Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: pat , kate , and mark charged a total of 135 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? 
Options: a ) 18 , b ) 36 , c ) 75 , d ) 90 , e ) 108
Answer: c
Input: Problem: the divisor is 21 , the quotient is 14 and the remainder is 7 . what is the dividend ? 
Options: a ) 201 , b ) 394 , c ) 302 , d ) 301 , e ) 294
Answer: d
Input: Problem: in how many ways can a teacher write an answer key for a mini - quiz that contains 3 true - false questions followed by 2 multiples - choice questions with 4 answer choices each , if the correct answers to all true - false questions can not be the same ? 
Options: a ) 88 , b ) 90 , c ) 96 , d ) 98 , e ) 102
Answer: c
Input: Problem: the average weight of 22 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 ) 48.89 , b ) 42.25 , c ) 50 , d ) 51.25 , e ) 52.25
Answer: a
Input: Problem: the batting average of a particular batsman is 63 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score . 
Options: a ) 179 , b ) 208 , c ) 210 , d ) 223 , e ) 248
Answer: e
Input: Problem: if ( a + b ) = 16 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ? 
Options: a ) 10 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 2 .
Answer: a
Input: Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost is what percent t of the original cost ? 
Options: a ) t = 200 , b ) t = 600 , c ) t = 800 , d ) t = 1600 , e ) t = 50
Answer: d
Input: Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 140 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? 
Options: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 560
Answer: e
Input: Problem: a 6 - liter solution is 40 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? 
Options: a ) 1.2 , b ) 1.5 , c ) 1.8 , d ) 2.1 , e ) 2.4
Answer: a
Input: Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 30 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 30 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? 
Options: a ) $ 2,040 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 2,030
Answer: e
Input: Problem: a container contains 40 liters of milk , from this container 4 liters of milk was taken out and replaced by water . this process was repeated further 2 times . how much milk is now contained by the container ? 
Options: a ) 25.5 liters , b ) 29.16 liters , c ) 30.98 liters , d ) 42.15 liters , e ) 48.32 liters
Answer: b
Input: Problem: in a factory , an average of 70 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 68 sets / day . the average production per day for day last 5 days is ? 
Options: a ) 20 , b ) 36 , c ) 48 , d ) 50 , e ) 58
Answer: e
Input: Problem: find the least number which when divided by 5 , 6,7 , and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder 
Options: a ) 1683 , b ) 1684 , c ) 1685 , d ) 1582 , e ) 1584
Answer: a
Input: Problem: mother , her daughter and her grand child weighs 160 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? 
Options: a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 40
Answer: e
Input: Problem: the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers 
Options: a ) 28,22 , b ) 28,17 , c ) 27,17 , d ) 26,17 , e ) 28,19
Answer: b
Input: Problem: if there are 10 peanuts in a box and mary puts 8 more peanuts inside , how many peanuts are in the box ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 18
Answer: e
Input: Problem: jerry bought a bottle of perfume for a gift for his wife . the perfume cost $ 92 before tax . if the total price including tax was $ 98.90 , find the tax rate 
Options: a ) 7.5 % , b ) 5 % , c ) 12 % , d ) 8 % , e ) 10 %
Answer: a
Input: Problem: what is the dividend . divisor 16 , the quotient is 8 and the remainder is 4 
Options: a ) 127 , b ) 128 , c ) 130 , d ) 131 , e ) 132
Answer: e
Input: Problem: a 40 - liter solution of alcohol and water is 5 percent alcohol . if 6.5 liters of alcohol and 3.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? 
Options: a ) 13 % , b ) 14 % , c ) 15 % , d ) 16 % , e ) 17 %
Answer: e
Input: Problem: what is the least value of x . so that 21 x 57 is divisible by 3 . 
Options: a ) 2 , b ) 0 , c ) 1 , d ) 3 , e ) 4
Answer: b
Input: Problem: how many numbers from 10 to 50 are exactly divisible by 3 . 
Options: a ) 13 , b ) 14 , c ) 16 , d ) 17 , e ) 19
Answer: a
Input: Problem: 10 ^ ( 600 ) ã · 10 ^ ( 580 ) = ? 
Options: a ) 10 ^ 10 , b ) 10 ^ 20 , c ) 10 ^ 22 , d ) 10 ^ 23 , e ) 10 ^ 24
Answer: b
Input: Problem: a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? 
Options: a ) 31 % . , b ) 71 % . , c ) 49 % . , d ) 29 % . , e ) 51 % .
