmph",
"role": "user"
},
{
"content": "\"explanation : 96 - - - 8 ds = 12 ? - - - - 1 40 - - -... |
[
{
"content": "vinoth can complete a painting work in 20 days . prakash can do the same work in 25 days . they start the work together but vinoth quit after 3 days of work . how many days are required to complete the remaining painting work by prakash .\n\nOptions:\na ) 15.25 days , b ) 16.25 days , c ) 17.25 da... |
[
{
"content": "the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 5 people , the cost per person would have been $ 50 less . what was the total cost cost of the vacation ?\n\nOptions:\na ) $ 200 , b ) $ 375 , c ) $ 400 , d ) $ 500 , e ) $ 60... |
[
{
"content": "how many ounces of a 60 % salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?\n\nOptions:\na ) 16.67 , b ) 30 , c ) 50 , d ) 60.33 , e ) 70",
"role": "user"
},
{
"content": "\"let x = ounces of 60 % salt solution to be add... |
[
{
"content": "if 20 % of a is the same as 30 % of b , then a : b is :\n\nOptions:\na ) 5 : 4 , b ) 5 : 3 , c ) 4 : 3 , d ) 3 : 2 , e ) 1 : 3",
"role": "user"
},
{
"content": "\"expl : 20 % of a i = 30 % of b = 20 a / 100 = 30 b / 100 = 3 / 2 = 3 : 2 answer : d\"",
"role": "assistant"
}
] |
[
{
"content": "d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and bc = 13 cm , then find the length of de .\n\nOptions:\na ) 12 , b ) 13 , c ) 14 , d ) 11 , e ) 15",
"role":... |
[
{
"content": "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 10 x boxes ?\n\... |
[
{
"content": "if y > 0 , ( 1 y ) / 20 + ( 3 y ) / 10 is what percent of y ?\n\nOptions:\na ) 35 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %",
"role": "user"
},
{
"content": "\"can be reduced to y / 20 + 3 y / 10 = 7 y / 20 = 35 % a\"",
"role": "assistant"
}
] |
[
{
"content": "how many of the positive factors of 25 , 15 and how many common factors are there in numbers ?\n\nOptions:\na ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5",
"role": "user"
},
{
"content": "\"factors of 25 - 1 , 5 , and 25 factors of 15 - 1 , 3 , 5 and 15 comparing both , we have three common fa... |
[
{
"content": "a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 5 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent grea... |
[
{
"content": "of the 17,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ?\n\nOptions:\na ) 14.3 % , b ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %",
"role": "user"
},
{
"cont... |
[
{
"content": "an electric pump can fill a tank in 10 hours . because of a leak in the tank , it took 20 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?\n\nOptions:\na ) 10 hours , b ) 12 hours , c ) 20 hours , d ) 5 hours , e ) 15 hours",
"role": "user"
},
{... |
[
{
"content": "for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 36 ) ?\n\nOptions:\na ) 2 , b ) 5 , c ) 11 , d ) 17 , e ) 23",
"role": "user"
},
{
... |
[
{
"content": "pipe a can fill a tank in 10 hours . due to a leak at the bottom , it takes 15 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?\n\nOptions:\na ) 76 , b ) 84 , c ) 56 , d ) 75 , e ) 30",
"role": "user"
},
{
"content": "let the leak can empty ... |
[
{
"content": "5 women can do a work in two days . 10 men can complete the same work in five days . what is the ratio between the capacity of a man and a woman ?\n\nOptions:\na ) 1 : 2 , b ) 1 : 5 , c ) 2 : 3 , d ) 3 : 2 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : ( 5 ã — 2 ... |
[
{
"content": "what is the positive difference between the sum of the squares of the first 8 positive integers and the sum of the prime numbers between the first square and fourth square ?\n\nOptions:\na ) 161 , b ) 162 , c ) 163 , d ) 164 , e ) 165",
"role": "user"
},
{
"content": "\"forget conventi... |
[
{
"content": "the average age of 19 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ?\n\nOptions:\na ) 9 , b ) 71 , c ) 85 , d ) 92 , e ) 90",
"role": "user"
},
{
"content": "\"age ... |
[
{
"content": "a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ 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 ... |
[
{
"content": "the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45 , then how long is the base of isosceles triangle ?\n\nOptions:\na ) 5 units , b ) 10 units , c ) 15 units , d ) 20 units , e ) 25 units",
"role... |
[
{
"content": "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... |
[
{
"content": "calculate the ratio between x and y if 25 % of x equal to 40 % of y ?\n\nOptions:\na ) 5 : 8 , b ) 5 : 9 , c ) 5 : 7 , d ) 5 : 6 , e ) 5 : 4",
"role": "user"
},
{
