Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: the average age of a group of n people is 14 years old . one more person aged 32 joins the group and the new average is 15 years old . what is the value of n ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Answer: e
Input: Problem: what is the units digit of ( 5 ! * 5 ! + 6 ! * 5 ! ) / 3 ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: e
Input: Problem: how many integers between 324,700 and 418,600 have tens digit 1 and units digit 3 ? 
Options: a ) 652 , b ) 827 , c ) 939 , d ) 1045 , e ) 1136
Answer: c
Input: Problem: if x ⁄ 2 + 9 ⁄ 4 = 5 ⁄ 4 , what is the value of x ? 
Options: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2
Answer: a
Input: Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 25 . what is the value of x ? 
Options: a ) 25 , b ) 50 , c ) 75 , d ) 100 , e ) 125
Answer: d
Input: Problem: at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢ ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: in the coordinate plane , points ( x , 5 ) and ( 7 , y ) are on line k . if line k passes through the origin and has slope 5 / 7 , then x + y = 
Options: a ) 13 , b ) 14 , c ) 9 , d ) 10 , e ) 12
Answer: e
Input: Problem: if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 14 . what is the value of f ( 6 ) ? 
Options: a ) 3 , b ) 0 , c ) 1 , d ) 2 , e ) 4
Answer: a
Input: Problem: the price of a certain painting increased by 25 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? 
Options: a ) 109 % , b ) 106.25 % , c ) 120 % , d ) 115 % , e ) 110 %
Answer: b
Input: Problem: what is the remainder when 1271 * 1275 * 1277 * 1285 is divided by 12 ? 
Options: a ) 0 , b ) 1 , c ) 11 , d ) 9 , e ) 7
Answer: d
Input: Problem: if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 208 , what is their sum ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: a
Input: Problem: a man purchased 1 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? 
Options: a ) 278 , b ) 277 , c ) 278 , d ) 450 , e ) 650
Answer: e
Input: Problem: the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 150 . what is the number of frogs in the pond ? 
Options: a ) 148 , b ) 154 , c ) 156 , d ) 144 , e ) none
Answer: b
Input: Problem: if the least common addition of two prime numbers x and y is 10 , where x > y , then the value of 2 x + y is 
Options: a ) 7 , b ) 9 , c ) 14 , d ) 17 , e ) 21
Answer: d
Input: Problem: a man can row 3.6 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: c
Input: Problem: maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability e , that a book selected at random is either a hard cover book or a chemistry book ? 
Options: a ) 1 / 10 , b ) 3 / 20 , c ) 1 / 5 , d ) 1 / 4 , e ) 9 / 20
Answer: e
Input: Problem: two digits in brother ' s age are the same as the digit in the sister ' s age , but in reverse order . in 20 9 years brother will be twice as old as sister will be then . what is the difference in their current age ? 
Options: a ) 34 , b ) 50 , c ) 32 , d ) 28 , e ) 45
Answer: e
Input: Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent f of the distribution is less than m + d ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Answer: d
Input: Problem: the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidateswho passed the examination is ? 
Options: a ) 50 , b ) 90 , c ) 100 , d ) 120 , e ) 140
Answer: c
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 12 years and that of the other 9 students is 16 years . the age of the 15 th student is ? 
Options: a ) 11 years , b ) 17 years , c ) 21 years , d ) 14 years , e ) 12 years
Answer: c
Input: Problem: solving a linear equation with several occurrences of the variable , solve for w . simplify answer as much as possible . ( 7 w + 6 ) / 6 + ( 9 w + 8 ) / 2 = 22 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 240 6 ounces servings of orange juice ? 
Options: a ) a ) 25 , b ) b ) 34 , c ) c ) 50 , d ) d ) 67 , e ) e ) 30
Answer: e
Input: Problem: solve the equation for x : 21 ( x + y ) + 5 = 21 ( - x + y ) + 47 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 2 , e ) 1
Answer: e
Input: Problem: a and b start a business jointly . a invests rs 16000 for 8 month and b remains in the business for 4 months . out of total profit , b claims 2 / 7 of the profit . how much money was contributed by b ? 
Options: a ) 12800 , b ) 13000 , c ) 11500 , d ) 12500 , e ) 12000
Answer: a
Input: Problem: if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 740 will be : 
Options: a ) rs . 300 , b ) rs . 200 , c ) rs . 240 , d ) rs . 350 , e ) none of these
Answer: b
Input: Problem: if a ( a - 2 ) = 2 and b ( b - 2 ) = 2 , where a ≠ b , then a + b = 
Options: a ) − 1 , b ) − 2 , c ) 4 , d ) 46 , e ) 48
Answer: a
Input: Problem: if josh , doug , and brad have a total of $ 68 between them , and josh has two times as much money as brad but only 3 - fourths as much as doug , how much money does doug have ? 
