Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a student got twice as many sums wrong as he got right . if he attempted 54 sums in all , how many did he solve correctly ? 
Options: a ) 12 , b ) 16 , c ) 18 , d ) 24 , e ) 26
Answer: c
Input: Problem: given that 100.48 = x , 100.70 = y and xz = y ² , then the value of z is close to 
Options: a ) 1.2 , b ) 1.45 , c ) 2.2 , d ) 2.9 , e ) none
Answer: d
Input: Problem: a charitable association sold an average of 66 raffle tickets per member . among the female members , the average was 70 raffle tickets . the male to female ratio of the association is 1 : 2 . what was the average number t of tickets sold by the male members of the association 
Options: a ) 50 , b ) 56 , c ) 58 , d ) 62 , e ) 66
Answer: c
Input: Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 25 percent of the seeds in the first plot germinated and exactly 40 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 ) 31 % , e ) 60 %
Answer: d
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 10 . what is the percent decrease ? 
Options: a ) 90 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 80 %
Answer: a
Input: Problem: a baker makes chocolate cookies and peanut cookies . his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6 . if he makes exactly 96 cookies , what is the minimum number of chocolate chip cookies he makes ? 
Options: a ) 7 , b ) 14 , c ) 21 , d ) 28 , e ) 42
Answer: e
Input: Problem: a mixture contains milk and water in the ratio 3 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ? 
Options: a ) 30 , b ) 40 , c ) 20 , d ) 10 , e ) 25
Answer: c
Input: Problem: what is the remainder if 7 ^ 4 is divided by 100 ? 
Options: a ) 5 , b ) 4 , c ) 1 , d ) 2 , e ) 10
Answer: c
Input: Problem: a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 9 volts , what was the smallest possible recording in volts ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 7
Answer: e
Input: Problem: the average of temperatures at noontime from monday to friday is 55 ; 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
Answer: c
Input: Problem: average expenditure of a person for the first 3 days of a week is rs . 320 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is : 
Options: a ) 350 , b ) 370 , c ) 390 , d ) 360 , e ) none
Answer: d
Input: 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
Answer: c
Input: Problem: simplify : 0.3 * 0.3 + 0.3 * 0.3 
Options: a ) 0.52 , b ) 0.42 , c ) 0.18 , d ) 0.64 , e ) 0.46
Answer: c
Input: Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is : 
Options: a ) 125 km , b ) 130 km , c ) 135 km , d ) 140 km , e ) none
Answer: b
Input: Problem: 82 * 83 * 84 * . . 89 what is the digit in units place ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: two sets of 3 consecutive positive integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ? 
Options: a ) 4 , b ) 7 , c ) 6 , d ) 12 , e ) it can not be determined from the information given .
Answer: c
Input: Problem: if 13 = 13 w / ( 1 - w ) , then ( 5 w ) 2 = 
Options: a ) 1 / 4 , b ) 5 , c ) 1 , d ) 2 , e ) 3
Answer: b
Input: Problem: in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 28160 , how many purple chips were selected ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 5 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 195
Answer: e
Input: Problem: if ( 1 / 2 ) ^ 18 ( 1 / 81 ) ^ k = 1 / 18 ^ 18 , then k = 
Options: a ) 9 , b ) 12 , c ) 16 , d ) 24 , e ) 36
Answer: a
Input: Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 21 gallons of gasoline ? 
Options: a ) 190 , b ) 284.6 , c ) 300 , d ) 256 , e ) 312
Answer: d
Input: Problem: a man is 28 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? 
Options: a ) 16 , b ) 19 , c ) 15 , d ) 26 , e ) 10
Answer: d
Input: 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
Answer: d
Input: Problem: 1 , 3,5 , 7,9 , . . 50 find term of sequnce 
Options: a ) 1230 , b ) 1300 , c ) 1500 , d ) 1679 , e ) 2500
Answer: e
Input: Problem: if 2 ^ x + 2 ^ y = 10 ^ 0 + 90 ^ 0 , where x and y are non negative integers , what is the greatest possible value of | x â € “ y | ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: 40 onions on a scale weigh 7.68 kg . when 5 onions are removed from the scale , the average weight of the 35 onions is 190 grams . what is the average weight ( in grams ) of the 5 onions which were removed ? 
Options: a ) 200 , b ) 202 , c ) 204 , d ) 206 , e ) 208
Answer: d
Input: Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
Answer: e
Input: Problem: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 8 , the quotient is 3 y and the remainder is 3 . what is the value of 13 y – x ? 