Answer: d
Input: 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
Answer: e
Input: Problem: the function f ( y ) represents the number of ways that prime numbers can be uniquely summed to form a certain number y such that y = a + b + c + d … where those summed variables are each prime and a ≤ b ≤ c ≤ d . . . for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5 . what is f ( 12 ) ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: d
Input: Problem: the sum of ages of 10 children born at the intervals of 1 years each is 105 years . what is the age of the youngest child ? 
Options: a ) 4 , b ) 5 , c ) 2 , d ) 7 , e ) 6
Answer: e
Input: 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
Answer: a
Input: Problem: a rope of which a calf is tied is increased from 16 m to 23 m , how much additional grassy ground shall it graze ? 
Options: a ) 1217 , b ) 1219 , c ) 1210 , d ) 1212 , e ) 858
Answer: e
Input: Problem: √ ( 36 ) ^ 2 
Options: a ) 6 , b ) 14 , c ) 36 , d ) 21 , e ) none of these
Answer: c
Input: Problem: 16.02 ã — 0.01 = ? 
Options: a ) 0.1602 , b ) 0.001602 , c ) 1.6021 , d ) 0.01602 , e ) none of these
Answer: a
Input: Problem: find the average of all the numbers between 6 and 34 which are divisible by 6 . 
Options: a ) 18 , b ) 20 , c ) 24 , d ) 30 , e ) 21
Answer: e
Input: Problem: the average age of 39 students in a group is 14 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? 
Options: a ) 35 years , b ) 45 years , c ) 51 years , d ) 54 years , e ) none of these
Answer: d
Input: Problem: the product x of two prime numbers is between 17 and 60 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x = 
Options: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 57
Answer: e
Input: Problem: how many halves are there in 9 - fourth ? 
Options: a ) 8 , b ) 4.5 , c ) 3.2 , d ) 7 , e ) 3
Answer: b
Input: Problem: if p / q = 2 / 7 , then 2 p + q = ? 
Options: a ) 11 , b ) 14 , c ) 13 , d ) 15 , e ) 16
Answer: a
Input: Problem: the temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? 
Options: a ) 65 , b ) 61.875 , c ) 80 , d ) 85 , e ) 90
Answer: b
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 15 . if n / j = 134.08 , what is value of j ? 
Options: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 187.5
Answer: e
Input: Problem: when 1 / 20 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is 
Options: a ) 50 , b ) 200 , c ) 380 , d ) 398 , e ) 400
Answer: d
Input: Problem: 18 times a positive integer is more than its square by 80 , then the positive integer is 
Options: a ) 13 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Answer: b
Input: Problem: the value of ( 34.5 * 0.473 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to 
Options: a ) 2 , b ) 1.15 , c ) 2.05 , d ) 2.16 , e ) 2.35
Answer: d
Input: Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 51200 ? 
Options: a ) 81000 , b ) 81028 , c ) 27772 , d ) 29889 , e ) 64800
Answer: e
Input: Problem: there were totally 100 men . 84 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: d
Input: Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 31 , find the value of ab . 
Options: a ) 12 , b ) 15 , c ) 10 , d ) 11 , e ) 13
Answer: d
Input: Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability j that you can still row the canoe ? 
Options: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25
Answer: e
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ? 
Options: a ) 11 years , b ) 17 years , c ) 67 years , d ) 14 years , e ) 12 years
Answer: a
Input: Problem: how many figures are required to number the pages the pages of a book containing 365 pages ? 
Options: a ) 987 , b ) 977 , c ) 967 , d ) 897 , e ) 997
Answer: a
Input: Problem: a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ? 
Options: a ) 17.5 litres , b ) 16.67 litres , c ) 17.67 litres , d ) 16.5 litres , e ) 16 litres
Answer: b
Input: Problem: for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 25 , then x = 
Options: a ) – 15 , b ) – 2 , c ) - 3 , d ) 6 , e ) 15
Answer: b
Input: Problem: in a party every person shakes hands with every other person . if there were a total of 136 handshakes in the party then what is the number of persons present in the party ? 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: c
Input: Problem: bottle r contains 250 capsules and costs $ 6.25 . bottle t contains 100 capsules and costs $ 3.0 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? 
Options: a ) $ 0.25 , b ) $ 0.12 , c ) $ 0.05 , d ) $ 0.003 , e ) $ 0.005
Answer: e
Input: Problem: during a certain two - week period , 76 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? 
Options: a ) 16 a , b ) 19 a , c ) 17 a , d ) 18 a , e ) 20 a
Answer: b
Input: 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
Answer: a
Input: Problem: a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 38,000 , what will be the amount a receives ? 