Options: a ) $ 8 , b ) $ 9 , c ) $ 27 , d ) $ 32 , e ) $ 36
Answer: d
Input: Problem: for all numbers a and b , the operation is defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 20 , then x = 
Options: a ) – 15 , b ) – 6 , c ) 3 , d ) 6 , e ) - 1
Answer: e
Input: Problem: what will be the vulgar fraction of 0.70 
Options: a ) 3 / 5 , b ) 7 / 10 , c ) 3 / 2 , d ) 3 / 7 , e ) 3 / 8
Answer: b
Input: Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation f of the mean , what percent of the distribution is less than m + f ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Answer: d
Input: Problem: in a division sum , the quotient is 20 , the divisor 66 and the remainder 55 , find the dividend ? 
Options: a ) 1375 , b ) 1376 , c ) 1875 , d ) 1365 , e ) 1345
Answer: a
Input: Problem: ( √ 27 + √ 243 ) / √ 48 = ? 
Options: a ) 2 √ 2 , b ) 2 √ 3 , c ) 3 √ 2 , d ) 3 √ 3 , e ) 3
Answer: e
Input: Problem: in a competitive examination in a state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ? 
Options: a ) 8000 , b ) 7540 , c ) 6500 , d ) 9100 , e ) 6000
Answer: a
Input: Problem: a positive number x is multiplied by 8 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? 
Options: a ) 9 / 4 , b ) 3 / 2 , c ) 8 / 3 , d ) 2 / 3 , e ) 1 / 2
Answer: c
Input: Problem: what is the least number by which 16800 must be divided to get a number perfect square 
Options: a ) 21 , b ) 42 , c ) 24 , d ) 40 , e ) 45
Answer: b
Input: Problem: 1 ÷ [ 1 + 1 ÷ { 1 + 1 ÷ ( 1 ÷ 1 ) } ] = ? 
Options: a ) 5 / 3 , b ) 4 / 3 , c ) 2 / 3 , d ) 1 / 3 , e ) 1 / 5
Answer: c
Input: Problem: the average of 10 consecutive odd numbers is 22 . what is the sum of the first 3 numbers ? 
Options: a ) 13 , b ) 45 , c ) 17 , d ) 220 , e ) 90
Answer: b
Input: Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 400 that is both a prime and a palindrome . what is the sum of the digits of p ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: mysoon collects glass ornaments . 10 more than 1 / 6 of the ornaments in her collection are handmade , and 1 / 2 of the handmade ornaments are antiques . if 1 / 3 of the ornaments in her collection are handmade antiques , how many ornaments are in her collection ? 
Options: a ) 20 , b ) 60 , c ) 108 , d ) 144 , e ) 180
Answer: a
Input: Problem: in a certain school , 20 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 24 . what is the total number of students in the school ? 
Options: a ) 50 , b ) 80 , c ) 120 , d ) 150 , e ) 100
Answer: a
Input: Problem: simplify : 250 x 250 - 100 x 100 
Options: a ) 761200 , b ) 761400 , c ) 52500 , d ) 761500 , e ) none of them
Answer: c
Input: Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 59000 ? 
Options: a ) 81000 , b ) 81007 , c ) 74671.875 , d ) 81066 , e ) 81022
Answer: c
Input: Problem: how many positive integers less than 200 are there such that they are multiples of 13 or multiples of 14 ? 
Options: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29
Answer: d
Input: Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? 
Options: a ) 12 % , b ) 26 % , c ) 29 % , d ) 30 % , e ) 60 %
Answer: b
Input: Problem: all the students of class are told to sit in circle shape . here the boy at the 10 th position is exactly opposite to 40 th boy . total number of boys in the class ? 
Options: a ) 50 , b ) 45 , c ) 60 , d ) 55 , e ) 53
Answer: c
Input: Problem: what is the smallest integer n for which 25 ^ n > 5 ^ 12 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: b
Input: Problem: in a certain game of dice , the player ’ s score is determined as a sum of three throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if jim plays this game against 24 other players , what is the probability of the minimum score that will guarantee jim some monetary payoff ? 
Options: a ) 1 / 216 , b ) 1 / 221 , c ) 1 / 212 , d ) 1 / 84 , e ) 1 / 42
Answer: a
Input: Problem: if y > 0 , ( 6 y ) / 20 + ( 3 y ) / 10 is what percent of y ? 
Options: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %
Answer: c
Input: Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 47 kg , then the weight of b is : 
Options: a ) 39 kg , b ) 32 kg , c ) 33 kg , d ) 34 kg , e ) none of these
Answer: a
Input: Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90000 . the 75 associates have an average salary of $ 30000 . what is the average salary for the company ? 
