Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: dacid obtained 96 , 95 , 82 , 87 and 92 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? 
Options: a ) 67 , b ) 26 , c ) 87 , d ) 26 , e ) 90
Answer: e
Input: Problem: how many integers between 265,205 and 758,805 have tens digit 1 and units digit 3 ? 
Options: a ) 4,629 , b ) 4,639 , c ) 3,946 , d ) 4,926 , e ) 4,936
Answer: e
Input: Problem: average age of students of an adult school is 46 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . 
Options: a ) 1200 , b ) 120 , c ) 360 , d ) 168 , e ) none of these
Answer: d
Input: Problem: there are 2 sections a and b in a class , consisting of 60 and 70 students respectively . if the average weight of section a is 60 kg and that of section b is 80 kg , find the average of the whole class ? 
Options: a ) 50.78 kg , b ) 49.32 kg , c ) 70.76 kg , d ) 69.15 kg , e ) 70.89 kg
Answer: c
Input: Problem: he average weight of 6 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 75 kg , b ) 55 kg , c ) 45 kg , d ) 80 kg , e ) 25 kg
Answer: d
Input: Problem: a parking garage rents parking spaces for $ 10 per week or $ 25 per month . how much does a person save in a year by renting by the month rather than by the week ? 
Options: a ) $ 120 , b ) $ 160 , c ) $ 220 , d ) $ 240 , e ) $ 260
Answer: a
Input: Problem: a library has an average of 140 visitors on sundays and 80 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : 
Options: a ) 90 , b ) 100 , c ) 105 , d ) 110 , e ) 125
Answer: a
Input: Problem: a batsman in his 12 th innings makes a score of 65 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? 
Options: a ) 42 , b ) 43 , c ) 44 , d ) 45 , e ) 46
Answer: b
Input: Problem: what is the range of all the roots of | x ^ 2 - 1 | = x ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: d
Input: Problem: a man engaged a servant on the condition that he would pay him rs . 710 and a uniform after a year service . he served only for 8 months and got rs . 460 and a uniform . find the price of the uniform ? 
Options: a ) rs . 40 , b ) rs . 30 , c ) rs . 25 , d ) rs . 20 , e ) rs . 45
Answer: a
Input: Problem: tough and tricky questions : word problems . if bill ' s salary increased by 16 percent , he would earn $ 812 per month . if instead , his salary were to increase by only 10 percent , how much money r would he earn per month ? 
Options: a ) $ 700 , b ) $ 754 , c ) $ 770 , d ) $ 782 , e ) $ 893
Answer: c
Input: Problem: of the 80 people in a room , 2 / 5 are women . if 1 / 2 of the people are married , what is the maximum number of women in the room who could be unmarried ? 
Options: a ) 20 , b ) 22 , c ) 26 , d ) 30 , e ) 32
Answer: e
Input: Problem: in what ratio p : q should the mixture p of milk and water in the ratio of 6 : 1 be mixed with another mixture q of milk and water in the ratio 3 : 4 so that the resultant mixture contains equal quantities of milk and water ? 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 3 : 4
Answer: c
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 150 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 ) 600
Answer: e
Input: Problem: 6 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? 
Options: a ) 19 , b ) 20 , c ) 30 , d ) 33 , e ) 34
Answer: c
Input: Problem: two - third of a positive number and 49 / 216 of its reciprocal are equal . the number is : 
Options: a ) 5 / 12 , b ) 7 / 12 , c ) 25 / 144 , d ) 144 / 25 , e ) 146 / 25
Answer: b
Input: Problem: find the average of first 4 multiples of 11 ? 
Options: a ) 10 , b ) 12.6 , c ) 27.5 , d ) 31.3 , e ) 40.8
Answer: c
Input: Problem: what is the sum of all possible solutions to | x - 4 | ^ 2 + | x - 4 | = 12 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: there are 200 female managers in a certain company . find the total number y of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . 
Options: a ) 300 , b ) y = 400 , c ) y = 500 , d ) y = 600 , e ) none of these
Answer: c
Input: Problem: the expenditure of an woman increase consistently by 30 % per year . if her present expenditure is rs . 1000 then what will her expenditure be after 3 years ? 
Options: a ) 2107 , b ) 2197 , c ) 2187 , d ) 2177 , e ) 2167
Answer: b
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 $ 200 , what is the fewest number of $ 4 frisbees that could have been sold ? 
Options: a ) 24 , b ) 8 , c ) 12 , d ) 4 , e ) 2
Answer: b
Input: Problem: a small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? 
Options: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1750
Answer: e
Input: Problem: craig sells major appliances . for each appliance he sells , craig receives a commission of $ 50 plus 10 percent of the selling price . during one particular week craig sold 6 appliances for selling prices totaling $ 3620 . what was the total of craig ' s commissions for that week ? 
