niryuu/sni-each-converted huggingface dataset:
Problem: a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 200 per month . what is his monthly salary ? 
Options: a ) rs . 5000 , b ) rs . 25000 , c ) rs . 7500 , d ) rs . 8500 , e ) rs . 9500
Output: a
Problem: in the game of dubblefud , red chips , blue chips and green chips are each worth 2 , 4 and 5 points respectively . in a certain selection of chips , the product of the point values of the chips is 16000 . if the number of blue chips in this selection doubles the number of green chips , how many red chips are in the selection ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: if 2 + 2 / x = 3 - 3 / x , then x = 
Options: a ) - 5 , b ) 2 / 3 , c ) 1 , d ) 3 / 2 , e ) 5
Output: e
Problem: if k ^ 3 is divisible by 120 , what is the least possible value of integer k ? 
Options: a ) 15 , b ) 30 , c ) 60 , d ) 90 , e ) 120
Output: b
Problem: 1 ltr of water is added with 3 ltr of a solution containing 33 % of alcohol in the water . the % of alcohol in the new mixture is ? 
Options: a ) 22 % , b ) 23 % , c ) 24.5 % , d ) 24.75 % , e ) 30 %
Output: d
Problem: if the average ( arithmetic mean ) of x and y is 80 , and z – x = 100 , what is the average of y and z ? 
Options: a ) 140 , b ) 100 , c ) 110 , d ) 120 , e ) 130
Output: e
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 30 % 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
Output: d
Problem: find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6 . 
Options: a ) 187 , b ) 197 , c ) 207 , d ) 136 , e ) 227
Output: d
Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Output: b
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
Output: c
Problem: the ages of two persons differ by 16 years . if 6 years ago , the elder one be 3 times as old as the younger one , find their present ages . 
Options: a ) 10 years and 18 years , b ) 18 years and 26 years , c ) 20 years and 28 years , d ) 14 years and 30 years , e ) 16 years and 25 years
Output: d
Problem: when a number is divided by 13 , the remainder is 6 . when the same number is divided by 7 , then remainder is 1 . what is the number ? 
Options: a ) 243 , b ) 253 , c ) 312 , d ) 432 , e ) none of these
Output: b
Problem: the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 33 ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: c
Problem: a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ? 
Options: a ) 48 , b ) 75 , c ) 60 , d ) 54 , e ) 45
Output: c
Problem: for all integers x > 1 . < x > = 2 x + ( 2 x - 1 ) + ( 2 x - 2 ) + . . . . . . 2 + 1 . what is the value of < 2 > * < 4 > ? 
Options: a ) 60 , b ) 116 , c ) 210 , d ) 263 , e ) 360
Output: e
Problem: in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? 
Options: a ) 1 / 6 , b ) 5 / 22 , c ) 6 / 11 , d ) 9 / 16 , e ) 3 / 4
Output: b
Problem: in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 50 bricks in the wall , how many bricks does the bottom row contain ? 
Options: a ) 12 , b ) 10 , c ) 9 , d ) 8 , e ) 11
Output: d
Problem: if x ^ 2 + y ^ 2 = 15 and xy = 3 , then ( x − y ) ^ 2 = 
Options: a ) 8 , b ) 9 , c ) 14 , d ) 17 , e ) 20
Output: b
Problem: 8 people went to a restaurant for dinner . 7 of them spent $ 10 each on their meals and the eighth spent $ 7 more than the average expenditure of all 8 people . what was the total amount of money that the 8 people spent ? 
Options: a ) $ 85 , b ) $ 88 , c ) $ 91 , d ) $ 94 , e ) $ 97
Output: b
Problem: what is the least integer greater than – 4 + 0.5 ? 
Options: a ) – 3 , b ) – 1 , c ) 0 , d ) 1 , e ) 2
Output: a
Problem: the average weight of 10 person ' s increases by 4 kg when a new person comes in place of one of them weighing 70 kg . what is the weight of the new person ? 
Options: a ) 85 , b ) 86.5 , c ) 90 , d ) 88.5 , e ) 110
Output: e
Problem: if the sum of the first n positive integers is s , what is the sum of the first n negative even integers , in terms of s ? 
Options: a ) s / 2 , b ) s , c ) 2 s , d ) 2 s + 2 , e ) 4 s
Output: c
Problem: 40 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? 
Options: a ) 13.2 , b ) 17.5 , c ) 12.8 , d ) 34.25 , e ) 31.25
Output: b
Problem: each of the positive integers a and c is a 4 - digit integer . if each of the digits 0 through 9 appears in one of these 3 integers , what is the maximum possible value of the sum of a and c ? 