Options: a ) $ 35,000 , b ) $ 40,000 , c ) $ 55,000 , d ) $ 65,000 , e ) $ 75,000
Answer: b
Input: Problem: line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 6 ) . what is the slope of line m ? 
Options: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) undefined
Answer: b
Input: Problem: 3 , 4.5 , 6.75 , 10.13 , 15.18 , ( . . . ) 
Options: a ) 60 , b ) 60.75 , c ) 22.78 , d ) 32.52 , e ) 88
Answer: c
Input: Problem: which is greater than 16 
Options: a ) 1.6 , b ) 66 , c ) 6 , d ) - 6 , e ) 6.1
Answer: b
Input: Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 64 , how many questions did student a answer correctly ? 
Options: a ) 55 , b ) 60 , c ) 73 , d ) 82 , e ) 88
Answer: e
Input: Problem: a , b and c are employed to do apiece of work for rs . 529 . a and c are supposed to finish 19 / 23 of the work together . how much shall be paid to b ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 16
Answer: c
Input: Problem: a one - foot stick is marked in 1 / 2 and 1 / 4 portion . how many total markings will there be , including the end points ? 
Options: a ) 8 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: what is the smallest number which when diminished by 16 , is divisible 4 , 6 , 8 and 10 ? 
Options: a ) 136 , b ) 192 , c ) 198 , d ) 122 , e ) 142
Answer: a
Input: Problem: how much is 80 % of 60 is greater than 4 / 5 of 25 ? 
Options: a ) 15 , b ) 28 , c ) 16 , d ) 12 , e ) 73
Answer: b
Input: Problem: ifaequals the sum of the even integers from 2 to 60 , inclusive , andbequals the sum of the odd integers from 1 to 59 , inclusive , what is the value of a - b ? 
Options: a ) 1 , b ) 10 , c ) 30 , d ) 20 , e ) 21
Answer: c
Input: Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 120 ? 
Options: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30
Answer: e
Input: Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 5 k , what is one possible value for k ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 8
Answer: d
Input: Problem: in an examination , 25 % of total students failed in hindi , 50 % failed in english and 25 % in both . the percentage of these who passed in both the subjects is : 
Options: a ) 23 , b ) 37 , c ) 28 , d ) 40 , e ) 50
Answer: e
Input: Problem: if a ' s height is 45 % less than that of b , how much percent b ' s height is more than that of a ? 
Options: a ) 66.66 % , b ) 81.81 % , c ) 66.766 % , d ) 86.66 % , e ) 66.65 %
Answer: b
Input: Problem: how many positive integers between 1 and 100 are there such that they are multiples of 15 ? 
Options: a ) 5 , b ) 4 , c ) 7 , d ) 1 , e ) 6
Answer: e
Input: Problem: the tax on a commodity is diminished by 27 % and its consumption increased by 16 % . the effect on revenue is ? 
Options: a ) 18 , b ) 16 , c ) 5 , d ) 15 , e ) 4
Answer: d
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 18 . if n / j = 134.08 , what is value of j ? 
Options: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 225
Answer: e
Input: Problem: the sum of the even numbers between 1 and n is 85 * 86 , where n is an odd number , then n = ? 
Options: a ) 163 , b ) 171 , c ) 179 , d ) 185 , e ) 191
Answer: b
Input: Problem: a family pays $ 700 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ? 
Options: a ) $ 1,100 , b ) $ 1,300 , c ) $ 1,400 , d ) $ 1,800 , e ) $ 2,200
Answer: b
Input: Problem: in a class of 30 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? 
Options: a ) a ) 47 , b ) b ) 45.6 , c ) c ) 44 , d ) d ) 48.5 , e ) e ) 49
Answer: d
Input: Problem: sandy bought 65 books for $ 1480 from one shop and 55 books for $ 920 from another shop . what is the average price that sandy paid per book ? 
Options: a ) $ 38 , b ) $ 18 , c ) $ 99 , d ) $ 27 , e ) $ 20
Answer: e
Input: Problem: the average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor . the weight of the new sailor is ? 
Options: a ) 57 kg , b ) 60 kg , c ) 64 kg , d ) 62 kg , e ) 66 kg
Answer: c
Input: Problem: find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number . 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 12 , e ) 15
Answer: a
Input: Problem: ( 178 % of 1265 ) ÷ 5.96 = ? 
Options: a ) 125 , b ) 175 , c ) 225 , d ) 375 , e ) 524
Answer: d
Input: Problem: a green grocer received a boxful of tomatoes and on opening the box found that several had gone bad . he then counted them up so that he could make a formal complaint and found that 68 were mouldy , which was 16 per cent of the total contents of the box . how many tomatoes were in the box ? 
