Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: there are 3 vessels of equal capacity . vessel a contains milk and water in the ratio 4 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2 . if the mixture in all the 3 vessels is mixed up . what will be the ratio of water to milk ? 
Options: a ) 9 : 6 , b ) 3 : 2 , c ) 118 : 126 , d ) 122 : 193 , e ) 201 : 132
Answer: d
Input: Problem: when a student joe , weighing 44 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ? 
Options: a ) 5.5 kg , b ) 11 kg , c ) 30 kg , d ) 36.5 kg , e ) 7 kg
Answer: e
Input: Problem: the proportion of water to alcohol in solution a is 4 : 1 and the proportion of water to alcohol in solution b is 2 : 3 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ? 
Options: a ) 39 % , b ) 40 % , c ) 41 % , d ) 42 % , e ) 43 %
Answer: b
Input: Problem: if sharon ' s weekly salary increased by 20 percent , she would earn $ 600 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ? 
Options: a ) rs . 575 , b ) rs . 600 , c ) rs . 625 , d ) rs . 485 , e ) rs . 590
Answer: a
Input: Problem: the average price of an decoration piece increases over the years . if from 1990 to 1996 , the price of the decoration piece increased by 13 % and from 1996 to 2001 it increased by 20 % , what is the price of the decoration piece in 2001 if the price in 1990 was $ 11500 ? 
Options: a ) $ 15594 . , b ) $ 15322 . , c ) $ 14786 . , d ) $ 14543 . , e ) $ 12988 .
Answer: a
Input: Problem: what is the next number : 2 , 17 , 257 , __ 
Options: a ) 2977 , b ) 3837 , c ) 4097 , d ) 4847 , e ) 5387
Answer: c
Input: Problem: the positive numbers w , x , y , and z are such that x is 30 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 ? 
Options: a ) 15.2 % , b ) 16.0 % , c ) 20.0 % , d ) 23.2 % , e ) 24.8 %
Answer: c
Input: Problem: if 2 x + y = 26 and x + 2 y = 10 , then ( x + y ) / 3 = 
Options: a ) 1 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4
Answer: e
Input: Problem: set a contains all the even numbers between 42 and 90 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? 
Options: a ) 300 , b ) 350 , c ) 400 , d ) 450 , e ) 500
Answer: e
Input: Problem: the sum of ages of 5 children born at the intervals of 2 years each is 55 years . what is the age of the youngest child ? 
Options: a ) 4 , b ) 7 , c ) 6 , d ) 9 , e ) 8
Answer: b
Input: Problem: a straight line in the xy - plane has y - intercept of 49 . on this line the x - coordinate of the point is 71 and y - coordinate is 12 then what is the slope of the line ? 
Options: a ) 0.5 , b ) 0.51 , c ) - 0.52 , d ) 0.31 , e ) - 0.49
Answer: c
Input: Problem: a sum of money is sufficient to pay a ' s wages for 21 days and b ' s wages for 28 days . the same money is sufficient to pay the wages of both for ? 
Options: a ) 12 days , b ) 12 1 / 4 days , c ) 14 days , d ) 24 1 / 2 days , e ) none of these
Answer: a
Input: Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 3 ø 1 ) ø 1 = ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32
Answer: c
Input: Problem: 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 ? 
Options: a ) 240 , b ) 300 , c ) 200 , d ) 400 , e ) 480
Answer: c
Input: Problem: a certain kind of fuel is 1515 high octane and 4545 regular octane . if high octane costs 3 times as much as regular octane , what fraction of the cost of the fuel is due to the high octane ? 
Options: a ) 1 / 5 , b ) 2 / 3 , c ) 3 / 7 , d ) 3 / 5 , e ) 4 / 5
Answer: c
Input: Problem: divide rs . 720 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) s . 800 , b ) s . 400 , c ) s . 600 , d ) s . 180 , e ) s . 900
Answer: d
Input: Problem: 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 ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 100 , e ) 120
Answer: b
Input: Problem: a man â € ™ s current age is ( 2 / 5 ) of the age of his father . after 10 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ? 
Options: a ) 40 , b ) 45 , c ) 38 , d ) 50 , e ) 39
Answer: d
Input: Problem: the number 189 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 15 , c ) 20 , d ) 27 , e ) 39
Answer: c
Input: Problem: if 0.75 : x : : 5 : 12 , then x is equal to : 
Options: a ) 1.12 , b ) 1.16 , c ) 1.8 , d ) 1.3 , e ) none of these
Answer: c
Input: Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 64,000 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 : 
Options: a ) 0.20833 , b ) 0.14544 , c ) 0.21978 , d ) 0.35466 , e ) 0.63435
Answer: c
Input: Problem: excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 20 km / hr . for how many minutes does the bus stop per hour ? 