Options: a ) 18695 , b ) 18325 , c ) 18365 , d ) 18395 , e ) 18485
Output: d
Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: b
Problem: this year , mbb consulting fired 5 % 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 ) 104.5 % , e ) 105.0 %
Output: c
Problem: the greatest number which on dividing 1442 and 1816 leaves remainders 12 and 6 respectively , is : 
Options: a ) 123 , b ) 127 , c ) 235 , d ) 305 , e ) 10
Output: e
Problem: if the average ( arithmetic mean ) of a and b is 40 and the average of b and c is 60 , what is the value of c − a ? 
Options: a ) 25 , b ) 40 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .
Output: b
Problem: the average weight of a , b and c is 75 kg . if the average weight of a and b be 88 kg and that of b and c be 72 kg , then the weight of b is : 
Options: a ) 60 kg , b ) 59 kg , c ) 62 kg , d ) 63 kg , e ) 61 kg
Output: d
Problem: the average of 6 numbers is 3.9 . the average of two of them is 3.4 , while the average of the other two is 3.85 . what is the average of the remaining two numbers ? 
Options: a ) 4.7 , b ) 4.45 , c ) 4.2 , d ) 4.1 , e ) 4.9
Output: b
Problem: a meal cost $ 32.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : 
Options: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37
Output: e
Problem: what is the sum of all possible solutions to | x - 2 | ^ 2 + | x - 2 | = 20 ? 
Options: a ) - 1 , b ) 6 , c ) 7 , d ) 8 , e ) 14
Output: d
Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 1 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . 
Options: a ) 1 / 35 , b ) 2 / 3 , c ) 7 / 35 , d ) 5 / 7 , e ) 7 / 5
Output: a
Problem: at a certain high school , the senior class is twice the size of the junior class . if 1 / 8 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ? 
Options: a ) 3 / 8 , b ) 3 / 4 , c ) 1 / 3 , d ) 4 / 5 , e ) 1 / 2
Output: c
Problem: in a company the manager wants to give some gifts to all of the workers . in each block there are about 200 workers are there . the total amount for giving the gifts for all the workers is $ 6000 . the worth of the gift is 2 $ . how many blocks are there in the company ? 
Options: a ) 10 , b ) 12 , c ) 18 , d ) 20 , e ) 15
Output: e
Problem: the sum of all the integers f such that - 26 < f < 24 is 
Options: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51
Output: d
Problem: which fraction should be added to : 1 / ( 2 ã — 3 ) + 1 / ( 3 ã — 4 ) + 1 / ( 4 ã — 5 ) + . . . . . . . + 1 / ( 23 ã — 24 ) so that the result is equal to 1 ? 
Options: a ) 7 / 24 , b ) 11 / 24 , c ) 13 / 24 , d ) 17 / 24 , e ) 19 / 24
Output: c
Problem: a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent e should the number of hours worked be increased ? 
Options: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %
Output: c
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
Output: e
Problem: if x : y = 1 : 3 , find the value of ( 2 x + 3 y ) : ( 5 x – y ) 
Options: a ) 11 : 3 , b ) 11 : 2 , c ) 3 : 2 , d ) 7 : 2 , e ) 9 : 5
Output: b
Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? 
Options: a ) 145,660 , b ) 149,720 , c ) 155,420 , d ) 161,280 , e ) 167,480
Output: d
Problem: find value of x : ( 422 + 404 ) ^ 2 − ( 4 × 422 × 404 ) = x . 
Options: a ) 234 , b ) 267 , c ) 324 , d ) 356 , e ) 577
Output: c
Problem: the sum of ages of 5 children born at theintervals of 3 years each is 50 years . what is the age of the youngest child ? 
Options: a ) 4 , b ) 5 , c ) 9 , d ) 8 , e ) 10
Output: a
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 40 % 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 ) 40 % , e ) can not be determined
Output: d
Problem: there are , in a certain league , 8 teams , and each team face another team for a total of 12 times . how many games are played in the season ? 
Options: a ) 150 , b ) 121 , c ) 144 , d ) 180 , e ) 1200
Output: c
Problem: for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score w for the exam ? 
Options: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82
Output: a
Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food , and 1 / 8 of his salary on conveyance . if he has rs 1400 left with him , find his expenditure on food and conveyance 
Options: a ) 3200 , b ) 3400 , c ) 3600 , d ) 3800 , e ) 4000
Output: b
Problem: amit , sumit and pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations . after breakfast , each of them boards a different tourist vehicle from the nearest bus - depot . after 3 hours , sumit who had gone to a famous beach , calls on the mobile of pramit and claims that he has observed a shark in the waters . pramit learns from the local guide that at that time of the year , only 8 sea - creatures ( including a shark ) are observable and the probability of observing any creature is equal . however , amit and pramit later recall during their discussion that sumit has a reputation for not telling the truth 5 out of 6 times . what is the probability that sumit actually observed a shark in the waters ? 
