Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 7000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ? 
Options: a ) $ 28000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Answer: a
Input: Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 130 , how much more remains to be paid ? 
Options: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,170 , e ) $ 1,210
Answer: d
Input: Problem: 1 , 8 , 27 , 64 , . . . 
Options: a ) 25 , b ) 48 , c ) 59 , d ) 63 , e ) 125
Answer: e
Input: Problem: find the value of ( 70 + 28 / 100 ) × 100 
Options: a ) 7028 , b ) 4028 , c ) 3128 , d ) 3256 , e ) 5264
Answer: a
Input: Problem: the difference between the place values of two eights in the numerical 38140482 is 
Options: a ) 7999920 , b ) 799920 , c ) 7920 , d ) 79920 , e ) none of them
Answer: a
Input: Problem: set a of 8 positive integers may have the same element and have 40 . and set b of 8 positive integers must have different elements and have 40 . when m and n are the greatest possible differences between 40 and other elements ’ sums in set a and set b , respectively , m - n = ? 
Options: a ) 21 , b ) 29 , c ) 23 , d ) 25 , e ) 26
Answer: a
Input: Problem: if ( 10 ^ 4 * 3.456789 ) ^ 9 is written as a single term , how many digits would be to the right of the decimal place ? 
Options: a ) 6 , b ) 12 , c ) 18 , d ) 32 , e ) 48
Answer: c
Input: Problem: how many 3 - digit numbers can be formed from the digits 2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and if the repetition is allowed ? 
Options: a ) 20 , b ) 5 , c ) 10 , d ) 36 , e ) 25
Answer: d
Input: Problem: find the ones digit of 73 ^ 330 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: b
Input: Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 355 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? 
Options: a ) 90 , b ) 115 , c ) 120 , d ) 130 , e ) 220
Answer: b
Input: Problem: sum of two numbers is 25 . first exceeds by 5 from the other . then the numbers will be ? 
Options: a ) 20 , 5 , b ) 10 , 15 , c ) 15 , 10 , d ) 5 , 20 , e ) 12 , 13
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 . 2120 ? 
Options: a ) rs . 1000.15 , b ) rs . 1100.95 , c ) rs . 1892.85 , d ) rs . 1050.85 , e ) rs . 1200.25
Answer: c
Input: Problem: calculate 56581 ÷ ? = 137 
Options: a ) 113 , b ) 213 , c ) 413 , d ) 417 , e ) 414
Answer: c
Input: Problem: a large box contains 18 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? 
Options: a ) 350 , b ) 250 , c ) 450 , d ) 550 , e ) 650
Answer: c
Input: Problem: if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land tails up exactly twice in 2 consecutive flips ? 
Options: a ) 0.125 , b ) 0.25 , c ) 0.375 , d ) 0.5 , e ) 0.666
Answer: b
Input: Problem: a military camp has a food reserve for 250 personnel for 40 days . if after 15 days 50 more personnel are added to the camp , find the number of days the reserve will last for ? 
Options: a ) 25 , b ) 67 , c ) 26 , d ) 29 , e ) 18
Answer: a
Input: Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student . the weight of the student is 
Options: a ) 62 kg , b ) 60 kg , c ) 64 kg , d ) 72 kg , e ) none of these
Answer: c
Input: Problem: in arun ' s opinion , his weight is greater than 64 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 67 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? 
Options: a ) 86.5 kg , b ) 66.5 kg , c ) 46.5 kg , d ) 65.5 kg , e ) 16.5 kg
Answer: d
Input: Problem: mr . smith calculated the average of 10 3 digit numbers . but due to a mistake he reversed the digits of a number and thus his average increased by 19.8 the difference between the unit digit and hundreds digit of that number is : 
Options: a ) 2 , b ) 6 , c ) 5 , d ) 3 , e ) 4
Answer: a
Input: Problem: the average age of 32 students in a group is 10 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? 
Options: a ) 45 , b ) 43 , c ) 51 , d ) 53 , e ) 57
Answer: b
Input: Problem: if greg buys 3 shirts , 6 trousers and 4 ties , the total cost is $ 80 . if greg buys 7 shirts , 2 trousers and 4 ties , the total cost is $ 80 . how much will it cost him to buy 5 trousers , 4 shirts and 4 ties ? 
Options: a ) $ 60 , b ) $ 64 , c ) $ 80 , d ) $ 96 , e ) can not be determined
Answer: c
Input: Problem: 13 ltr of water is added with 11 ltr of a solution containing 16 % of alcohol in the water . the % of alcohol in the new mixture is ? 
Options: a ) 7.33 % , b ) 9 % , c ) 9.67 % , d ) 11 % , e ) 11.5 %
Answer: a
Input: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 3 ) , what is the value of w ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Answer: c
Input: Problem: a large box contains 21 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? 