Options: a ) 1 , b ) 0 , c ) - 1 , d ) - 2 , e ) - 4
Answer: a
Input: Problem: of the 180 people at a party , 70 were women , and 30 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 100
Answer: e
Input: Problem: in a group of ducks and cows , the total number of legs are 32 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: d
Input: Problem: if a : b : : 3 : 4 , then what is ( 5 a + 6 b ) : ( a - 2 b ) ? 
Options: a ) 57 : 11 , b ) - 57 : 11 , c ) 11 : 10 , d ) - 39 : 5 , e ) - 1 : 10
Answer: d
Input: Problem: if x = - 6 and y = - 3 , what is the value of 4 ( x - y ) ^ 2 - xy ? 
Options: a ) 20 , b ) 18 , c ) 17 , d ) 22 , e ) 23
Answer: b
Input: Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 50 hours . if harry and james were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 50
Answer: e
Input: Problem: if jake loses 12 pounds , he will weigh twice as much as his sister . together they now weigh 156 pounds . what is jake ’ s present weight , in pounds ? 
Options: a ) 108 , b ) 135 , c ) 139 , d ) 147 , e ) 188
Answer: a
Input: Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 400,000 ? 
Options: a ) 200 , b ) 216 , c ) 300 , d ) 400 , e ) 2,500
Answer: c
Input: Problem: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 5 people , the cost per person would have been $ 50 less . what was the total cost cost of the vacation ? 
Options: a ) $ 200 , b ) $ 375 , c ) $ 400 , d ) $ 500 , e ) $ 600
Answer: b
Input: Problem: the average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . 
Options: a ) 48.79286 , b ) 42.25 , c ) 50.87364 , d ) 51.25 , e ) 52.25474
Answer: a
Input: Problem: a satellite is composed of 30 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? 
Options: a ) 5 / 6 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 7 , e ) 1 / 24
Answer: c
Input: Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 2 / 3 of the remaining balance , what will be the final balance in her bank account ? 
Options: a ) 300 , b ) 375 , c ) 400 , d ) 500 , e ) 575
Answer: d
Input: Problem: if x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $ 48 . if $ 2,000 is the total amount invested , how much is invested at 9 percent ? 
Options: a ) 300 , b ) 250 , c ) 1223.53 , d ) 1133.24 , e ) 776.47
Answer: c
Input: Problem: the simple interest on a sum of money will be rs . 400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? 
Options: a ) 800 , b ) 3799 , c ) 1200 , d ) 2693 , e ) 1732
Answer: a
Input: Problem: dick and jane each saved $ 5,000 in 1989 . in 1990 dick saved 10 percent more than in 1989 , and together he and jane saved a total of $ 10,000 . approximately what percent less did jane save in 1990 than in 1989 ? 
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %
Answer: a
Input: Problem: find large no . 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 5 as remainder 
Options: a ) 1637 , b ) 1456 , c ) 1567 , d ) 1678 , e ) 1635
Answer: a
Input: Problem: if it takes a tub 4 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? 
Options: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 36 seconds , d ) 2 minutes , 14 seconds , e ) 4 minutes , 12 seconds
Answer: c
Input: Problem: the average weight of 8 person ' s increases by 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 ) 70 kg , b ) 80 kg , c ) 81 kg , d ) 90 kg , e ) 91 kg
Answer: c
Input: Problem: john was thrice as old as tom 6 years ago . john will be 15 / 13 times as old as tom in 6 years . how old is tom today ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 13
Answer: b
Input: Problem: simplify : 0.6 * 0.6 + 0.6 * 0.6 
Options: a ) 0.52 , b ) 0.42 , c ) 0.48 , d ) 0.64 , e ) 0.46
Answer: e
Input: Problem: the average age of a class of 20 students is 18 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ? 
Options: a ) 40 years , b ) 41 years , c ) 42 years , d ) 43 years , e ) 44 years
Answer: a
Input: Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 6 ” 3 ? 
Options: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: b
Input: Problem: how many digits 2 ^ 1000 has ? 
Options: a ) 31 , b ) 35 , c ) 50 , d ) 99 , e ) 310
Answer: e
Input: Problem: 4 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other ) 
Options: a ) 12 , b ) 144 , c ) 18 , d ) 21 , e ) 24
Answer: b
Input: Problem: if the average ( arithmetic mean ) of x + 1 , x + 5 , and x + 9 is 0 , then x = 
Options: a ) – 5 , b ) – 4 , c ) – 2 , d ) – 1 , e ) 0
Answer: a
Input: Problem: whats the reminder when 445876 , 985420 , 215546 , 656452 is divided by 8 
Options: a ) 1 , b ) 7 . , c ) 4 , d ) 3 , e ) 9
Answer: c
Input: Problem: a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 204 , what is the fewest number of $ 3 frisbees that could have been sold ? 
