Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a certain telescope increases the visual range at a particular location from 60 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ? 
Options: a ) 30 % , b ) 33 1 / 2 % , c ) 40 % , d ) 60 % , e ) 150 %
Answer: e
Input: Problem: on a game show , a contestant is given 3 keys , each of which opens exactly one of 3 identical boxes . the first box contains $ 5 , the second $ 500 , and the third $ 5000 . the contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it . what is the probability that a contestant will win more than $ 5000 ? 
Options: a ) 1 / 9 , b ) 4 / 6 , c ) 3 / 6 , d ) 1 / 2 , e ) 1 / 6
Answer: e
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 50 % more recliners . what is the percentage increase of the gross ? 
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 50 %
Answer: c
Input: Problem: evaluate : 40 - 12 * 3 * 2 = ? 
Options: a ) 62 , b ) 52 , c ) 32 , d ) 12 , e ) 22
Answer: c
Input: Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the youngest child ? 
Options: a ) 2 year , b ) 8 year , c ) 10 year , d ) none of these , e ) 9 year
Answer: a
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 24 / r years . if pat ' s parents invested $ 6,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 30000
Answer: e
Input: Problem: a 12 month project had a total budget of $ 42000 . after 8 months , the project had spent $ 23700 . at this point , how much was the project under budget ? 
Options: a ) $ 4100 , b ) $ 4300 , c ) $ 4500 , d ) $ 4700 , e ) $ 4900
Answer: b
Input: Problem: sum of two numbers is 50 . two times of the difference of first and seceond is 20 . then the numbers will be ? 
Options: a ) 10 , 40 , b ) 20 , 30 , c ) 35 , 15 , d ) 30 , 20 , e ) 15 , 35
Answer: d
Input: Problem: if y is 40 % greater than x , than x is what % less than y ? 
Options: a ) 24.4 % , b ) 28.6 % , c ) 32.3 % , d ) 36.5 % , e ) 40.9 %
Answer: b
Input: Problem: how should we mix two rice packets to get one 1 kg packet priced at rs 8 when the prices of 1 kg packets of the two types are rs 7.1 and rs 9.2 . 
Options: a ) 4 : 3 , b ) 4 : 7 , c ) 4 : 9 , d ) 4 : 2 , e ) 4 : 1
Answer: a
Input: Problem: what is the smallest integer z for which 27 ^ z > 3 ^ 24 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
Answer: c
Input: Problem: ( 17 ) 3.75 x ( 17 ) ? = 178 
Options: a ) 2.29 , b ) 2.75 , c ) 4.25 , d ) 4.5 , e ) none of these
Answer: c
Input: Problem: the average of first 17 even numbers is ? 
Options: a ) 10 , b ) 11 , c ) 18 , d ) 20 , e ) 24
Answer: c
Input: Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg . what might be the weight of the new person ? 
Options: a ) 56 kg , b ) 90 kg , c ) 86 kg , d ) data inadequate , e ) none of these
Answer: c
Input: Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability y that you can still row the canoe ? 
Options: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25
Answer: e
Input: Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many w cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] 
Options: a ) 0.33 , b ) 0.44 , c ) 0.55 , d ) 44 , e ) 55
Answer: d
Input: Problem: the average of runs of a cricket player of 20 innings was 32 . how many runs must he make in his next innings so as to increase his average of runs by 3 ? 
Options: a ) 95 , b ) 106 , c ) 122 , d ) 116 , e ) 122
Answer: a
Input: Problem: a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is - 8 , what is the value of x ? 
Options: a ) - 4 , b ) - 2 , c ) 2 , d ) 4 , e ) can not be determined .
Answer: e
Input: Problem: sum of the squares of 3 no . ' s is 62 and the sum of their products taken two at a time is 131 . find the sum ? 
Options: a ) 20 , b ) 24 , c ) 26 , d ) 18 , e ) 30
Answer: d
Input: Problem: 9 students bought burgers for $ 143 dollars . if the bill has to be divided among these students , how much amount should be added to the amound to make it divided amoung them equally in dollars ( in whole number of dollars ) 
Options: a ) $ 1 , b ) $ 2 , c ) $ 3 , d ) $ 4 , e ) $ 5
Answer: a
Input: Problem: a small pool filled only with water will require an additional 800 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 800 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? 
Options: a ) 1000 , b ) 1250 , c ) 1300 , d ) 2000 , e ) 2250
Answer: e
Input: Problem: the average score of a cricketer in 2 matches is 27 and in other 3 matches is 32 . then find the average score in all the 5 matches ? 