Options: a ) 250 , b ) 350 , c ) 450 , d ) 550 , e ) 525
Answer: e
Input: Problem: what is remainder of the division ( 1225 * 1227 * 1229 ) / 12 ? 
Options: a ) 1 , b ) 0 , c ) 3 , d ) 2 , e ) 4
Answer: c
Input: Problem: a man can row 3.3 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? 
Options: a ) 1.9 , b ) 1.7 , c ) 1.2 , d ) 1.5 , e ) 1.1
Answer: e
Input: Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio s of men to women ? 
Options: a ) 5 : 2 , b ) 5 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 3 : 1
Answer: a
Input: Problem: if p / q = 3 / 7 , then 2 p + q = ? 
Options: a ) 12 , b ) 14 , c ) 13 , d ) 15 , e ) 16
Answer: c
Input: Problem: farm tax is levied on the 50 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : 
Options: a ) 15 % , b ) 25 % , c ) 0.125 % , d ) 0.2083 % , e ) none
Answer: b
Input: Problem: the milk level in a rectangular box measuring 50 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 ) 4687.5 , e ) 5635.5
Answer: d
Input: Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 1 ? 
Options: a ) 6 , b ) 24 , c ) 30 , d ) 32 , e ) 48
Answer: a
Input: Problem: when a number is divided by 6 & then multiply by 12 the answer is 18 what is the no . ? 
Options: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 5.7 , e ) 9
Answer: e
Input: Problem: in an office , totally there are 5200 employees and 45 % of the total employees are males . 50 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? 
Options: a ) 1040 , b ) 1170 , c ) 1150 , d ) 4160 , e ) none of these
Answer: b
Input: Problem: the least number which when divided by 3 , 4 , 5 and 6 leaves a remainder 6 , but when divided by 9 leaves no remainder , is 
Options: a ) 117 , b ) 126 , c ) 252 , d ) 336 , e ) none of these
Answer: b
Input: Problem: sandy bought 65 books for $ 1280 from one shop and 55 books for $ 880 from another shop . what is the average price that sandy paid per book ? 
Options: a ) $ 12 , b ) $ 14 , c ) $ 16 , d ) $ 18 , e ) $ 20
Answer: d
Input: Problem: each of the positive integers a and c is a 4 - digit integer . if each of the digits 0 through 9 appears in one of these 3 integers , what is the maximum possible value of the sum of a and c ? 
Options: a ) 18695 , b ) 18325 , c ) 18365 , d ) 18395 , e ) 18485
Answer: d
Input: Problem: a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 48 km / hr . what is the speed of the car in the second half of the trip ? 
Options: a ) 72 , b ) 75 , c ) 80 , d ) 84 , e ) 90
Answer: c
Input: Problem: pat , kate , and mark charged a total of 117 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? 
Options: a ) 18 , b ) 36 , c ) 72 , d ) 90 , e ) 65
Answer: e
Input: Problem: a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 4 years . the sum is ? 
Options: a ) s . 440 , b ) s . 500 , c ) s . 720 , d ) s . 740 , e ) s . 840
Answer: c
Input: Problem: in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 4 . if the probability that a number 12 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 20 is drawn ? 
Options: a ) 1 / 18 , b ) 1 / 6 , c ) 1 / 3 , d ) 1 / 2 , e ) 7 / 12
Answer: e
Input: Problem: if a and b are the roots of the equation x 2 - 9 x + 20 = 0 , find the value of a 2 + b 2 + ab ? 
Options: a ) 57 , b ) 59 , c ) 61 , d ) 63 , e ) 65
Answer: c
Input: Problem: if x > 0 , x / 40 + x / 20 is what percent of x ? 
Options: a ) 6 % , b ) 25 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %
Answer: e
Input: Problem: at 6 ' o clock clock ticks 6 times . the time between first and last ticks was 30 sec . how much time it takes at 8 ' o clock . 
Options: a ) 54 sec , b ) 48 sec , c ) 42 sec , d ) 70 sec , e ) 60 sec
Answer: c
Input: Problem: 4 + 4 
Options: a ) 8 , b ) 2 , c ) 1 , d ) 5 , e ) 2
Answer: c
Input: Problem: what is the remainder when you divide 2 ^ 200 - 1 by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: the average of marks obtained by 120 boys was 35 . if the average of marks of passed boys was 39 and that of failed boys was 15 , the number of boys who passed the examination is ? 
Options: a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) 140
Answer: a
Input: Problem: a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 1250 kg . what is the maximum weight of the crates on a single trip ? 
Options: a ) 1250 , b ) 6250 , c ) 600 , d ) 7500 , e ) 375
Answer: b
Input: Problem: if x + ( 1 / x ) = 5 , what is the value of w = x ^ 2 + ( 1 / x ) ^ 2 ? 
