Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: what is the remainder when the number w = 14 ^ 2 * 15 ^ 8 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 5
Answer: a
Input: Problem: the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 and that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidates who passed the examination is ? 
Options: a ) 80 , b ) 90 , c ) 100 , d ) 120 , e ) 130
Answer: c
Input: Problem: the average of runs of a cricket player of 10 innings was 18 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? 
Options: a ) 87 , b ) 16 , c ) 62 , d ) 76 , e ) 17
Answer: c
Input: Problem: ( 18 ) 7 x ( 5832 ) - 2 ÷ ( 324 ) - 1 = ( 18 ) 7 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Answer: c
Input: Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 ? 
Options: a ) 32 , b ) 20 , c ) 28 , d ) 11 , e ) 18
Answer: b
Input: Problem: 8 friends met for lunch at an expensive restaurant , and everyone decided to contribute equally to the total bill of $ 290 . if one of the friends had a coupon for 29 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ? 
Options: a ) $ 90 , b ) $ 70 , c ) $ 45 , d ) $ 37 , e ) $ 25
Answer: e
Input: Problem: if x + y = 20 , x - y = 36 , for integers of x and y , x = ? 
Options: a ) 20 , b ) 25 , c ) 28 , d ) 20 , e ) 42
Answer: c
Input: Problem: in a class of 40 students , 5 students did not borrow any books from the library , 15 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ? 
Options: a ) 3 , b ) 5 , c ) 8 , d ) 13 , e ) 18
Answer: e
Input: Problem: what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ? 
Options: a ) 17 / 36 , b ) 36 / 17 , c ) 7 / 6 , d ) 27 / 20 , e ) 51 / 44
Answer: d
Input: Problem: what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 21 ? 
Options: a ) 5037 , b ) 5447 , c ) 5867 , d ) 6297 , e ) 6617
Answer: d
Input: Problem: for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score r for the exam ? 
Options: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82
Answer: a
Input: Problem: ( ( ( 13 ! ) ^ 16 ) - ( ( 13 ! ) ^ 8 ) ) / ( ( ( 13 ! ) ^ 8 ) + ( ( 13 ! ) ^ 4 ) ) = a then what is the units digit for a / ( ( 13 ! ) ^ 4 ) = 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 5
Answer: c
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 21 . the corrected new mean is : 
Options: a ) 36.54 , b ) 36.58 , c ) 36.23 , d ) 36.14 , e ) 36.81
Answer: a
Input: Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 580 ? 
Options: a ) rs . 500 , b ) rs . 5100 , c ) rs . 530 , d ) rs . 540 , e ) none of these
Answer: a
Input: Problem: village x has a population of 70000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 14 , b ) 19 , c ) 11 , d ) 18 , e ) 13
Answer: a
Input: Problem: on the number line , if x is halfway between - 8 and 4 , and if y is halfway between - 2 and 6 , what number is halfway between x and y ? 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2
Answer: c
Input: Problem: the total marks obtained by a student in mathematics and physics is 60 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together . 
Options: a ) 40 , b ) 30 , c ) 25 , d ) data inadequate , e ) none of these .
Answer: a
Input: Problem: in a group of cows and hens , the number of legs are 16 more than twice the number of heads . the number of cows is : 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 12
Answer: d
Input: Problem: two employees m and n are paid a total of $ 616 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ? 
Options: a ) $ 270 , b ) $ 280 , c ) $ 290 , d ) $ 300 , e ) $ 310
Answer: b
Input: Problem: a certain country had a total annual expenditure of $ 4.8 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? 
Options: a ) $ 500 , b ) $ 1,000 , c ) $ 2,000 , d ) $ 3,000 , e ) $ 5,000
Answer: c
Input: Problem: . on dividing a number by 357 , we get 36 as remainder . on dividing the same number 17 , what will be the remainder ? 
Options: a ) 0 , b ) 3 , c ) 5 , d ) 8 , e ) 2
Answer: e
Input: Problem: find large number from below question the difference of two numbers is 2500 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 3345 , b ) 1250 , c ) 1540 , d ) 2997 , e ) 1635
Answer: d
Input: Problem: a vessel of capacity 3 litre has 25 % of alcohol and another vessel of capacity 5 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 ? 
Options: a ) 31 % . , b ) 71 % . , c ) 27.5 % . , d ) 29 % . , e ) 51 % .
Answer: c
Input: Problem: marcella has 24 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? 
Options: a ) 21 , b ) 20 , c ) 19 , d ) 16 , e ) 15
Answer: c
Input: Problem: if n is a positive integer and n ^ 2 is divisible by 50 , then what is the largest positive integer that must divide n ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 20 , e ) 25
Answer: c
Input: Problem: 75 % of x is greater than 1 / 3 rd of x by 110 . what is x ? 