Options: a ) 22 , b ) 88 , c ) 77 , d ) 40 , e ) 99
Answer: d
Input: Problem: if 5 ^ 21 x 8 ^ 7 = 10 ^ n what is the value of n ? 
Options: a ) 26 , b ) 24 , c ) 21 , d ) 28 , e ) 20
Answer: c
Input: Problem: the tax on a commodity is diminished by 20 % but its consumption is increased by 5 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 12 % , b ) 14 % , c ) 16 % , d ) 20 % , e ) 22 %
Answer: c
Input: Problem: 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 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: a
Input: Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 6 years ? 
Options: a ) 3277 , b ) 2977 , c ) 7119 , d ) 6077 , e ) 17112
Answer: c
Input: Problem: a survey of n people in the town of eros found that 50 % of them preferred brand a . another surveyof 100 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ? 
Options: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250
Answer: d
Input: Problem: 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 ? 
Options: a ) 44 , b ) 47 , c ) 48 , d ) 49 , e ) 50
Answer: a
Input: Problem: x and y are both integers . if x / y = 59.80 , then what is the sum of all the possible two digit remainders of x / y ? 
Options: a ) 560 , b ) 616 , c ) 672 , d ) 200 , e ) 1024
Answer: d
Input: Problem: a jar of 180 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ? 
Options: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24
Answer: b
Input: Problem: if , 1 * 3 * 5 = 16 3 * 5 * 7 = 38 5 * 7 * 9 = 68 then find , 7 * 9 * 11 = ? 
Options: a ) 106 , b ) 49 , c ) 68 , d ) 38 , e ) 55
Answer: a
Input: Problem: of the 150 people at a party , 70 were women , and 30 women tried the appetizer . if 60 people did not try the appetizer , what is the total number of men who tried the appetizer ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Answer: c
Input: Problem: 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 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Answer: b
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 50 per component . shipping costs for delivering the components are $ 8 per unit . further , the manufacturer has costs of $ 16,000 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 200 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) 135 , b ) 129 , c ) 131 , d ) 138 , e ) 141
Answer: d
Input: Problem: find the average of first 20 multiples of 7 ? 
Options: a ) 73.5 , b ) 70.5 , c ) 63.5 , d ) 54.5 , e ) 40.5
Answer: a
Input: Problem: how many integers from 0 to 44 , inclusive , have a remainder of 1 when divided by 3 ? 
Options: a ) 13 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: a
Input: Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers q are there between 6 * + 2 and 6 * + 6 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: 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 36 / 49 , what is the probability that the next one she draws will be pink ? 
Options: a ) 1 / 7 , b ) 4 / 7 , c ) 3 / 7 , d ) 16 / 49 , e ) 40 / 49
Answer: a
Input: Problem: a batch of cookies was divided amomg 3 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 5 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin 
Options: a ) 21 / 31 , b ) 9 / 4 , c ) 5 / 9 , d ) 7 / 5 , e ) 9 / 7
Answer: a
Input: Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? 
Options: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 300,000 , e ) $ 2 , 200,000
Answer: d
Input: Problem: the average age of 21 students of a class is 21 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 21 th student is 
Options: a ) 164 , b ) 152 , c ) 100 , d ) 182 , e ) 195
Answer: a
Input: Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 3 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? 
Options: a ) 2 / 3 , b ) 5 / 6 , c ) 7 / 12 , d ) 11 / 12 , e ) 17 / 24
Answer: c
Input: Problem: hillary and eddy are climbing to the summit of mt . everest from a base camp 4,900 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ? 
Options: a ) 10.0 , b ) 11.0 , c ) 13.0 , d ) 12.0 , e ) 14.0
Answer: d
Input: Problem: 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 glass on the second day ? 
Options: a ) $ 0.15 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45
Answer: d
Input: Problem: what is the least possible value of x ^ 2 - 15 where x is a positive number . 
Options: a ) - 15 , b ) - 14 , c ) - 13 , d ) - 12 , e ) - 11
Answer: b
Input: Problem: when a number is divided by 6 & then multiply by 12 the answer is 15 what is the no . ? 
Options: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 7.5 , e ) 6.5
Answer: d
Input: Problem: ( 112 x 5 ^ 4 ) = ? 
Options: a ) 70000 , b ) 80000 , c ) 90000 , d ) 90090 , e ) 100000
Answer: a
Input: Problem: the number of the members of a club is more than 50 and less than 80 . when 5 people sit at a table , other people exactly divided to 8 - people groups ( 8 people sit at a table ) or 7 - people groups ( 7 people sit at a table ) . if the members are divided to 9 - people groups , how many people will be left ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: d
Input: Problem: a “ palindromic integer ” 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 500,000 ? 