Options: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) 42
Answer: c
Input: Problem: in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the six row ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Answer: c
Input: Problem: a man is 24 years older than his son . in six years , his age will be twice the age of his son . the present age of the son is 
Options: a ) 14 years , b ) 28 years , c ) 20 years , d ) 22 years , e ) none
Answer: e
Input: Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 39 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19
Answer: c
Input: Problem: what is ( 19 ^ 7 + 19 ) / 19 ? 
Options: a ) 45225766 , b ) 46855821 , c ) 47045882 , d ) 48925947 , e ) 49325989
Answer: c
Input: Problem: in a box of 11 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? 
Options: a ) 1 / 25 , b ) 28 / 55 , c ) 2 / 35 , d ) 2 / 55 , e ) 1 / 75
Answer: b
Input: Problem: a prize of $ 400 is to be distributed among 20 winners , each of whom must be awarded at least $ 20 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ? 
Options: a ) $ 100 , b ) $ 220 , c ) $ 280 , d ) $ 300 , e ) $ 360
Answer: a
Input: Problem: the average weight of a , b and c is 44 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is : 
Options: a ) 17 kg , b ) 28 kg , c ) 26 kg , d ) 31 kg , e ) 35 kg
Answer: b
Input: Problem: if 42.30 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: c
Input: Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to z . what is the value of 5.2 – 5.2 * ? 
Options: a ) 0.2 , b ) 1.2 , c ) 1.8 , d ) 2.2 , e ) 4.0
Answer: b
Input: Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 4 years at 20 % per annum is rs . 50 of money ? 
Options: a ) 1000 , b ) 6000 , c ) 5000 , d ) 8000 , e ) 1900
Answer: a
Input: Problem: √ ( 9 ) ^ 2 
Options: a ) 3 , b ) 14 , c ) 9 , d ) 21 , e ) none of these
Answer: c
Input: Problem: in the game of dubblefud , red balls , blue balls and green balls are each worth 2 , 4 and 5 points respectively . in a certain selection of balls , the product of the point values of the balls is 16000 . if the number of blue balls in this selection equals the number of green balls , how many red balls are in the selection ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: in a certain country 1 / 3 of 4 = 8 . assuming the same proportion , what would be the value of 1 / 8 of 4 ? 
Options: a ) 2 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: e
Input: Problem: 3 / 4 of 1 / 2 of 2 / 5 of 5020 = ? 
Options: a ) 392 , b ) 229 , c ) 753 , d ) 493 , e ) 540
Answer: c
Input: Problem: if 5 x = 6 y and xy ≠ 0 , what is the ratio of 1 / 3 * x to 1 / 5 * y ? 
Options: a ) 25 / 6 , b ) 36 / 25 , c ) 2 , d ) 5 / 6 , e ) 25 / 36
Answer: c
Input: Problem: what is x if x + 5 y = 24 and y = 2 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 14
Answer: e
Input: Problem: what must be added to each term of the ratio 4 : 15 , so that it may become equal to 3 : 4 ? 
Options: a ) 18 , b ) 29 , c ) 39 , d ) 49 , e ) 59
Answer: b
Input: Problem: rs . 700 is divided among a , b , c so that a receives half as much as b and b half as much as c . then c ' s share is 
Options: a ) rs 429 , b ) rs 412 , c ) rs 400 , d ) rs 129 , e ) rs 122
Answer: c
Input: Problem: find the value of x : 3 x ^ 2 - 6 x + 3 = 0 
Options: a ) - 1 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: the largest four digit number which is a multiple of 8 , 10,12 and 15 is : 
Options: a ) 9960 , b ) 9950 , c ) 9940 , d ) 9930 , e ) 9920
Answer: a
Input: Problem: rahim bought 65 books for rs . 1160 from one shop and 50 books for rs . 920 from another . what is the average price he paid per book ? 
Options: a ) rs . 18.28 , b ) rs . 20 , c ) rs . 18.08 , d ) rs . 28.08 , e ) rs . 38.08
Answer: c
Input: Problem: what is the sum between the place values of two 3 ' s in the numeral 63130 
Options: a ) 3111 , b ) 300 , c ) 3029 , d ) 3030 , e ) 3003
Answer: d
Input: Problem: a , b and c have rs . 1000 between them , a and c together have rs . 700 and b and c rs . 600 . how much does c have ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500
Answer: c
Input: Problem: in an exam 80 % of the boys and 40 % of the girls passed . the number of girls who passed is 120 , which is 2 / 3 rd of the number of boys who failed . what is the total number of students who appeared for the exam ? 
Options: a ) 1200 , b ) 380 , c ) 3800 , d ) 2180 , e ) 3180
Answer: a
Input: Problem: log root ( 8 ) / log 8 is equal to 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6
Answer: a
Input: Problem: if x and y are integers , what is the least positive number of 24 x + 9 y ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 9
Answer: b
Input: Problem: what is the dividend . divisor 18 , the quotient is 9 and the remainder is 4 
Options: a ) a ) 166 , b ) b ) 148 , c ) c ) 150 , d ) d ) 153 , e ) e ) 158
Answer: a
Input: Problem: the average weight of a , b , c is 45 kg . the avgwgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b . 