Options: a ) 1 / 36 , b ) 1 / 30 , c ) 5 / 36 , d ) 1 / 24 , e ) 1 / 28
Output: a
Problem: roses can be purchased individually for $ 6.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ? 
Options: a ) 156 , b ) 162 , c ) 316 , d ) 324 , e ) 325
Output: c
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 80 / kg . how much did a kg of coffee cost in june ? 
Options: a ) 50 , b ) 60 , c ) 80 , d ) 100 , e ) 120
Output: c
Problem: if a mixture is 1 ⁄ 2 alcohol by volume and 3 ⁄ 2 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ? 
Options: a ) 3 ⁄ 7 , b ) 4 ⁄ 7 , c ) 3 ⁄ 4 , d ) 4 ⁄ 3 , e ) 7 ⁄ 4
Output: c
Problem: the average score in an examination of 10 students of a class is 60 . if the scores of the top 5 students are not considered , the average score of the remaining students falls by 5 . the pass mark was 40 and the maximum mark was 100 . it is also known that none of the students failed . if each of the top 5 scorers had distinct integral scores , the maximum possible score of the topper is . . . . . . 
Options: a ) 99 , b ) 100 , c ) 87 , d ) 95 , e ) 90
Output: a
Problem: if x is a prime number , and x - 1 is the median of the set { x - 1 , 3 x + 3 , 2 x - 4 } , then what is the average ( arithmetic mean ) of the set ? 
Options: a ) 2 , b ) 5 / 3 , c ) 3 , d ) 10 / 3 , e ) 14 / 3
Output: d
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
Output: e
Problem: a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 * 7 / 17 . what was the number erased ? 
Options: a ) 7 , b ) 8 , c ) 6 , d ) 5 , e ) 4
Output: a
Problem: for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 6 + 3 and * 6 + 6 , inclusive ? 
Options: a ) one , b ) none , c ) two , d ) three , e ) four
Output: b
Problem: 4 + 4 
Options: a ) 8 , b ) 2 , c ) 1 , d ) 5 , e ) 2
Output: c
Problem: in a group of ducks and cows , the total number of legs are 32 more than twice the number of heads . find the total number of cows . 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: c
Problem: a car traveled 80 % of the way from town x to town y at an average speed of 80 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? 
Options: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 20
Output: e
Problem: if 9 - 4 / x = 7 + 8 / x , then x = 
Options: a ) 15 , b ) 6 , c ) 1 , d ) 5 , e ) 12
Output: b
Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 24 , find the sum of money ? 
Options: a ) 288 , b ) 262 , c ) 72 , d ) 123 , e ) 267
Output: d
Problem: a couple decides to have 4 children . if they succeed in having 4 children and each child is equally likely to be a boy or a girl , what is the probability that they will have exactly 2 girls and 2 boys ? 
Options: a ) 3 / 8 , b ) 1 / 4 , c ) 3 / 16 , d ) 1 / 8 , e ) 1 / 16
Output: a
Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 23 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . 
Options: a ) 9 / 8 , b ) 4 / 1 , c ) 2 / 3 , d ) 3 / 4 , e ) 3 / 2
Output: a
Problem: total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3 / 4 liter milk 10 cow gives each 1 / 4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 18
Output: a
Problem: a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is : 
Options: a ) 32 , b ) 24 , c ) 12 , d ) 7 , e ) 45
Output: b
Problem: if | 7 x + 2 | = 16 , then find the product of the values of x ? 
Options: a ) - 5.14 , b ) 6.19 , c ) - 7.18 , d ) - 8.62 , e ) 5.69
Output: a
Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1987 on her 32 nd birthday first be eligible to retire under this provision ? 
Options: a ) 2003 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007
Output: d
Problem: when a certain number x is divided by 61 , the remainder is 24 . what is the remainder when x is divided by 5 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c
Problem: if 300 ! / 10 ^ n is an integer , what is the largest possible value of n ? 
Options: a ) 75 , b ) 74 , c ) 79 , d ) 77 , e ) 72
Output: d
Problem: what is the remainder of g = 3 ^ 19 when divided by 10 ? 
Options: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9
Output: d
Problem: the average age of a group of 12 students is 20 years . if 4 more students join the group , the average age increases by 1 year . the average age of the new students is 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26
Output: c
Problem: the difference between a number and its two - fifth is 45 . what is the number ? 
Options: a ) 76 , b ) 56 , c ) 88 , d ) 66 , e ) 75
Output: e
Problem: n and m are each 3 - digit integers . each of the numbers 2 , 3 , 4,5 , 6 , and 7 is a digit of either n or m . what is the smallest possible positive difference between n and m ? 