Options: a ) 160 , b ) 200 , c ) 240 , d ) 300 , e ) 480
Answer: b
Input: Problem: the average ( arithmetic mean ) of 4 positive integers is 30 . if the average of 2 of these integers is 15 , what is the greatest possible value that one of the other 2 integers can have ? 
Options: a ) 55 , b ) 89 , c ) 100 , d ) 109 , e ) 115
Answer: b
Input: Problem: a grocer has a sale of rs . 3435 , rs . 3927 , rs . 3855 , rs . 4230 and rs . 3562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 3500 ? 
Options: a ) s . 1991 , b ) s . 2991 , c ) s . 3991 , d ) s . 4991 , e ) s . 5991
Answer: a
Input: Problem: a student is ranked 12 th from right and 6 th from left . how many students are there in totality ? 
Options: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Answer: b
Input: Problem: mixture contains alcohol and water in the ratio 4 : 3 . if 7 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture . 
Options: a ) 10 , b ) 99 , c ) 5 , d ) 22 , e ) 29
Answer: c
Input: Problem: n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 45 and 6 is a digit of either n or m . what is the smallest possible positive difference between n and m ? 
Options: a ) 59 , b ) 49 , c ) 58 , d ) 113 , e ) 131
Answer: b
Input: Problem: how many positive integers less than 1000 are multiples of 5 but not of 4 or 7 ? 
Options: a ) 114 , b ) 121 , c ) 122 , d ) 129 , e ) 136
Answer: c
Input: Problem: the lowest number which should be added to 11390 so that the sum is exactly divisible by 7 , 9 , 10 and 12 is : 
Options: a ) 1010 , b ) 2210 , c ) 1250 , d ) 1210 , e ) 1110
Answer: d
Input: Problem: 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 1 / 5 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ? 
Options: a ) 5 / 27 , b ) 2 / 9 , c ) 1 / 2 , d ) 4 / 9 , e ) 2 / 3
Answer: c
Input: Problem: the population of a city increases by 8 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? 
Options: a ) 9 % , b ) 9.27 % , c ) 22.50 % , d ) 12 % , e ) none of these
Answer: c
Input: Problem: if p ( a ) = 6 / 17 , p ( b ) = 5 / 17 , and p ( a ∪ b ) = 4 / 17 find p ( b | a ) ? 
Options: a ) 2 / 3 , b ) 3 / 5 , c ) 2 / 7 , d ) 3 / 7 , e ) 4 / 9
Answer: a
Input: Problem: in a company of 16 employees , 8 employees earn $ 38,000 , 4 employees earn $ 42,000 , and the 4 highest - paid employees earn the same amount . if the average annual salary for the 16 employees is $ 44,000 , what is the annual salary for each of the highest - paid employees ? 
Options: a ) $ 54,000 , b ) $ 55,000 , c ) $ 56,000 , d ) $ 57,000 , e ) $ 58,000
Answer: e
Input: Problem: 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 
Options: a ) 22 , b ) 18 , c ) 99 , d ) 77 , e ) 24
Answer: b
Input: Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 36 , what is the maximum value of y for which f ( x , y ) = 0 ? 
Options: a ) 9 , b ) 12 , c ) 18 , d ) 20 , e ) 30
Answer: e
Input: Problem: if 10 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 1.00 , then the maximum possible amount any one person could have contributed is 
Options: a ) $ 11.00 , b ) $ 1.25 , c ) $ 5.00 , d ) $ 6.00 , e ) $ 20.00
Answer: a
Input: Problem: the average earning of amechanic for the first 4 days of a week is rs . 25 and for the last 4 days is rs . 22 . if heearns rs . 20 on the fourth day , his average earning forthe whole week is ? 
Options: a ) s . 10 , b ) s . 24 , c ) s . 30 , d ) s . 40 , e ) s . 50
Answer: b
Input: Problem: a batsman makes a score of 83 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? 
Options: a ) 19 , b ) 29 , c ) 35 , d ) 49 , e ) 59
Answer: c
Input: Problem: product of two natural numbers is 3 . then , the sum of reciprocals of their squares is 
Options: a ) 10 / 9 , b ) 1 / 289 , c ) 290 / 90 , d ) 290 / 19 , e ) none of these
Answer: a
Input: Problem: if 7125 ¸ 1.25 = 5700 < the value of 712.5 ÷ 12.5 is : 
Options: a ) 5.7 , b ) 57 , c ) 570 , d ) 0.57 , e ) 0.057
Answer: b
Input: Problem: a grocer has a sale of rs . 435 , rs . 927 , rs . 855 , rs . 230 and rs . 562 for 5 consecutive days . how much sale must he have in the sixth day so that he gets an average sale of rs . 625 ? 