Options: a ) 336 , b ) 425 , c ) 275 , d ) 235 , e ) 689
Answer: b
Input: Problem: total 85 matches are conducted in knockout match type . how many players will be participated in that tournament ? 
Options: a ) 85 , b ) 81 , c ) 53 , d ) 82 , e ) 84
Answer: e
Input: Problem: if x is an integer and 2.134 × 10 ^ x is less than 210,000 , what is the greatest possible value for x ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: d
Input: Problem: of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 1 / 2 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? 
Options: a ) 1 / 15 , b ) 1 / 5 , c ) 9 / 20 , d ) 1 / 3 , e ) 2 / 5
Answer: c
Input: Problem: the average monthly salary of 20 employees in an organisation is rs . 1600 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? 
Options: a ) 3700 , b ) 3890 , c ) 88798 , d ) 2789 , e ) 2891
Answer: a
Input: Problem: in the coordinate plane a slope of the line k is 3 / 2 times the x - intercept of the line k . what is the y - intercept of the line k ? 
Options: a ) - 4 , b ) 4 , c ) - 1 / 4 , d ) 1 / 4 , e ) 2 / 3
Answer: e
Input: Problem: if 4 x = 8 y = 12 z , then what is a possible sum of positive integers x , y , and z ? 
Options: a ) 52 , b ) 58 , c ) 84 , d ) 122 , e ) 180
Answer: e
Input: Problem: when positive integer m is divided by positive integer n , the remainder is 12 . if m / n = 24.2 , what is the value of n ? 
Options: a ) 120 , b ) 60 , c ) 30 , d ) 24 , e ) 12
Answer: b
Input: Problem: a certain taxi company charges $ 2.80 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? 
Options: a ) 15.6 , b ) 16.0 , c ) 18.4 , d ) 18.7 , e ) 19.1
Answer: c
Input: Problem: 5358 x 53 = ? 
Options: a ) 272258 , b ) 272358 , c ) 283974 , d ) 274258 , e ) 274358
Answer: c
Input: Problem: if x is 20 percent more than y and y is 60 percent less than z , then x is what percent of z ? 
Options: a ) 500 % , b ) 48 % , c ) 500 / 3 % , d ) 125 % , e ) 60 %
Answer: b
Input: Problem: in a bus left side are 15 seats available , 3 few seats in right side because in rear exit door . each seat hold 3 people . in addition , there is a seat back can sit 9 people all together . how many people can sit in a bus ? 
Options: a ) 52 , b ) 49 , c ) 95 , d ) 90 , e ) 66
Answer: d
Input: Problem: what should be the least number to be added to the 51234 number to make it divisible by 9 ? 
Options: a ) 6 , b ) 4 , c ) 3 , d ) 5 , e ) 2
Answer: c
Input: Problem: among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 15 % of listco ' s sales staff . listco employs 90 level - 1 employees , 30 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ? 
Options: a ) 46 , b ) 42 , c ) 56 , d ) 32 , e ) 40
Answer: e
Input: Problem: when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 39 , what is the remainder when k is divided by 7 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 7
Answer: d
Input: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 1 ) , what is the value of w ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Answer: a
Input: Problem: what is value of ( ( 2 ^ 5 ) * ( 9 ^ 2 ) ) / ( ( 8 ^ 2 ) * ( 3 ^ 5 ) ) = ? 
Options: a ) 1 / 6 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 4
Answer: a
Input: Problem: diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ? 
Options: a ) 10 , b ) 20 , c ) 28 , d ) 14 , e ) 19
Answer: d
Input: Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 3 . 
Options: a ) 8 , b ) 5 , c ) 11 , d ) 3 , e ) 4
Answer: d
Input: Problem: when positive integer x is divided by 10 , the quotient is y and the remainder is 3 . when 2 x is divided by 7 , the quotient is 3 y and the remainder is 1 . what is the value of 11 y – x ? 
Options: a ) 2 , b ) - 2 , c ) 3 , d ) - 3 , e ) 4
Answer: a
Input: Problem: the average age of 10 members of a committee is the same as it was 4 years ago , because an old member has been replaced by a young member . find how much younger is the new member ? 
Options: a ) 35 , b ) 15 , c ) 40 , d ) 52 , e ) 14
Answer: c
Input: Problem: a train starts full of passengers . at the first station , it drops one - third of the passengers and takes 280 more . at the second station , it drops one - half of the new total and takes 12 more . on arriving at the third station , it is found to have 248 passengers . find the number of passengers in the beginning . 