Options: a ) 59 , b ) 49 , c ) 58 , d ) 113 , e ) 131
Output: b
Problem: 135 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? 
Options: a ) 12 liters , b ) 32 liters , c ) 41 liters , d ) 54 liters , e ) 34 liters
Output: d
Problem: in a 120 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ? 
Options: a ) 49 , b ) 47 , c ) 25 , d ) 43 , e ) 41
Output: c
Problem: for all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 θ ( 33 θ 17 ) ) ? 
Options: a ) 10 , b ) 8 , c ) 6 , d ) 4 , e ) 2
Output: d
Problem: set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: c
Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 53 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 48 , b ) 50 , c ) 52 , d ) 54 , e ) 56
Output: d
Problem: a student , after his teacher ' s question , chose a number , multiplied it by 2 , then subtracted 138 from the result and got 102 . what was the number he chose ? 
Options: a ) 344 , b ) 251 , c ) 411 , d ) 212 , e ) 120
Output: e
Problem: the average weight of a group of boys is 30 kg . after a boy of weight 45 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? 
Options: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18
Output: a
Problem: the number 189 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 15 , c ) 20 , d ) 27 , e ) 39
Output: c
Problem: tough and tricky questions : mixture problems . a drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 35 ounces of an alcoholic drink that is 1 part rum to 3 parts coke . what is the ratio of rum to coke in the resulting mixture ? 
Options: a ) 2 : 5 , b ) 5 : 15 , c ) 3 : 5 , d ) 4 : 7 , e ) 14 : 5
Output: b
Problem: how many positive integers h less than 10000 are such that the product of their digits is 210 ? 
Options: a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 72
Output: d
Problem: suraj has a certain average of runs for 12 innings . in the 13 th innings he scores 96 runs thereby increasing his average by 5 runs . what is his average after the 13 th innings ? 
Options: a ) 48 , b ) 64 , c ) 36 , d ) 72 , e ) 27
Output: c
Problem: if 3 ^ x * 4 ^ y = 4 , 782,969 and x – y = 14 , then x = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: e
Problem: the sum of the squares of three numbers is 41 , while the sum of their products taken two at a time is 20 . their sum is : 
Options: a ) 10 , b ) 5 , c ) 9 , d ) 15 , e ) none of these
Output: c
Problem: the population of a bacteria culture doubles every 5 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 45
Output: e
Problem: if d = 1 / ( 2 ^ 3 * 5 ^ 8 ) is expressed as a terminating decimal , how many nonzero digits will d have ? 
Options: a ) one , b ) two , c ) three , d ) seven , e ) ten
Output: b
Problem: the price of a certain painting increased by 10 % 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 ) 102 % , b ) 105 % , c ) 95 % , d ) 93.5 % , e ) 90 %
Output: d
Problem: car a travels at 3 times the average speed of car b . car a started to travel at 12 : 00 o ' clock , car b started to travel at 16 : 00 o ' clock . what is the speed of car b ( in km / h ) if the total distance that both cars traveled until 18 : 00 was 1000 km ? 
Options: a ) 10 . , b ) 25 . , c ) 30 . , d ) 38 , e ) 50 .
Output: e
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
Output: b
Problem: according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 15 ounces of water to make a smoothie . how many 3 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies ? 
Options: a ) 120 , b ) 150 , c ) 180 , d ) 240 , e ) 600
Output: c
Problem: a car ferry can hold up to 70 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ? 
Options: a ) 14 , b ) 20 , c ) 28 , d ) 32 , e ) 36
Output: c
Problem: if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x â € “ 6 y ) = ? 
Options: a ) 11 , b ) 8 , c ) 9 , d ) 7 , e ) 6
Output: d
Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.1 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 400 in this special municipal payroll tax , then they must have had a payroll of ? 
Options: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 400,000 , e ) $ 600,000
Output: e
Problem: 50 % of x is greater than 1 / 3 rd of x by 110 . what is x ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 350 , e ) 660
Output: e
Problem: the element being searched for is not found in an array of 100 elements . what is the average number of comparisons needed in a sequential search to determine that the element is not there , if the elements are completely unordered ? 
Options: a ) 25 , b ) 50 , c ) 75 , d ) 100 , e ) 125
Output: d
Problem: 1370 , 1320 , x , - 180 , - 6430 
Options: a ) 1070 , b ) 6530 , c ) 6630 , d ) 6730 , e ) 6830
Output: a
Problem: a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ? 