Options: a ) 23 , b ) 43 , c ) 21 , d ) 31 , e ) 43
Answer: d
Input: Problem: the sum of three consecutive multiples of 3 is 99 . what is the largest number ? 
Options: a ) 36 , b ) 33 , c ) 30 , d ) 27 , e ) 24
Answer: a
Input: Problem: what will be the remainder when 17 ^ 200 is divided by 18 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
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 140 kg then find the average weight of all the 7 rounds ? 
Options: a ) 98.5 kgs , b ) 80 kgs , c ) 76.5 kgs , d ) 67.5 kgs , e ) 58.2 kgs
Answer: b
Input: Problem: ( 4300331 ) - ? = 2535618 
Options: a ) 1865113 , b ) 1775123 , c ) 1764713 , d ) 1675123 , e ) none of them
Answer: c
Input: Problem: a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 7.5 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ? 
Options: a ) 3 / 8 , b ) 1 / 2 , c ) 11 / 16 , d ) 23 / 32 , e ) 3 / 4
Answer: d
Input: Problem: the difference between a two - digit number and the number obtained by interchanging the digits is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? 
Options: a ) 4 , b ) 8 , c ) 16 , d ) 12 , e ) 14
Answer: b
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 . 870 ? 
Options: a ) rs . 700 , b ) rs . 780 , c ) rs . 750 , d ) rs . 1000 , e ) none of these
Answer: c
Input: Problem: the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8200 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? 
Options: a ) 2177 , b ) 2876 , c ) 4500 , d ) 5700 , e ) 6711
Answer: d
Input: Problem: harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? 
Options: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 7 , d ) 1 / 2 , e ) 4 / 7
Answer: b
Input: Problem: suppose f ( x ) is an odd function for which f ( x + 2 ) = f ( x ) for all x , and f ( x ) = x 2 for x 2 ( 0 , 1 ) . compute f ( - 3 / 2 ) + f ( 1 ) . 
Options: a ) - 1 , b ) - 1 / 2 , c ) - 1 / 4 , d ) 1 / 4 , e ) 1 / 2
Answer: d
Input: Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 3,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? 
Options: a ) 23,500 , b ) 15,500 , c ) 25,500 , d ) 26,500 , e ) 27,500
Answer: b
Input: Problem: what is the value of n if the sum of the consecutive odd integers from 1 to n equals 169 ? 
Options: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29
Answer: b
Input: Problem: let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 75 th number in this set ? 
Options: a ) 597 , b ) 608 , c ) 613 , d ) 616 , e ) 621
Answer: a
Input: Problem: if a - b = 10 and a ^ 2 + b ^ 2 = 150 , find the value of ab 
Options: a ) 10 , b ) 12 , c ) 25 , d ) 18 , e ) 19
Answer: c
Input: Problem: ratio of two numbers x and y is 7 : 9 . if x is increased by 20 % and y is increased by 33 then the new ratio becomes 1 : 5 . what is the ratio 2 y : ( x + 4 ) 
Options: a ) 18 : 11 , b ) 8 : 1 , c ) 11 : 18 , d ) 1 : 8 , e ) 1 : 1
Answer: a
Input: Problem: a man purchased 3 blankets @ rs . 100 each , 4 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 ) 600 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500
Answer: a
Input: Problem: what is the largest 4 digit number exactly divisible by 50 ? 
Options: a ) 4676 , b ) 4678 , c ) 9950 , d ) 9504 , e ) 9936
Answer: c
Input: Problem: 10 play kabadi , 25 play kho kho only , 5 play both gmaes . then how many in total ? 
Options: a ) 30 , b ) 35 , c ) 38 , d ) 40 , e ) 45
Answer: b
Input: Problem: what is the area inscribed by the lines y = 2 , x = 2 , y = 10 - x on an xy - coordinate plane ? 
Options: a ) a ) 8 , b ) b ) 10 , c ) c ) 12 , d ) d ) 14 , e ) e ) 18
Answer: e
Input: Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 1.50 + 1.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ? 
Options: a ) $ 2.50 , b ) $ 3.00 , c ) $ 3.50 , d ) $ 6.00 , e ) $ 5.00
Answer: d
Input: Problem: in a sample of associates at a law firm , 30 percent are second - year associates , and 60 percent are not first - year associates . what percentage of the associates at the law firm have been there for more than two years ? 
Options: a ) 10 , b ) 20 , c ) 30 % , d ) 40 , e ) 50
Answer: c
Input: Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50
Answer: d
Input: Problem: the average age of 7 men increases by 4 years when two women are included in place of two men of ages 26 and 30 years . find the average age of the women ? 