Options: a ) $ 412 , b ) $ 526 , c ) $ 585 , d ) $ 605 , e ) $ 662
Answer: e
Input: Problem: a bell curve ( normal distribution ) has a mean of − 1 and a standard deviation of 1 / 8 . how many integer values z are within 3 standard deviations of the mean ? 
Options: a ) 0 , b ) 1 , c ) 3 , d ) 6 , e ) 7
Answer: b
Input: Problem: machine x takes 80 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce 
Options: a ) 100 , b ) 65 , c ) 25 , d ) 11 , e ) 2.25
Answer: e
Input: Problem: on a certain planet where people usually tend to live for more than a century , the ratio of present ages of father and son is 7 : 4 . 10 years later , the ratio of their ages will be 5 : 3 . what is the sum of their present ages ? 
Options: a ) 220 , b ) 200 , c ) 140 , d ) 80 , e ) 60
Answer: a
Input: Problem: let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 81 th number in this set ? 
Options: a ) 605 , b ) 608 , c ) 613 , d ) 616 , e ) 645
Answer: e
Input: Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ? 
Options: a ) 198 , b ) 288 , c ) 363 , d ) 396 , e ) 468
Answer: e
Input: Problem: find value for x from below equation ? x + 1 = - 3 
Options: a ) 1 , b ) - 4 , c ) - 1 , d ) 2 , e ) 3
Answer: b
Input: Problem: a person x started at 3 hours earlier at 40 km / h from a place p , then another person y followed him at 60 km / h . started his journey at 3 o ' clock , afternoon . what is the diference in time when x was 30 km ahead of y and when y was 30 km ahead of x ? 
Options: a ) 8 h , b ) 3 h , c ) 6 h , d ) 3 h , e ) 1 h
Answer: b
Input: Problem: a car travels a certain distance taking 7 hrs in forward journey , during the return journey increased speed 12 km / hr takes the times 5 hrs . what is the distance traveled 
Options: a ) 210 kms , b ) 30 kms , c ) 20 kms , d ) 40 kms , e ) none of these
Answer: a
Input: Problem: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 6 x is divided by 9 ? 
Options: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 6
Answer: c
Input: Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 7 ? 
Options: a ) 4 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7
Answer: a
Input: Problem: 892.7 – 573.07 – 95.007 = ? 
Options: a ) 224.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these
Answer: a
Input: Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 9 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 15 left in his pocket . what was the value of n ? 
Options: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68
Answer: c
Input: Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.45 – 6.45 * ? 
Options: a ) 0.45 , b ) 0.5 , c ) 6.45 , d ) 0.25 , e ) 6.0
Answer: a
Input: Problem: if 5 < x < 8 < y < 13 , then what is the greatest possible positive integer difference of x and y ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: 4 milkmen rented a pasture . a grazed 24 cows for 3 months , b 10 cows for 5 months , c 35 cows for 4 months and d 21 cows for 3 months . if a ’ s share of rent is rs . 720 , find the total rent of the field . 
Options: a ) rs . 3250 , b ) rs . 3350 , c ) rs . 3450 , d ) rs . 3550 , e ) rs . 3650
Answer: a
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 4500 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 31500 , d ) 34000 , e ) none of these
Answer: c
Input: Problem: if x = 1 / q and y = ( 2 / q ) - 6 , then for what value of q , x is equal to y ? 
Options: a ) 1 / 3 , b ) 1 / 6 , c ) 6 , d ) 3 , e ) 2
Answer: b
Input: Problem: the 15 homes in a new development are each to be sold for one of 3 different prices so that the developer receives an average ( arithmetic mean ) of $ 200000 per home . if 4 of the homes are to be sold for $ 170000 each and 5 are to be sold for $ 200000 each , what will be the selling price of each of the remaining 8 homes ? 
Options: a ) $ 200,000 , b ) $ 210,000 , c ) $ 215,000 , d ) $ 220,000 , e ) $ 230,000
Answer: c
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 10 . if n / j = 205.08 , what is value of j ? 
Options: a ) 125 , b ) 100 , c ) 75 , d ) 150 , e ) 50
Answer: a
Input: Problem: 3 machines operating independently , simultaneously , and at the same constant rate can fill a certain production order in 44 hours . if one additional machine were used under the same operating conditions , in how manyfewerhours of simultaneous operation could the production order be fulfilled ? 
Options: a ) 6 , b ) 9 , c ) 12 , d ) 11 , e ) 48
Answer: d
Input: Problem: tough and tricky questions : combinations . 8 contestants representing 4 different countries advance to the finals of a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ? 
Options: a ) 6 , b ) 7 , c ) 12 , d ) 16 , e ) 24
Answer: e
Input: Problem: set a contains all the even numbers between 22 and 70 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? 