Options: a ) 130 , b ) 155 , c ) 490 , d ) 140 , e ) 160
Output: d
Problem: the contents of a certain box consist of 40 apples and 30 oranges . how many oranges must be added to the box so that exactly 40 % of the pieces of fruit in the box will be apples ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 30
Output: e
Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 2.00 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? 
Options: a ) $ 144 , b ) $ 135 , c ) $ 90 , d ) $ 60 , e ) $ 54
Output: a
Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 6 k , what is one possible value for k ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output: d
Problem: for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 8 + 3 and * 8 + 8 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Output: a
Problem: 2.505 / 10.02 = 
Options: a ) 0.35 , b ) 0.3505 , c ) 0.25 , d ) 0.351 , e ) 0.3527
Output: c
Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.25 – 6.25 * ? 
Options: a ) 1.5 , b ) 0.5 , c ) 6.25 , d ) 0.25 , e ) 6.0
Output: d
Problem: from a total of 5 boys and 6 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ? 
Options: a ) 16 , b ) 24 , c ) 60 , d ) 120 , e ) 150
Output: e
Problem: a bus starts from city x . the number of women in the bus is half of the number of men . in city y , 16 men leave the bus and 8 women enter . now , number of men and women is equal . in the beginning , how many passengers entered the bus ? 
Options: a ) 15 , b ) 30 , c ) 36 , d ) 72 , e ) 46
Output: d
Problem: ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of b - a ? 
Options: a ) - 10 , b ) 10 , c ) - 19 , d ) 20 , e ) 21
Output: a
Problem: sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 8 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ? 
Options: a ) 11 / 30 , b ) 29 / 60 , c ) 17 / 24 , d ) 19 / 30 , e ) 11 / 15
Output: c
Problem: if 22 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 88 , d ) 80 , e ) 75
Output: c
Problem: the tax on a commodity is diminished by 30 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 18 % , b ) 72 % , c ) 32 % , d ) 16 % , e ) 52 %
Output: d
Problem: a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points . the year before , the student took 5 courses and received an average grade of 60 points . to the nearest tenth of a point , what was the student ’ s average grade for the entire two - year period ? 
Options: a ) 79 , b ) 89 , c ) 95 , d ) 81.81 , e ) 97.2
Output: d
Problem: the difference between a number and its two - fifth is 510 . what is 12 % of that number ? 
Options: a ) 58 , b ) 110 , c ) 76 , d ) 102 , e ) 86
Output: d
Problem: the average score of a cricketer in 2 matches is 20 and in other 3 matches is 30 . then find the average score in all the 5 matches ? 
Options: a ) 26 , b ) 27 , c ) 30 , d ) 35 , e ) 42
Output: a
Problem: if x and y are integers such that x ^ 2 = 3 y and xy = 36 , then x – y = ? 
Options: a ) - 30 , b ) - 20 , c ) - 5 , d ) 5 , e ) 0
Output: e
Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio s of men to women ? 
Options: a ) 5 : 2 , b ) 5 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 3 : 1
Output: a
Problem: if p / q = 5 / 4 , then 2 p + q = ? 
Options: a ) 12 , b ) 14 , c ) 13 , d ) 15 , e ) 16
Output: b
Problem: a number is greater than 3 but less than 8 . also the number is greater than 6 but less than 10 . what is the number ? 
Options: a ) 5 , b ) 7 , c ) 6 , d ) 8 , e ) 9
Output: b
Problem: in what ratio p : q should the mixture p of milk and water in the ratio of 6 : 1 be mixed with another mixture q of milk and water in the ratio 3 : 4 so that the resultant mixture contains equal quantities of milk and water ? 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 3 : 4
Output: c
Problem: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? 
Options: a ) 11 . , b ) 12 . , c ) 13 . , d ) 18 . , e ) 14.5
Output: d
Problem: 11 + 12 + 13 + . . . 51 + 52 = ? 
Options: a ) 1361 , b ) 1362 , c ) 1323 , d ) 1364 , e ) 1365
Output: c
Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 40 - 79 ) 
Options: a ) 345 , b ) 340 , c ) 343 , d ) 349 , e ) 338
Output: a
Problem: if x > 0 , x / 5 + x / 25 is what percent of x ? 
Options: a ) 6 % , b ) 24 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %
Output: b
Problem: the average weight of 10 persons increases by 4.2 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 ) 107 kg , b ) 80 kg , c ) 120 kg , d ) 90 kg , e ) 100
Output: a
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 %
Output: b
Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted . 
Options: a ) 12 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Output: a
Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 16 , and 18 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? 
Options: a ) 4 / 11 , b ) 1 / 2 , c ) 15 / 22 , d ) 144 / 17 , e ) 11 / 4
Output: d
Problem: calculate the average of first 18 even numbers is ? 