Options: a ) 160 , b ) 264 , c ) 360 , d ) 354 , e ) 400
Answer: b
Input: Problem: the proportion of copper and zinc in the brass is 13 : 7 . how much zinc will there be in 100 kg of brass ? 
Options: a ) 37 kg , b ) 35 kg , c ) 85 kg , d ) 45 kg , e ) 25 kg
Answer: b
Input: Problem: the sum of the squares of three numbers is 138 , while the sum of their products take two at a time is 131 . find the sum ? 
Options: a ) 10 , b ) 30 , c ) 20 , d ) 50 , e ) 40
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 . 1680 ? 
Options: a ) 1500 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771
Answer: a
Input: Problem: you need to pick any number from ' 1 , 3 , 5 , 7 , 9 , 11 , 13 and 15 ' to make below equation true . ( ) + ( ) + ( ) = 30 can you solve it ? 
Options: a ) 29 , b ) 30 , c ) 31 , d ) 32 , e ) 33
Answer: b
Input: Problem: the average of 6 no . ' s is 5.40 . the average of 2 of them is 5.2 , while the average of the other 2 is 5.80 . what is the average of the remaining 2 no ' s ? 
Options: a ) 5.2 , b ) 2.6 , c ) 3.6 , d ) 4.5 , e ) 4.6
Answer: a
Input: Problem: set j consists of 10 consecutive even numbers . if the smallest term in the set is - 4 , what is the range of the positive integers in set j ? 
Options: a ) 8 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: b
Input: Problem: a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? 
Options: a ) 75 , b ) 70 , c ) 65 , d ) 85 , e ) 90
Answer: b
Input: Problem: a man is 36 years older than his son . in three years , his age will be thrice the age of his son . the present age of this son is 
Options: a ) 28 years , b ) 22 years , c ) 18 years , d ) 16 years , e ) 15 years
Answer: e
Input: Problem: 8 is 6 % of a , and 6 is 8 % of b . c equals b / a . what is the value of c ? 
Options: a ) 3 / 8 , b ) 8 / 15 , c ) 9 / 16 , d ) 12 / 25 , e ) 16 / 27
Answer: c
Input: Problem: a man whose bowling average is 12.4 , takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? 
Options: a ) 82 , b ) 83 , c ) 84 , d ) 85 , e ) 86
Answer: d
Input: Problem: if y > 0 , ( 4 y ) / 20 + ( 3 y ) / 10 is what percent of y ? 
Options: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %
Answer: b
Input: Problem: 5 kilograms of oranges contained 95 % of water . if the next day the concentration of water decreased by 5 % , what was the new weight of the oranges , in kilograms ? 
Options: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5
Answer: b
Input: Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 48 and elvin ' s total telephone bill for february was 90 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? 
Options: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 6 , e ) $ 28
Answer: d
Input: Problem: tough and tricky questions : exponents . if 5 ^ ( x + 1 ) * 4 ^ ( y - 1 ) = 25 ^ x * 64 ^ y , then x + y = 
Options: a ) 3 / 2 , b ) - 1 / 2 , c ) - 1 , d ) 1 / 2 , e ) 2 / 3
Answer: d
Input: Problem: at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 28 liters of forest green to change it to verdant green ? 
Options: a ) 28 / 3 , b ) 13 / 6 , c ) 3 , d ) 4 , e ) 14 / 3
Answer: a
Input: Problem: evaluate 2 + 22 + 222 + 2.22 
Options: a ) 269.72 , b ) 268.22 , c ) 248.21 , d ) 248.22 , e ) 268.21
Answer: d
Input: Problem: if 6 < x < 10 < y < 17 , then what is the greatest possible positive integer difference of x and y ? 
Options: a ) 3 , b ) 4 , c ) 10 , d ) 6 , e ) 7
Answer: c
Input: Problem: the output of a factory is increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output is increased by 10 % . by approximately what percent would the output of the factory now have to be decreased in order to restore the original output ? 
Options: a ) 17 % , b ) 24 % , c ) 30 % , d ) 32 % , e ) 79 %
Answer: a
Input: Problem: a man purchased 4 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? 
Options: a ) a ) 300 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500
Answer: b
Input: Problem: 52 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is : 
Options: a ) 30.33 , b ) 34.44 , c ) 26.1 , d ) 28.0 , e ) 21.0
Answer: a
Input: Problem: the average salary of workers in an industry is rs . 200 the average salary of technicians being rs . 400 and that of non - technicians being rs . 125 . what is the total number of workers ? 