Options: a ) rs 741 , b ) rs 5991 , c ) rs 6001 , d ) rs 6991 , e ) none of these
Answer: a
Input: Problem: in a 3 digit number , the 100 digit is 2 more than the tens digit and the units digit is 2 less than the tens digit . if the sum of the digits is 27 , find the number ? 
Options: a ) 867 , b ) 1179 , c ) 1196 , d ) 1098 , e ) 1197
Answer: e
Input: Problem: the difference between the local value and the face value of 7 in the numeral 32675149 is 
Options: a ) 69990 , b ) 69993 , c ) 70000 , d ) 77000 , e ) 78000
Answer: b
Input: Problem: three numbers are in the ratio 4 : 5 : 6 and their average is 30 . the largest number is : 
Options: a ) 33 , b ) 77 , c ) 36 , d ) 18 , e ) 16
Answer: c
Input: Problem: the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ? 
Options: a ) 45 , b ) 65 , c ) 75 , d ) 89 , e ) 90
Answer: c
Input: Problem: if equation | x / 2 | + | y / 2 | = 1 encloses a certain region on the coordinate plane , what is the area of this region ? 
Options: a ) 8 , b ) 50 , c ) 100 , d ) 200 , e ) 400
Answer: a
Input: Problem: the no 2.52 , when written as a fraction and reduced to lowest terms , the sum of the numeratr n denominator is : 
Options: a ) 7 , b ) 141 , c ) 29 , d ) 349 , e ) 359
Answer: d
Input: Problem: 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 38 , what is the remainder when k is divided by 7 ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 6
Answer: c
Input: Problem: what is the dividend ? the divisor is 800 , the quotient is 594 , and the remainder is - 968 . 
Options: a ) 6623 , b ) 43036 , c ) 51515 , d ) 474232 , e ) 2025
Answer: d
Input: Problem: if x , y , and z are positive integers , and 3 x = 5 y = 6 z , then the least possible value of x + y + z is 
Options: a ) 21 , b ) 28 , c ) 37 , d ) 42 , e ) 60
Answer: a
Input: Problem: 35 liters of a mixture is created by mixing liquid p and liquid q in the ratio 4 : 3 . how many liters of liquid q must be added to make the ratio 5 : 7 ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: d
Input: Problem: if | 5 x - 5 | = 150 , what is the sum of all the possible values of x ? 
Options: a ) 2 , b ) - 2 , c ) 6 , d ) - 3 , e ) 5
Answer: a
Input: Problem: what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 83 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: b
Input: Problem: if n is a positive integer and n ^ 2 is divisible by 212 , then the largest positive integer that must divide n is 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 36 , e ) 48
Answer: d
Input: Problem: tara bought 19 cartons of ice cream and 4 cartons of yoghurt . each carton of ice cream cost $ 7 and each carton of yoghurt cost $ 1 . how much more did tara spend on ice cream than on yoghurt ? 
Options: a ) $ 144 , b ) $ 130 , c ) $ 80 , d ) $ 110 , e ) $ 129
Answer: e
Input: Problem: sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 10 more than 1 / 4 of the fine and peter paid $ 10 less than 1 / 3 of the fine , leaving pay $ 25 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ? 
Options: a ) $ 120 , b ) $ 125 , c ) $ 130 , d ) $ 135 , e ) $ 140
Answer: b
Input: Problem: what is the smallest of 6 consecutive odd integers whose average ( arithmetic mean ) is b + 2 ? 
Options: a ) b - 3 , b ) b - 6 , c ) b - 1 , d ) b , e ) b + 1
Answer: a
Input: Problem: jar y has 10 % more marbles than jar x . what percent of marbles from jar y need to be moved into x so that both jars have equal marbles 
Options: a ) 4.54 % , b ) 9.09 % , c ) 10 % , d ) 11 % , e ) 12.25 %
Answer: a
Input: Problem: a tightrope approximately 320 m long is suspended between two poles . during a performance , a break occurs in the line . assume that the line has an equal chance of breaking anywhere along its length . what is the probability that the break happened in the first 50 meters of the rope ? 
Options: a ) 27 / 32 , b ) 1 / 2 , c ) 5 / 32 , d ) 5 / 27 , e ) . 2 / 3
Answer: c
Input: Problem: robert ' s salary was decreased by 20 % and subsequently increased by 20 % . how much percentage does he lose ? 
Options: a ) 4 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 50 %
Answer: a
Input: Problem: the price of lunch for 15 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? 
Options: a ) 11.73 , b ) 12 , c ) 13.8 , d ) 14 , e ) 15.87
Answer: b
Input: Problem: in a room with 7 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 16 / 21
Answer: e
Input: Problem: when n is divided by 15 , the remainder is 8 . what is the remainder when 5 n is divided by 6 ? 