Options: a ) 21 , b ) 29 , c ) 19 , d ) 14 , e ) 10
Output: c
Problem: two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number . 
Options: a ) 4 / 12 , b ) 4 / 17 , c ) 4 / 15 , d ) 4 / 11 , e ) 4 / 03
Output: a
Problem: in a certain supermarket , a triangular display of cans is arranged in 10 rows , numbered 1 through 10 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 150 cans in the entire display , how many cans are in the fifth row ? 
Options: a ) 10 , b ) 11 , c ) 13 , d ) 14 , e ) 16
Output: c
Problem: country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? 
Options: a ) $ 1124 million , b ) $ 1120 million , c ) $ 1144 million , d ) $ 1240 million , e ) $ 1488 million
Output: e
Problem: a , b and c rents a pasture for rs . 638 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 270 , b ) 198 , c ) 676 , d ) 156 , e ) 122
Output: b
Problem: a batch of cookies was divided amomg 3 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 5 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin 
Options: a ) 21 / 31 , b ) 9 / 4 , c ) 5 / 9 , d ) 7 / 5 , e ) 9 / 7
Output: a
Problem: when asked what the time is , a person answered that the amount of time left is 1 / 3 of the time already completed . what is the time . 
Options: a ) 2 pm , b ) 9 pm , c ) 3 pm , d ) 8 pm , e ) 6 pm
Output: e
Problem: how many three - element subsets of { 5 , 6,7 , 8,9 } are there that do not contain the pair of elements 6 and 9 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: e
Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1346 , c ) 1378 , d ) 1635 , e ) 1489
Output: d
Problem: a $ 84.95 lawn chair was sold for $ 59.95 at a special sale . by approximately what percent was the price decreased ? 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 29 % , e ) 80 %
Output: d
Problem: the average of 13 result is 20 . average of the first 8 of them is 20 and that of the last 8 is 40 . find the 8 th result ? 
Options: a ) 35 , b ) 37 , c ) 46 , d ) 90 , e ) 100
Output: e
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
Output: d
Problem: two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ? 
Options: a ) b / 2 , b ) b , c ) 3 b / 2 , d ) 2 b , e ) 3 b
Output: e
Problem: the average score of a cricketer for 10 matches is 38.9 runs . if the average for the first 6 matches is 42 , then find the average for the last 4 matches . 
Options: a ) 33.5 , b ) 33.5 , c ) 34.25 , d ) 35 , e ) none of these
Output: c
Problem: evaluate : 60 - 9 ÷ 3 × 6 = 
Options: a ) 52 , b ) 18 , c ) 42 , d ) 102 , e ) 36
Output: c
Problem: 3 distinct single - digit numbers . a , b , c are in gp . if abs ( x ) for real x is the absolute value of x ( x if x is + ve or 0 and - x if x is - ve ) , then the number of different possible values of abs ( a + b + c ) is 
Options: a ) 5 , b ) 6 , c ) 3 , d ) 4 , e ) 7
Output: d
Problem: a house wife saved $ 4 in buying an item on sale . if she spent $ 28 for the item , approximately how much percent she saved in the transaction ? 
Options: a ) 8 % , b ) 13 % , c ) 10 % , d ) 11 % , e ) 12 %
Output: b
Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income ofq is : 
Options: a ) 1100 , b ) 2100 , c ) 1200 , d ) 3100 , e ) 1300
Output: a
Problem: ( 26.3 * 12 * 20 ) / 3 + 125 = ? 
Options: a ) 2339 , b ) 2229 , c ) 4429 , d ) 5529 , e ) 2669
Output: b
Problem: p , q and r have rs . 9000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? 
Options: a ) rs . 3000 , b ) rs . 3600 , c ) rs . 2400 , d ) rs . 4000 , e ) none of these
Output: b
Problem: employees of a certain company are each to receive a unique 8 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , and 7 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? 
Options: a ) 1220 , b ) 1840 , c ) 2160 , d ) 2480 , e ) 2760
Output: c
Problem: john found that the average of 15 numbers is 40 . if 12 is added to each number then the mean of number is ? 
Options: a ) 52 , b ) 45 , c ) 65 , d ) 78 , e ) 64
Output: a
Problem: find the greatest number that will divide 48 , 210 and 136 leaving 4 , 12 and 4 as remainders respectively 
Options: a ) 19 , b ) 17 , c ) 13 , d ) 22 , e ) 21
Output: d
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 h of the mean , what percent of the distribution is less than m + h ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Output: d
Problem: a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ? 