Options: a ) 600 , b ) 800 , c ) 1000 , d ) 1200 , e ) 1400
Answer: c
Input: Problem: if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 10 , inclusive , what is the probability that x + y will be even ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Answer: a
Input: Problem: the average runs scored by a batsman in 20 matches is 40 . in the next 10 matches the batsman scored an average of 20 runs . find his average in all the 30 matches ? 
Options: a ) 31 , b ) 46 , c ) 88 , d ) 33.33 , e ) 12
Answer: d
Input: Problem: at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 52 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 44 ¢ ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: 0.363 * 0.522 + 0.363 * 0.478 = ? 
Options: a ) 0.522 , b ) 0.845 , c ) 0.363 , d ) 0.985 , e ) 0.885
Answer: c
Input: Problem: there are cats got together and decided to kill the mice of 999975 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ? 
Options: a ) 941,1009 , b ) 991,1001 , c ) 995,1005 , d ) 791,1009 , e ) 931,1009
Answer: c
Input: Problem: at 1 : 00 pm , there were 10.0 grams of bacteria . the bacteria increased to x grams at 4 : 00 pm , and 25.6 grams at 7 : 00 pm . if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods , how many grams of bacteria were present at 4 : 00 pm ? 
Options: a ) 15.1 , b ) 15.4 , c ) 15.7 , d ) 16.0 , e ) 16.3
Answer: d
Input: Problem: each of the integers from 1 to 15 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ? 
Options: a ) 9 , b ) 12 , c ) 11 , d ) 10 , e ) 3
Answer: a
Input: Problem: matt gets a $ 1,600 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 400 , how many sales has matt made ? 
Options: a ) 9 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: if sum of two no . is 12 and subtraction to that is 4 . so how much min . should added to smaller no . to make it even ? 
Options: a ) 1 , b ) 2 , c ) 0.5 , d ) 1.5 , e ) 0
Answer: e
Input: Problem: of the 3,600 employees of company x , 16 / 25 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ? 
Options: a ) 57 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.1 %
Answer: a
Input: Problem: jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 12 years ago . what is the current age of the oldest person for whom jane could have baby - sat ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Answer: d
Input: Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ? 
Options: a ) - 0.71 , b ) - 2.13 , c ) 1.07 , d ) 1.71 , e ) 2.71
Answer: b
Input: Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 245 , what is the difference between the ages of patrick and monica ? 
Options: a ) 27 , b ) 48 , c ) 80 , d ) 72 , e ) 18
Answer: c
Input: Problem: the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 12 km / hr respectively . they will meet for the first time in ? 
Options: a ) 32 min , b ) 40 min , c ) 35 min , d ) 25 min , e ) 20 min
Answer: a
Input: Problem: sum of the squares of 3 no . ' s is 267 and the sum of their products taken two at a time is 131 . find the sum ? 
Options: a ) 20 , b ) 24 , c ) 26 , d ) 23 , e ) 30
Answer: d
Input: Problem: ( 9 ^ 5.6 x 9 ^ 10.3 ) ÷ 9 ^ 2.56256 = 9 ^ ? 
Options: a ) 11.34 , b ) 12.34 , c ) 13.34 , d ) 14.34 , e ) 15.34
Answer: c
Input: Problem: can you please walk me through how to best approach this problem ? thanks if # p # = ap ^ 3 + bp – 1 where a and b are constants , and # - 5 # = 10 , what is the value of # 5 # ? 
Options: a ) 5 , b ) - 12 , c ) - 2 , d ) - 3 , e ) - 5
Answer: b
Input: Problem: the smallest value of n , for which n + 3 is not a prime number , is 
Options: a ) 1 , b ) 2 , c ) 6 , d ) 8 , e ) 3
Answer: e
Input: Problem: buffalo gives 4 liter milk , cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk . you have to get 20 liter milk by 20 animals . what is the number of goats ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 12 more photos than claire . how many photos has claire taken ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Answer: a
Input: Problem: 11 + 12 + 13 + . . . 51 + 52 = ? 
Options: a ) 1361 , b ) 1362 , c ) 1323 , d ) 1364 , e ) 1365
Answer: c
Input: Problem: a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 6 times the number available before the new tower was built . currently , 1 / 3 of the hospital ' s original beds , as well as 1 / 5 of the beds in the new tower , are occupied . for the purposes of renovating the hospital ' s original wing , all of the patients in the hospital ' s original beds must be transferred to beds in the new tower . if patients are neither admitted nor discharged during the transfer , what fraction of the beds in the new tower will be unoccupied once the transfer is complete ? 