Options: a ) 2 , b ) 6 , c ) 3 , d ) 4 , e ) 1
Answer: d
Input: Problem: 69 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,075 bacteria each . how many bacteria are there approximately ? 
Options: a ) 10 ^ 7 , b ) 10 ^ 8 , c ) 10 ^ 9 , d ) 10 ^ 10 , e ) 10 ^ 11
Answer: a
Input: Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 15000 left with him . find salary . . 
Options: a ) $ 150000 , b ) $ 18000 , c ) $ 180000 , d ) $ 1800 , e ) none
Answer: a
Input: Problem: how much is 60 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 4 , b ) 6 , c ) 10 , d ) 8 , e ) 13
Answer: a
Input: Problem: if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } is used exactly once , in how many ways can the digits be arranged ? 
Options: a ) 356,580 , b ) 358,680 , c ) 360,780 , d ) 362,880 , e ) 364,980
Answer: d
Input: Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18 , then n = 
Options: a ) 3 , b ) 6 , c ) 17 , d ) 23 , e ) 24
Answer: c
Input: Problem: albert father was 48 years of age when she was born while her mother was 46 years old when her brother 2 years younger to her was born . what is the difference between the ages of her parents ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: b
Input: Problem: in a group of cows and hens , the number of legs are 10 more than twice the number of heads . the number of cows is : 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 10 , e ) 12
Answer: a
Input: Problem: a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 2 of the mixture is water , and the remaining 8 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? 
Options: a ) 30 , b ) 36 , c ) 42 , d ) 46 , e ) 48
Answer: e
Input: Problem: 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 ? 
Options: a ) 1 / 3 , b ) 5 / 1 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2
Answer: b
Input: Problem: the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 1000 . what is the manager ' s monthly salary ? 
Options: a ) rs . 16003 , b ) rs . 16029 , c ) rs . 22500 , d ) rs . 16108 , e ) rs . 16011
Answer: c
Input: Problem: the average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is 
Options: a ) 22 , b ) 30 , c ) 25 , d ) 38 , e ) 27
Answer: c
Input: Problem: a man distributed rs . 100 equally among his friends . if there had been 5 more friends , each would have received one rupee less . how many friends had he ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40
Answer: b
Input: Problem: 4 barrels of water have an average capacity of 8 gallons . what is the maximum possible capacity of the smallest barrel e if the median is 10 gallons ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: when w is divided by 13 , the reminder is 0 . if w is 3 more than it value and when divided by 11 its remainder is 0 . what is the value of w ? 
Options: a ) 13 , b ) 52 , c ) 39 , d ) 26 , e ) 35
Answer: b
Input: Problem: 5 + 8 
Options: a ) 8 , b ) 13 , c ) 28 , d ) 6 , e ) 2
Answer: b
Input: Problem: what is the sum of the local values of the digits 2 , 3 , 4 , 5 in the number 2345 ? 
Options: a ) 2345 , b ) 4500 , c ) 5000 , d ) 6000 , e ) 7000
Answer: a
Input: Problem: the average of 50 numbers id 56 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is : 
Options: a ) 22.35 , b ) 33.25 , c ) 22.25 , d ) 51.35 , e ) 56.25
Answer: e
Input: Problem: roy is now 8 years older than julia and half of that amount older than kelly . if in 4 years , roy will be twice as old as julia , then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ? 
Options: a ) 172 , b ) 180 , c ) 192 , d ) 200 , e ) 216
Answer: c
Input: Problem: robert ate 13 chocolates , nickel ate 4 chocolates . how many more chocolates did robert ate than nickel ? 
Options: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2
Answer: c
Input: Problem: dacid obtained 91 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? 
Options: a ) 29 , b ) 78 , c ) 39 , d ) 37 , e ) 75
Answer: b
Input: Problem: the milk level in a rectangular box measuring 58 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 ) 
Options: a ) 100 , b ) 250 , c ) 750 , d ) 5437.5 , e ) 5635.5
Answer: d
Input: Problem: 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 c ? 
Options: a ) 386 , b ) 378 , c ) 396 , d ) 395 , e ) 394
Answer: b
Input: Problem: a certain number when divided by 39 leaves a remainder 16 , what is the remainder when the same number is divided by 13 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 3
Answer: e
Input: Problem: a certain list consists of 21 different numbers . if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? 
Options: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 4 / 21 , e ) 5 / 21
Answer: c
Input: Problem: if 183 is divisible by 11 , find the value of the smallest natural no . n ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 10 , e ) 12
Answer: b
Input: Problem: a certain bus driver is paid a regular rate of $ 18 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 $ 976 in total compensation , how many total hours did he work that week ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52
Answer: d
Input: Problem: when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 83.2 , what is the value of n ? 