Options: a ) 33 , b ) 75 , c ) 48 , d ) 99 , e ) 21
Output: b
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
Output: a
Problem: √ ( 14 ) ^ 2 
Options: a ) 7 , b ) 14 , c ) 49 , d ) 21 , e ) none of these
Output: b
Problem: in an exam , amar scored 64 percent , bhavan scored 36 percent and chetan 44 percent . the maximum score awarded in the exam is 900 . find the average mark scored by all the 3 boys ? 
Options: a ) 384 , b ) 432 , c ) 207 , d ) 269 , e ) 208
Output: b
Problem: the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is : 
Options: a ) 1 % , b ) 2 % , c ) 3 % , d ) 5 % , e ) 4 %
Output: d
Problem: andy solves problems 74 to 135 inclusive in a math exercise . how many problems does he solve ? 
Options: a ) 53 , b ) 62 , c ) 51 , d ) 50 , e ) 49
Output: b
Problem: the total car population in a chennai is 900 out of which 500 are made by honda . out of every 100 honda cars , 90 are red in color , but only 60 % of the total car population is red . find the % of non - honda cars that are red 
Options: a ) 20.5 % , b ) 22.5 % , c ) 21.5 % , d ) 10.5 % , e ) 32.5 %
Output: b
Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 + . . . + 15 ^ 2 ) is equal to 1280 . what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 + . . . + 30 ^ 2 ) ? 
Options: a ) 2480 , b ) 3490 , c ) 6785 , d ) 8255 , e ) 9255
Output: d
Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 130 , how much more remains to be paid ? 
Options: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,170 , e ) $ 1,210
Output: d
Problem: in an it company , there are a total of 120 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? 
Options: a ) 10 , b ) 50 , c ) 55 , d ) 35 , e ) 75
Output: e
Problem: if 13 = 13 w / ( 1 - w ) , then ( 5 w ) 2 = 
Options: a ) 1 / 4 , b ) 5 , c ) 1 , d ) 2 , e ) 3
Output: b
Problem: the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 45 , what is the possible maximum range of the temperatures ? 
Options: a ) 20 , b ) 25 , c ) 40 , d ) 45 , e ) 75
Output: e
Problem: a woodworker normally makes a certain number of parts in 24 days . but he was able to increase his productivity by 5 parts per day , and so he not only finished the job in only 22 days but also he made 80 extra parts . how many parts does the woodworker normally makes per day and how many pieces does he make in 24 days ? 
Options: a ) 360 , b ) 350 , c ) 340 , d ) 370 , e ) 380
Output: a
Problem: if the price of a book is first decreased by 25 % and then increased by 20 % , then the net change in the price will be : 
Options: a ) 10 , b ) 388 , c ) 37 , d ) 29 , e ) 22
Output: a
Problem: a car travels uphill at 30 km / hr and downhill at 90 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? 
Options: a ) 32 kmph , b ) 39 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph
Output: b
Problem: john was thrice as old as tom 6 years ago . john will be 7 / 5 times as old as tom in 6 years . how old is tom today ? 
Options: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15
Output: b
Problem: machine x takes 60 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce 
Options: a ) 100 , b ) 65 , c ) 25 , d ) 11 , e ) 3
Output: e
Problem: calculate the largest 5 digit number which is exactly divisible by 77 ? 
Options: a ) 99111 , b ) 99946 , c ) 99869 , d ) 99792 , e ) 99654
Output: b
Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32 . in the company , what is the maximum number of non - managers in a department that has 8 managers ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39
Output: b
Problem: if 7 a - 3 b = 10 b + 50 = - 12 b - 2 a , what is the value of 9 a + 9 b ? 
Options: a ) - 9 , b ) - 6 , c ) 0 , d ) 6 , e ) 9
Output: c
Problem: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 70 as quotient . what is the correct quotient ? 
Options: a ) 0 , b ) 12 , c ) 13 , d ) 40 , e ) 25
Output: d
Problem: 1398 x 1398 = ? 
Options: a ) 1624404 , b ) 1851404 , c ) 1951404 , d ) 1954404 , e ) none of these
Output: d
Problem: what is the tens digit of 7 ^ 1001 ? 
Options: a ) 0 , b ) 0 , c ) 2 , d ) 3 , e ) 4
Output: b
Problem: let p be a prime number . if n = 7 p , how many divisors does n have ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: what is the 8 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9
Output: b
Problem: the average runs of a cricket player of 13 innings was 22 . how many runs must he make in his next innings so as to increase his average of runs by 5 ? 
Options: a ) 92 , b ) 42 , c ) 64 , d ) 76 , e ) 84
Output: a
Problem: a mixture of 180 liters of wine and water contains 20 % water . how much more water should be added so that water becomes 25 % of the new mixture ? 