"content": "\"explanation : 25 x = 40 y x : y = 25 : 40 = 5 : 8 answer : a\"",
"role": "assistant"
}
] |
[
{
"content": ". 003 / ? = . 01\n\nOptions:\na ) . 3 , b ) . 09 , c ) . 009 , d ) . 0009 , e ) none of them",
"role": "user"
},
{
"content": "\"let . 003 / x = . 01 ; then x = . 003 / . 01 = . 3 / 1 = . 3 answer is a\"",
"role": "assistant"
}
] |
[
{
"content": "if √ 10 = 3.16 , find the value of if √ 5 / 2\n\nOptions:\na ) 1.3 , b ) 1.58 , c ) 2.03 , d ) 2.15 , e ) 3.15",
"role": "user"
},
{
"content": "explanation : √ ( 5 / 2 ) = √ ( 5 × 2 / 2 × 2 ) = √ ( 10 ) / 2 = 3.16 / 2 = 1.58 answer : b",
"role": "assistant"
}
] |
[
{
"content": "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 . 7420 , what is the length of the plot in metres ?\n\nOptions:\na ) 20 , b ) 200 , c ) 300 , d ) 400 , e ) 80",
"role": "user"
},
{
"content": "\"let leng... |
[
{
"content": "30 men can do a work in 40 days . when should 12 men leave the work so that the entire work is completed in 40 days after they leave the work ?\n\nOptions:\na ) 18 days , b ) 10 days , c ) 55 days , d ) 44 days , e ) 22 days",
"role": "user"
},
{
"content": "\"total work to be done = 3... |
[
{
"content": "carrie likes to buy t - shirts at the local clothing store . they cost $ 9.65 each . one day , she bought 12 t - shirts . how much money did she spend ?\n\nOptions:\na ) $ 115.8 , b ) $ 248.75 , c ) $ 200 , d ) $ 171.6 , e ) $ 190",
"role": "user"
},
{
"content": "$ 9.65 * 12 = $ 115.8... |
[
{
"content": "a train 110 m long is running with a speed of 30 km / h . in how many seconds will the train pass a man who is running at 3 km / h in the direction opposite to that in which the train is going ?\n\nOptions:\na ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14",
"role": "user"
},
{
"content": "\"t... |
[
{
"content": "kanul spent $ 3000 in buying raw materials , $ 1000 in buying machinery and 30 % of the total amount he had as cash with him . what was the total amount ?\n\nOptions:\na ) $ 5825.16 , b ) $ 5725.26 , c ) $ 5714.28 , d ) $ 5912.52 , e ) $ 5614.46",
"role": "user"
},
{
"content": "\"let ... |
[
{
"content": "a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 204 , what is the fewest number of $ 3 frisbees that could have been sold ?\n\nOptions:\na ) 24 , b ) 12 , c ) 8 , d ) 52 , e ) 2",
"role": "user... |
[
{
"content": "two trains 110 meters and 200 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 ?\n\nOptions:\na ) 4.85 , b ) 7.69 , c ) 6.85 , d ) 5.... |
[
{
"content": "how many 1 / 10 s are there in 37 1 / 2 ?\n\nOptions:\na ) 375 , b ) 475 , c ) 500 , d ) 670 , e ) 700",
"role": "user"
},
{
"content": "\"required number = ( 75 / 2 ) / ( 1 / 10 ) = ( 75 / 2 x 10 / 1 ) = 375 . answer : a\"",
"role": "assistant"
}
] |
[
{
"content": "a circle graph shows how the megatech corporation allocates its research and development budget : 12 % 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... |
[
{
"content": "how much interest will $ 10,000 earn in 3 months at an annual rate of 6 % ?\n\nOptions:\na ) $ 250 , b ) $ 150 , c ) $ 450 , d ) $ 550 , e ) $ 650",
"role": "user"
},
{
"content": "\"soln : - 6 months = 1 / 4 of year ; 6 % = 6 / 100 = 3 / 50 ; $ 10,000 ( principal ) * 3 / 50 ( interest... |
[
{
"content": "how many different values of positive integer x , for which | x + 9 | < x , are there ?\n\nOptions:\na ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16",
"role": "user"
},
{
"content": "\"answer c i opted to put the random value option . i used 0 , 9 , - 9 and the the extreme of 10 and - 10 . . i ... |
[
{
"content": "if the average of 10 consecutive integers is 21.5 then the 10 th integer is : -\n\nOptions:\na ) 15 , b ) 20 , c ) 23 , d ) 26 , e ) 25",
"role": "user"
},
{
"content": "\"the average falls between the 5 th and 6 th integers , integer 5 = 21 , integer 6 = 22 . counting up to the tenth ... |
[
{
"content": "in a box of 8 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 ?\n\nOptions:\na ) 2 / 10 , b ) 3 / 11 , c ) 4 / 13 , d ) 5 / 14 , e ) 6 / 17",
"role": "user"
},
{
"content": "\"p (... |
[
{
"content": "in filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be ?\n\nOptions:\n['a ) 100 cu . m', 'b ) 1000 cu . m', 'c ) 10000 cu . m', 'd ) 100000 cu . m', 'e ) 10000000 cu . m']",
"role": "user"
},
{
"content": "100 * 10 * 10 = 10000 answer : c",
"role": "assistant"
... |
[
{
"content": "a train passes a station platform in 30 sec and a man standing on the platform in 12 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?\n\nOptions:\na ) 227 , b ) 240 , c ) 200 , d ) 178 , e ) 270",