Options: a ) w = 21 , b ) w = 22 , c ) w = 23 , d ) w = 24 , e ) 27
Answer: c
Input: Problem: 122 * 252 - 12234 = ? 
Options: a ) 15310 , b ) 18870 , c ) 24510 , d ) 18510 , e ) 42510
Answer: d
Input: Problem: a basketball player is shooting hoops . he shoots a free throw , a high school 3 - pointer , and then a professional 3 - pointer . the probability that he makes the free throw is 4 / 5 , the probability that he makes the high school 3 - pointer is 1 / 2 , and the probability that he makes the professional 3 - pointer is 1 / 3 . what is the probability that he makes at least one of the 3 shots ? 
Options: a ) 14 / 15 , b ) 15 / 16 , c ) 17 / 18 , d ) 9 / 10 , e ) 5 / 6
Answer: a
Input: Problem: there were totally 100 men . 83 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 100 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 24,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 100 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 ) 278 , b ) 366 , c ) 349 , d ) 335 , e ) 295
Answer: c
Input: Problem: you have been given a physical balance and 7 weights of 52 , 50 , 48 , 44 , 45 , 46 and 78 kgs . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 183 kgs . 
Options: a ) 180 , b ) 181 , c ) 182 , d ) 178 , e ) 168
Answer: a
Input: Problem: what is the remainder when 8 ^ 381 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: d
Input: Problem: average monthly income of a family of 4 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 590 . the income of the deceased was ? 
Options: a ) rs . 692.80 , b ) rs . 820 , c ) rs . 1170 , d ) rs . 1385 , e ) none
Answer: c
Input: Problem: in a company of 12 employees , 5 employees earn $ 36000 , 4 employees earn $ 45000 , and the 3 highest - paid employees earn the same amount . if the average annual salary for the 12 employees is $ 47500 , what is the annual salary for each of the highest - paid employees ? 
Options: a ) $ 60,000 , b ) $ 65,000 , c ) $ 70,000 , d ) $ 75,000 , e ) $ 80,000
Answer: c
Input: Problem: a seller of used cars has 16 cars to sell and each of his clients selected 2 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 24
Answer: e
Input: Problem: exactly 3 / 5 of the people in the room are under the age of 21 , and exactly 5 / 13 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ? 
Options: a ) 21 , b ) 35 , c ) 39 , d ) 60 , e ) 42
Answer: e
Input: Problem: a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number . 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Answer: c
Input: Problem: ravi ' s 4 days average income is 1025.68 . but in a form he should write his average income as the greatest positive even integer less than or equal to his 4 days average income . what is the difference between his real average and form filling average ? 
Options: a ) 2 , b ) 4.3 , c ) 1.68 , d ) 1.5 , e ) 3.2
Answer: c
Input: Problem: the sum of the first 50 positive even integers is 2550 . what is the sum w of even integers from 102 to 200 inclusive ? 
Options: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100
Answer: b
Input: Problem: the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the difference the sum and the number if the ratio between the digits of the number is 1 : 2 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
Answer: b
Input: Problem: if there are 200 questions in a 3 hr examination . among these questions are 100 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? 
Options: a ) 72 min , b ) 62 min , c ) 70 min , d ) 74 min , e ) 120 min
Answer: e
Input: Problem: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? 
Options: a ) 2 : 9 , b ) 2 : 7 , c ) 1 : 7 , d ) 1 : 4 , e ) 1 : 3
Answer: c
Input: Problem: given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 4 ? 
Options: a ) 7 , b ) 8 , c ) 10 , d ) 11 , e ) 12
Answer: c
Input: Problem: a meal cost $ 33.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : 
Options: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37
Answer: d
Input: Problem: what is the product of all the possible values of x if x ^ 2 + 5 x + 6 ? 
Options: a ) 12 , b ) 18 , c ) 15 , d ) 6 , e ) 9
Answer: d
Input: Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 18 - m ) then m = ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: c
Input: Problem: how many multiples of 2 are there between 10 and 52 , 10 and 52 inclusive ? 
Options: a ) 27 , b ) 25 , c ) 24 , d ) 21 , e ) 22
Answer: e
Input: Problem: how many multiples of 4 are less than 3200 , and also multiples of 16 ? 
Options: a ) 104 , b ) 200 , c ) 625 , d ) 832 , e ) 833
Answer: b
Input: Problem: the milk level in a rectangular box measuring 62 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 ) 5812.5 , e ) 5835.5
Answer: d
Input: Problem: the average of 5 quantities is 8 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? 
Options: a ) 14 , b ) 10 , c ) 8 , d ) 9.5 , e ) none of these
Answer: a
Input: Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 14 ? 