Options: a ) 277 , b ) 665 , c ) 662 , d ) 552 , e ) 281
Answer: b
Input: Problem: amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is 
Options: a ) rs . 4250 , b ) rs . 4228 , c ) rs . 4128 , d ) rs . 4988 , e ) rs . 4192
Answer: a
Input: Problem: the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ? 
Options: a ) $ 280,000 , b ) $ 320,000 , c ) $ 360,000 , d ) $ 450,000 , e ) $ 540,000
Answer: b
Input: Problem: if 100 < x < 199 and 9 < y < 100 , then the product xy can not be equal to : 
Options: a ) 19,104 , b ) 19,303 , c ) 19 , 956.732 , d ) 19,502 , e ) 19,809
Answer: c
Input: Problem: product of two natural numbers is 11 . then , the sum of reciprocals of their squares is 
Options: a ) 290 / 289 , b ) 122 / 121 , c ) 290 / 90 , d ) 290 / 19 , e ) none of these
Answer: b
Input: Problem: a line that passes through ( – 2 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ? 
Options: a ) 3 / 4 , b ) 1 , c ) 4 / 3 , d ) 2 , e ) 7 / 2
Answer: b
Input: Problem: in track last week , the boys ran 34 laps . the girls ran 20 more laps . each lap is a 1 / 6 th of a mile . how many miles did the girls run ? 
Options: a ) 9 miles , b ) 10 miles , c ) 11 miles , d ) 12 miles , e ) 13 miles
Answer: a
Input: Problem: if ( a - b - c + d = 12 ) and ( a + b - c - d = 6 ) , what is the value of ( b - d ) ^ 2 ? 
Options: a ) 4 . , b ) 9 . , c ) 12 . , d ) 16 . , e ) 64 .
Answer: b
Input: Problem: 20.20 / 2000 is equal to : 
Options: a ) 1.01252677 , b ) 0.013466667 , c ) 0.125266677 , d ) 0.126256677 , e ) 0.12725776
Answer: b
Input: Problem: if 213 × 16 = 3408 , then 16 × 21.3 is equal to : 
Options: a ) 0.3408 , b ) 3.408 , c ) 34.08 , d ) 340.8 , e ) none of these
Answer: d
Input: Problem: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? 
Options: a ) 11 . , b ) 12 , c ) 13 , d ) 14 , e ) 14.5
Answer: b
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 13 km / hr respectively . they will meet for the first time in ? 
Options: a ) 50 min , b ) 33 min , c ) 35 min , d ) 25 min , e ) 20 min
Answer: b
Input: Problem: in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 200 bricks in the wall , how many bricks does the bottom row contain ? 
Options: a ) 42 , b ) 35 , c ) 40 , d ) 33 , e ) 38
Answer: e
Input: Problem: in how many ways can the integer 48 be expressed as a product of two different positive integers ? 
Options: a ) 10 , b ) 8 , c ) 5 , d ) 4 , e ) 2
Answer: c
Input: Problem: a car was driving at 50 km / h for 30 minutes , and then at 40 km / h for another 30 minutes . what was its average speed ? 
Options: a ) 80 . , b ) 75 . , c ) 70 . , d ) 65 . , e ) 54 .
Answer: a
Input: Problem: two employees x and y are paid a total of rs . 650 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? 
Options: a ) s . 200.45 , b ) s . 250.45 , c ) s . 295.45 , d ) s . 300.45 , e ) s . 310.45
Answer: c
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 110 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 ) 550 , e ) 840
Answer: d
Input: Problem: in the set of positive integers from 1 to 60 , what is the sum of all the odd multiples of 5 ? 
Options: a ) 180 , b ) 185 , c ) 190 , d ) 160 , e ) 165
Answer: a
Input: Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 70 . find the average marks of all the students ? 
Options: a ) 52.5 , b ) 52.9 , c ) 52.1 , d ) 58.75 , e ) 42.5
Answer: d
Input: Problem: a = { 2 , 3 , 5 , 7 , 11 } b = { 2 , 4 , 6 , 19 } two integers will be randomly selected from sets a and b , one integer from set a and one from set b , and then multiplied together . how many different products can be obtained ? 
Options: a ) 15 , b ) 16 , c ) 19 , d ) 24 , e ) 36
Answer: d
Input: Problem: in 1985 a company sold a brand of shoes to retailers for a fixed price per pair . in 1986 the number of pairs of the shoes that the company sold to retailers decreased by 20 percent , while the price per pair increased by 20 percent . if the company ’ s revenue from the sale of the shoes in 1986 was $ 3.0 million , what was the approximate revenue from the sale of the shoes in 1985 ? 