Options: a ) 9 , b ) 20 , c ) 55 , d ) 70 , e ) 81
Answer: e
Input: Problem: a number divided by 24 leaves remainder 56 what is the remainder when same number divided by 7 
Options: a ) 9 , b ) 7 , c ) 5 , d ) 3 , e ) 1
Answer: d
Input: Problem: a big container is 30 % full with water . if 9 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ? 
Options: a ) 20 liters , b ) 40 liters , c ) 45 liters , d ) 54 liters , e ) 60 liters
Answer: a
Input: Problem: a group of 6 children and 10 adults are going to the zoo . child tickets cost $ 10 , and adult tickets cost $ 16 . how much will the zoo tickets cost in all ? 
Options: a ) $ 220 , b ) $ 340 , c ) $ 150 , d ) $ 100 , e ) $ 120
Answer: a
Input: Problem: find the remainder when 6 ^ 23 is divided by 5 ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4
Answer: c
Input: Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 33 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? 
Options: a ) a . 72 , b ) b . 50 , c ) c . 48 , d ) d . 69 , e ) e . 44
Answer: d
Input: Problem: find the sum of first 35 odd numbers 
Options: a ) 4900 , b ) 3000 , c ) 1250 , d ) 1200 , e ) 1225
Answer: e
Input: Problem: in how many ways can the integer 800 be expressed as a product of two different positive integers ? 
Options: a ) 10 , b ) 7 , c ) 5 , d ) 4 , e ) 2
Answer: b
Input: Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 50 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? 
Options: a ) 40 , b ) 80 , c ) 50 , d ) 60 , e ) 50
Answer: c
Input: Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1792 ? 
Options: a ) 1600 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771
Answer: a
Input: Problem: if [ [ x ] ] = x ^ 2 + 2 x + 4 , what is the value of [ [ 7 ] ] ? 
Options: a ) 3 , b ) 9 , c ) 15 , d ) 67 , e ) 25
Answer: d
Input: Problem: the difference between a number and its two - fifth is 510 . what is 30 % of that number ? 
Options: a ) 158 , b ) 200 , c ) 255 , d ) 400 , e ) 280
Answer: c
Input: Problem: if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 12 / 15 find p ( b | a ) 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 2 , d ) 4 / 5 , e ) 6
Answer: e
Input: Problem: 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 
Options: a ) rs . 500 , b ) rs . 600 , c ) rs . 650 , d ) rs . 760 , e ) rs . 800
Answer: b
Input: Problem: if x is 20 percent greater than 80 , then x = 
Options: a ) 68 , b ) 70.4 , c ) 96 , d ) 105.6 , e ) 108
Answer: c
Input: Problem: a two digit number is 18 less than the square of the sum of its digits . how many such numbers are there ? 
Options: a ) 2233 , b ) 2222 , c ) 2211 , d ) 6382 , e ) 23,17
Answer: d
Input: Problem: a man saves 30 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 30 % , he is only able to save rs . 300 per month . what is his monthly salary ? 
Options: a ) rs . 4000 , b ) rs . 3750 , c ) rs . 5000 , d ) rs . 5500 , e ) rs . 6500
Answer: b
Input: Problem: 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 ? 
Options: a ) 15 % , b ) 20 % , c ) 22.5 % , d ) 25 % , e ) 30 %
Answer: e
Input: Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 2 = f ( 3 x – 6 ) 
Options: a ) 0 , b ) 4 , c ) 5 , d ) 7 , e ) 13
Answer: c
Input: Problem: entry fee in an examination was re . 1 . later , this was reduced by 25 % which increased the sale by 20 % . the percentage increase in the number of visitors is 
Options: a ) 60 , b ) 50 , c ) 66 , d ) 54 , e ) none
Answer: a
Input: Problem: if the remainder is 10 when positive integer n is divided by 14 , what is the remainder when n is divided by 7 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: d
Input: Problem: the average marks obtained by 100 candidates in an examination is 50 . find how many candidates have passed in the examination , if the average marks of candidates who passed is 70 and that of failed candidates is 20 . 
Options: a ) 33 , b ) 77 , c ) 60 , d ) 29 , e ) 11
Answer: c
Input: Problem: 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 ? 
Options: a ) 228 , b ) 287 , c ) 277 , d ) 188 , e ) 300
Answer: e
Input: Problem: find the average of all prime numbers between 10 and 40 
Options: a ) 15.6 , b ) 22.5 , c ) 18.6 , d ) 32.2 , e ) 26.9
Answer: b
Input: Problem: 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 ? 
Options: a ) 1.5 , b ) 3.0 , c ) 3.9 , d ) 4.0 , e ) 6.0
Answer: d
Input: Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 70 , how many questions did student a answer correctly ? 
Options: a ) 55 , b ) 90 , c ) 73 , d ) 82 , e ) 91
Answer: b
Input: Problem: at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint ? 