Options: a ) 15 , b ) 12 , c ) 17 , d ) 18 , e ) 19
Answer: b
Input: Problem: the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and 15 as remainder . what is the smaller number ? 
Options: a ) 240 , b ) 270 , c ) 295 , d ) 360 , e ) 365
Answer: b
Input: Problem: a clock store sold a certain clock to a collector for 45 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 25 percent of what the collector had paid . the shop then sold the clock again at a profit of 55 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 180 , for how much did the shop sell the clock the second time ? 
Options: a ) $ 149.55 , b ) $ 134.56 , c ) $ 175.43 , d ) $ 158.65 , e ) $ 255.45
Answer: d
Input: Problem: n is a whole number which when divided by 4 gives 3 as remainder . what will be the remainder when 2 n is divided by 4 ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 5
Answer: b
Input: Problem: a batsman had a certain average of runs for 16 innings . in the 17 th innings , he made a score of 87 runs thereby increasing his average by 3 . what is his average after 17 innings ? 
Options: a ) 39 , b ) 88 , c ) 266 , d ) 278 , e ) 221
Answer: a
Input: Problem: if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 3 ? 
Options: a ) - 1 , b ) 0 , c ) 4 , d ) 2 , e ) 3
Answer: c
Input: Problem: if n is a positive integer , what is the remainder when ( 7 ^ ( 4 n + 2 ) ) ( 6 ^ n ) is divided by 10 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: c
Input: Problem: a camera lens filter kit containing 5 filters sells for $ 67.50 . if the filters are purchased individually , 2 of them are priced at $ 7.45 each , 2 at $ 10.05 each , 1 at $ 14.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ? 
Options: a ) 25.66 % , b ) 26.66 % , c ) 27.66 % , d ) 28.66 % , e ) 29.66 %
Answer: b
Input: Problem: the sum of two numbers is 45 . sum of their quotient and reciprocal is 2.05 , find the product of the numbers . 
Options: a ) 339 , b ) 500 , c ) 288 , d ) 277 , e ) 112
Answer: b
Input: Problem: if 9 / ( 5 + 3 / x ) = 1 , then x = 
Options: a ) 3 , b ) 1 , c ) 3 / 4 , d ) - 1 / 3 , e ) - 3
Answer: c
Input: Problem: the difference between the ages of two persons is 20 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the younger person is ? 
Options: a ) 30 , b ) 35 , c ) 25 , d ) 28 , e ) 32
Answer: b
Input: Problem: a number is increased by 50 % and then decreased by 50 % . find the net increase or decrease per cent . 
Options: a ) 25 % , b ) 18 % , c ) 17 % , d ) 13 % , e ) 16 %
Answer: a
Input: Problem: a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph , find his average speed for the total journey ? 
Options: a ) 1 kmph , b ) 5 kmph , c ) 5.5 kmph , d ) 4 kmph , e ) 7 kmph
Answer: c
Input: Problem: find the mean proportional between 25 & 36 ? 
Options: a ) a ) 59 , b ) b ) 30 , c ) c ) 63 , d ) d ) 65 , e ) e ) 67
Answer: b
Input: Problem: what least number should be subtracted from 997 so that the remainder when divided by 5 , 9 , and 11 will leave in each case the same remainder 3 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 70 . he was allowed to drop his lowest score . after doing so , his average test score improved to 75 . what is the lowest test score that was dropped ? 
Options: a ) 20 , b ) 25 , c ) 55 , d ) 65 , e ) 80
Answer: c
Input: Problem: if the average ( arithmetic mean ) of a and b is 35 and the average of b and c is 80 , what is the value of c − a ? 
Options: a ) 25 , b ) 50 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .
Answer: c
Input: Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 11 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? 
Options: a ) 2,858 , b ) 8,667 , c ) 21,429 , d ) 35,000 , e ) 70,000
Answer: e
Input: Problem: what is the 99 th digit after the decimal point in the decimal expansion of 2 / 9 + 3 / 11 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 7 , e ) 9
Answer: c
Input: Problem: what least number should be added to 1015 , so that the sum is completely divisible by 25 ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 10 , e ) 5
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 500000 ? 
Options: a ) 160 , b ) 200 , c ) 240 , d ) 300 , e ) 480
Answer: b
Input: Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 998 ? 
Options: a ) 249 , b ) 498 , c ) 676 , d ) 823 , e ) 1,002
Answer: b
Input: Problem: if z is a multiple of 8902 , what is the remainder when z ^ 2 is divided by 4 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) it depends on z .