Options: a ) 11 / 30 , b ) 29 / 60 , c ) 17 / 30 , d ) 19 / 30 , e ) 11 / 15
Answer: e
Input: Problem: the average weight of 10 persons increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 107 kg , b ) 80 kg , c ) 120 kg , d ) 90 kg , e ) 100
Answer: a
Input: Problem: in the coordinate plane , points ( x , 2 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = 
Options: a ) 4.5 , b ) 7 , c ) 9 , d ) 11 , e ) 12
Answer: c
Input: Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 46 kg , then the weight of b is : 
Options: a ) 17 kg , b ) 20 kg , c ) 26 kg , d ) 31 kg , e ) 37 kg
Answer: e
Input: Problem: how many numbers between 190 and 580 are divisible by 4,5 and 6 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: if a # b = ab – b + b ^ 2 , then 3 # 6 = 
Options: a ) 2 , b ) 8 , c ) 15 , d ) 21 , e ) 48
Answer: e
Input: Problem: how many integers between 1 and 10 ^ 20 are such that the sum of their digits is 2 ? 
Options: a ) 190 , b ) 210 , c ) 211 , d ) 230 , e ) 231
Answer: b
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 13 years and that of the other 9 students is 16 years , the age of the 15 th student is 
Options: a ) 11 , b ) 16 , c ) 13 , d ) 14 , e ) 15
Answer: b
Input: Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ? 
Options: a ) q = 200 , b ) q = 600 , c ) q = 800 , d ) q = 1600 , e ) q = 50
Answer: d
Input: Problem: find the greatest number which leaves the same remainder when it divides 21 , 57 and 105 . 
Options: a ) 18 , b ) 8 , c ) 12 , d ) 16 , e ) none of these
Answer: c
Input: Problem: from 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer ? 
Options: a ) 150 , b ) 164 , c ) 259 , d ) 311 , e ) 224
Answer: e
Input: Problem: how many of the positive divisors of 720 are also multiples of 4 not including 720 ? 
Options: a ) 11 , b ) 12 , c ) 17 , d ) 18 , e ) 24
Answer: c
Input: Problem: 5 n + 2 > 12 and 7 n - 5 < 23 ; n must be between which numbers ? 
Options: a ) 1 and 8 , b ) 2 and 4 , c ) 0 and 9 , d ) 2 and 7 , e ) 2 and 9
Answer: b
Input: Problem: the sum of the ages of 5 children born at the intervals of 3 years each is 50 years . what is the age of the youngest child ? 
Options: a ) 4 years , b ) 8 years , c ) 10 years , d ) 12 years , e ) none of these
Answer: a
Input: Problem: if n is a positive integer and n ^ 2 is divisible by 18 , then what is the largest positive integer that must divide n ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Answer: c
Input: Problem: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 3 % sugar by weight . to make a delicious and healthy mixture that is 4 % sugar , what should be the ratio of cereal a to cereal b , by weight ? 
Options: a ) 2 : 9 , b ) 2 : 7 , c ) 1 : 6 , d ) 1 : 4 , e ) 1 : 3
Answer: c
Input: Problem: for what value of x , is | x – 2 | + | x + 5 | + | x | = 17 ? 
Options: a ) 0 , b ) 3 , c ) - 3 , d ) 5 , e ) - 5
Answer: d
Input: Problem: the difference between a two - digit number and the number obtained by interchanging the two digits is 63 . which is the smaller of the two numbers ? 
Options: a ) 29 , b ) 70 , c ) 92 , d ) can not be determined , e ) none of these
Answer: d
Input: Problem: when a = x + ( 3 / x ) and b = x - ( 3 / x ) , ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) = ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 4096
Answer: e
Input: Problem: on the number line , if x is halfway between - 4 and 4 , and if y is halfway between - 2 and 6 , what number is halfway between x and y ? 
Options: a ) - 1 , b ) - 1 / 2 , c ) 0 , d ) 1 / 2 , e ) 1
Answer: e
Input: Problem: a man can swim in still water at 9 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ? 
Options: a ) 1.7 , b ) 1.9 , c ) 3 , d ) 1.5 , e ) 1.2
Answer: c
Input: Problem: a grocer has a sale of rs . 5266 , rs . 5744 , rs . 5864 , rs . 6122 and rs . 6588 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5750 ? 
Options: a ) 4016 , b ) 4076 , c ) 4816 , d ) 4916 , e ) 5916
Answer: d
Input: Problem: robert ate 9 chocolates , nickel ate 2 chocolates . how many more chocolates did robert ate than nickel ? 
Options: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2
Answer: b
Input: Problem: one - fourth of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 72 workers in the palabras bookstore , how many of them have read both books ? 
Options: a ) 13 , b ) 12 , c ) 9 , d ) 8 , e ) 4
Answer: e
Input: Problem: find the value of ( 875 233 / 899 ) × 899 
Options: a ) 786845 , b ) 786857 , c ) 786858 , d ) 786859 , e ) 786860
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 3000 as profit , what is their total profit ? 
Options: a ) 21000 , b ) 30000 , c ) 32000 , d ) 34000 , e ) none of these
Answer: a
Input: Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 22000 , my total savings for the two - year is 
Options: a ) s . 8000 , b ) s . 9000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000
Answer: b
Input: Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 130 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 ) 37 sec , d ) 18 sec , e ) 17 sec
Answer: c
Input: Problem: in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 23 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture . 