Options: a ) 14700 , b ) 15960 , c ) 14900 , d ) 14300 , e ) 14000
Answer: b
Input: Problem: the value of x + x ( xx ) when x = 7 
Options: a ) a ) 350 , b ) b ) 346 , c ) c ) 358 , d ) d ) 336 , e ) e ) 364
Answer: a
Input: Problem: having received his weekly allowance , a student spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.40 at the candy store . what is this student ’ s weekly allowance ? 
Options: a ) $ 1.20 , b ) $ 1.50 , c ) $ 1.80 , d ) $ 2.00 , e ) $ 2.50
Answer: b
Input: Problem: how many multiples of 5 are there between 5 to 105 ? 
Options: a ) 9 , b ) 18 , c ) 17 , d ) none of these , e ) 19
Answer: e
Input: Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 28 sec , b ) 16 sec , c ) 34 sec , d ) 18 sec , e ) 17 sec
Answer: c
Input: Problem: ages of two persons differ by 22 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age 
Options: a ) 12,28 , b ) 14,30 , c ) 17,39 , d ) 18,34 , e ) 19,34
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 ) 130 , b ) 152 , c ) 225 , d ) 260 , e ) 180
Answer: a
Input: Problem: calculate the standard deviation of each data set { 10 , 1010 , 1010 } 
Options: a ) 8.05 , b ) 9 , c ) 10 , d ) 15 , e ) 15.5
Answer: a
Input: Problem: divide rs . 1400 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) 346 , b ) 368 , c ) 350 , d ) 337 , e ) 639
Answer: c
Input: Problem: simplify : 256 x 256 - 144 x 144 
Options: a ) 761200 , b ) 44800 , c ) 761800 , d ) 761500 , e ) none of them
Answer: b
Input: Problem: 3 candidates contested in an election and received 4136 , 7636 , 11628 votes respectively . what is the percentage of the total votes did the winning candidate get ? 
Options: a ) 45 % , b ) 49 % , c ) 50 % , d ) 51 % , e ) 62 %
Answer: c
Input: Problem: if a - b = 8 and a ^ 2 + b ^ 2 = 164 , find the value of ab 
Options: a ) 10 , b ) 12 , c ) 50 , d ) 18 , e ) 19
Answer: c
Input: Problem: a company decreased the price of its main product by 75 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? 
Options: a ) 1.33 , b ) 2.33 , c ) 3.33 , d ) 4.33 , e ) 1.45
Answer: a
Input: Problem: the average weight of 8 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ? 
Options: a ) 76 kg , b ) 77 kg , c ) 76.5 kg , d ) data inadequate , e ) none of these
Answer: b
Input: Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 45 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? 
Options: a ) 9 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 20 %
Answer: a
Input: Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 18 percent alcohol by volume ? 
Options: a ) 100 , b ) 150 , c ) 200 , d ) 250 , e ) 300
Answer: c
Input: Problem: claire has a total of 80 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? 
Options: a ) 39 , b ) 50 , c ) 54 , d ) 57 , e ) 36
Answer: e
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 8000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 32000 , d ) $ 10000 , e ) $ 9000
Answer: c
Input: Problem: the average marks of 30 students in a class is 60 . but a student mark is wrongly noted as 90 instead of 15 then find the correct average marks ? 
Options: a ) 55.65 , b ) 57.5 , c ) 62.5 , d ) 45.25 , e ) 50
Answer: b
Input: Problem: a bag contains 10 balls numbered from 0 to 9 . the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them . a person picked a ball and replaced it in the bag after noting its number . he repeated this process 2 more times . what is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third ? 
Options: a ) 72 / 100 , b ) 3 / 25 , c ) 4 / 5 , d ) 1 / 6 , e ) 1 / 9
Answer: b
Input: Problem: ? x 12 = 173 x 240 
Options: a ) 3460 , b ) 685 , c ) 865 , d ) 495 , e ) 534
Answer: a
Input: Problem: the average salary of all the workers in a workshop is $ 1000 . the average salary of 5 technicians is $ 5000 and the average salary of the rest is $ 500 . the total number of workers in the shop is ? 
Options: a ) 25 , b ) 20 , c ) 15 , d ) 30 , e ) 18
Answer: a
Input: Problem: 23 , 29 , 31 , 37 , 41 , 43 , ( . . . ) 
Options: a ) 53 , b ) 48 , c ) 59 , d ) 47 , e ) 50
Answer: d
Input: Problem: how many integers between 1 and 10 ^ 16 are such that the sum of their digits is 2 ? 
Options: a ) 106 , b ) 116 , c ) 126 , d ) 136 , e ) 146
Answer: d
Input: Problem: if ( 2 ^ 14 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? 
Options: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 14
Answer: e
Input: Problem: if ( a + b ) = 5 , ( b + c ) = 6 and ( c + d ) = 3 , what is the value of ( a + d ) ? 