Answer: a
Input: Problem: if taxi fares were $ 3.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 4 - mile ride was 
Options: a ) $ 6.80 , b ) $ 6.50 , c ) $ 16.80 , d ) $ 6.85 , e ) $ 61.80
Answer: a
Input: Problem: circles x and y are concentric . if the radius of circle x is 6 times that of circle y , what is the probability that a point selected inside circle x at random will be outside circle y ? 
Options: a ) 13 , b ) pi / 3 , c ) pi / 2 , d ) 35 / 36 , e ) 8 / 9
Answer: d
Input: Problem: in a 6 - sided polygon xqrstv ∠ x measures 48 ° less than the average ( arithmetic mean ) of the remaining 5 angles . what does ∠ x equal to , in degrees ? 
Options: a ) 72 , b ) 80 , c ) 88 , d ) 96 , e ) 104
Answer: b
Input: Problem: if 2994 ã · 14.5 = 179 , then 29.94 ã · 1.45 = ? 
Options: a ) 17.1 , b ) 17.3 , c ) 17.5 , d ) 17.7 , e ) 17.9
Answer: e
Input: Problem: what is the least value of x . so that 1894 x is divisible by 3 ? 
Options: a ) 2 , b ) 5 , c ) 1 , d ) 6 , e ) 7
Answer: a
Input: Problem: 12 years ago , p was half of q in age . if the ratio of their present ages is 3 : 4 , what will be the total of their present ages 
Options: a ) a ) 35 , b ) b ) 34 , c ) c ) 42 , d ) d ) 25 , e ) e ) 26
Answer: c
Input: Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number x is 
Options: a ) 74 , b ) x = 75 , c ) x = 175 , d ) x = 680 , e ) 690
Answer: b
Input: Problem: what least no . must be subtracted from 5026 so that remaining no . is divisible by 5 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 1
Answer: e
Input: Problem: a company produces on an average 4000 items per month for the first 3 months . how many items it must produce on an average per month over the next 9 months , to average of 4375 items per month over the whole ? 
Options: a ) 4500 , b ) 4600 , c ) 4680 , d ) 4710 , e ) none
Answer: a
Input: Problem: sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 6700 ? 
Options: a ) 4966 , b ) 6191 , c ) 2877 , d ) 2676 , e ) 1881
Answer: b
Input: Problem: find the ones digit of 73 ^ 352 
Options: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: a
Input: Problem: a man is 22 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 ) 8 years , b ) 2 years , c ) 7 years , d ) 8 years , e ) 5 years
Answer: d
Input: Problem: if a = { 17 , 27 , 31 , 53 , 61 } , what is the sum of mean and median of the numbers in a ? 
Options: a ) 69 , b ) 75 , c ) 82 , d ) 91 , e ) 56
Answer: a
Input: Problem: niall ' s income is 60 % less than rex ' s income , and sam ' s income is 25 % less than niall ' s income . if rex gave 60 % of his income to sam and 40 % of his income to niall , niall ' s new income would be what fraction of sam ' s new income ? 
Options: a ) 8 / 9 , b ) 11 / 12 , c ) 8 / 13 , d ) 11 / 13 , e ) 12 / 13
Answer: a
Input: Problem: how many prime numbers are between 25 / 8 and 213 / 6 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: d
Input: Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction w of the total distance did he cover while the sun was shining on him ? 
Options: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7
Answer: e
Input: Problem: if a ( a + 5 ) = 36 and b ( b + 5 ) = 36 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 5 , c ) 2 , d ) 46 , e ) 48
Answer: b
Input: Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200000 and only 0.2 % on a company ’ s payroll above $ 200000 . 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: in the xy - coordinate system , if ( m , n ) and ( m + 2 , n + k ) are two points on the line with the equation x = 2 y + 3 , then k = 
Options: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 5 / 2 , e ) 4
Answer: b
Input: Problem: an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 100000 people who applied for the army and 175 were finally selected , what was the value of n ? 
Options: a ) 4 , b ) 9 , c ) 6 , d ) 8 , e ) 10
Answer: b
Input: Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 4 years hence ? 
Options: a ) 22 , b ) 77 , c ) 70 , d ) 68 , e ) 71
Answer: d
Input: Problem: how many two - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: d
Input: Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ? 
Options: a ) 200 , b ) 10 ^ 100 , c ) 10 ^ 102 , d ) 100 ^ 100 , e ) 1000 ^ 10
Answer: c
Input: Problem: in a group of ducks and cows , the total number of legs are 8 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 5 , b ) 4 , c ) 6 , d ) 3 , e ) 2
Answer: b
Input: Problem: what number is 76 more than one - fourth of itself ? 
Options: a ) 101 , b ) 225 , c ) 304 , d ) 324 , e ) 336
Answer: a
Input: Problem: the value of ( . 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2 
Options: a ) 100 , b ) 1000 , c ) . 001 , d ) . 0001 , e ) . 01
Answer: a
Input: Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.5 times as old as robert ? 