Options: a ) 24 , b ) 12 , c ) 8 , d ) 52 , e ) 2
Answer: d
Input: Problem: what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out ? ( two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal ) 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: what is the largest 4 digit number exactly divisible by 88 ? 
Options: a ) 9999 , b ) 9944 , c ) 9988 , d ) 9900 , e ) 9991
Answer: b
Input: Problem: find the sum of first 20 multiples of 12 . 
Options: a ) 2520 , b ) 3878 , c ) 2778 , d ) 27 , e ) 911
Answer: a
Input: Problem: if ( m - 8 ) is a factor of m ^ 2 - km - 24 , then k = 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 11 , e ) 16
Answer: b
Input: Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 9 technicians is rs . 18000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : 
Options: a ) 22 , b ) 54 , c ) 88 , d ) 37 , e ) 29
Answer: b
Input: Problem: the grade point average of one third of the classroom is 15 ; the grade point average of the rest is 18 . what is the grade point average of the whole class ? 
Options: a ) 17 , b ) 19 , c ) 21 , d ) 23 , e ) 25
Answer: a
Input: Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.8 for x = 0.6 ? 
Options: a ) − 0.3 , b ) 0.8 , c ) 0.3 , d ) 1.08 , e ) 2.46
Answer: b
Input: Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 40 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? 
Options: a ) a ) 0.9 , b ) b ) 0.6 , c ) c ) 0.45 , d ) d ) 0.3 , e ) e ) 0.25
Answer: b
Input: Problem: the sum of the non - prime numbers between 10 and 20 , non - inclusive , is 
Options: a ) 60 , b ) 75 , c ) 90 , d ) 105 , e ) 120
Answer: b
Input: Problem: what least number must be subtracted from 9671 so that the remaining number is divisible by 5 ? 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Answer: e
Input: Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 84 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Answer: e
Input: Problem: aram ’ s car was fined when he gave joe and peter a ride , so they decided to help aram pay the fine . joe paid $ 3 more than 1 / 4 of the fine and peter paid $ 3 less than 1 / 3 of the fine , leaving pay $ 4 less than 1 / 2 the fine to complete the payment . what fraction of the fine did aram pay ? 
Options: a ) $ 13 , b ) $ 15 , c ) $ 20 , d ) $ 28 , e ) $ 48
Answer: c
Input: Problem: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 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
Answer: d
Input: Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 25 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ? 
Options: a ) 400 km , b ) 500 km , c ) 331.2 km , d ) 550 km , e ) 600 km
Answer: c
Input: Problem: in a school with 620 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is 
Options: a ) 150 , b ) 200 , c ) 155 , d ) 350 , e ) none
Answer: c
Input: Problem: of the female students at barkely university , 5 / 6 are on the honor roll . of the male students , 2 / 3 are on the honor roll . if 2 / 5 of the students are female , what fraction of all the students are on the honor roll ? 
Options: a ) 5 / 9 , b ) 3 / 15 , c ) 23 / 30 , d ) 22 / 30 , e ) 53 / 90
Answer: d
Input: Problem: there is a total of 120 marbles in a box , each of which is red , green , blue , or white . if one marble is drawn from the box at random , the probability that it will be white is 1 / 4 and the probability that it will be green is 1 / 3 . what is the probability that the marble will be either red or blue ? 
Options: a ) 1 / 6 , b ) 1 / 4 , c ) 2 / 7 , d ) 1 / 3 , e ) 5 / 12
Answer: e
Input: Problem: x and y are positive integers . when x is divided by 17 , the remainder is 3 , and when x is divided by 19 , the remainder is 1 . when y is divided by 14 , the remainder is 5 , and when y is divided by 21 , the remainder is 12 . what is the least possible value of y - x ? 
Options: a ) 15 , b ) 13 , c ) 11 , d ) 14 , e ) 18
Answer: b
Input: Problem: in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.6 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 70 liters and a truck ' s tank is 120 % bigger and they are all empty - ? 