Options: a ) 9 / 8 , b ) 4 / 1 , c ) 2 / 3 , d ) 3 / 4 , e ) 3 / 2
Answer: a
Input: Problem: in the coordinate plane , points ( x , 2 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x - y = 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: b
Input: Problem: a high school has 400 students 1 / 2 attend the airthmetic club , 5 / 8 attend the biology club and 3 / 4 attend the chemistry club . 1 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs . 
Options: a ) 300 , b ) 200 , c ) 250 , d ) 150 , e ) 160
Answer: c
Input: Problem: in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 5 ohms and y is 6 ohms ? 
Options: a ) 7 / 30 , b ) 11 / 30 , c ) 11 / 15 , d ) 30 / 11 , e ) 15 / 11
Answer: d
Input: Problem: a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is ? 
Options: a ) 1 , b ) 2 , c ) 6 , d ) 8 , e ) 9
Answer: b
Input: Problem: 160 % of 5 / 8 = 
Options: a ) 0.2 , b ) 0.5 , c ) 0.6 , d ) 0.75 , e ) 1.0
Answer: e
Input: Problem: in a group of ducks and cows , the total number of legs are 30 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 18
Answer: d
Input: Problem: s is a set of 85 consecutive multiples of 5 . if the smallest number in s is 90 , then the greatest number in s is 
Options: a ) 158 , b ) 597 , c ) 599 , d ) 402 , e ) 510
Answer: e
Input: Problem: 1 = 1,2 = 2,3 = 9,4 = 16,5 = 25 , then 9 = ? 
Options: a ) 1 , b ) 255 , c ) 3 , d ) 445 , e ) 235
Answer: c
Input: Problem: the least number which when divided by 4 , 6 , 7 and 8 leaves a remainder 6 , but when divided by 9 leaves no remainder , is 
Options: a ) 340 , b ) 342 , c ) 523 , d ) 363 , e ) none of these
Answer: b
Input: Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 23
Answer: e
Input: Problem: how many figures are required to number the pages the pages of a book containing 2200 pages ? 
Options: a ) 7593 , b ) 6693 , c ) 7693 , d ) 7793 , e ) 7893
Answer: c
Input: Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 150000 , find the cost of a camel ? 
Options: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 6000 , e ) s . 6880
Answer: d
Input: Problem: a man is 30 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 ) 14 years , b ) 28 years , c ) 20 years , d ) 22 years , e ) none
Answer: b
Input: Problem: williams works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 10 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? 
Options: a ) 5 / 8 , b ) 7 / 8 , c ) 6 / 8 , d ) 2 / 9 , e ) 1 / 7
Answer: a
Input: Problem: the average of 13 numbers is 60 . average of the first 7 of them is 56 and that of the last 7 is 61 . find the 8 th number ? 
Options: a ) 39 , b ) 83 , c ) 45 , d ) 53 , e ) 64
Answer: a
Input: Problem: for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 45 true ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: b
Input: Problem: ( 26.3 * 12 * 20 ) / 3 + 125 = ? 
Options: a ) 2339 , b ) 2229 , c ) 4429 , d ) 5529 , e ) 2669
Answer: b
Input: Problem: how much is 80 % of 40 is greater than 2 / 5 of 25 ? 
Options: a ) 22 , b ) 27 , c ) 18 , d ) 12 , e ) 81
Answer: a
Input: Problem: there are 11 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 ) 35 , b ) 45 , c ) 55 , d ) 65 , e ) 75
Answer: c
Input: Problem: 1 + 2 = 10 2 + 3 = 26 3 + 4 = 50 then 4 + 5 = ? 
Options: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 84
Answer: c
Input: Problem: the difference of two numbers is 11 and one fifth of their sum is 9 . the numbers are : 
Options: a ) 31 , 20 , b ) 30 , 19 , c ) 29 , 18 , d ) 28 , 17 , e ) none
Answer: d
Input: Problem: in the faculty of reverse - engineering , 300 second year students study numeric methods , 600 second year students study automatic control of airborne vehicles and 200 second year students study them both . how many students are there in the faculty if the second year students are approximately 70 % of the total ? 
Options: a ) 750 , b ) 800 , c ) 900 , d ) 950 , e ) 1000
Answer: e
Input: Problem: in a mixed college 160 students are there in one class . out of this 160 students 3 / 5 students are girls . how many boys are there ? 
Options: a ) a ) 40 , b ) b ) 64 , c ) c ) 80 , d ) d ) 120 , e ) e ) 140
Answer: b
Input: Problem: if the price of a certain computer increased 30 percent from d dollars to 377 dollars , then 2 d = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 580
Answer: e
Input: Problem: what is the sum of the 1 st 5 prime numbers greater than 20 ? 