Options: a ) 1960 , b ) 1965 , c ) 1970 , d ) 1975 , e ) 2000
Answer: e
Input: Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 520 ? 
Options: a ) 259 , b ) 498 , c ) 676 , d ) 823 , e ) 1,002
Answer: a
Input: Problem: of 70 players on a football team , 31 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? 
Options: a ) 57 , b ) 59 , c ) 63 , d ) 71 , e ) 92
Answer: a
Input: Problem: ? x 40 = 173 x 240 
Options: a ) 545 , b ) 685 , c ) 1038 , d ) 495 , e ) 534
Answer: c
Input: Problem: 3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 160 kg then find the average weight of all the 7 rounds ? 
Options: a ) 91.4 kgs , b ) 88.5 kgs , c ) 86.5 kgs , d ) 67.5 kgs , e ) 88.2 kgs
Answer: a
Input: Problem: how many 7 in between 1 to 80 ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 23 , e ) 24
Answer: a
Input: Problem: there are 8 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 ) 28 , d ) 60 , e ) 90
Answer: c
Input: Problem: how much is 50 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 0 , b ) 67 , c ) 88 , d ) 12 , e ) 66
Answer: a
Input: Problem: a certain basketball team that has played 2 / 3 of its games has a record of 15 wins and 5 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 2
Answer: e
Input: Problem: c and d started a business by investing rs . 1000 / - and rs . 1500 / - respectively . find the d ’ s share out of a total profit of rs . 500 : 
Options: a ) 400 , b ) 300 , c ) 200 , d ) 100 , e ) 150
Answer: d
Input: Problem: find the least number which when divided by 5,6 , 7,8 leaves a remainder 3 but when divided by 9 leaves no remainder 
Options: a ) 9632 , b ) 7896 , c ) 8741 , d ) 1683 , e ) 8523
Answer: d
Input: Problem: in 2000 there were 10000 women stockbrokers in the united states . by 2005 the number had increased to 20000 . approximately what was the percent increase ? 
Options: a ) 1 % , b ) 2 % , c ) 1.5 % , d ) 3 % , e ) 4 %
Answer: a
Input: Problem: what should be the least number to be added to the 1202 number to make it divisible by 4 ? 
Options: a ) 12 , b ) 17 , c ) 18 , d ) 77 , e ) 2
Answer: e
Input: Problem: if 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes 
Options: a ) 21 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Answer: a
Input: Problem: what is the remainder of q = 3 ^ 19 when divided by 10 ? 
Options: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9
Answer: d
Input: Problem: a , b , c , d , e , f are the only 6 families in indira nagar . a , b , c , d , e and f has 7 , 8 , 10 , 13 , 6 , and 10 member in their families respectively . if 1 member from all the 6 families left their respective families to accommodate themselves in the hostel of iim lucknow , then the average number of member now in each family of indira nagar is 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 13 , e ) 15
Answer: a
Input: Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 110 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? 
Options: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 440
Answer: e
Input: Problem: the “ s - number ” of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ s , where s is the s - number of the result of his die roll , and plots 3 ^ s on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ? 
Options: a ) 3 / 8 , b ) 13 / 36 , c ) 17 / 36 , d ) 19 / 36 , e ) 23 / 36
Answer: b
Input: Problem: find the smallest number of 6 digits which is exactly divisible by 111 
Options: a ) 100011 , b ) 111111 , c ) 101111 , d ) 1011111 , e ) 211111
Answer: a
Input: Problem: a is an integer greater than 19 but less than 32 , b is an integer greater than 29 but less than 42 , what is the range of a / b ? 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 3 / 4 , d ) 1 , e ) 5 / 4
Answer: b
Input: Problem: the greatest number which on dividing 1442 and 1816 leaves remainders 12 and 6 respectively , is : 
Options: a ) 123 , b ) 127 , c ) 235 , d ) 305 , e ) 10
Answer: e
Input: Problem: on a certain date , pat invested $ 7,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 28,000 , in how many years total will the total value of the investment plus interest increase to $ 56,000 ? 
Options: a ) 15 , b ) 16 , c ) 18 , d ) 20 , e ) 24
Answer: a
Input: Problem: what is the least value of x , so that 2 x 4472 is divisible by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 2
Answer: b
Input: Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 1 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? 
Options: a ) 7 / 16 , b ) 7 / 15 , c ) 10 / 21 , d ) 14 / 17 , e ) 1 / 2
Answer: d
Input: Problem: the product of two successive numbers is 7832 . which is the smaller of the two numbers ? 