Options: a ) 312.6 $ , b ) 321.05 $ , c ) 343.7 $ , d ) 398.85 $ , e ) 412.12 $
Answer: b
Input: Problem: he number of times a bucket of capacity 4 liters to be used to fill up a tank is less than number of ties another bucket of capacity 3 liters used for the same purpose by 4 . what is the capacity of the tank ? 
Options: a ) 360 liters , b ) 256 , c ) 48 , d ) 525 , e ) 425
Answer: c
Input: Problem: the compound interest on a sum of money for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound interest and simple interest for 3 years 
Options: a ) 98.5 , b ) 08.56 , c ) 98.56 , d ) 98.86 , e ) 98.46
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 3 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 193
Answer: e
Input: Problem: a rower whose speed is 6 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? 
Options: a ) 3.9 , b ) 4.2 , c ) 4.5 , d ) 4.8 , e ) 5.1
Answer: c
Input: Problem: at the end of year x , automobile installment credit accounted for 20 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 57 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? 
Options: a ) 171 , b ) 855 , c ) 870 , d ) 788 , e ) 684
Answer: b
Input: Problem: if a certain number is divided by 5 , the quotient , dividend , and divisor , added together , will amount to 65 . what is the number ? 
Options: a ) 18 , b ) 28 , c ) 48 , d ) 38 , e ) 50
Answer: e
Input: Problem: if 5 x + 3 = 10 x – 17 , what is the value of x ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: a trained covered x km at 40 kmph and another 4 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . 
Options: a ) 11.33 kmph , b ) 12.33 kmph , c ) 13.33 kmph , d ) 14.33 kmph , e ) 23.33 kmph
Answer: c
Input: Problem: at scratch and dents rent - a - car , it costs $ 34.95 a day plus $ 0.23 per mile to rent a car . at rent - a - lemon , the charge is $ 25.00 a day plus $ 1.31 per mile . if you need to rent a car for 3 days , how many miles ( to nearest tenth ) must you drive for a car from both agencies to cost the same amount ? 
Options: a ) 25.7 miles , b ) 26.2 miles , c ) 27.6 miles , d ) 27.9 miles , e ) 29.9 miles
Answer: c
Input: Problem: when n is divided by 24 , the remainder is 6 . what is the remainder when 3 n is divided by 8 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 2
Answer: e
Input: Problem: the average marks of a class of 24 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? 
Options: a ) 52.2 , b ) 59.5 , c ) 52.8 , d ) 53.5 , e ) 52.1
Answer: d
Input: Problem: q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years . what is definitely the difference between r and q ' s age ? 
Options: a ) 50 , b ) 99 , c ) 88 , d ) 77 , e ) 23
Answer: d
Input: Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 7000 ? 
Options: a ) s . 4991 , b ) s . 5991 , c ) s . 6001 , d ) s . 6991 , e ) s . 7991
Answer: e
Input: Problem: a 50 ml after - shave lotion at 30 % alcohol is mixed with 30 ml of pure water . what is the percentage of alcohol in the new solution ? 
Options: a ) 16.75 % , b ) 17.75 % , c ) 18.75 % , d ) 19.75 % , e ) none of these
Answer: c
Input: Problem: if x + y = - 4 , and x = 6 / y , what is the value of x ^ 2 + y ^ 2 ? 
Options: a ) 10 , b ) 15 , c ) 6 , d ) 4 , e ) 5
Answer: d
Input: Problem: how many integerskgreater than 100 and less than 900 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Answer: c
Input: Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration q of the acid in the mixture ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5
Answer: d
Input: Problem: find the lowest common multiple of 25 , 35 and 50 . 
Options: a ) 350 , b ) 420 , c ) 510 , d ) 320 , e ) 280
Answer: a
Input: Problem: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 20 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 20 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: e
Input: Problem: if 1 / ( x + 2 ) + 1 / ( x - 2 ) = 1 / ( x + 2 ) , what is the value of x ? 
Options: a ) - 1 , b ) 2 , c ) 1 , d ) - 2 , e ) 0
Answer: d
Input: Problem: ( 5568 / 87 ) 1 / 3 + ( 72 x 2 ) 1 / 2 = ( ? ) 1 / 2 ? 
Options: a ) 256 , b ) 4 , c ) √ 2 , d ) 16 , e ) none
Answer: a
Input: Problem: 2525 * 9 
Options: a ) 22725 , b ) 25675 , c ) 22655 , d ) 27575 , e ) none of these
Answer: a
Input: Problem: the average weight of a class is x pounds . when a new student weighing 50 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ? 