Options: a ) 42 , b ) 40 , c ) 30 , d ) 18 , e ) 11
Answer: a
Input: Problem: x varies inversely as square of y . given that y = 2 for x = 1 . the value of x for y = 6 will be equal to : 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 1 / 9 , e ) 1 / 3
Answer: d
Input: Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 16 . what is the value of x ? 
Options: a ) 20 , b ) 40 , c ) 80 , d ) 160 , e ) 320
Answer: c
Input: Problem: how many quarters are equal to 6 dollars ? 
Options: a ) 1 , b ) 8 , c ) 12 , d ) 9 , e ) 24
Answer: e
Input: Problem: find the value of x from logx 100 = 2 
Options: a ) 10 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: a
Input: Problem: if 2 x + y = 7 and x + 2 y = 5 , then 7 xy / 3 = ? 
Options: a ) a ) 1 , b ) b ) 2 , c ) c ) 7 , d ) d ) 18 / 5 , e ) e ) 4
Answer: c
Input: Problem: if all the 6 are replaced by 9 , then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by how much ? 
Options: a ) 330 , b ) 360 , c ) 380 , d ) 400 , e ) 420
Answer: a
Input: Problem: what is the least number to be added to 661 to make it a perfect square ? 
Options: a ) 13 , b ) 15 , c ) 20 , d ) 16 , e ) 45
Answer: b
Input: Problem: 1396 x 1396 
Options: a ) 1948816 , b ) 1981709 , c ) 18362619 , d ) 2031719 , e ) none of these
Answer: a
Input: Problem: on an order of 99 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of : 
Options: a ) 0.1 % , b ) 0.5 % , c ) 1 % , d ) 5 % , e ) 10 %
Answer: c
Input: Problem: rs 378 is divided among the 3 children such that 12 times of anusha is equal to 8 times of babu which is equal to 6 times of esha . how much the rupee anusha get ? 
Options: a ) 74 , b ) 84 , c ) 94 , d ) 104 , e ) 114
Answer: b
Input: Problem: at the end of the day , february 14 th , a florist had 150 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 20 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ? 
Options: a ) 50 % , b ) 25 % , c ) 250 % , d ) 75 % , e ) 80 %
Answer: a
Input: Problem: the total marks obtained by a student in physics , chemistry and mathematics is 150 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ? 
Options: a ) 75 , b ) 66 , c ) 55 , d ) 44 , e ) 12
Answer: a
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 $ 10000 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 ) $ 40000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Answer: a
Input: Problem: what least value must be given to * so that the number 451 * 603 is exactly divisible by 9 ? 
Options: a ) 2 , b ) 5 , c ) 7 , d ) 8 , e ) 9
Answer: e
Input: Problem: there are 4 runners on a track team who run an average of 4.5 seconds per 40 yards . if another runner joins their team who runs 4.3 seconds per 40 yards , what will the new average 40 yard time be ? 
Options: a ) 4.46 , b ) 4.39 , c ) 4.42 , d ) 4.49 , e ) 4.33
Answer: a
Input: Problem: if the operation € is defined for all x and y by the equation x € y = 2 * x * y , then 7 € ( 4 € 5 ) = 
Options: a ) 80 , b ) 120 , c ) 160 , d ) 240 , e ) 560
Answer: e
Input: Problem: in a certain diving competition , 5 judges score each dive on a scale from 1 to 10 . the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty . if a dive with a degree of difficulty of 3.2 received scores of 7.5 , 7.8 , 9.0 , 6.0 , and 8.5 , what was the point value of the dive ? 
Options: a ) 68.8 , b ) 73.6 , c ) 75.2 , d ) 76.16 , e ) 81.6
Answer: d
Input: Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.899 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? 
Options: a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) 0
Answer: e
Input: Problem: a telephone company needs to create a set of 3 - digit area codes . the company is entitled to use only digits 6 , 4 and 3 , which can be repeated . if the product of the digits in the area code must be even , how many different codes can be created ? 
Options: a ) 20 , b ) 22 , c ) 26 , d ) 24 , e ) 30
Answer: c
Input: Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 301 ? 
Options: a ) 10,100 , b ) 20,200 , c ) 22,650 , d ) 40,200 , e ) 45,150
Answer: b
Input: Problem: how many positive integers less than 27 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ? 
Options: a ) 27 , b ) 25 , c ) 24 , d ) 20 , e ) 22
Answer: e
Input: Problem: what is the sum of the odd integers from 35 to 65 , inclusive ? 
Options: a ) 800 , b ) 550 , c ) 555 , d ) 600 , e ) 605
Answer: a
Input: Problem: the average weight of a class is x pounds . when a new student weighing 70 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ? 