Options: a ) $ 2.4 million , b ) $ 2.9 million , c ) $ 3.0 million , d ) $ 3.1 million , e ) $ 3.6 million
Answer: d
Input: Problem: if x is 11 percent greater than 70 , then x = 
Options: a ) 77.7 , b ) 91.0 , c ) 88.0 , d ) 70.9 , e ) 71.2
Answer: a
Input: Problem: a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 140 . find the unknown rate of two blankets ? 
Options: a ) 350 , b ) 550 , c ) 490 , d ) 450 , e ) 457
Answer: a
Input: Problem: what is the smallest positive integer x such that 280 - x is the cube of a positive integer 
Options: a ) 5 , b ) 64 , c ) 62 , d ) 60 , e ) 12
Answer: b
Input: Problem: what is the sum of the numbers between 1 and 14 , inclusive ? 
Options: a ) 105 , b ) 110 , c ) 125 , d ) 150 , e ) 160
Answer: a
Input: Problem: in a group of 120 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? 
Options: a ) 60 / 120 , b ) 15 / 120 , c ) 30 / 120 , d ) 80 / 120 , e ) 40 / 120
Answer: c
Input: Problem: there are 9 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? 
Options: a ) 10 , b ) 30 , c ) 36 , d ) 60 , e ) 90
Answer: c
Input: Problem: a ( 5 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 2 . what is the value of w ? 
Options: a ) 3 . , b ) 4 . , c ) 5 . , d ) 6 . , e ) 9
Answer: a
Input: Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 7 ? 
Options: a ) 397 , b ) 401 , c ) 403 , d ) 405 , e ) 364
Answer: e
Input: Problem: a couple decides to have 4 children . if they succeed in having 4 children and each child is equally likely to be a boy or a girl , what is the probability that they will have exactly 3 girls and 1 boy ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 1 / 2
Answer: e
Input: Problem: how much water must be added to 52 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? 
Options: a ) 10 litres , b ) 13 litres , c ) 15 litres , d ) 18 litres , e ) none of these
Answer: b
Input: Problem: in a competitive examination in a state a , 10 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 12 % candidates got selected with 100 more candidates got selected than a . what was the number of candidates appeared from each state ? 
Options: a ) 4000 , b ) 5000 , c ) 5500 , d ) 6500 , e ) 4200
Answer: b
Input: Problem: how many positive integers less than 5,000 are evenly divisible by neither 15 nor 23 ? 
Options: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349
Answer: c
Input: Problem: s is a set of 64 consecutive multiples of 4 . if the smallest number in s is 68 , then the greatest number in s is 
Options: a ) 198 , b ) 297 , c ) 320 , d ) 402 , e ) 405
Answer: c
Input: Problem: in an examination , 32 % of total students failed in hindi , 56 % failed in english and 12 % in both . the percentage of these who passed in both the subjects is : 
Options: a ) 24 , b ) 37 , c ) 28 , d ) 40 , e ) 81
Answer: a
Input: Problem: in a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it , what is the max number of boxes that fit into it ? 
Options: a ) 23 , b ) 32 , c ) 44 , d ) 15 , e ) 64
Answer: e
Input: Problem: if a : b = 3 : 4 , b : c = 7 : 9 , c : d = 5 : 7 , find a : d ? 
Options: a ) 5 / 12 , b ) 5 / 15 , c ) 5 / 10 , d ) 5 / 11 , e ) 5 / 13
Answer: a
Input: Problem: a ’ s speed is 25 / 18 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? 
Options: a ) 1 / 18 , b ) 7 / 18 , c ) 7 / 25 , d ) 3 / 25 , e ) 1 / 25
Answer: c
Input: Problem: the sum of the ages of 4 children born at the intervals of 3 years each is 36 years . what is the age of the youngest child ? 
Options: a ) 22 , b ) 18 , c ) 4.5 , d ) 99 , e ) 38
Answer: c
Input: Problem: in a coconut grove , ( x + 2 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: a man is 25 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is 
Options: a ) 21 , b ) 22 , c ) 20 , d ) 18 , e ) 23
Answer: e
Input: Problem: if a ( a + 6 ) = 7 and b ( b + 6 ) = 7 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 6 , c ) 2 , d ) 46 , e ) 48
Answer: b
Input: Problem: find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 0.81 ) / ( √ 0.49 ) is 
Options: a ) 195 / 63 , b ) 2.5 , c ) 155 / 63 , d ) 125 / 63 , e ) 185 / 63
Answer: b
Input: Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 50 more than the correct answer . find the number . 
Options: a ) 96 , b ) 280 , c ) 384 , d ) 400 , e ) 500
Answer: a
Input: Problem: the sum of ages of 5 children born 2 years different each is 40 years . what is the age of the elder child ? 