Options: a ) 85 , b ) 86 , c ) 88 , d ) 90 , e ) 92
Answer: a
Input: Problem: from below option 27 is divisible by which one ? 
Options: a ) a ) 4 , b ) b ) 8 , c ) c ) 9 , d ) d ) 10 , e ) e ) 911
Answer: c
Input: Problem: a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 75 km / hr . what is the speed of the car in the second half of the trip ? 
Options: a ) 40 , b ) 45 , c ) 48 , d ) 50 , e ) 55
Answer: d
Input: 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
Answer: c
Input: Problem: in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 100 bricks in the wall , how many bricks does the bottom row contain ? 
Options: a ) 18 , b ) 16 , c ) 17 , d ) 15 , e ) 19
Answer: a
Input: Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 144 seconds . the length of each train is : 
Options: a ) 82 m , b ) 150 m , c ) 172 m , d ) 200 m , e ) none of these
Answer: d
Input: Problem: george baked a total of 100 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: set a of 8 positive integers may have the same element and have 37 . and set b of 8 positive integers must have different elements and have 37 . when m and n are the greatest possible differences between 37 and other elements ’ sums in set a and set b , respectively , m - n = ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 26
Answer: b
Input: Problem: mid intended to type a 7 - digit number , but the two 3 ' s he meant to type did not appear . what appeared instead was the 5 - digit number 52115 . how many different 7 - digit numbers could mid have meant to type ? 
Options: a ) 10 , b ) 16 , c ) 21 , d ) 24 , e ) 27
Answer: c
Input: Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 6000 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 42000 , d ) 34000 , e ) none of these
Answer: c
Input: Problem: a student has to obtain 35 % of the total marks to pass . he got 100 marks and failed by 40 marks . the maximum marks are ? 
Options: a ) 280 , b ) 400 , c ) 420 , d ) 480 , e ) 520
Answer: b
Input: Problem: the tax on a commodity is diminished by 30 % but its consumption is increased by 15 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 14 %
Answer: a
Input: Problem: what least number must be subtracted from 42739 so that remaining no . is divisible by 15 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Answer: b
Input: Problem: city x has a population 7 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ? 
Options: a ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 14 : 1 , e ) 18 : 1
Answer: d
Input: Problem: the average amount with a group of 7 numbers is rs . 20 . if the newly joined member has rs . 56 with him , what was the average amount with the group before his joining the group ? 
Options: a ) s . 13 , b ) s . 12 , c ) s . 15 , d ) s . 22 , e ) s . 14
Answer: e
Input: Problem: if the price of a certain computer increased 30 percent from y dollars to 351 dollars , then 2 y = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700
Answer: a
Input: Problem: the contents of a certain box consist of 48 apples and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ? 
Options: a ) 90 , b ) 72 , c ) 82 , d ) 54 , e ) 65
Answer: c
Input: Problem: if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 25 , then the greatest possible value of a is between : 
Options: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9
Answer: a
Input: Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 3 
Options: a ) 26 , b ) 22 , c ) 25 , d ) 30 , e ) 29
Answer: d
Input: Problem: in an organisation there are 1000 employees out of which 250 earn below 10 k $ and 500 earn between 10 k $ and 50 k $ . what is the total percentage of employees who earn less than 50 k $ ? 
Options: a ) 66 % , b ) 75 % , c ) 70 % , d ) 50 % , e ) 82 %
Answer: b
Input: Problem: working simultaneously and independently at an identical constant rate , 6 machines of a certain type can produce a total of x units of product p in 5 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 4 x units of product p in 10 days ? 
Options: a ) 9 , b ) 10 , c ) 12 , d ) 14 , e ) 18
Answer: c
Input: Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 50 . he was allowed to drop his lowest score . after doing so , his average test score improved to 55 . what is the lowest test score that was dropped ? 
Options: a ) 20 , b ) 35 , c ) 55 , d ) 65 , e ) 80
Answer: b
Input: Problem: what is the smallest positive integer k such that the product of 2205 x k is a perfect square ? 
Options: a ) 5 , b ) 9 , c ) 15 , d ) 25 , e ) 63
Answer: a
Input: Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 6 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 ) 8 , b ) 10 , c ) 12 , d ) 16 , e ) 24
Answer: c
Input: Problem: the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 400 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ? 
Options: a ) 60 , b ) 90 , c ) 120 , d ) 100 , e ) 240
Answer: d
Input: Problem: if y > 0 , ( 7 y ) / 20 + ( 3 y ) / 10 is what percent of y ? 