Options: a ) 16 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 2 .
Answer: d
Input: Problem: in a certain country 1 / 5 of 8 = 4 . assuming the same proportion , what would be the value of 1 / 4 of 16 ? 
Options: a ) 13 , b ) 12 , c ) 10 , d ) 16 , e ) 14
Answer: c
Input: 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 . 250 per month . what is his monthly salary ? 
Options: a ) 5000 , b ) 2999 , c ) 2878 , d ) 6250 , e ) 2771
Answer: d
Input: Problem: what two - digit number is less than the sum of the square of its digits by 10 and exceeds their doubled product by 5 ? 
Options: a ) 94 , b ) 99 , c ) 26 , d ) 73 , e ) none of the above
Answer: a
Input: Problem: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 30 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? 
Options: a ) 35.67 % , b ) 64.75 % , c ) 68.57 % , d ) 69.10 % , e ) none of these
Answer: d
Input: Problem: calculate the share of y , if rs . 2690 is divided among x , y and z in the ratio 5 : 7 : 9 ? 
Options: a ) 890.7 , b ) 826.7 , c ) 895.7 , d ) 896.7 , e ) 816.7
Answer: d
Input: Problem: if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 4 , in terms of s ? 
Options: a ) s / 2 , b ) s , c ) 2 s , d ) 2 s + 2 , e ) 4 s
Answer: e
Input: Problem: if the average ( arithmetic mean ) of 10 consecutive odd integers is 154 , then the least of these integers is 
Options: a ) a ) 51 , b ) b ) 58 , c ) c ) 145 , d ) d ) 190 , e ) e ) 210
Answer: c
Input: Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 7 will be equal to : 
Options: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 49
Answer: e
Input: Problem: in the coordinate plane , points ( x , 5 ) and ( 9 , y ) are on line k . if line k passes through the origin and has slope 5 / 9 , then x - y = 
Options: a ) 4 , b ) 6 , c ) 5 , d ) 8 , e ) 7
Answer: a
Input: 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 ( ( 94 θ 33 ) θ 17 ) - ( 96 θ ( 33 θ 17 ) ) ? 
Options: a ) - 10 , b ) - 2 , c ) 8 , d ) 13 , e ) 17
Answer: d
Input: Problem: if 50 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ? 
Options: a ) 2.5 % , b ) 10 % , c ) 5 % , d ) 15 % , e ) 25 %
Answer: e
Input: Problem: oil cans x and y are right circular cylinders and the height and radius of y are each 5 times those of x . if the oil in can x filled to capacity sells for $ 1 , how much does the oil in y sell for if y is only 1 / 5 th filled ? 
Options: a ) $ 25 , b ) $ 26 , c ) $ 27 , d ) $ 28 , e ) $ 30
Answer: a
Input: 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
Answer: b
Input: Problem: the sum of all the integers k such that – 21 < k < 24 is 
Options: a ) 0 , b ) - 2 , c ) - 25 , d ) - 39 , e ) - 51
Answer: d
Input: Problem: what is the least common multiple of 15 , 22 and 24 ? 
Options: a ) 60 , b ) 120 , c ) 240 , d ) 1320 , e ) 1720
Answer: d
Input: Problem: in a tree , 3 / 7 of the birds are parrots while the rest are toucans . if 2 / 3 of the parrots are female and 7 / 10 of the toucans are female , what fraction of the birds in the tree are male ? 
Options: a ) 3 / 7 , b ) 11 / 35 , c ) 16 / 35 , d ) 31 / 70 , e ) 37 / 70
Answer: b
Input: Problem: i chose a number and divide it by 9 . then i subtracted 100 from the result and got 10 . what was the number i chose ? 
Options: a ) 600 , b ) 700 , c ) 990 , d ) 900 , e ) none
Answer: c
Input: Problem: a mixture of 125 gallons of wine and water contains 20 % water . how much water must be added to the mixture in order to increase the percentage of water to 25 % of the new mixture ? 
Options: a ) 10 glas , b ) 8.5 gals , c ) 8 gals , d ) 6.66 gals , e ) 8.33 gals
Answer: e
Input: Problem: a box contains 3 pairs of blue gloves and two pairs of green gloves . each pair consists of a left - hand glove and a right - hand glove . each of the gloves is separate from its mate and thoroughly mixed together with the others in the box . if 3 gloves are randomly selected from the box , what is the probability that a matched set ( i . e . , a left - and right - hand glove of the same color ) will be among the 3 gloves selected ? 
Options: a ) 3 / 10 , b ) 23 / 60 , c ) 7 / 12 , d ) 41 / 60 , e ) 5 / 6
Answer: d
Input: Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 60 as remainder . find the no . is ? 