Options: a ) 26 , b ) 86 , c ) 88 , d ) 90 , e ) 92
Answer: a
Input: Problem: what is the smallest number which when increased by 3 is divisible by 9 , 35 , 25 and 21 ? 
Options: a ) 1572 , b ) 1782 , c ) 1992 , d ) 2122 , e ) 2342
Answer: a
Input: Problem: when positive integer x is divided by positive integer y , the result is 59.32 . what is the sum r of all possible 2 - digit remainders for x / y ? 
Options: a ) 560 , b ) 616 , c ) 672 , d ) 728 , e ) 784
Answer: b
Input: Problem: if x and y are positive integers and 12 x = 21 y what is the least possible value of xy ? 
Options: a ) 9 , b ) 28 , c ) 63 , d ) 84 , e ) 252
Answer: a
Input: Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value d of z - x ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: d
Input: Problem: the sum of the ages of 5 children born at the intervals of 3 years each is 80 years . what is the age of the youngest child ? 
Options: a ) 2 years , b ) 4 years , c ) 6 years , d ) 8 years , e ) 10 years
Answer: e
Input: Problem: a cricketer scored 136 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . 
Options: a ) 46.2 % , b ) 54.54 % , c ) 55.88 % , d ) 70 % , e ) none of these
Answer: c
Input: Problem: how many digits are required to number a book containing 260 pages ? 
Options: a ) 784 , b ) 672 , c ) 492 , d ) 372 , e ) 300
Answer: b
Input: Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 55 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) 
Options: a ) $ 15,360 , b ) $ 17,360 , c ) $ 25,560 , d ) $ 21,360 , e ) $ 27,360
Answer: c
Input: Problem: if 42.18 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 25 / 49 , what is the probability that the next one she draws will be pink ? 
Options: a ) 1 / 49 , b ) 2 / 7 , c ) 3 / 7 , d ) 16 / 49 , e ) 40 / 49
Answer: b
Input: Problem: there are 2 red chips and 3 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ? 
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 24 , d ) d ) 60 , e ) e ) 100
Answer: e
Input: Problem: a car travels uphill at 30 km / hr and downhill at 50 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? 
Options: a ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph
Answer: d
Input: Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes . if the university pays $ 0.40 for every box , and if the university needs 2.16 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? 
Options: a ) $ 120 , b ) $ 180 , c ) $ 310 , d ) $ 450 , e ) $ 640
Answer: b
Input: Problem: a retailer bought a hat at wholesale and marked it up 70 % to its initial price of $ 34 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: c
Input: Problem: if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 34 , 26 , 36 , 33 and 35 ? 
Options: a ) 33 , b ) 28 , c ) 27 , d ) 24 , e ) 23
Answer: b
Input: Problem: a student scored an average of 70 marks in 3 subjects : physics , chemistry and mathematics . if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70 , what are the marks in physics ? 
Options: a ) 130 , b ) 120 , c ) 110 , d ) 180 , e ) 150
Answer: c
Input: Problem: which number can we add to 859722 to get a number exactly divisible by 456 ? 
Options: a ) 294 , b ) 306 , c ) 318 , d ) 338 , e ) 362
Answer: a
Input: Problem: a sum of rs . 1360 has been divided among a , b and c such that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets . b ' s share is : 
Options: a ) rs . 120 , b ) rs . 160 , c ) rs . 240 , d ) rs . 300 , e ) rs . 500
Answer: c
Input: Problem: find the total number of prime factors in the expression ( 4 ) ^ 13 x ( 7 ) ^ 5 x ( 11 ) ^ 2 
Options: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 33
Answer: e
Input: Problem: a batch of cookies was divided amomg 6 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin 
Options: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 5 / 7 , e ) 9 / 7
Answer: d
Input: Problem: a set consists of 12 numbers , all are even or multiple of 5 . if 4 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: c
Input: Problem: this year , mbb consulting fired 6 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? 
Options: a ) 98.5 % , b ) 100.0 % , c ) 102.8 % , d ) 103.4 % , e ) 105.0 %
Answer: d
Input: Problem: how many integers between 2000 and 3000 that have distinct digits and increase from left to right ? 
Options: a ) 10 , b ) 20 , c ) 60 , d ) 120 , e ) 600
Answer: b
Input: Problem: find the value of 72516 x 9999 = m ? 
Options: a ) 456578972 , b ) 436567874 , c ) 725087484 , d ) 725117481 , e ) 357889964
Answer: c
Input: Problem: the arithmetic mean and standard deviation of a certain normal distribution are 17.5 and 2.5 , respectively . what value is exactly 2 standard deviations less than the mean ? 