Options: a ) 40 % , b ) 50 % , c ) 65 % , d ) 70 % , e ) 80 %
Answer: c
Input: Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by c are ? 
Options: a ) 11 , b ) 18 , c ) 45 , d ) 17 , e ) 12
Answer: c
Input: Problem: if the price of gasoline increases by 25 % and a driver intends to spend only 5 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? 
Options: a ) 20 % , b ) 16 % , c ) 15 % , d ) 12 % , e ) 10 %
Answer: b
Input: Problem: of the four - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? 
Options: a ) 6048 , b ) 3648 , c ) 7248 , d ) 1448 , e ) 2168
Answer: a
Input: Problem: 10 play kabadi , 15 play kho kho only , 5 play both gmaes . then how many in total ? 
Options: a ) 25 , b ) 35 , c ) 38 , d ) 40 , e ) 45
Answer: a
Input: Problem: if 25 % of x is 30 less than 20 % of 1000 , then x is ? 
Options: a ) 188 , b ) 216 , c ) 156 , d ) 680 , e ) 121
Answer: d
Input: Problem: a satellite is composed of 24 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? 
Options: a ) 5 / 6 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 7 , e ) 1 / 24
Answer: b
Input: Problem: the sum of the even numbers between 1 and k is 79 * 80 , where k is an odd number , then k = 
Options: a ) 79 , b ) 80 , c ) 81 , d ) 157 , e ) 159
Answer: e
Input: Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ? 
Options: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: a certain psychologist charges $ 30 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 400 , what is the total charge to a patient who receives only 3 hours of therapy ? 
Options: a ) $ 120 , b ) $ 135 , c ) $ 150 , d ) $ 165 , e ) $ 252
Answer: e
Input: Problem: jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.15 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ? 
Options: a ) $ 3.15 , b ) $ 4.45 , c ) $ 3.60 , d ) $ 5.05 , e ) $ 5.40
Answer: c
Input: Problem: if 13 = 13 w / ( 1 - w ) , then ( 3 w ) 2 = 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 3
Answer: e
Input: Problem: 108 ã — 108 + 92 ã — 92 = ? 
Options: a ) 20120 , b ) 11500 , c ) 20128 , d ) 20660 , e ) 20228
Answer: c
Input: Problem: what is the total cost of 2 sandwiches at $ 1.49 each and 4 sodas at $ 0.87 each ? 
Options: a ) $ 3.36 , b ) $ 6.46 , c ) $ 8.46 , d ) $ 10.08 , e ) $ 11.85
Answer: b
Input: Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 4 . if p is less than – 2 , what is the value of p ? 
Options: a ) – 14 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14
Answer: a
Input: Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 . 
Options: a ) 18 , b ) 20 , c ) 24 , d ) 30 , e ) 32
Answer: b
Input: 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 * 9 + 3 and * 9 + 9 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: a number when divided by a divisor leaves a remainder of 24 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ? 
Options: a ) 13 , b ) 59 , c ) 35 , d ) 37 , e ) 12
Answer: d
Input: Problem: what is the average of odd numbers from 1 to 79 ? 
Options: a ) 30 , b ) 25 , c ) 35 , d ) 40 , e ) 45
Answer: d
Input: Problem: the average age of applicants for a new job is 10 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? 
Options: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34
Answer: c
Input: Problem: s is a set of 50 consecutive multiples of 2 . if the smallest number in s is 56 , then the greatest number in s is 
Options: a ) 198 , b ) 154 , c ) 199 , d ) 102 , e ) 105
Answer: b
Input: Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 60 km / hr . however , he covers the distance from y to x at an average speed of 30 km / hr . his average speed during the whole journey in km / hr . is : 
Options: a ) 34 , b ) 43 , c ) 40 , d ) 38 , e ) 29
Answer: c
Input: Problem: if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year , the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 38 . if $ 2,000 is the total amount invested , how much is invested at 8 percent ? 
Options: a ) $ 700 , b ) $ 800 , c ) $ 900 , d ) $ 1100 , e ) $ 1200
Answer: c
Input: Problem: - - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 190 students answered yes only for subject m , how many of the students did not answer yes for either subject ? 
Options: a ) 100 , b ) 210 , c ) 300 , d ) 400 , e ) 500
Answer: b
Input: Problem: 0.0005215 / 0.000305 x 6.2 = ? 
Options: a ) 10.6 , b ) 11.3 , c ) 12.7 , d ) 13.4 , e ) 14.5
Answer: a
Input: Problem: how many numbers from 10 to 1000 are exactly divisible by 9 ? 