Options: a ) 145646 , b ) 236578 , c ) 645353 , d ) 456546 , e ) 220060
Answer: e
Input: Problem: in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 5 % . what is population of after 2 year . 
Options: a ) 140 , b ) 141 , c ) 142 , d ) 143 , e ) 146
Answer: e
Input: Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 10 per square m ? 
Options: a ) s . 9500 , b ) s . 50000 , c ) s . 57000 , d ) s . 60000 , e ) s . 62000
Answer: a
Input: Problem: the instructions state that cheryl needs 4 / 9 square yards of one type of material and 2 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 18 square yards left that she did not use . what is the total amount of square yards of material cheryl used ? 
Options: a ) 1 / 12 , b ) 1 / 9 , c ) 2 / 3 , d ) 1 1 / 9 , e ) 2 1 / 9
Answer: c
Input: Problem: the initial price of an article is rs . 6000 which increases 40 % increse in its price in the first year , a 20 % decrease in the second year and a 20 % increase in the next year . what is the final price of the article ? 
Options: a ) rs . 5392 , b ) rs . 6392 , c ) rs . 8392 , d ) rs . 7392 , e ) rs . 9392
Answer: d
Input: Problem: if a 2 - b 2 = 10 and a * b = 5 , find a 4 + b 4 . 
Options: a ) 50 , b ) 100 , c ) 150 , d ) 92 , e ) 25
Answer: c
Input: Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1116 in total compensation , how many total hours did he work that week ? 
Options: a ) 36 , b ) 57 , c ) 44 , d ) 48 , e ) 52
Answer: b
Input: Problem: a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 104 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture . 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Answer: a
Input: Problem: the average age of 25 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? 
Options: a ) 31 , b ) 38 , c ) 39 , d ) 40 , e ) 57
Answer: b
Input: Problem: what is the 28 th digit to the right of the decimal point in the decimal form of 4 / 11 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 28 ? 
Options: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 12 , 6,16 , d ) 9 , 6,12 , e ) 9 , 2,23
Answer: c
Input: Problem: 300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 65 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ? 
Options: a ) 1 , b ) 25 , c ) 35 , d ) 45 , e ) 75
Answer: a
Input: Problem: the average weight of a , b and c is 65 kg . if the average weight of a and b be 60 kg and that of b and c be 70 kg , then the weight of a is : 
Options: a ) 55 kg , b ) 65 kg , c ) 75 kg , d ) 45 kg , e ) 63 kg
Answer: a
Input: Problem: in the xy - coordinate system , if ( m , n ) and ( m + 5 , n + k ) are two points on the line with the equation x = 2 y + 5 , then k = 
Options: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 5 / 2 , e ) 4
Answer: d
Input: Problem: divide rs . 1200 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) s . 800 , b ) s . 400 , c ) s . 600 , d ) s . 500 , e ) s . 300
Answer: e
Input: Problem: if ( c - a ) / ( c - b ) = 1 , then ( 5 b + 5 a ) / ( c - a ) = 
Options: a ) 10 , b ) 1 , c ) 1.5 , d ) 2 , e ) 2.5
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 99 cookies , what is the minimum number of chocolate chip cookies he makes ? 
Options: a ) 7 , b ) 14 , c ) 21 , d ) 28 , e ) 35
Answer: c
Input: Problem: the average age of 36 students in a group is 14 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? 
Options: a ) 31 , b ) 36 , c ) 41 , d ) 51 , e ) none
Answer: d
Input: Problem: every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` dog ' ' ? 
Options: a ) 72 , b ) 75 , c ) 78 , d ) 81 , e ) 84
Answer: c
Input: Problem: list i : { y , 2 , 4 , 7 , 10 , 11 } list ii : { 3 , 3 , 4 , 6 , 7 , 10 } if the median q of list i is equal to the sum of the median of list ii and the mode of list ii , then y equals 
Options: a ) 5 , b ) 7 , c ) 8 , d ) q = 9 , e ) 10
Answer: d
Input: Problem: if jake loses 5 pounds , he will weigh thrice as much as his sister . together they now weigh 285 pounds . what is jake ' s present weight , in pounds ? 
Options: a ) 131 , b ) 135 , c ) 139 , d ) 147 , e ) 215
Answer: e
Input: Problem: a grocer has a sale of rs . 5921 , rs . 5468 , rs . 5568 , rs . 6088 and rs . 6433 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5900 ? 