Options: a ) 78 , b ) 68 , c ) 88 , d ) 97 , e ) 37
Answer: c
Input: Problem: the least number which when divided by 5 , 6 , 7 and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder , is : 
Options: a ) 2377 , b ) 1683 , c ) 2677 , d ) 9972 , e ) 1611
Answer: b
Input: Problem: x is the product of each integer from 1 to 100 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Answer: e
Input: Problem: a certain galaxy is known to comprise approximately 4 x 10 ^ 12 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? 
Options: a ) 800 , b ) 1,250 , c ) 80,000 , d ) 12,000 , e ) 80,000
Answer: c
Input: Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 200 more than a : 
Options: a ) 2348 , b ) 7250 , c ) 2767 , d ) 1998 , e ) 5800
Answer: e
Input: Problem: if two positive numbers are in the ratio 1 / 9 : 1 / 7 , then by what percent is the second number more than the first ? 
Options: a ) 67 % . , b ) 70 % . , c ) 60 % . , d ) 28.6 % . , e ) 80 % .
Answer: d
Input: Problem: if the price of a certain computer increased 30 percent from b dollars to 351 dollars , then 2 b = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700
Answer: a
Input: Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 420 , what is the least possible value of n ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 12
Answer: b
Input: Problem: find √ ? / 19 = 4 ? 
Options: a ) 76 , b ) 5776 , c ) 304 , d ) 1296 , e ) none
Answer: b
Input: Problem: on average , the boys in the class have 20 pencils and the girls have 38 pencils . if the overall class average is 30 pencils , what is the ratio of boys to girls in the class ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Answer: d
Input: Problem: each child has 2 pencils and 13 skittles . if there are 15 children , how many pencils are there in total ? 
Options: a ) 30 , b ) 12 , c ) 18 , d ) 22 , e ) 08
Answer: a
Input: Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg . what is the weight of the new person ? 
Options: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg
Answer: e
Input: Problem: a university cafeteria offers 4 flavors of pizza - 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 ) 16 , e ) 32
Answer: d
Input: Problem: what is the remainder when 7777 * 8888 * 101010 is divided by 33 
Options: a ) 110 , b ) 220 , c ) 330 , d ) 440 , e ) 550
Answer: b
Input: Problem: i . x + 2 y + 3 z = 2 ii . x + y - z = 0 iii . 2 x + 2 y - z = 1 what is the value of y in the system above ? 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2
Answer: a
Input: Problem: a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 4 volts , what was the smallest possible recording in volts ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: a
Input: Problem: the avg weight of a , b & c is 80 kg . if d joins the group , the avg weight of the group becomes 82 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 81 kg . what is the weight of a ? 
Options: a ) 56 , b ) 65 , c ) 75 , d ) 89 , e ) 95
Answer: e
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 5000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Answer: a
Input: Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 148 , what is the difference between the ages of patrick and monica ? 
Options: a ) 27 , b ) 48 , c ) 45 , d ) 72 , e ) 18
Answer: b
Input: Problem: if a + b + c = 21 , what is the total number of non - negative integral solutions ? 
Options: a ) 223 , b ) 233 , c ) 240 , d ) 243 , e ) 253
Answer: e
Input: Problem: how many distinct 3 digit number less than 10 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: c
Input: Problem: company m produces two kinds of stereos : basic and deluxe . of the stereos produced by company m last month , 2 / 3 were basic and the rest were deluxe . if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? 
Options: a ) 5 / 22 , b ) 4 / 22 , c ) 3 / 22 , d ) 9 / 22 , e ) 7 / 22
Answer: e
Input: Problem: ages of two sisters differ by 9 years . if 5 years ago , the elder one was twice as old the younger one , find their present age 
Options: a ) 1228 , b ) 1423 , c ) 1632 , d ) 1834 , e ) 1932
Answer: b
Input: Problem: what is the sum of 60 consecutive integers from - 30 inclusive , in a increasing order ? 
Options: a ) - 29 , b ) 29 , c ) - 30 , d ) 30 , e ) 60
Answer: c
Input: Problem: if n = 8 ^ 9 – 8 , what is the units digit of n ? 
Options: a ) 4 , b ) 0 , c ) 1 , d ) 2 , e ) 3
Answer: b
Input: Problem: if 204 ÷ 12.75 = 16 , then 2.04 ÷ 1.275 = ? 
Options: a ) 16 , b ) 1.6 , c ) 0.16 , d ) 0.016 , e ) none of these
Answer: b
Input: Problem: tough and tricky questions : mixture problems . a drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 35 ounces of an alcoholic drink that is 1 part rum to 3 parts coke . what is the ratio of rum to coke in the resulting mixture ? 
Options: a ) 2 : 5 , b ) 5 : 15 , c ) 3 : 5 , d ) 4 : 7 , e ) 14 : 5
Answer: b
Input: Problem: in a division , divident is 725 , divisior is 36 and quotient is 20 . find the remainder . 