Options: a ) 240 , b ) 248 , c ) 280 , d ) 288 , e ) 290
Answer: d
Input: Problem: the average age of 31 students in a group is 16 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 ) 48 , d ) 45 , e ) 57
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 ( 8 / 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 ) 5 / 7 , e ) 3 / 4
Answer: e
Input: Problem: the circulation for magazine p in 1961 was 4 times the average ( arithmetic mean ) yearly circulation for magazine p for the years 1962 - 1970 . what is the ratio of the circulation in 1961 to the total circulation during 1961 - 1970 for magazine p ? 
Options: a ) 2 / 7 , b ) 5 / 7 , c ) 3 / 7 , d ) 4 / 7 , e ) 1 / 7
Answer: a
Input: Problem: s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits t are in s ( 99 ) ? 
Options: a ) t = 350 , b ) t = 353 , c ) t = 354 , d ) t = 356 , e ) 357
Answer: b
Input: Problem: on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 5 ? 
Options: a ) 10 ^ 2 , b ) 10 ^ 3 , c ) 10 ^ 4 , d ) 10 ^ 5 , e ) 10 ^ 6
Answer: a
Input: Problem: how many multiples of 9 are there between 1 and 50 , exclusive ? 
Options: a ) 5 , b ) 4 , c ) 6 , d ) 7 , e ) 3
Answer: a
Input: Problem: 6 persons in an organization including x and y were to be divided in two groups of 3 members each . the total number of groups containing both x and y is what fraction of the total number of groups which can be formed ? 
Options: a ) 1 / 4 , b ) 1 / 70 , c ) 3 / 14 , d ) 3 / 10 , e ) 11 / 14
Answer: d
Input: Problem: a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ? 
Options: a ) 1 / 7 , b ) 1 / 6 , c ) 1 / 5 , d ) 1 / 4 , e ) 1 / 3
Answer: a
Input: Problem: if 3 ^ x * 4 ^ y = 1 , 594,323 and x – y = 13 , then x = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: d
Input: Problem: the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? 
Options: a ) 14 % , b ) 23 % , c ) 30 % , d ) 50 % , e ) 100 %
Answer: a
Input: Problem: an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had . 
Options: a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 130
Answer: b
Input: Problem: there are some people in party , 1 / 3 rd left the party . then 2 / 5 th of the remaining left the party , then 2 / 3 rd of the remaining left the party . at last 10 were remaining . how many people were in total ? 
Options: a ) 45 , b ) 27 , c ) 28 , d ) 26 , e ) 75
Answer: e
Input: Problem: what is the tenth digit of ( 4 ! * 3 ! + 4 ! * 2 ! ) / 3 ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 1 , e ) 0
Answer: c
Input: Problem: if a person walks at 10 km / hr instead of 5 km / hr , he would have walked 20 km more . the actual distance traveled by him is ? 
Options: a ) 50 km , b ) 76 km , c ) 20 km , d ) 16 km , e ) 97 km
Answer: c
Input: Problem: one - tenth of the students at a nursery school are 4 years old or older . if 20 students have not yet reached their third birthday , and a total of 25 students are not between 3 years old and 4 years old , how many children are in the nursery school ? 
Options: a ) 51 , b ) 20 , c ) 40 , d ) 50 , e ) 55
Answer: d
Input: Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ? 
Options: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %
Answer: c
Input: Problem: a trail mix company keeps costs down by employing the peanuts : cashews : almonds ratio of 10 : 4 : 1 in each bag of up to 75 total nuts . what is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts ? 
Options: a ) 40 % , b ) 48 % , c ) 49 % , d ) 50 % , e ) 58 %
Answer: b
Input: Problem: in a group of ducks and cows , the total number of legs are 22 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 15 , e ) 16
Answer: a
Input: Problem: which number need to add to 7844213 to get a number exactly divisible by 549 ? 
Options: a ) 418 , b ) 148 , c ) 448 , d ) 248 , e ) 348
Answer: c
Input: Problem: a sum of rs . 427 is to be divided among a , b and c in such a way that 3 times a ’ s share , 4 times b ’ s share and 7 times c ’ s share are all equal . the share of c is ? 
Options: a ) 23 , b ) 87 , c ) 84 , d ) 26 , e ) 19
Answer: c
Input: Problem: if a and b are positive integers and ( 2 ^ a ) ^ b = 2 ^ 5 , what is the value of 2 ^ a * 2 ^ b ? 
Options: a ) 8 , b ) 64 , c ) 16 , d ) 32 , e ) 4
Answer: b
Input: Problem: set s consists of integers { 13 , 57 } . if two numbers are chosen from set s at random , what is the probability that the product of 2 numbers is more than 15 ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 1 / 6 , e ) 2 / 3
Answer: b
Input: Problem: a gambler bought $ 5,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? 