Options: a ) 12 , b ) 9 , c ) 10 , d ) 16 , e ) 17
Answer: a
Input: Problem: how many 3 digit positive integers r exist that when divided by 7 leave a remainder of 5 ? 
Options: a ) 128 , b ) 142 , c ) 143 , d ) 141 , e ) 129
Answer: e
Input: Problem: a ship 77 km from the shore , springs a leak which admits to 9 / 4 tonnes of water in 11 / 2 minutes . 92 tonnes of water would sink it . but the pumps can throw out 12 tonnes of water per hour . find the average rate of sailing so that the ship may just reach the shore as it begins to sink . 
Options: a ) 10.5 , b ) 11 , c ) 12 , d ) 13 , e ) 15
Answer: a
Input: Problem: what is the average ( arithmetic mean ) of the numbers 100 , 150 , 200 , 200 , 250 , and 300 ? 
Options: a ) 100 , b ) 150 , c ) 140 , d ) 200 , e ) 250
Answer: d
Input: Problem: if a + b = − 9 , and a = 30 / b , what is the value of a ^ 2 + b ^ 2 ? 
Options: a ) 31 , b ) 21 , c ) 41 , d ) 61 , e ) 51
Answer: b
Input: Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 11.0 million and $ 14.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ? 
Options: a ) 3 % , b ) 16 2 / 3 % , c ) 25 % , d ) 4 1 / 3 % , e ) 60 %
Answer: d
Input: Problem: if - 2 and - 3 are negative integers , then - 2 * - 3 + 2 is 
Options: a ) - 5 , b ) 8 , c ) - 6 , d ) - 3 , e ) - 8
Answer: b
Input: Problem: if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ? 
Options: a ) 5 / 3 , b ) 5 / 4 , c ) 10 / 3 , d ) 15 / 4 , e ) 15 / 2
Answer: d
Input: Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on convenience he has rs . 1400 left with him , find his expenditure on food and conveyance . 
Options: a ) 1000 , b ) 3000 , c ) 4000 , d ) 2000 , e ) 5000
Answer: a
Input: Problem: i chose a number and divide it by 6 . then i subtracted 189 from the result and got 3 . what was the number i chose ? 
Options: a ) 1200 , b ) 1152 , c ) 1189 , d ) 1190 , e ) 100
Answer: b
Input: Problem: if a tap could fill entire tank in 18 hrs due to leakage , then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage ? 
Options: a ) 35 hrs , b ) 36 hrs , c ) 37 hrs , d ) 38 hrs , e ) 39 hrs
Answer: b
Input: Problem: what is the remainder when 54487 ^ ( 42787035 ) is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: d
Input: Problem: a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day . in the next 3 days , the company will invest in 30 more green buses that use 30 % less fuel . how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ? 
Options: a ) 3060 , b ) 1 , 512 , c ) 1800 , d ) 1260 , e ) 3,312
Answer: e
Input: Problem: a millionaire bought a job lot of hats 1 / 4 of which were brown . the millionaire sold 2 / 3 of the hats including 4 / 5 of the brown hats . what fraction of the unsold hats were brown . 
Options: a ) 1 / 60 , b ) 1 / 15 , c ) 3 / 20 , d ) 3 / 5 , e ) 3 / 4
Answer: c
Input: Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ? 
Options: a ) 2003 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007
Answer: d
Input: Problem: how many x ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen ? 
Options: a ) 3 , b ) 16 , c ) 28 , d ) 32 , e ) 56
Answer: d
Input: Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 37 . in the company , what is the maximum number of non - managers in a department that has 9 managers ? 
Options: a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48
Answer: d
Input: Problem: a house wife saved $ 4 in buying an item on sale . if she spent $ 29 for the item , approximately how much percent she saved in the transaction ? 
Options: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 12 %
Answer: e
Input: Problem: a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 170 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ? 
Options: a ) 30 , b ) 33 , c ) 55 , d ) 77 , e ) 88
Answer: a
Input: Problem: the avearge score of a cricketer for 10 matches is 38.9 runs . if the average for the first 6 matches is 41 . then find the average for the last 4 matches ? 
Options: a ) 33.25 , b ) 35.75 , c ) 34.25 , d ) 35 , e ) none
Answer: b
Input: Problem: what is the value of ( 44444445 * 88888885 * 44444442 + 44444438 ) / 44444444 ^ 2 
Options: a ) 88888883 , b ) 88888827 , c ) 16992677 , d ) 88888237 , e ) 88888182
Answer: a
Input: Problem: when 1 / 10 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is 
Options: a ) 50 , b ) 200 , c ) 396 , d ) 398 , e ) 400
Answer: c
Input: Problem: the tax on a commodity is diminished by 30 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 18 % , b ) 72 % , c ) 32 % , d ) 16 % , e ) 52 %
Answer: d
Input: Problem: if 5 < x < 9 and y = x + 7 , what is the greatest possible integer value of x + y ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: d
Input: Problem: if 2 x + y = 7 and x + 2 y = 5 , then 2 xy / 3 = ? 