Options: a ) 4 liters , b ) 8 liters , c ) 10 liters , d ) 12 liters , e ) 12.5 liters
Output: d
Problem: if 6 log ( 4 * 5 ^ 2 ) = x , find x 
Options: a ) 10 , b ) 11 , c ) 7 , d ) 12 , e ) 9
Output: d
Problem: the population of a town increased from 1 , 24,300 to 1 , 62,400 in a decade . the average percent increase of population per year is : 
Options: a ) 4.37 % , b ) 4 % , c ) 2.3 % , d ) 3.75 % , e ) none
Output: c
Problem: 5 kilograms of oranges contained 95 % of water . if the next day the concentration of water decreased by 5 % , what was the new weight of the oranges , in kilograms ? 
Options: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5
Output: b
Problem: a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 270 , b ) 279 , c ) 267 , d ) 255 , e ) 552
Output: b
Problem: a library has an average of 510 visitors on sundays and 240 on other days . what is the average number of visitors per day in a month of 30 days beginning with a sunday ? 
Options: a ) 290 , b ) 304 , c ) 285 , d ) 270 , e ) 275
Output: c
Problem: there are 134 toys coloured red and white in a box . two red toys are removed from the lot and now there are twice as many red ones as white ones . how many of red colour toys are there now ? 
Options: a ) 76 , b ) 86 , c ) 90 , d ) 88 , e ) 78
Output: d
Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what s percent of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Output: c
Problem: f 1 ( x ) f 1 ( x ) = 2 x - 1 and fn ( x ) = f 1 ( fn − 1 ( x ) ) fn ( x ) = f 1 ( fn − 1 ( x ) ) for n ≥ ≥ 2 . find f 5 ( 2 ) 
Options: a ) 7 , b ) 6 , c ) 78 , d ) 9 , e ) 1
Output: a
Problem: evaluate 100 / . 25 
Options: a ) 400 , b ) 510 , c ) 500 , d ) none of these , e ) 506
Output: a
Problem: there are 16 bees in the hive , then 7 more fly . how many bees are there in all ? 
Options: a ) 7 , b ) 23 , c ) 12 , d ) 17 , e ) 25
Output: b
Problem: a pharmaceutical company received $ 3 million in royalties on the first $ 30 million in sales of and then $ 9 million in royalties on the next $ 120 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 30 million in sales to the next $ 120 million in sales ? 
Options: a ) 8 % , b ) 15 % , c ) 25 % , d ) 52 % , e ) 56 %
Output: c
Problem: what is the units digit of the product of the first 100 odd numbers ? 
Options: a ) 1 , b ) 3 , c ) 0 , d ) 5 , e ) 7
Output: d
Problem: the contents of a certain box consist of 72 apples and 30 oranges . how many oranges must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ? 
Options: a ) 68 , b ) 78 , c ) 88 , d ) 138 , e ) 108
Output: d
Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ? 
Options: a ) 36 / 625 , b ) 48 / 625 , c ) 64 / 625 , d ) 98 / 625 , e ) 128 / 625
Output: e
Problem: what least number must be added to 1049 , so that the sum is completely divisible by 25 ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 1
Output: e
Problem: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price s per t - shirt that the vendor paid for these purchases ? 
Options: a ) $ 12.20 , b ) $ 12.50 , c ) $ 12.55 , d ) $ 12.70 , e ) $ 13.00
Output: a
Problem: a certain list consists of 21 different numbers . if n is in the list and n is 2 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? 
Options: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 11 , d ) 4 / 21 , e ) 5 / 21
Output: c
Problem: 27 is a perfect cube . when x is added to the prime factor of 27 , the result is a prime number . what is x ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 8 , e ) 11
Output: d
Problem: a cuban cigar would cost 3 dollar less than 1.5 times a french cigar , had the french cigar cost 0.7 dollar less than it does now . an arabian cigar costs 50 cents more than 1.5 times the cuban cigar . the 3 cigars together cost 74.7 dollars . what is the price of the french cigar ? 
Options: a ) 19.7 $ . , b ) 23 $ . , c ) 14.7 $ . , d ) 35 $ . , e ) 37.4 $ .
Output: c
Problem: each of the integers from 1 to 15 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ? 
Options: a ) 9 , b ) 12 , c ) 11 , d ) 10 , e ) 3
Output: a
Problem: how many even multiples of 55 are there between 549 and 1101 ? 
Options: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 11
Output: b
Problem: what is the value of 3 x ^ 2 − 1.6 x + 0.3 for x = 0.8 ? 
Options: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 0.94 , e ) 2.46
Output: d
Problem: find 60 / 42 * 4 
Options: a ) 14.7653 , b ) 0.5897 , c ) 3.6974 , d ) 0.3571 , e ) 1.2587
Output: d
Problem: n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 4 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c