Options: a ) 121 , b ) 151 , c ) 168 , d ) 164 , e ) 161
Answer: e
Input: Problem: 3 bottles contain equal mixtures of spirit and water in the ratio 6 : 1 , 5 : 2 and 3 : 1 respectively . if all the solutions are mixed together , the ratio of spirit to water in the final mixture will be 
Options: a ) 64 : 65 , b ) 65 : 64 , c ) 19 : 65 , d ) 65 : 19 , e ) none of these
Answer: d
Input: Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1452 and w , where w is a positive integer , what is the smallest possible value of w ? 
Options: a ) 198 , b ) 288 , c ) 363 , d ) 396 , e ) 468
Answer: e
Input: Problem: if x ^ 2 + 9 / x ^ 2 = 10 , what is the value of x - 3 / x 
Options: a ) 36 , b ) 25 , c ) 2 , d ) 5 , e ) 3
Answer: c
Input: Problem: elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.20 apiece . if elena purchased a total of 12 of these pens for $ 42.00 , how many brand x pens did she purchase ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: c
Input: Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 140 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 ) 38 sec , d ) 18 sec , e ) 17 sec
Answer: c
Input: Problem: if rs . 782 is divided into 3 parts , proportional to 1 / 2 : 2 / 3 : 3 / 4 find the first part . 
Options: a ) 190 , b ) 204 , c ) 220 , d ) 230 , e ) none of these
Answer: b
Input: Problem: the sum of the squares of three numbers is 100 , while the sum of their products taken two at a time is 48 . their sum is : 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) none of these
Answer: e
Input: Problem: the sum of all the integers f such that - 26 < f < 24 is 
Options: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51
Answer: d
Input: Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1160 ? 
Options: a ) rs . 1000 , b ) rs . 1100 , c ) rs . 1010 , d ) rs . 10000 , e ) none of these
Answer: a
Input: Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord q , in feet ? 
Options: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5
Answer: d
Input: Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.7 % , what fraction of the products was checked by worker y ? 
Options: a ) 2 / 3 , b ) 5 / 6 , c ) 7 / 8 , d ) 4 / 5 , e ) 5 / 8
Answer: a
Input: Problem: the average weight of a , b and c is 43 kg . if the average weight of a and b be 48 kg and that of b and c be 42 kg , then the weight of b is : 
Options: a ) 55 kg , b ) 53 kg , c ) 49 kg , d ) 52 kg , e ) 51 kg
Answer: e
Input: Problem: what is the smallest positive integer x such that 180 - x is the cube of a positive integer 
Options: a ) 50 , b ) 52 , c ) 60 , d ) 55 , e ) 12
Answer: d
Input: Problem: find two numbers whose sum is 26 and whose product is 165 . 
Options: a ) 11 and 12 , b ) 11 and 13 , c ) 11 and 15 , d ) 11 and 16 , e ) 11 and 19
Answer: c
Input: Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 45 meters . how many times did the ball bounce ? 
Options: a ) 5 , b ) 4 , c ) 7 , d ) 8 , e ) 9
Answer: b
Input: Problem: what is the sum of natural numbers between 50 and 100 
Options: a ) 4800 , b ) 4860 , c ) 3825 , d ) 5500 , e ) 5550
Answer: c
Input: Problem: there are 720 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? 
Options: a ) 75 , b ) 100 , c ) 120 , d ) 175 , e ) 225
Answer: c
Input: Problem: what is the 26 th digit to the right of the decimal point in the decimal form of 6 / 11 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: if a certain number x is divided by 62 , the reminder is 7 . what is the reminder when x + 11 is divided by 31 ? 
Options: a ) 3 , b ) 5 , c ) 18 , d ) 6 , e ) 8
Answer: c
Input: Problem: a sum of rs . 100 is lent at simple interest of 3 % p . a . for the first month , 9 % p . a . for the second month , 27 % p . a . for the third month and so on . what is the total amount of interest earned at the end of the year approximately 
Options: a ) rs . 797160 , b ) rs . 791160 , c ) rs . 65930 , d ) rs . 66430 , e ) rs . 67430
Answer: d
Input: Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts , by weight . what is the number of pounds of almonds in 210 pounds of the mixture ? 
Options: a ) 150 , b ) 84 , c ) 40 , d ) 28 , e ) 20
Answer: a
Input: Problem: in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 4 be mixed with another mixture q of milk and water in the ratio 2 : 7 so that the resultant mixture contains equal quantities of milk and water ? 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 5 : 1
Answer: e
Input: Problem: if n divided by 7 has a remainder of 2 , what is the remainder when 6 times n is divided by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Answer: d
Input: Problem: in a hostel there were 100 students . to accommodate 25 more students the average is decreased by some rupees . but total expenditure increased by rs . 500 . if the total expenditure of the hostel now 8500 , find decrease of average budget ? 