Options: a ) a ) 4 , b ) b ) 3 , c ) c ) 2 , d ) d ) 5 , e ) e ) 6
Answer: d
Input: Problem: if 8 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ? 
Options: a ) 20 , b ) 24 , c ) 36 , d ) 48 , e ) 60
Answer: d
Input: Problem: two employees m and n are paid a total of rs . 550 per week by their employer . if m is paid 120 percent of the sum paid to n , how much is n paid per week ? 
Options: a ) rs . 220 , b ) rs . 250 , c ) rs . 280 , d ) rs . 300 , e ) rs . 320
Answer: b
Input: Problem: if a ^ 2 + b ^ 2 = 25 and ab = 10 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 50 , e ) 70
Answer: d
Input: Problem: how many integers are divisible by 9 between 10 ! and 10 ! + 100 inclusive ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: e
Input: Problem: the average salary of all the workers in a workshop is rs . 9000 . the average salary of 6 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 ) a ) 23 , b ) b ) 21 , c ) c ) 52 , d ) d ) 56 , e ) e ) 12
Answer: e
Input: Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 6600 ? 
Options: a ) 11 , b ) 13 , c ) 14 , d ) 18 , e ) 10
Answer: a
Input: Problem: find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively . 
Options: a ) 121 , b ) 124 , c ) 127 , d ) 122 , e ) 129
Answer: c
Input: Problem: bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 70 more . what was his original selling price ? 
Options: a ) $ 770 , b ) $ 660 , c ) $ 700 , d ) $ 1100 , e ) $ 840
Answer: d
Input: Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 150 more than a : 
Options: a ) 2348 , b ) 7250 , c ) 4350 , d ) 1998 , e ) 2771
Answer: c
Input: Problem: when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 36 ? 
Options: a ) 3 , b ) 4 , c ) 12 , d ) 32 , e ) 5
Answer: e
Input: Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 44 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 42
Answer: e
Input: Problem: if 525 / 999 = 0.525 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ? 
Options: a ) - 1 , b ) 0 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 100 , e ) 45
Answer: e
Input: Problem: how many positive integers less than 80 are multiples of 4 but not multiples of 6 ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Answer: e
Input: Problem: 5 20 380 144020 ? 
Options: a ) 20741616380 , b ) 20841616380 , c ) 21741616380 , d ) 22741616380 , e ) 20791616380
Answer: a
Input: Problem: a heap of coconuts is divided into groups of 2 , 3 and 11 and each time one coconut is left over . the least number of coconuts in the heap is ? a . 31 b . 41 c . 51 d . 61 
Options: a ) a ) 31 , b ) b ) 41 , c ) c ) 51 , d ) d ) 67 , e ) e ) 71
Answer: d
Input: Problem: if 20 liters of chemical x are added to 80 liters of a mixture that is 5 % chemical x and 95 % chemical y , then what percentage of the resulting mixture is chemical x ? 
Options: a ) 24 % , b ) 26 % , c ) 28 % , d ) 30 % , e ) 32 %
Answer: a
Input: Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 45 - 46 ) 
Options: a ) 356 , b ) 366 , c ) 363 , d ) 396 , e ) 408
Answer: d
Input: Problem: in one day , juan sends keith 8 times as many messages as he sends laurence , and laurence sends missy 4.5 times as many messages as he receives from juan . if missy received 18 messages from laurence , how many messages does keith receive from juan ? 
Options: a ) 13 , b ) 26 , c ) 32 , d ) 48 , e ) 56
Answer: c
Input: Problem: if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 81 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ? 
Options: a ) - 16 , b ) - 20 , c ) 0 , d ) 14 , e ) 16
Answer: b
Input: Problem: what least value should be replaced by * in 223 * 431 so the number become divisible by 9 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 4 , 1 / 3 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ? 
Options: a ) 1 / 32 , b ) 7 / 8 , c ) 9 / 64 , d ) 5 / 64 , e ) 3 / 64
Answer: a
Input: Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 2.00 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? 
Options: a ) $ 144 , b ) $ 135 , c ) $ 90 , d ) $ 60 , e ) $ 54
Answer: a
Input: Problem: a certain company had a total annual expenditure of 2.55 ∗ 10 ^ 7 on employee salaries last year . if the company employed 425 people , what was the average employee salary ? 
Options: a ) $ 60,000 , b ) $ 25,000 , c ) $ 35,000 , d ) $ 40,000 , e ) $ 45,000
Answer: a
Input: Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 137 , what is the value of m ^ 3 + n ^ 3 ? 
Options: a ) 72 , b ) 224 , c ) 320 , d ) 512 , e ) 1,395
Answer: e