Options: a ) 10.5 , b ) 11 , c ) 11.5 , d ) 12 , e ) 12.5
Answer: e
Input: Problem: 3 ltr of water is added with 11 ltr of a solution containing 42 % of alcohol in the water . the % of alcohol in the new mixture is ? 
Options: a ) 23 % , b ) 35 % , c ) 33 % , d ) 40 % , e ) 45 %
Answer: c
Input: Problem: a person has 100 $ in 10 $ and 5 $ bill . if the 5 $ bill quantity is twice that of 10 $ bill . what is quantity of 10 $ . 
Options: a ) 2 , b ) 6 , c ) 7 , d ) 8 , e ) 5
Answer: e
Input: Problem: if the average ( arithmetic mean ) of x + 1 , x + 3 , and x + 5 is 0 , then x = 
Options: a ) – 4 , b ) – 3 , c ) – 2 , d ) – 1 , e ) 0
Answer: b
Input: Problem: if a number p is prime , and 2 p + 5 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: a
Input: Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? 
Options: a ) 23,500 , b ) 24,500 , c ) 25,500 , d ) 26,500 , e ) 27,500
Answer: a
Input: Problem: in a river flowing at 2 km / hr , a boat travels 48 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time . 
Options: a ) 10 hours , b ) 12 hours , c ) 14 hours , d ) 18 hours , e ) none of these
Answer: d
Input: Problem: the sum of the present age of henry and jill is 40 . what is their present ages if 8 years ago henry was twice the age of jill ? 
Options: a ) 13 and 27 , b ) 16 and 24 , c ) 18 and 22 , d ) 11 and 29 , e ) none of these
Answer: b
Input: Problem: you and your friend spent a total of $ 11 for lunch . your friend spent $ 3 more than you . how much did your friend spend on their lunch ? 
Options: a ) $ 9 , b ) $ 3 , c ) $ 7 , d ) $ 6 , e ) $ 5
Answer: c
Input: Problem: in a group of ducks and cows , the total number of legs are 24 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 19
Answer: b
Input: Problem: a 6 - liter solution is 20 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? 
Options: a ) 2.4 , b ) 2.7 , c ) 3.0 , d ) 3.3 , e ) 3.6
Answer: e
Input: Problem: mary is expected to pay back a total sum of $ 819200 to her bank as mortgage . if she is expected to make a payment which is double of the previous months amount , how long will it take her to fully repay the loan if her initial payment was $ 400 . 
Options: a ) 13 , b ) 15 , c ) 12 , d ) 10 , e ) 11
Answer: e
Input: Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 65 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) 
Options: a ) $ 15,360 , b ) $ 17,360 , c ) $ 18,000 , d ) $ 21,960 , e ) $ 27,360
Answer: d
Input: Problem: if the price of a certain computer increased 30 percent from d dollars to 351 dollars , then 3 d = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 710
Answer: e
Input: Problem: diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 8 gallon of paint . how many statues can she paint ? 
Options: a ) 7 , b ) 20 , c ) 28 , d ) 14 , e ) 19
Answer: a
Input: Problem: how many positive integers less than 254 are multiple of 4 but not multiples of 6 ? 
Options: a ) 20 , b ) 31 , c ) 42 , d ) 43 , e ) 64
Answer: d
Input: Problem: on a certain date , pat invested $ 6,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 24,000 , in how many years total will the total value of the investment plus interest increase to $ 48,000 ? 
Options: a ) 15 , b ) 16 , c ) 18 , d ) 20 , e ) 24
Answer: a
Input: Problem: a card board of size 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box . find the total number of pins used . 
Options: a ) 135 , b ) 136 , c ) 137 , d ) 138 , e ) 139
Answer: b
Input: Problem: a box contains 12 pairs of shoes ( 24 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? 
Options: a ) 1 / 190 , b ) 1 / 23 , c ) 1 / 19 , d ) 1 / 10 , e ) 1 / 9
Answer: b
Input: Problem: the tax on a commodity is diminished by 15 % and its consumption increased by 10 % . the effect on revenue is ? 
Options: a ) 8.5 , b ) 6.5 , c ) 5.5 , d ) 5.6 , e ) 4.4
Answer: b
Input: Problem: what is the least common multiple of 15 , 18 , and 34 ? 
Options: a ) 60 , b ) 120 , c ) 240 , d ) 360 , e ) 1530
Answer: e
Input: Problem: jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 34 years old , and she stopped baby - sitting 10 years ago . what is the current age of the oldest person for whom jane could have baby - sat ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 25
Answer: e
Input: Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number h of employees who take the subway to work ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: when n is divided by 24 , the remainder is 4 . what is the remainder when 4 n is divided by 8 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 0 , e ) 7
Answer: d
Input: Problem: a cricketer scored 132 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets . 
Options: a ) 46.2 % , b ) 54.54 % , c ) 63 % , d ) 70 % , e ) none of these
Answer: b
Input: Problem: having scored 94 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? 