Options: a ) 20 , b ) 15 , c ) 12 , d ) 18 , e ) 24
Answer: c
Input: Problem: subtracting 30 from a number , the remainder is one fourth of the number . find the number ? 
Options: a ) 29 , b ) 88 , c ) 40 , d ) 28 , e ) 27
Answer: c
Input: Problem: when 1 / 20 % of 4,000 is subtracted from 1 / 20 of 4,000 , the difference is 
Options: a ) 50 , b ) 198 , c ) 380 , d ) 398 , e ) 400
Answer: b
Input: Problem: ( x + 5 ) is a factor in x ^ 2 - mx - 40 . what is the value of m ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 3 , e ) 5
Answer: d
Input: Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 45 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ? 
Options: a ) 22 % , b ) 24 % , c ) 25 % , d ) 29 % , e ) 28 %
Answer: d
Input: Problem: what is the sum of the integers from - 170 to 171 , inclusive ? 
Options: a ) 181 , b ) 171 , c ) 191 , d ) 201 , e ) 202
Answer: b
Input: Problem: a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 10 miles per gallon , and from town b to town c , the car averaged 12 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? 
Options: a ) 11.5 , b ) 9.5 , c ) 13.5 , d ) 10.6 , e ) 14.5
Answer: d
Input: Problem: calculate the ratio between x and y if 90 % of x equal to 60 % of y ? 
Options: a ) 1 : 2 , b ) 3 : 5 , c ) 3 : 2 , d ) 3 : 4 , e ) 5 : 2
Answer: c
Input: Problem: what number times ( 1 ⁄ 4 ) ^ 2 will give the value of 4 ^ 3 ? 
Options: a ) 4 , b ) 16 , c ) 64 , d ) 256 , e ) 1024
Answer: e
Input: Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent e of the list price is the lowest possible sale price ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50
Answer: d
Input: Problem: if a and b are the roots of the equation x 2 - 7 x + 7 = 0 , then the value of a 2 + b 2 is : 
Options: a ) 35 , b ) 24 , c ) 17 , d ) 6 , e ) 5
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 23 gallons of gasoline ? 
Options: a ) 190 , b ) 284.6 , c ) 300 , d ) 280 , e ) 312
Answer: d
Input: Problem: if n = 8 ^ 8 – 7 , what is the units digit of n ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 7 , e ) 4
Answer: d
Input: Problem: if x , y , and z are positive integers , and 2 x = 5 y = 6 z , then the least possible value of x + y + z is 
Options: a ) 15 , b ) 26 , c ) 37 , d ) 42 , e ) 60
Answer: b
Input: Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 1 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 3 in the prime factorization of f ( 3 ) / g ( 3 ) is 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 5.00 a pound . how many pounds of cashews must she use ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Answer: b
Input: Problem: sum of two numbers is 63 . their difference is 1 / 8 of their sum . their l . c . m is 
Options: a ) 231 , b ) 153 , c ) 351 , d ) 345 , e ) 355
Answer: c
Input: Problem: a library has an average of 510 visitors on sunday and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is 
Options: a ) 250 , b ) 276 , c ) 280 , d ) 285 , e ) none
Answer: d
Input: Problem: williams works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 8 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? 
Options: a ) 3 / 7 , b ) 5 / 7 , c ) 6 / 7 , d ) 1 / 7 , e ) 4 / 7
Answer: e
Input: Problem: how many multiples of 3 are there between 81 and 358 ? 
Options: a ) 94 , b ) 95 , c ) 93 , d ) 97 , e ) 98
Answer: c
Input: Problem: the average of 40 results is 30 and the average of other 30 results is 40 . what is the average of all the results ? 
Options: a ) 34 , b ) 25 , c ) 48 , d ) 50 , e ) none
Answer: a
Input: Problem: line m lies in the xy - plane . the y - intercept of line m is - 5 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 8 ) . what is the slope of line m ? 
Options: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) undefined
Answer: a
Input: Problem: how many different 3 - digit multiples of 5 can be composed of digits 1 , 2 , 3 , 4 , and 5 if none of the digits is repeated ? 
Options: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 18
Answer: c
Input: Problem: how many positive integers less than 100 have a remainder of 6 when divided by 13 ? 
Options: a ) 2 , b ) 7 , c ) 6 , d ) 9 , e ) 10
Answer: c
Input: Problem: a man purchased 3 blankets @ rs . 100 each , 6 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? 
Options: a ) a ) 300 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500
Answer: a
Input: Problem: { 5 , 6 , 3 , 8 , 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values ? 
Options: a ) 5 , b ) 7 , c ) 15 , d ) 12 , e ) 13
Answer: b
Input: Problem: set a contains all the even numbers between 4 and 50 inclusive . set b contains all the even numbers between 104 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? 
Options: a ) 2400 , b ) 2550 , c ) 5050 , d ) 6275 , e ) 11325
Answer: a
Input: Problem: of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 130 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? 