Options: a ) 1 , b ) 2 , c ) 17 / 5 , d ) 18 / 5 , e ) 4
Answer: b
Input: Problem: find value of x : ( 422 + 404 ) ^ 2 − ( 4 × 422 × 404 ) = x . 
Options: a ) 234 , b ) 267 , c ) 324 , d ) 356 , e ) 577
Answer: c
Input: Problem: of the families in city x in 1991 , 60 percent owned a personal computer . the number of families in city x owning a computer in 1993 was 20 percent greater than it was in 1991 , and the total number of families in city x was 9 percent greater in 1993 than it was in 1991 . what percent of the families in city x owned a personal computer in 1993 ? 
Options: a ) 59 % , b ) 55 % , c ) 63 % , d ) 66 % , e ) 68 %
Answer: d
Input: Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.6 ? 
Options: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 1.08 , e ) 2.46
Answer: c
Input: Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 25 , by how much does the temperature in degrees celsius ( c ) increase ? 
Options: a ) 9 , b ) 13.88 , c ) 47 , d ) 48 3 / 5 , e ) 59
Answer: b
Input: Problem: the unit digit in the product ( 115 * 297 * 196 * 108 ) is : 
Options: a ) 2 , b ) 7 , c ) 6 , d ) 0 , e ) 8
Answer: d
Input: Problem: 46 x 46 = ? 
Options: a ) 2500 , b ) 2516 , c ) 1600 , d ) 36 , e ) 2116
Answer: e
Input: Problem: the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 33 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ? 
Options: a ) 17 litres , b ) 22 litres , c ) 11 litres , d ) 07 litres , e ) 38 litres
Answer: b
Input: Problem: a man owns 1 / 3 of market reserch beauro buzness , and sells 3 / 5 of his shares for 15000 rs , what is the value of buzness ? 
Options: a ) 55000 , b ) 75000 , c ) 65000 , d ) 190000 , e ) 250000
Answer: b
Input: Problem: the average age of a class of 39 students is 15 years . if the age of the teacher be included , then the average increased by 3 months . find the age of the teacher ? 
Options: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 39
Answer: a
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 $ 0.50 per glass on the first day , what was the price per glass on the second day ? 
Options: a ) $ 0.15 , b ) $ 0.20 , c ) $ 0.33 , d ) $ 0.40 , e ) $ 0.45
Answer: c
Input: Problem: robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert earned a performance incentive rs . 7280 / - from company . but robert forgot that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the bonus amount given to robert ? 
Options: a ) a ) 9500 , b ) b ) 12500 , c ) c ) 10780 , d ) d ) 10500 , e ) e ) 8600
Answer: c
Input: Problem: what is the average of first 21 multiples of 6 ? 
Options: a ) a ) 66 , b ) b ) 77 , c ) c ) 79 , d ) d ) 81 , e ) e ) 82
Answer: a
Input: Problem: ( 0.15 ) ( power 3 ) - ( 0.06 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.009 + ( 0.06 ) ( power 2 ) is : 
Options: a ) 0.09 , b ) 0.08 , c ) 0.1 , d ) 0.07 , e ) none of them
Answer: a
Input: Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,900 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? 
Options: a ) 38,000 , b ) 40,000 , c ) 42,500 , d ) 45,900 , e ) 48,500
Answer: d
Input: Problem: total 52 matches are conducted in knockout match type . how many players will be participated in that tournament ? 
Options: a ) 60 , b ) 51 , c ) 53 , d ) 56 , e ) 50
Answer: b
Input: Problem: how many integers are between 4 and 88 / 9 , inclusive ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: what approximate value will come in place of the question mark ( ? ) in the below question ? ( 47 % of 1442 - 36 % of 1412 ) + 63 = ? 
Options: a ) 237 , b ) 278 , c ) 278 , d ) 252 , e ) 271
Answer: d
Input: Problem: a grocer has a sale of rs . 4435 , rs . 4927 , rs . 4855 , rs . 5230 and rs . 4562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 4500 ? 
Options: a ) 1991 , b ) 2991 , c ) 3991 , d ) 4521 , e ) 5991
Answer: b
Input: Problem: bill downloads the movierevenge of the avengersto his computer in 2.5 hours , using a download manager that downloads from 3 sources marked a , b and c . each source provides download at a constant rate , but the rates of different sources are not necessarily identical . if the movie was downloaded from sources a and c alone , it would take 4 hours to complete the download . the next day , source b is available , but the other sources are inactive . how long will it take to download the trailer of the movie , a file that is 10 times smaller , from source b alone ? 