Options: a ) 28 , b ) 27 , c ) 26 , d ) 22 , e ) 24
Answer: d
Input: Problem: if | y + 7 | = 12 , what is the sum of all the possible values of y ? 
Options: a ) - 14 , b ) - 12 , c ) - 8 , d ) 8 , e ) 12
Answer: a
Input: Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 590 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? 
Options: a ) 23,500 , b ) 24,500 , c ) 25,500 , d ) 26,500 , e ) 27,500
Answer: c
Input: Problem: the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? 
Options: a ) 31 , b ) 36 , c ) 35 , d ) 53 , e ) 57
Answer: c
Input: Problem: n ^ ( n / 2 ) = 6 is true when n = 6 in the same way what is the value of n if n ^ ( n / 2 ) = 9 ? 
Options: a ) 16 , b ) 14 , c ) 18 , d ) 6 , e ) 9
Answer: e
Input: Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.00 . each pot cost 0.25 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? 
Options: a ) $ 1.75 , b ) $ 1.96 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Answer: b
Input: Problem: how many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 100
Answer: e
Input: Problem: of the female students at barkely university , 1 / 6 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 3 / 5 of the students are female , what fraction of all the students are on the honor roll ? 
Options: a ) 5 / 9 , b ) 3 / 15 , c ) 26 / 100 , d ) 43 / 60 , e ) 53 / 90
Answer: c
Input: Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 110 units raises the average to 55 units per day , what is the value of n ? 
Options: a ) 9 , b ) 11 , c ) 13 , d ) 15 , e ) 17
Answer: b
Input: Problem: each of the 59 members in lourdes school class is required to sign up for a minimum of one and a maximum of 3 academic clubs . the 3 clubs to choose from are the poetry club , the history club , and the writing club . a total of 22 students sign up for the poetry club , 27 students for the history club , and 28 students for the writing club . if 6 students sign up for exactly two clubs , how many students sign up for all 3 clubs ? 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Answer: c
Input: Problem: of 30 applicants for a job , 16 had at least 4 years ' experience , 21 had degrees , and 5 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? 
Options: a ) 12 , b ) 10 , c ) 9 , d ) 7 , e ) 5
Answer: a
Input: Problem: an exam consists of 8 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 90 % is a passing grade , what is the probability that brian passes ? 
Options: a ) 1 / 16 , b ) 37 / 256 , c ) 1 / 2 , d ) 219 / 256 , e ) 15 / 16
Answer: e
Input: Problem: if log 2 x - 5 log x + 6 = 0 , then what would the value / values of x be ? 
Options: a ) 5.3296 , b ) 6.3296 , c ) 7.3296 , d ) 8.3296 , e ) 9.3296
Answer: a
Input: Problem: what is the sum of all possible solutions to the equation √ 2 x ^ 2 − x − 9 = x + 1 ? 
Options: a ) - 2 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Answer: d
Input: Problem: how many 3 - digit positive integers are there , where each digit is positive , and no 3 adjacent digits are same ? 
Options: a ) 1236 , b ) 504 , c ) 4096 , d ) 4608 , e ) 6561
Answer: b
Input: Problem: what number is obtained by adding the units digits of 734 ^ 100 and 347 ^ 83 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: c
Input: Problem: mr . kramer , the losing candidate in a two - candidate election , received 942568 votes , which was exactly 30 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? 
Options: a ) 10 % , b ) 12 % , c ) 15 % , d ) 29 % , e ) 20 %
Answer: d
Input: Problem: the sum of two numbers is 29 and the difference of their squares is 145 . the difference between the number is 
Options: a ) 13 , b ) 5 , c ) 8 , d ) 11 , e ) 12
Answer: b
Input: Problem: a certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are 
Options: a ) 0 and 13 , b ) 0 and 14 , c ) 1 and 10 , d ) 1 and 9 , e ) 2 and 8
Answer: b
Input: Problem: the sum of the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive and the average ( arithmetic mean ) of the even integers from 0 to 50 inclusive ? 
Options: a ) 15 , b ) 125 , c ) 25 , d ) 75 , e ) 50
Answer: d
Input: Problem: a rope of which a calf is tied is increased from 10 m to 23 m , how much additional grassy ground shall it graze ? 
Options: a ) 1217 , b ) 1348.2 , c ) 1210 , d ) 1212 , e ) 1312
Answer: b
Input: Problem: how many digits are in ( 8 × 10 ^ 14 ) ( 10 × 10 ^ 10 ) ? 
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
Answer: c
Input: Problem: a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 35 more than that received by b , find the total amount shared by a , b and c . 