Options: a ) 280 , b ) 400 , c ) 540 , d ) 650 , e ) 840
Answer: d
Input: Problem: two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of m crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of m ? 
Options: a ) x / 2 , b ) x , c ) 3 m / 2 , d ) mx , e ) mx
Answer: e
Input: Problem: if x / ( 12 p ) is an odd prime number , where x is a positive integer and p is a prime number , what is the least value of x ? 
Options: a ) 22 , b ) 33 , c ) 44 , d ) 66 , e ) 72
Answer: e
Input: Problem: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many e ways can the test be completed if every question is unanswered ? 
Options: a ) 24 , b ) 120 , c ) 625 , d ) 720 , e ) 1024
Answer: c
Input: Problem: if ( 1 / 5 ) ^ m * ( 1 / 2 ) ^ 5 = 1 / ( ( 10 ) ^ 5 ) , then m = 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: how many positive integers less than 5,000 are there in which the sum of the digits equals 5 ? 
Options: a ) 64 , b ) 62 , c ) 63 , d ) 61 , e ) 56
Answer: e
Input: Problem: the instructions state that cheryl needs 5 / 9 square yards of one type of material and 1 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 24 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 ) 5 / 9 , e ) 2 1 / 9
Answer: d
Input: Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 1,455 , what was the total number of pairs of contact lenses that she sold ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19
Answer: a
Input: Problem: if 9 is added to thrice a number and this sum is multiplied by 6 , the result is the same as if the number is multiplied by 7 and 10 is added to the product . what is the number ? 
Options: a ) - 7 , b ) - 8 , c ) - 9 , d ) - 10 , e ) - 11
Answer: e
Input: Problem: find ( 7 x + 2 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? 
Options: a ) 23 , b ) 25 , c ) 26 , d ) 27 , e ) 29
Answer: a
Input: Problem: for what value of k will the two equations 2 x + 4 = 4 ( x - 2 ) and - x + k = 2 x - 1 have the same solution ? 
Options: a ) 15 , b ) 16 , c ) 18 , d ) 19 , e ) 17
Answer: e
Input: Problem: the sum of two numbers is 64 , and one of them is 12 more than the other . what are the two numbers ? 
Options: a ) 26 - 38 , b ) 50 - 34 , c ) 60 - 24 , d ) 42 - 42 , e ) 21 - 63
Answer: a
Input: Problem: evaluate : 13 + sqrt ( - 4 + 5 ã — 3 ã · 3 ) = ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: c
Input: Problem: at a certain high school , the senior class is twice the size of the junior class . if 1 / 8 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ? 
Options: a ) 3 / 8 , b ) 3 / 4 , c ) 1 / 3 , d ) 4 / 5 , e ) 1 / 2
Answer: c
Input: Problem: in a survey of political preferences , 78 % of those asked were in favour of at least one of the proposals : i , ii and iii . 50 % of those asked favoured proposal i , 30 % favoured proposal ii , and 20 % favoured proposal iii . if 5 % of those asked favoured all 3 of the proposals , what x percentage of those asked favoured more than one of the 3 proposals . 
Options: a ) 10 , b ) 12 , c ) 17 , d ) 22 , e ) 30
Answer: c
Input: Problem: a number when divided by 100 leaves 11 as a remainder . what will be the remainder if the number is divided by 11 ? 
Options: a ) 11 , b ) 1 , c ) 2 , d ) 3 , e ) 21
Answer: b
Input: Problem: calculate the sum of first 39 natural numbers . 
Options: a ) 780 , b ) 891 , c ) 812 , d ) 847 , e ) 890
Answer: a
Input: Problem: if ( x + 1 ) ( x + 3 ) = x ^ 2 + x , what is a possible value of x ? 
Options: a ) 2 , b ) 3 , c ) - 1 / 3 , d ) - 3 , e ) - 1
Answer: e
Input: Problem: a sum of money lent out at s . i . amounts to a total of $ 480 after 2 years and to $ 680 after a further period of 5 years . what was the initial sum of money that was invested ? 
Options: a ) $ 360 , b ) $ 380 , c ) $ 400 , d ) $ 420 , e ) $ 440
Answer: c
Input: Problem: john has $ 1,600 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ? 
Options: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 1,200
Answer: b
Input: Problem: the smallest value of n , for which 2 n + 1 is not a prime number is 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 2211 , what is the value of n ? 
Options: a ) 22 , b ) 134 , c ) 62 , d ) 122 , e ) 672
Answer: b
Input: Problem: the least number of 4 digits which is divisible by 15 , 25 , 40 and 75 is : 
Options: a ) 9000 , b ) 9400 , c ) 9600 , d ) 9800 , e ) 9700
Answer: c
Input: Problem: average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . 
Options: a ) 1200 , b ) 120 , c ) 360 , d ) 240 , e ) none of these
Answer: d