"role": "user"
},
{
"content": "\"speed = 54 * 5 / 18... |
[
{
"content": "a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ?\n\nOptions:\n['a ) 8', 'b ) 8 π', 'c ) 9 √ 3', 'd ) 10', 'e ) 12']",
"role": "user"
},
{
"content": "property of a right triangle inscribed in a circle is th... |
[
{
"content": "what is 15 percent of 64 ?\n\nOptions:\na ) 7.2 , b ) 8.4 , c ) 9.6 , d ) 10.4 , e ) 11.8",
"role": "user"
},
{
"content": "\"( 15 / 100 ) * 64 = 9.6 the answer is c .\"",
"role": "assistant"
}
] |
[
{
"content": "each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 55 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are requ... |
[
{
"content": "for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 181 ?\n\nOptions:\na ) 3820 , b ) 5740 , c ) 6580 , d ) 7360 , e ) 9200",
"role": "user"
},
{
"content": "\"100 + 102 + . . . + 180 = 1... |
[
{
"content": "a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 800 more than that by the previous schema , his sales were worth ?\n\nOptions... |
[
{
"content": "if k is an integer and 0.0010101 x 10 ^ k is greater than 10 , what is the least possible value of k ?\n\nOptions:\na ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6",
"role": "user"
},
{
"content": "\"0.0010101 * 10 ^ k > 10 we need to move the decimal point to the right 4 places to get 10.101 th... |
[
{
"content": "if a and b are positive integers and ( 3 ^ a ) ^ b = 3 ^ 3 , what is the value of 3 ^ a * 3 ^ b ?\n\nOptions:\na ) 3 , b ) 9 , c ) 81 , d ) 27 , e ) 243",
"role": "user"
},
{
"content": "3 ^ ab = 3 ^ 3 therefore ab = 3 either a = 1 or 3 or b = 3 or 1 therefore 3 ^ a * 3 ^ b = 3 ^ ( a +... |
[
{
"content": "a gardener is going to plant 2 red rosebushes and 2 white rosebushes . if the gardener is to select each of the bushes at random , one at a time , and plant them in a row , what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes ?\n\nOptions:\na ) 1 / 12 ,... |
[
{
"content": "a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 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 differe... |
[
{
"content": "what will be the lcm of 8 , 24 , 36 and 54\n\nOptions:\na ) 54 , b ) 108 , c ) 216 , d ) 432 , e ) none of these",
"role": "user"
},
{
"content": "explanation : lcm of 8 - 24 - 36 - 54 will be 2 * 2 * 2 * 3 * 3 * 3 = 216 answer : option c",
"role": "assistant"
}
] |
[
{
"content": "a number exceeds by 35 from its 3 / 8 part . then the number is ?\n\nOptions:\na ) a ) 56 , b ) b ) 35 , c ) c ) 39 , d ) d ) 40 , e ) e ) 45",
"role": "user"
},
{
"content": "\"x – 3 / 8 x = 35 x = 56 answer : a\"",
"role": "assistant"
}
] |
[
{
"content": "if 0.75 : x : : 5 : 6 , then x is equal to :\n\nOptions:\na ) 1.12 , b ) 1.16 , c ) 1.2 , d ) 0.9 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : ( x * 5 ) = ( 0.75 * 6 ) x = 4.5 / 5 = 0.9 answer : d\"",
"role": "assistant"
}
] |
[
{
"content": "two trains of equal lengths take 10 sec and 14 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?\n\nOptions:\na ) 10 , b ) 12 , c ) 13 , d ) 11.7 , e ) 15",
"role": "user"
},
{
"cont... |
[
{
"content": "four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is :\n\nOptions:\n['a ) 24 cm 2', 'b ) 42 cm 2', 'c ) 154 cm 2', 'd ) 196 cm 2', 'e ) non... |
[
{
"content": "in the coordinate plane , line a has a slope of - 1 and an x - intercept of 1 . line b has a slope of 4 and a y - intercept of - 4 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ?\n\nOptions:\na ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4",
"role": "user"
},
{
"con... |
[
{
"content": "if the annual increase in the population of a town is 10 % and the present number of people is 10000 , what will the population be in 2 years ?\n\nOptions:\na ) 12100 , b ) 15240 , c ) 12456 , d ) 11452 , e ) 10002",
"role": "user"
},
{
"content": "\"the required population is = 10000 ... |
[
{
"content": "the sum of two consecutive integers is 41 . find the numbers .\n\nOptions:\na ) 17 , 18 , b ) 7 , 8 , c ) 5 , 6 , d ) 20,21 , e ) 8 , 9",
"role": "user"
},
{
"content": "\"n + ( n + 1 ) = 41 2 n + 1 = 41 2 n = 40 n = 20 answer : d\"",
"role": "assistant"
}
] |
[
{
"content": "calculate the circumference of a circular field whose radius is 10 centimeters .\n\nOptions:\na ) 20 π cm , b ) 19 π cm , c ) 28 π cm , d ) 25 π cm , e ) 30 π cm",
"role": "user"
},
{
"content": "\"circumference c is given by c = 2 π r = 2 π * 10 = 20 π cm answer : a\"",
"role": "a... |
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