Options: a ) $ 4,040 , b ) $ 4,120 , c ) $ 1,960 , d ) $ 4,920 , e ) $ 1,400
Answer: b
Input: Problem: find 96 × × 97 
Options: a ) 91 / 198 , b ) 91 / 12 , c ) 91 / 13 , d ) 91 / 10 , e ) 91 / 11
Answer: b
Input: Problem: if y is 70 % greater than x , than x is what % less than y ? 
Options: a ) 18.7 , b ) 25.5 , c ) 33.3 , d ) 41.2 , e ) 54.4
Answer: d
Input: Problem: a seller of used cars has 10 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 ) 15 , d ) 14 , e ) 16
Answer: c
Input: Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length r of a cube whose surface area is equal to 6 z ? 
Options: a ) r = 16 , b ) r = 8 √ 2 , c ) r = 8 , d ) r = 2 √ 2 , e ) ( √ 2 ) / 3
Answer: d
Input: Problem: one half of a two digit number exceeds its one third by 9 . what is the sum of the digits of the number ? 
Options: a ) a ) 3 , b ) b ) 5 , c ) c ) 7 , d ) d ) 9 , e ) e ) 11
Answer: d
Input: Problem: a trained covered x km at 30 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . 
Options: a ) 22.5 , b ) 99 , c ) 24 , d ) 66 , e ) 887
Answer: a
Input: Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 20 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of 
Options: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined
Answer: a
Input: Problem: how many different positive integers exist between 10 ^ 4 and 10 ^ 5 , the sum of whose digits is equal to 2 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6 , x ^ 4 + ( 1 / x ^ 4 ) = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 34 , e ) 15
Answer: d
Input: Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 10 % . if in july , a mixture containing equal quantities of tea and coffee costs 50 / kg . how much did a kg of coffee cost in june ? 
Options: a ) 45 , b ) 40 , c ) 35 , d ) 47.61 , e ) 30
Answer: d
Input: Problem: what is the total cost of 2 sandwiches at $ 3.49 each and 4 sodas at $ 0.87 each ? 
Options: a ) $ 3.36 , b ) $ 6.85 , c ) $ 8.46 , d ) $ 10.46 , e ) $ 11.85
Answer: d
Input: Problem: if the average of 12 x and 8 y is greater than 200 , and x is twice y , what is the least integer value of x ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 25 , e ) 35
Answer: d
Input: Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnuts purchased if you paid $ 25 ? 
Options: a ) 45 , b ) 49 , c ) 53 , d ) 57 , e ) 61
Answer: b
Input: Problem: the average ( arithmetic mean ) of the 5 positive integers k , m , r , s , and t is 12 , and k < m < r < s < t . if t is 20 , what is the greatest possible value of the median of the 5 integers ? 
Options: a ) 16 , b ) 18 , c ) 19 , d ) 20 , e ) 22
Answer: d
Input: Problem: a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 20 miles per gallon , and from town b to town c , the car averaged 25 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? 
Options: a ) 20 , b ) 18 , c ) 21.4 , d ) 16 , e ) 10
Answer: c
Input: Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 45 only . men â € ™ s wages are ? 
Options: a ) 6 rs , b ) 7 rs , c ) 8 rs , d ) 4 rs , e ) 3 rs
Answer: e
Input: Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 80,000 as total savings , how much has he saved in public provident fund ? 
Options: a ) 81000 , b ) 85000 , c ) 75000 , d ) 72000 , e ) 77000
Answer: d
Input: Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 5 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ? 
Options: a ) 5 , b ) 6 , c ) 10 , d ) 15 , e ) 20
Answer: c
Input: Problem: two employees x and y are paid a total of rs . 750 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? 
Options: a ) s . 200.90 , b ) s . 250.90 , c ) s . 290.90 , d ) s . 300.90 , e ) s . 340.90
Answer: e
Input: Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 14 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: ( x ) + 1315 + 9211 - 1569 = 11901 . calculate the value of x 
Options: a ) 87801 , b ) 87811 , c ) 87862 , d ) 11803 , e ) 87803
Answer: e
Input: Problem: a student got twice as many sums wrong as he got right . if he attempted 27 sums in all , how many did he solve correctly ? 
Options: a ) 12 , b ) 16 , c ) 18 , d ) 9 , e ) 12
Answer: d
Input: Problem: what is the tens digit of 6 ^ 18 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: a
Input: Problem: if â € œ * â €  is called â € œ + â €  , â € œ / â €  is called â € œ * â €  , â € œ - â €  is called â € œ / â €  , â € œ + â €  is called â € œ - â €  . 120 / 40 â € “ 30 * 20 - 5 = ? 