Options: a ) 4902 , b ) 4922 , c ) 5922 , d ) 5924 , e ) 5928
Answer: c
Input: Problem: a man engaged a servant on a condition that he ' ll pay rs 90 and also give him a bag at the end of the yr . he served for 9 months and was given a turban and rs 65 . so the price of turban is 
Options: a ) rs 10 , b ) rs 9 , c ) rs 0 , d ) rs 55 , e ) rs 8
Answer: a
Input: Problem: find the average of first 15 natural numbers . 
Options: a ) 10 , b ) 120 , c ) 15 , d ) 8 , e ) 16
Answer: d
Input: Problem: a certain company had a total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ? 
Options: a ) $ 20,000 , b ) $ 25,000 , c ) $ 35,000 , d ) $ 40,000 , e ) $ 45,000
Answer: c
Input: Problem: paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? 
Options: a ) 11 / 12 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 11 / 19
Answer: a
Input: Problem: two spies agreed to meet at a gas station between noon and 1 pm , but they have both forgotten the arranged time . each arrives at a random time between noon and 1 pm and stays for 6 minutes unless the other is there before the 6 minutes are up . assuming all random times are equally likely , what is the probability that they will meet within the hour ( noon to 1 pm ) ? 
Options: a ) 0.12 , b ) 0.15 , c ) 0.17 , d ) 0.19 , e ) 0.25
Answer: d
Input: Problem: how many multiples of 5 are there between 10 and 100 , exclusive ? 
Options: a ) 18 , b ) 17 , c ) 16 , d ) 15 , e ) 14
Answer: b
Input: Problem: hillary and eddy are climbing to the summit of mt . everest from a base camp 5000 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 1000 ft short of the summit and then descends at a rate of 1000 ft / hr , at what time do hillary and eddy pass each other on her return trip ? 
Options: a ) 11.0 , b ) 12.0 , c ) 13.0 , d ) 14.0 , e ) 15.0
Answer: b
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.2 years , the ratio of the number of boys to the number of girls in the class is 
Options: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 1 : 1
Answer: e
Input: Problem: 3 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 ) 15 , c ) 18 , d ) 36 , e ) 24
Answer: d
Input: Problem: in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 3 the number that used kennedy airport and 4 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ? 
Options: a ) 18.6 , b ) 9.3 , c ) 6.2 , d ) 3.1 , e ) 1.01
Answer: e
Input: Problem: when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 52.416 is divided by 0.68 ? 
Options: a ) 5 , b ) 6 , c ) 4 , d ) 3 , e ) 8
Answer: d
Input: Problem: in an examination , the percentage of students qualified to the number of students appeared from school a is 70 % . in school b , the number of students appeared is 20 % more than the students appeared from school a and the number of students qualified from school b is 50 % more than the students qualified from school a . what is the percentage of students qualified to the number of students appeared from school b ? 
Options: a ) 30 % , b ) 70 % , c ) 80 % , d ) 87.5 % , e ) none
Answer: d
Input: Problem: in the faculty of reverse - engineering , 500 second year students study numeric methods , 300 second year students study automatic control of airborne vehicles and 300 second year students study them both . how many students are there in the faculty if the second year students are approximately 50 % of the total ? 
Options: a ) 1100 , b ) 1200 , c ) 1150 , d ) 1000 , e ) 1050
Answer: d
Input: Problem: the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year , less the age of the tree in years ( rounded down to the nearest integer ) . during its 4 th year , the plum tree grew 50 plums . if this trend continues , how many plums will it grow during its 6 th year ? 
Options: a ) 36 , b ) 41 , c ) 38 , d ) 40 , e ) 42
Answer: b
Input: Problem: if 1488 / 1.24 = 1200 , then 148.8 / 12.4 is equal to ? 
Options: a ) 17 , b ) 10 , c ) 14 , d ) 12 , e ) 11
Answer: d
Input: Problem: if xy > 0 , 1 / x + 1 / y = 2 , and 1 / xy = 8 , then ( x + y ) / 4 = ? 
Options: a ) 1 / 16 , b ) 1 / 6 , c ) 1 / 5 , d ) 5 , e ) 6
Answer: a
Input: Problem: in a can , there is a mixture of milk and water in the ratio 4 : 3 . if the can is filled with an additional 8 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ? 
Options: a ) 40 , b ) 36 , c ) 32 , d ) 28 , e ) 24
Answer: b
Input: Problem: what is the least whole number that should be added to 784839 if it is to be divisible by 10 ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 5 , e ) 6
Answer: c
Input: Problem: a man has rs . 400 in the denominations of one - rupee notes , 5 - rupee notes and 10 rupee notes . the number of notes of each denomination is equal . what is the total number of notes that he has ? 