Options: a ) 100 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Answer: a
Input: Problem: how many three - element subsets of { 1,2 , 3,4 } are there that do not contain the pair of elements 2 and 4 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: 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
Answer: b
Input: Problem: average of 6 numbers comes out to be 3.95 . average of two of the numbers is 3.4 while the average of other two is 3.85 . determine the average of the two numbers left . 
Options: a ) 4.7 , b ) 4.8 , c ) 4.3 , d ) 4.6 , e ) 4.9
Answer: d
Input: Problem: 5359 x 51 = ? 
Options: a ) 273232 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273309
Answer: e
Input: Problem: a retailer bought a hat at wholesale and marked it up 60 % to its initial price of $ 24 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: if a ã — b = 2 a - 3 b + ab , then 1 ã — 2 + 2 ã — 1 is equal to : 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: if ( 1 – 1.25 ) n = 4 , then n = 
Options: a ) − 400 , b ) − 16 , c ) − 4 , d ) 4 , e ) 400
Answer: b
Input: Problem: a large box contains 15 small boxes and each small box contains 20 chocolate bars . how many chocolate bars are in the large box ? 
Options: a ) a ) 220 , b ) b ) 490 , c ) c ) 380 , d ) d ) 300 , e ) e ) 690
Answer: d
Input: Problem: 15 times a number gives 150 . the number is 
Options: a ) 11 , b ) 15 , c ) 13 , d ) 14 , e ) can not be determined
Answer: b
Input: Problem: if the average ( arithmetic mean ) of 2 a + 16 , 3 a - 8 is 94 , what is the value of a ? 
Options: a ) 25 , b ) 30 , c ) 28 , d ) 36 , e ) 42
Answer: d
Input: Problem: ( 7 + 7 + 7 ÷ 7 ) / ( 5 + 5 + 5 ÷ 5 ) = ? 
Options: a ) 1 , b ) 1 / 5 , c ) 15 / 11 , d ) 3 / 11 , e ) none
Answer: c
Input: Problem: anne earned $ 3 an hour baby - sitting , and $ 4 an hour working in the garden . last week she did baby - sitting for 5 hours and garden work for 3 hours . how much more money does she need to buy a game that costs $ 35 ? 
Options: a ) $ 8 , b ) $ 12 , c ) $ 6 , d ) $ 21 , e ) $ 10
Answer: a
Input: Problem: thabo owns exactly 180 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Answer: c
Input: Problem: what is the units digit of ( 3 ^ 11 ) ( 4 ^ 13 ) ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 8
Answer: a
Input: Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 0 , e ) 1
Answer: d
Input: Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 161 ? 
Options: a ) 2670 , b ) 2980 , c ) 3550 , d ) 4030 , e ) 4540
Answer: d
Input: Problem: given a two - digit number , the unit ' s digit exceeds its 10 ' s digit by 5 and the product of the given number and the sum of its digits is equal to 90 , which of the options is the number ? 
Options: a ) 27 , b ) 16 , c ) 38 , d ) 61 , e ) 83
Answer: a
Input: 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
Answer: d
Input: Problem: x is a positive integer less than 600 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: e
Input: Problem: the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 7 students ? 
Options: a ) 14 years , b ) 17 years , c ) 19 years , d ) 38 years , e ) none
Answer: d
Input: Problem: what is the remainder if 7 ^ 3 is divided by 100 ? 
Options: a ) 52 , b ) 35 , c ) 42 , d ) 41 , e ) 43
Answer: e
Input: Problem: in a mixed college 160 students are there in one class . out of this 160 students 5 / 8 students are girls . how many boys are there ? 
Options: a ) a ) 40 , b ) b ) 60 , c ) c ) 80 , d ) d ) 120 , e ) e ) 140
Answer: b
Input: Problem: among 250 viewers interviewed who watch at least one of the 3 tv channels namely a , bc . 116 watch a , 127 watch c , while 107 watch b . if 90 watch exactly two channels . how many watch exactly one channel ? 
Options: a ) 155 , b ) 160 , c ) 175 , d ) 190 , e ) 195
Answer: a
Input: Problem: on dividing 23 by a number , the quotient is 4 and the remainder is 3 . find the divisor . 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7
Answer: d
Input: Problem: if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 3 is divided by 41 ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 16 , e ) 18
Answer: e
Input: Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 2 ? 