Options: a ) 178.5 , b ) 156.6 , c ) 160.4 , d ) 163.6 , e ) 164.1
Answer: d
Input: Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 20 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 ) 27 % , e ) 37 %
Answer: e
Input: Problem: the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 19 . what is the last numbers ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 7
Answer: d
Input: Problem: last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 40 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? 
Options: a ) $ 781 , b ) $ 755 , c ) $ 765 , d ) $ 773 , e ) $ 775
Answer: a
Input: Problem: how many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18 ? 
Options: a ) 36 , b ) 37 , c ) 38 , d ) 39 , e ) 40
Answer: c
Input: Problem: a clothing store purchased a pair of pants for $ 90 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price . after some time a clothing store owner decided to decrease the selling price by 20 percent . what was the clothing store ' s gross profit on this sale ? 
Options: a ) $ 14 , b ) $ 5 , c ) $ 10 , d ) $ 6 , e ) $ 8
Answer: d
Input: Problem: the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 160 runs and his average excluding these two innings is 58 runs , find his highest score . 
Options: a ) 184 , b ) 367 , c ) 269 , d ) 177 , e ) 191
Answer: a
Input: Problem: the sum of the numbers is 550 . if the first number be twice the second and third number be one - third of the first , then the second number is : 
Options: a ) 48 , b ) 150 , c ) 72 , d ) 84 , e ) 27
Answer: b
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 34 was wrongly taken as 23 . the corrected new mean is : 
Options: a ) 36.0 , b ) 36.5 , c ) 36.24 , d ) 36.12 , e ) 36.22
Answer: e
Input: Problem: √ ( 14 ) ^ 2 
Options: a ) 7 , b ) 14 , c ) 49 , d ) 21 , e ) none of these
Answer: b
Input: Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 48 inches by 60 inches . if the measurement of each soap box is 8 inches by 6 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? 
Options: a ) 210 , b ) 252 , c ) 280 , d ) 320 , e ) 300
Answer: e
Input: Problem: a family x went for a vacation . unfortunately it rained for 13 days when they were there . but whenever it rained in the mornings , they had clear afternoons and vice versa . in all they enjoyed 11 mornings and 12 afternoons . how many days did they stay there totally ? 
Options: a ) 16 , b ) 18 , c ) 20 , d ) 13 , e ) 14
Answer: b
Input: Problem: village p ’ s population is 1200 greater than village q ' s population . if village q ’ s population were reduced by 800 people , then village p ’ s population would be 6 times as large as village q ' s population . what is village q ' s current population ? 
Options: a ) 1050 , b ) 1100 , c ) 1150 , d ) 1200 , e ) 1250
Answer: d
Input: Problem: after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? 
Options: a ) 5 , b ) 4 , c ) 7 , d ) 3 , e ) 8
Answer: d
Input: Problem: the mean proportional between 234 and 104 is 
Options: a ) 12 , b ) 39 , c ) 54 , d ) 156 , e ) none
Answer: d
Input: Problem: if the operation x is defined by a x b = ( b - a ) ^ 2 / a ^ 2 for all numbers a and b , and a ≠ 0 , then − 1 x ( 1 x − 1 ) = 
Options: a ) − 1 , b ) 0 , c ) 1 , d ) 25 , e ) 29
Answer: d
Input: Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.4 for x = 0.6 ? 
Options: a ) − 0.3 , b ) 0 , c ) 0.4 , d ) 1.08 , e ) 2.46
Answer: c
Input: Problem: how many 7 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 1234321 . 
Options: a ) 100 , b ) 610 , c ) 729 , d ) 9000 , e ) 1000
Answer: d
Input: Problem: on dividing 13698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? 
Options: a ) 743 , b ) 154 , c ) 852 , d ) 741 , e ) 785
Answer: b
Input: Problem: 617 x 617 + 583 x 583 = ? 
Options: a ) 720578 , b ) 80578 , c ) 80698 , d ) 81268 , e ) none of them
Answer: a
Input: Problem: in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 ? 
Options: a ) 12 / 5 , b ) 5 / 12 , c ) 6 / 4 , d ) 2 / 3 , e ) 4 / 7
Answer: b
Input: Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 45 , what is the greatest possible value of b × a ? 
Options: a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 25
Answer: d
Input: Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 2 ? 
Options: a ) 0.0016 , b ) 0.0625 , c ) 0.16 , d ) 0.25 , e ) 0.5
Answer: b
Input: Problem: if 48 machine can finish a job in 80 days , then how many more machines would be needed to finish the job in one - fifth less time ? 