Options: a ) 45 , b ) 60 , c ) 75 , d ) 90 , e ) 95
Answer: c
Input: Problem: a number is doubled and 15 is added . if resultant is trebled , it becomes 75 . what is that number 
Options: a ) 8 , b ) 10 , c ) 5 , d ) 14 , e ) 7
Answer: c
Input: Problem: if s = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between 
Options: a ) 0 and 3 , b ) 3 and 6 , c ) 6 and 9 , d ) 9 and 12 , e ) 12 and 15
Answer: b
Input: Problem: the difference between the heights of two trees is 20 cm . 10 years ago , the taller one was thrice as taller as the shorter one . the present height of the taller tree is 
Options: a ) 300 cm , b ) 15 cm , c ) 20 cm , d ) 10 cm , e ) 40 cm
Answer: a
Input: Problem: i chose a number and divide it by 4 . then i subtracted 175 from the result and got 10 . what was the number i chose ? 
Options: a ) 200 , b ) 740 , c ) 780 , d ) 500 , e ) 100
Answer: b
Input: Problem: what is the remainder when 3 ^ 33 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: d
Input: Problem: a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 3 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? 
Options: a ) 11 , b ) 13 , c ) 17 , d ) 49 / 5 , e ) 23
Answer: d
Input: Problem: if a * b = 2 a – 3 b + ab , then 5 * 7 + 7 * 5 is equal to : 
Options: a ) 34 , b ) 18 , c ) 72 , d ) 78 , e ) 82
Answer: a
Input: Problem: let the number which when multiplied by 16 is increased by 375 . 
Options: a ) 14 , b ) 20 , c ) 26 , d ) 25 , e ) 30
Answer: d
Input: Problem: if w is 40 percent less than x , x is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ? 
Options: a ) 4 % , b ) 18 % , c ) 36 % , d ) 40 % , e ) 50 %
Answer: e
Input: Problem: a salesman commission is 5 % on all sales upto $ 10000 and 4 % on all sales exceeding this . he remits $ 31100 to his parent company after deducting his commission . find the total sales ? 
Options: a ) $ 30000 , b ) $ 32500 , c ) $ 35120 , d ) $ 41520 , e ) $ 25460
Answer: b
Input: Problem: if the remainder is 16 when the integer n is divided by 30 , what is the remainder when 2 n is divided by 15 ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: b
Input: Problem: a ’ s speed is 17 / 14 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? 
Options: a ) 1 / 14 , b ) 1 / 17 , c ) 3 / 14 , d ) 3 / 17 , e ) 1 / 31
Answer: d
Input: Problem: the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is : 
Options: a ) 23 , b ) 20 , c ) 12 , d ) 128 , e ) 171
Answer: a
Input: Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? 
Options: a ) 7 / 17 , b ) 13 / 33 , c ) 7 / 15 , d ) 17 / 35 , e ) 1 / 2
Answer: b
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 47 was wrongly taken as 23 . the corrected new mean is 
Options: a ) 35.24 , b ) 36.16 , c ) 36.22 , d ) 36.48 , e ) none
Answer: d
Input: Problem: 80 370 860 1550 2440 ? 
Options: a ) 900 , b ) 840 , c ) 750 , d ) 860 , e ) 3530
Answer: e
Input: Problem: how many positive integers less than 5,000 are evenly divisible by neither 14 nor 21 ? 
Options: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349
Answer: e
Input: Problem: a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 21 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? 
Options: a ) 36 , b ) 42 , c ) 45 , d ) 48 , e ) 51
Answer: b
Input: Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 120 ? 
Options: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 50
Answer: a
Input: Problem: calculate 469157 x 9999 = ? 
Options: a ) 4586970843 , b ) 4686970743 , c ) 4691100843 , d ) 4586870843 , e ) none
Answer: c
Input: Problem: the population of a town increased from 1 , 75,000 to 2 , 10,000 in a decade . the average percent increase of population per year is 
Options: a ) 2 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) none
Answer: a
Input: Problem: the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 2 / 5 of that total . what was the price of the basic computer ? 
Options: a ) 1300 , b ) 1600 , c ) 1750 , d ) 1900 , e ) 2000
Answer: a
Input: Problem: a no . when divided by 242 gives a remainder 100 , what remainder will be obtainedby dividingthe same no . 18 ? 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: e
Input: Problem: if rs . 510 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? 
Options: a ) rs . 300 , b ) rs . 360 , c ) rs . 389 , d ) rs . 368 , e ) rs . 323
Answer: b
Input: Problem: x , y , and z are different prime numbers . the product x ^ 3 * y ^ 2 * z ^ 2 is divisible by how many different positive numbers ? 
Options: a ) 24 , b ) 36 , c ) 48 , d ) 60 , e ) 72
Answer: b
Input: Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 34 ) ? 