Options: a ) 9 , b ) 12 , c ) 15 , d ) 16 , e ) 18
Answer: d
Input: Problem: 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 ? 
Options: a ) 280 , b ) 400 , c ) 540 , d ) 625 , e ) 840
Answer: d
Input: Problem: in the formula a = ( 2 r ) ^ 3 , if r is halved , then a is multiplied by ? 
Options: a ) 64 , b ) 1 / 8 , c ) 1 , d ) 8 , e ) 1 / 64
Answer: b
Input: Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 70 , how many coins of each type are there ? 
Options: a ) 20 coins , b ) 30 coins , c ) 40 coins , d ) 25 coins , e ) none of these
Answer: c
Input: Problem: for any integer k > 1 , the term “ length of an integer ” refers to the number of positive prime factors , not necessarily distinct , whose product is equal to k . for example , if k = 24 , the length of k is equal to 4 , since 24 = 2 × 2 × 2 × 3 . if x and y are positive integers such that x > 1 , y > 1 , and x + 3 y < 920 , what is the maximum possible sum of the length of x and the length of y ? 
Options: a ) 14 , b ) 12 , c ) 10 , d ) 16 , e ) 18
Answer: d
Input: Problem: in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 140 ? 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32
Answer: e
Input: Problem: how many positive integers less than 50 have a reminder 01 when divided by 5 ? 
Options: a ) 10 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Answer: a
Input: Problem: if 40 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ? 
Options: a ) 50.5 % , b ) 44.4 % , c ) 22.2 % , d ) 33.3 % , e ) 25 %
Answer: d
Input: Problem: the sum of the numbers is 220 . if the first number be twice the second and third number be one - third of the first , then the second number is : 
Options: a ) 48 , b ) 54 , c ) 72 , d ) 60 , e ) 27
Answer: d
Input: Problem: the cost to park a car in a certain parking garage is $ 10.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? 
Options: a ) $ 1.09 , b ) $ 1.67 , c ) $ 2.225 , d ) $ 2.47 , e ) $ 2.50
Answer: d
Input: Problem: 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 ? 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11
Answer: b
Input: Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55 . what is half of that number ? 
Options: a ) 310 , b ) 312 , c ) 320 , d ) 314 , e ) 360
Answer: e
Input: Problem: if x is an integer such that 0 < x < 12 , 1 < x < 15 , 10 > x > 5 , 11 > x > 8 , and x + 2 < 12 , then x is 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11
Answer: d
Input: Problem: peter has $ 642986 in his savings account . what is the least amount of money ( in whole number of dollars ) that he must add to his account if he wants to split this money evenly among his 9 children ? 
Options: a ) $ 642986 , b ) $ 642987 , c ) $ 642988 , d ) $ 642989 , e ) $ 642990
Answer: b
Input: Problem: the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 11000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is 
Options: a ) rs . 7000 , b ) rs . 8000 , c ) rs . 8500 , d ) rs . 9000 , e ) none
Answer: b
Input: Problem: if z is a multiple of 7899 , what is the remainder when z ^ 2 is divided by 9 ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 6 , e ) 7
Answer: a
Input: Problem: find the value of ( 55 + 113 / 78 ) × 78 
Options: a ) 4423 , b ) 4403 , c ) 4413 , d ) 2403 , e ) 4375
Answer: b
Input: Problem: a vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? 
Options: a ) 40 , b ) 42 , c ) 44 , d ) 46 , e ) 48
Answer: b
Input: Problem: the ages of 2 persons differ by 18 years . if 12 years ago the elder one be 6 times as old as the younger one , find the present age of elder person . 
Options: a ) 33.6 , b ) 47 , c ) 50.4 , d ) 52.4 , e ) 47.9
Answer: a
Input: Problem: a total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates . find the respective number of boys and girls ? 
Options: a ) 32 , b ) 60 , c ) 27 , d ) 29 , e ) 21
Answer: b
Input: Problem: a number is increased by 20 % and then decreased by 20 % , the final value of the number is ? 
Options: a ) does not change , b ) decreases by 2 % , c ) increases by 4 % , d ) decreases by 4 % , e ) none of these
Answer: d
Input: Problem: what is the least number . which should be added to 0.0355 to make it a perfect square ? 
Options: a ) 0.0005 , b ) 0.0016 , c ) 0.0056 , d ) 0.0066 , e ) 0.0006
Answer: e
Input: Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 10 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? 
Options: a ) 40 , b ) 80 , c ) 70 , d ) 60 , e ) 90
Answer: e
Input: Problem: in a simultaneous throw of a pair of dice , find the probability of getting a total more than 10 
Options: a ) 5 / 13 , b ) 2 / 15 , c ) 1 / 12 , d ) 3 / 17 , e ) 6 / 19
Answer: c
Input: Problem: what is the units digit of the expression 14 ^ 7 − 15 ^ 4 ? 