Options: a ) a . 4 , b ) b . 8 , c ) c . 10 , d ) d . 12 , e ) e . 16
Answer: d
Input: Problem: when n is divided by 12 , the remainder is 2 . what is the remainder when 4 n is divided by 5 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: if 4 a = 5 b = 30 , then 40 ab = 
Options: a ) 900 , b ) 1800 , c ) 2250 , d ) 1650 , e ) 1250
Answer: b
Input: Problem: n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 12 ? 
Options: a ) 12 , b ) 6 , c ) 14 , d ) 16 , e ) 10
Answer: a
Input: Problem: a number a is squared and then multiplied by negative 6 . the result of this operation is equal to 3 times the sum of fourth times a and two . what is one possible value of a ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5
Answer: d
Input: Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 90 / kg . how much did a kg of coffee cost in june ? 
Options: a ) 50 , b ) 60 , c ) 80 , d ) 90 , e ) 120
Answer: d
Input: Problem: how many times digit 5 is used while writing numbers from 100 to 1000 ? 
Options: a ) 648 , b ) 300 , c ) 252 , d ) 225 , e ) 290
Answer: e
Input: Problem: sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? 
Options: a ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281
Answer: b
Input: Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 5 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? 
Options: a ) 20 % , b ) 17 % , c ) 4.0 % , d ) 3.3 % , e ) 2.8 %
Answer: e
Input: Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 424 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? 
Options: a ) 1176 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560
Answer: a
Input: Problem: in a class of students , 2 / 3 of the number of girls is equal to 1 / 4 of the total number of students . what is the ratio of boys to girls in the class ? 
Options: a ) 1 / 3 , b ) 2 / 3 , c ) 4 / 3 , d ) 5 / 3 , e ) 7 / 3
Answer: d
Input: Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 1 / 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 ) 7 / 17 , b ) 14 / 31 , c ) 7 / 15 , d ) 14 / 19 , e ) 1 / 2
Answer: d
Input: Problem: crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 25 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ? 
Options: a ) $ 75 , b ) $ 40 , c ) $ 50 , d ) $ 80 , e ) $ 100
Answer: a
Input: Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 5 m + n ? 
Options: a ) 65 , b ) 18 , c ) 20 , d ) 25 , e ) 33
Answer: a
Input: Problem: set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 3 ? 
Options: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 3 , e ) e ) 16
Answer: d
Input: Problem: the average height of 20 students is 20 cm and the average height of 11 students is 20 cm . what is the average height of the 31 students ? 
Options: a ) 40 cm , b ) 20 cm , c ) 30 cm , d ) 25 cm , e ) 35 cm
Answer: b
Input: Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 10 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: how many 4 digit numbers have no repeat digits , do not contain zero , and have a sum of digits f equal to 28 ? 
Options: a ) 14 , b ) 24 , c ) 28 , d ) 48 , e ) 96
Answer: d
Input: Problem: a , b and c have rs . 450 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? 
Options: a ) a ) 100 , b ) b ) 110 , c ) c ) 120 , d ) d ) 130 , e ) e ) 140
Answer: a
Input: Problem: if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } is used exactly once , in how many ways can the digits be arranged ? 
Options: a ) 4830 , b ) 5040 , c ) 5250 , d ) 5460 , e ) 5680
Answer: b
Input: Problem: think of a number , divide it by 4 and add 9 to it . the result is 15 . what is the number thought of ? 
Options: a ) 24 , b ) 77 , c ) 297 , d ) 267 , e ) 29
Answer: a
Input: Problem: in a cricket match , 5 batsmen a , b , c , d and e scored an average of 36 runs . d scored 5 more than e ; e scored 8 fewer than a ; b scored as many as d and e combined ; and b and c scored 107 between them . how many runs did e score ? 
Options: a ) 62 , b ) 45 , c ) 28 , d ) 20 , e ) 25
Answer: d
Input: Problem: of the total amount that jill spent on a shopping trip , excluding taxes , she spent 25 percent on clothing , 25 percent on food , and 50 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 2 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? 
Options: a ) 3 , b ) 4.5 , c ) 4 , d ) 3.5 , e ) 5
Answer: d
Input: Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 45 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ? 
Options: a ) 15 , b ) 25 , c ) 13 , d ) 45 , e ) 75
Answer: c
Input: Problem: soymilk are sold in packages of two or 3 only . if hannah bought 17 soymilk exactly , what could be the number of large packs hannah bought ? 
Options: a ) 1 , b ) 4 , c ) 3 , d ) 5 , e ) 8
Answer: c
Input: Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 600 shares of the company ' s stock ? 
Options: a ) $ 92 , b ) $ 312 , c ) $ 104 , d ) $ 120 , e ) $ 240
Answer: b