Options: a ) 40 minutes , b ) 15 minutes , c ) 12 minutes , d ) 10 minutes , e ) 3 minutes
Answer: a
Input: Problem: an amount of rs . 3120 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? 
Options: a ) 720 , b ) 360 , c ) 250 , d ) 280 , e ) 290
Answer: a
Input: Problem: what is the remainder when ( 71 ) ( 73 ) is divided by 8 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7
Answer: e
Input: Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 22 , then how old is b ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: when positive integer t is divided by 13 , the remainder is 2 . when n is divided by 8 , the remainder is 5 . how many such values are less than 180 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: find the value of ( 20 c 18 ) * ( 20 c 20 ) 
Options: a ) 400 , b ) 380 , c ) 360 , d ) 350 , e ) 330
Answer: b
Input: Problem: if q and t are positive integers , qt + q + t can not be 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: b
Input: Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 60 % have red flags , what percentage of children have flags of both the colors ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) it can not be determined
Answer: d
Input: Problem: how many integers are between 4 and 87 / 8 , inclusive ? 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 10
Answer: c
Input: Problem: if the average of 37 , 69 , 47 and x is 46.5 , what is x ? 
Options: a ) 37 , b ) 41 , c ) 50 , d ) 59 , e ) 33
Answer: e
Input: Problem: the sum of the first 80 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? 
Options: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600
Answer: c
Input: Problem: a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - 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 ) 2 / 3 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2
Answer: c
Input: Problem: how much is 80 % of 45 is greater than 4 / 5 of 25 ? 
Options: a ) 15 , b ) 57 , c ) 16 , d ) 16 , e ) 73
Answer: c
Input: Problem: 0.999999 + 0.111111 = ? 
Options: a ) 1 , b ) 1.0001 , c ) 1.0021 , d ) 1.111 , e ) 1.11111
Answer: e
Input: Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6900 ? 
Options: a ) s . 4991 , b ) s . 5991 , c ) s . 6001 , d ) s . 6991 , e ) s . 7391
Answer: e
Input: Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 3.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Answer: e
Input: Problem: how many integers between 324,700 and 387,600 have tens digit 1 and units digit 3 ? 
Options: a ) 438 , b ) 629 , c ) 780 , d ) 879 , e ) 924
Answer: b
Input: Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? 
Options: a ) 50 , b ) 88 , c ) 77 , d ) 66 , e ) 51
Answer: a
Input: Problem: find the principle on a certain sum of money at 7 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? 
Options: a ) 939.6 , b ) 958.9 , c ) 927.78 , d ) 926.82 , e ) 902.1
Answer: b
Input: Problem: how many positive integers less than 60 have a reminder 01 when divided by 3 ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 20
Answer: e
Input: Problem: let p be a prime number greater than 2 , and let n = 32 p . how many odd divisors does n have ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: calculate the average of all the numbers between 15 and 55 which are divisible by 4 . 
Options: a ) 39 , b ) 33 , c ) 34 , d ) 30 , e ) 36
Answer: c
Input: Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income ofq is : 
Options: a ) 1100 , b ) 2100 , c ) 1200 , d ) 3100 , e ) 1300
Answer: a
Input: Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 1,500 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 6,000 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? 
Options: a ) 40 % , b ) 35 % , c ) 30 % , d ) 20 % , e ) 28 %
Answer: d
Input: Problem: solve the equation for x : 5 x - 14 + 3 x = 4 + 9 - x 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 3
Answer: e
Input: Problem: if 4 a – 2 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ? 
Options: a ) 3 , b ) 9 , c ) 10 , d ) 12 , e ) 14
Answer: d
Input: Problem: if n is a prime number greater than 17 , what is the remainder when n ^ 2 is divided by 12 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: b
Input: Problem: on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 2 is how many times as great as the frequency corresponding to a reading of 8 ? 
Options: a ) 40 , b ) 50 , c ) 10 ^ 4 , d ) 10 ^ 5 , e ) 10 ^ 6
Answer: e
Input: Problem: if the probability of rain on any given day in chicago during the summer is 25 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ? 
Options: a ) 1 / 16 , b ) 3 / 32 , c ) 5 / 32 , d ) 3 / 64 , e ) 7 / 64
Answer: d
Input: Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 50 points in 60 . how many points can y give z in x game of 100 ? 
Options: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 75
Answer: e
Input: Problem: in a fuel station the service costs $ 2.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? 