Options: a ) 2 , b ) 7 , c ) 13 , d ) 17 , e ) 19
Answer: d
Input: Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 34 from each observations . what is the the updated mean is ? 
Options: a ) 165 , b ) 166 , c ) 190 , d ) 198 , e ) 199
Answer: b
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 50 bricks in the wall , how many bricks does the bottom row contain ? 
Options: a ) 12 , b ) 10 , c ) 9 , d ) 8 , e ) 11
Answer: d
Input: Problem: if the sum of the 4 th term and the 12 th term of an arithmetic progression is 16 , what is the sum of the first 15 terms of the progression ? 
Options: a ) 80 , b ) 100 , c ) 105 , d ) 120 , e ) 110
Answer: d
Input: Problem: there are 10 teams in a certain league and each team plays each of the other teams exactly once . what is the total number of games played ? 
Options: a ) 30 , b ) 36 , c ) 42 , d ) 45 , e ) 50
Answer: d
Input: Problem: a large field of 700700 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? 
Options: a ) 400 , b ) 365 , c ) 385 , d ) 315 , e ) 355
Answer: d
Input: Problem: if ( x + 3 ) ^ 2 / ( 3 x + 65 ) = 2 , then the difference between the two possible values of x is : 
Options: a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24
Answer: d
Input: Problem: if ( n + 2 ) ! = 2550 ( n ! ) ; find ’ n ’ 
Options: a ) 38 , b ) 35 , c ) 49 , d ) 43 , e ) 34
Answer: c
Input: Problem: in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 5720 votes were polled , then how many valid votes did b get ? 
Options: a ) 1859 , b ) 2999 , c ) 2834 , d ) 2777 , e ) 2991
Answer: a
Input: Problem: on dividing 17698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? 
Options: a ) 199 , b ) 154 , c ) 852 , d ) 741 , e ) 785
Answer: a
Input: Problem: . 008 / ? = . 01 
Options: a ) . 8 , b ) . 09 , c ) . 009 , d ) . 0009 , e ) none of them
Answer: a
Input: Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 32.49 , the number of the member is the group is : 
Options: a ) 57 , b ) 67 , c ) 77 , d ) 87 , e ) 97
Answer: a
Input: Problem: find the remainder q when 12 ^ 190 is divided by 1729 ? 
Options: a ) 12 , b ) 1 , c ) 1728 , d ) 1717 , e ) 4
Answer: d
Input: Problem: two trains of equal are running on parallel lines in the same direction at 47 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? 
Options: a ) 50 , b ) 88 , c ) 66 , d ) 55 , e ) 22
Answer: d
Input: Problem: the grade point average of the entire class is 84 . if the average of one fourth of the class is 96 , what is the average of the rest of the class ? 
Options: a ) 76 , b ) 77 , c ) 78 , d ) 79 , e ) 80
Answer: e
Input: Problem: an ant walks an average of 600 meters in 12 minutes . a beetle walks 15 % less distance at the same time on the average . assuming the beetle walks at her regular rate , what is its speed in km / h ? 
Options: a ) 2.215 . , b ) 2.55 , c ) 2.775 . , d ) 3.2 . , e ) 3.5 .
Answer: b
Input: Problem: the average monthly salary of 20 employees in an organisation is rs . 1700 . if the manager ' s salary is added , then the average salary increases by rs . 100 . what is the manager ' s monthly salary ? 
Options: a ) rs . 6003 , b ) rs . 3800 , c ) rs . 1288 , d ) rs . 6108 , e ) rs . 6011
Answer: b
Input: Problem: if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is 
Options: a ) 54.48 , b ) 53.31 , c ) 54.6 , d ) 54.58 , e ) none of these
Answer: b
Input: Problem: a box contains 8 apples , 7 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: a , b and c started a business with a total investment of rs . 90000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find b ' s share . 
Options: a ) rs . 2592 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these
Answer: a
Input: Problem: salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 10 percent of a ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ? 
Options: a ) $ 21,000 , b ) $ 18,000 , c ) $ 15,00 , d ) $ 4,500 , e ) $ 15,000
Answer: e
Input: Problem: if a farmer sells 15 of his goats , his stock of feed will last for 4 more days than planned , but if he buys 20 more goats , he will run out of feed 3 days earlier than planned . if no goats are sold or bought , the farmer will be exactly on schedule . how many goats does the farmer have ? 
Options: a ) 12 , b ) 24 , c ) 48 , d ) 60 , e ) 55
Answer: d
Input: Problem: the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 21 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ? 
Options: a ) 347.8 , b ) 987.8 , c ) 877.8 , d ) 898.8 , e ) 667.4
Answer: d