Options: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: e
Input: Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration w of the acid in the mixture ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5
Answer: d
Input: Problem: john has exactly 31 pens , and each pen is either bule , black , or red . if he has 5 more black pens than red pens , and twice as many blue pens as black pens , how many blue pens does john has ? 
Options: a ) 15 , b ) 18 , c ) 20 , d ) 22 , e ) 17
Answer: b
Input: Problem: if 9 a - b = 10 b + 50 = - 12 b - 2 a , what is the value of 11 a + 11 b ? 
Options: a ) - 4 , b ) - 2 , c ) 0 , d ) 2 , e ) 4
Answer: c
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 180 runs and his average excluding these two innings is 58 runs , find his highest score . 
Options: a ) 179 , b ) 194 , c ) 269 , d ) 177 , e ) 191
Answer: b
Input: Problem: there are 3 workers in the factory a , b , c . the age of a is 4 more than the age of b and the age of b is 4 more than the age of c . if the sum of the square of the ages is 1202 . what is the sum of their ages ? 
Options: a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 70
Answer: c
Input: Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,700 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? 
Options: a ) 38,000 , b ) 40,000 , c ) 42,500 , d ) 45,700 , e ) 48,500
Answer: d
Input: Problem: if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value w of the product xy ? 
Options: a ) - 12 , b ) - 3 , c ) 0 , d ) 2 , e ) none of the above
Answer: c
Input: Problem: what is the 29 th digit to the right of the decimal point in the decimal form of 4 / 11 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: the toll for crossing a certain bridge is $ 0.75 each crossing . drivers who frequently use the bridge may instead purchase a sticker each month for $ 11.00 and then pay only $ 0.30 each crossing during that month . if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day , what is the least value of x for which this driver can save money by using the sticker ? 
Options: a ) 14 , b ) 15 , c ) 16 , d ) 28 , e ) 29
Answer: e
Input: Problem: one day , connie plays a game with a fair 6 - sided die . connie rolls the die until she rolls a 6 , at which point the game ends . if she rolls a 6 on her first turn , connie wins 6 dollars . for each subsequent turn , connie wins 1 6 of the amount she would have won the previous turn . what is connie ' s expected earnings from the game ? 
Options: a ) 32 / 31 , b ) 33 / 31 , c ) 34 / 31 , d ) 36 / 31 , e ) 0 / 31
Answer: d
Input: Problem: if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 27 , what is the value of r - p ? 
Options: a ) 20 , b ) 10 , c ) 34 , d ) 40 , e ) 5
Answer: c
Input: Problem: if x + ( 1 / x ) = 5 , what is the value of t = x ^ 2 + ( 1 / x ) ^ 2 ? 
Options: a ) t = 21 , b ) t = 22 , c ) t = 23 , d ) 24 , e ) 27
Answer: c
Input: Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 5 ? 
Options: a ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30
Answer: c
Input: Problem: 248 : 3 : : 328 : ? 
Options: a ) 7 , b ) 5 , c ) 4 , d ) 6 , e ) none of the above
Answer: c
Input: Problem: find the value of 1 / ( 3 + 1 / ( 3 + 1 / ( 3 - 1 / 3 ) ) ) ? 
Options: a ) 13 / 89 , b ) 15 / 87 , c ) 27 / 89 , d ) 27 / 87 , e ) 89 / 27
Answer: c
Input: Problem: a total of 520 players participated in a single tennis knock out tournament . what is the total number of matches played in the tournament ? ( knockout means if a player loses , he is out of the tournament ) . no match ends in a tie . 
Options: a ) 511 , b ) 519 , c ) 256 , d ) 255 , e ) 1023
Answer: b
Input: Problem: average families of 4 pay $ 3000 for their health insurance deductibles annually . there will be a 2 / 3 increase in the deductibles for next year . how much more will the average family pay in deductibles next year ? 
Options: a ) $ 1000 , b ) $ 2000 , c ) $ 3000 , d ) $ 4000 , e ) $ 5000
Answer: b
Input: Problem: a mixture contains milk and water in the ratio 6 : 3 . on adding 10 litters of water , the ratio of milk to water becomes 6 : 5 . the quantity of milk in the original mixture is ? 
Options: a ) 90 , b ) 45 , c ) 110 , d ) 40 , e ) 50
Answer: b
Input: Problem: what is the smallest integer that is multiple of 3 , 5,9 
Options: a ) a ) 70 , b ) b ) 45 , c ) c ) 200 , d ) d ) 280 , e ) e ) 140
Answer: b