Options: a ) 320 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 462 $
Answer: e
Input: Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 80 , how many horses are there ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: d
Input: Problem: a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent e of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? 
Options: a ) 9 % , b ) 11 % , c ) 15 % , d ) 25 % , e ) 90 %
Answer: d
Input: Problem: we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 12 , and the difference between the total number of strawberries and the total number of blueberries would increase by 76 . each blue box contains how many blueberries ? 
Options: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Answer: d
Input: Problem: 4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution . what is the percentage of alcohol in the new solution ? 
Options: a ) 14.4 % , b ) 14.8 % , c ) 15.2 % , d ) 15.6 % , e ) 16.0 %
Answer: a
Input: Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 18 miles , how many miles was mike ' s ride ? 
Options: a ) 30 , b ) 34 , c ) 38 , d ) 42 , e ) 48
Answer: c
Input: Problem: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of q ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: a
Input: Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 40 % more recliners . what is the percentage increase of the gross ? 
Options: a ) 10 % , b ) 15 % , c ) 11.2 % , d ) 7 % , e ) 13 %
Answer: c
Input: Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 50 , and what number ? 
Options: a ) 40 , b ) 45 , c ) 55 , d ) 45 , e ) 50
Answer: d
Input: Problem: if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number w of integers that can be negative ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: d
Input: Problem: a merchant has selected two items to be placed on sale , one of which currently sells for 25 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ? 
Options: a ) 52 % , b ) 40 % , c ) 30 % , d ) 20 % , e ) 10 %
Answer: c
Input: Problem: during a certain two - week period , 75 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 2 / 3 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? 
Options: a ) 5 a , b ) 10 a , c ) 15 a , d ) 18 a , e ) 25 a
Answer: a
Input: Problem: how many two - digit numbers that do not contain the digits 1 or 4 are there ? 
Options: a ) 112 , b ) 56 , c ) 64 , d ) 49 , e ) 84
Answer: b
Input: Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 35 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ? 
Options: a ) 19 , b ) 25 , c ) 35 , d ) 45 , e ) 75
Answer: a
Input: Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1021 . find the cost of each ice - cream cup ? 
Options: a ) 35 , b ) 66 , c ) 77 , d ) 99 , e ) 91
Answer: a
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is : 
Options: a ) 36.5 , b ) 35 , c ) 34 , d ) 33 , e ) 32.5
Answer: a
Input: Problem: on dividing a number by 7 , we get 3 as quotient and 0 as remainder . on dividing the same number by 3 , what will be the remainder ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 0 , e ) 4
Answer: d
Input: Problem: there are 660 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? 
Options: a ) 75 , b ) 110 , c ) 125 , d ) 175 , e ) 225
Answer: b
Input: Problem: set x consists of 5 integers and has median of 20 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ? 
Options: a ) 20 , b ) 37 , c ) c . 40 , d ) 43 , e ) 50
Answer: a
Input: Problem: if ( x + yi ) / i = ( 7 + 9 i ) , where x and y are real , what is the value of ( x + yi ) ( x - yi ) ? 
Options: a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150
Answer: c
Input: Problem: two employees x and y are paid a total of rs . 528 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 . 299 , e ) s . 240
Answer: e
Input: Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 340 . how much does c have ? 
Options: a ) 50 , b ) 40 , c ) 267 , d ) 29 , e ) 27
Answer: b
Input: Problem: there are 4 more women than there are men on a local co - ed softball team . if there are a total of 18 players on the team , what is the ratio of men to women ? 
Options: a ) 10 / 16 , b ) 6 / 16 , c ) 7 / 11 , d ) 6 / 10 , e ) 4 / 10
Answer: c
Input: Problem: in a race where 12 cars are running , the chance that car x will win is 1 / 6 , that y will win is 1 / 10 and that z will win is 1 / 8 . assuming that a dead heat is impossible , find the chance that one of them will win . 
Options: a ) 1 / 140 , b ) 1 / 180 , c ) 27 / 410 , d ) 47 / 120 , e ) 57 / 120
Answer: d
Input: Problem: the number of diagonals of a polygon of n sides is given by the formula q = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: b
Input: Problem: find the ones digit of 73 ^ 351 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: d
Input: Problem: a number , x is chosen at random from the set of positive integers less than 10 . what is the probability that ( 7 / x ) > x ? 
Options: a ) 1 / 5 , b ) 7 / 9 , c ) 1 / 3 , d ) 2 / 3 , e ) 2 / 9
Answer: e
Input: Problem: a palindrome is a number that reads the same forward and backward , such as 145 . how many odd , 4 - digit numbers are palindromes ? 
Options: a ) 40 , b ) 45 , c ) 80 , d ) 90 , e ) 2500
Answer: c