Options: a ) $ 1360 , b ) $ 1250 , c ) $ 1260 , d ) $ 1270 , e ) $ 1280
Answer: c
Input: Problem: what is the leastvalue of x . so that 23 x 57 is divisible by 3 ? 
Options: a ) 2 , b ) 5 , c ) 1 , d ) 6 , e ) 7
Answer: c
Input: Problem: how many integer values t are there for x such that 1 < 3 x + 5 < 17 ? 
Options: a ) two , b ) three , c ) four , d ) five , e ) six
Answer: d
Input: Problem: the average of marks obtained by 120 boys was 40 . 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 ) 125 , d ) 130 , e ) 145
Answer: c
Input: Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 6 ? 
Options: a ) 4 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 5 , e ) 8 / 7
Answer: d
Input: Problem: what is the least number which should be added to 2597 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? 
Options: a ) 17 , b ) 23 , c ) 26 , d ) 35 , e ) 43
Answer: e
Input: Problem: if 2994 ã · 14.5 = 177 , then 29.94 ã · 1.45 = ? 
Options: a ) 17.1 , b ) 17.3 , c ) 17.5 , d ) 17.7 , e ) 17.2
Answer: d
Input: Problem: the cricket team of 11 members is 26 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of the remainingplayers is 1 year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 18 , b ) 21 , c ) 23 , d ) 25 , e ) 27
Answer: c
Input: Problem: 40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 3 like all . how many people like apple ? 
Options: a ) 47 , b ) 46 , c ) 54 , d ) 58 , e ) 62
Answer: b
Input: Problem: the number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ? 
Options: a ) 27 , b ) 33 , c ) 54 , d ) 81 , e ) 162
Answer: c
Input: Problem: an alloy of copper and zinc contains copper and zinc in the ratio 9 : 6 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 9 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? 
Options: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2
Answer: d
Input: Problem: in a group of ducks and cows , the total number of legs are 40 more than twice the number of heads . find the total number of cows . 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Answer: e
Input: Problem: if 2 x + y = 7 and x + 2 y = 5 , then 5 xy / 3 = ? 
Options: a ) a ) 5 , b ) b ) 2 , c ) c ) 17 / 5 , d ) d ) 18 / 5 , e ) e ) 4
Answer: a
Input: Problem: a certain protective additive increases from 20 days to 25 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ? 
Options: a ) 25 % , b ) 33 1 / 3 % , c ) 50 % , d ) 66 2 / 3 % , e ) 75 %
Answer: a
Input: Problem: on average , the bottle - nosed dolphin comes up for air once every 3 minutes ; the beluga whale , a close relative , comes up for air on average once every 6 minutes . the number of times a bottle - nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period ? 
Options: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 150 %
Answer: e
Input: Problem: 35 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? 
Options: a ) 25 % , b ) 35 % , c ) 45 % , d ) 55 % , e ) 65 %
Answer: b
Input: Problem: how many words , with or without meaning , can be formed using all letters of the word orange using each letter exactly once ? 
Options: a ) 700 , b ) 720 , c ) 740 , d ) 760 , e ) 780
Answer: b
Input: Problem: barbata invests $ 2400 in the national bank at 4 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? 
Options: a ) 1200 , b ) 3000 , c ) 2400 , d ) 3600 , e ) 2450
Answer: c
Input: Problem: if 5 x = 6 y = z , what is x + y , in terms of z ? 
Options: a ) z / 2 , b ) 2 z , c ) z / 3 , d ) 11 z / 30 , e ) z / 9
Answer: d
Input: Problem: the average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 75 kg , b ) 65 kg , c ) 55 kg , d ) 85 kg , e ) 93 kg
Answer: e
Input: Problem: on dividing 12401 by a certain number , we get 76 as quotient and 13 as remainder . what is the divisor ? 
Options: a ) 163 , b ) 785 , c ) 852 , d ) 456 , e ) 852
Answer: a
Input: Problem: if x and y are integers such that x ^ 2 = 2 y and xy = 32 , then x – y = ? 
Options: a ) - 30 , b ) - 20 , c ) - 5 , d ) - 4 , e ) 20
Answer: d
Input: Problem: there has been successive increases of 25 % and then 15 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? 
Options: a ) 30 % , b ) 50 % , c ) 66.66 % , d ) 15 % , e ) 75 %
Answer: a
Input: Problem: if 522 x is a 3 digit no . with as a digit x . if the no . is divisible by 6 , what is the value of the digit x is ? 
Options: a ) 1 , b ) 6 , c ) 4 , d ) 7 , e ) 9
Answer: b
Input: Problem: a = { 0 , 1 , - 3 , 6 , - 8 , - 10 } b = { - 1 , 2 , - 4 , 7 , 6 , - 9 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab < 0 ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 5 / 13 , d ) 5 / 12 , e ) 1 / 2
Answer: d