Options: a ) 0 , b ) 8 , c ) 4 , d ) 6 , e ) 3
Answer: b
Input: Problem: the overall age of x and y is 19 year greater than the overall age of y and z . z is how many decades younger that x ? 
Options: a ) 11 , b ) 15 , c ) 12 , d ) 19 , e ) 20
Answer: d
Input: Problem: 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 ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 36 , e ) 32
Answer: d
Input: Problem: evaluate : 55 - 12 * 3 * 2 = ? 
Options: a ) 47 , b ) 52 , c ) 32 , d ) 12 , e ) 22
Answer: a
Input: Problem: what least no . must be subtracted from 50248 so that remaining no . is divisible by 20 ? 
Options: a ) 3 , b ) 2 , c ) 4 , d ) 8 , e ) 6
Answer: d
Input: Problem: the sum of all two digit numbers divisible by 5 is 
Options: a ) 945 , b ) 3487 , c ) 28 , d ) 279 , e ) 1287
Answer: a
Input: Problem: a sum of money lent out at s . i . amounts to a total of $ 520 after 2 years and to $ 820 after a further period of 5 years . what was the initial sum of money that was invested ? 
Options: a ) $ 340 , b ) $ 360 , c ) $ 380 , d ) $ 400 , e ) $ 420
Answer: d
Input: Problem: 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 ? 
Options: a ) 23 years , b ) 20 years , c ) 25 years , d ) 22 years , e ) 28 years
Answer: a
Input: Problem: one half of a two digit number exceeds its one fourth by 3 . what is the sum of the digits of the number ? 
Options: a ) 3 , b ) 9 , c ) 11 , d ) 12 , e ) 15
Answer: a
Input: Problem: there are 7 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ? 
Options: a ) 15 , b ) 16 , c ) 28 , d ) 42 , e ) 64
Answer: d
Input: Problem: 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 17 km / hr respectively . they will meet for the first time in ? 
Options: a ) 50 min , b ) 40 min , c ) 35 min , d ) 37 min , e ) 20 min
Answer: d
Input: Problem: if the price of a certain computer increased 30 percent from d dollars to 364 dollars , then 2 d = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 560
Answer: e
Input: Problem: the ratio of expenditure and savings is 3 : 2 . if the income increases by 15 % and the savings increases by 6 % , then by how much percent should his expenditure increases ? 
Options: a ) 22 , b ) 21 , c ) 88 , d ) 76 , e ) 29
Answer: b
Input: Problem: a palindrome is a number that reads the same forward and backward , such as 242 . how many even 9 - digit numbers are palindromes ? 
Options: a ) 40 , b ) 40000 , c ) 500 , d ) 5,000 , e ) 100,000
Answer: b
Input: Problem: 12.1212 + 17.0005 - 9.1103 = ? 
Options: a ) 20.0015 , b ) 20.0105 , c ) 20.0115 , d ) 20.0114 , e ) none
Answer: d
Input: Problem: two employees x and y are paid a total of rs . 572 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? 
Options: a ) s . 250 , b ) s . 280 , c ) s . 290 , d ) s . 260 , e ) s . 300
Answer: d
Input: Problem: 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 ? 
Options: a ) 5 , b ) 9 , c ) 10 , d ) 13 , e ) 17
Answer: b
Input: Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 15 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? 
Options: a ) 12 % , b ) 26 % , c ) 23 % , d ) 30 % , e ) 60 %
Answer: c
Input: Problem: a man saves 10 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 10 % , he is only able to save rs . 200 per month . what is his monthly salary ? 
Options: a ) rs . 22,000 , b ) rs . 21,000 , c ) rs . 20,000 , d ) rs . 23,000 , e ) rs . 24,000
Answer: c
Input: Problem: if the function q is defined by the formula q = 5 w / ( 4 m ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , m is doubled , and z is tripled ? 
Options: a ) 1 / 9 , b ) 2 / 9 , c ) 4 / 9 , d ) 3 / 9 , e ) 2 / 27
Answer: b
Input: Problem: 2.505 / 10.02 = 
Options: a ) 0.35 , b ) 0.3505 , c ) 0.25 , d ) 0.351 , e ) 0.3527
Answer: c
Input: Problem: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 4 cups of tea . last week mo drank a total of 42 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ? 
Options: a ) 0 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 2 : 3 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ? 
Options: a ) 7 : 8 , b ) 9 : 2 , c ) 1 : 2 , d ) 5 : 4 , e ) 3 : 2
Answer: d
Input: Problem: what is the value of n if the sum of the consecutive odd intergers e from 1 to n equals 169 ? 
Options: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29
Answer: b