Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: 6 friends went to a hotel and decided to pay the bill amount equally . but 5 of them could pay rs . 100 each as a result 6 th has to pay rs . 100 extra than his share . find the amount paid by him . 
Options: a ) 156 , b ) 220 , c ) 130 , d ) 240 , e ) none
Answer: b
Input: Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 27 , find the value of ab . 
Options: a ) 5 , b ) 9 , c ) 4 , d ) 10 , e ) 3
Answer: b
Input: Problem: a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 900 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ? 
Options: a ) 10000 , b ) 12000 , c ) 12019 , d ) 12197 , e ) 12012
Answer: a
Input: Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b nd c be 27 , then how old is b ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: d
Input: Problem: in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 27 to the thrice of the remainder . the dividend is 
Options: a ) 74 , b ) 78 , c ) 186 , d ) 92 , e ) 98
Answer: c
Input: Problem: a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 5 tons ? 
Options: a ) 10 , b ) 12 , c ) 16 , d ) 18 , e ) 20
Answer: e
Input: Problem: in an examination , 25 % of total students failed in hindi , 48 % failed in english and 27 % in both . the percentage of these who passed in both the subjects is : 
Options: a ) 23 , b ) 54 , c ) 28 , d ) 40 , e ) 81
Answer: b
Input: Problem: find the value for x from below equation : x / 3 = - 4 ? 
Options: a ) - 12 , b ) 1 , c ) - 2 , d ) - 3 , e ) 4
Answer: a
Input: Problem: there are 79 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 49 , e ) 32
Answer: d
Input: Problem: a completes a piece of work in 3 / 4 of the time in b does , b takes 4 / 5 of the time in c does . they got a profit of rs . 40000 how much b gets ? 
Options: a ) 12765 , b ) 121227 , c ) 26887 , d ) 19977 , e ) 26992
Answer: a
Input: Problem: 60 percent of movie theatres in town x have 2 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ? 
Options: a ) 12 , b ) 18 , c ) 32 , d ) 40 , e ) 44
Answer: d
Input: Problem: 25 onions on a scale weigh 5.12 kg . when 3 onions are removed from the scale , the average weight of the 22 onions is 200 grams . what is the average weight ( in grams ) of the 3 onions which were removed ? 
Options: a ) 200 , b ) 220 , c ) 240 , d ) 260 , e ) 280
Answer: c
Input: Problem: 0.9999 + 0.1111 = ? 
Options: a ) 1 , b ) 1.0001 , c ) 1.0021 , d ) 1.111 , e ) 1.1111
Answer: d
Input: Problem: a rower whose speed is 4 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 2 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? 
Options: a ) 6 , b ) 4 , c ) 9 , d ) 3 , e ) 2
Answer: d
Input: Problem: the area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9 . if the sum of the perimeters of both squares is 32 , what is the value of x ? 
Options: a ) 0 , b ) 2 , c ) 2.5 , d ) 4.67 , e ) 3
Answer: e
Input: Problem: in a group of cows and hens , the number of legs are 30 more than twice the number of heads . the number of cows is 
Options: a ) 15 , b ) 7 , c ) 10 , d ) 12 , e ) 14
Answer: a
Input: Problem: when n is divided by 24 , the remainder is 5 . what is the remainder when 4 n is divided by 8 ? 
Options: a ) 3 , b ) 5 , c ) 4 , d ) 6 , e ) 7
Answer: c
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 8 . if n / j = 150.25 , what is value of j ? 
Options: a ) 16 , b ) 26 , c ) 32 , d ) 132 , e ) 20
Answer: c
Input: Problem: two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number . 
Options: a ) 4 / 12 , b ) 4 / 17 , c ) 4 / 15 , d ) 4 / 11 , e ) 4 / 03
Answer: a
Input: Problem: a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 102 . find the divisor ? 
Options: a ) 370 , b ) 365 , c ) 380 , d ) 456 , e ) 460
Answer: c
Input: Problem: zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 8 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 8 questions did zachary answer correctly ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: c
Input: Problem: at a certain restaurant , the price of a sandwich is $ 4.00 more than the price of a cup of coffee . if the price of a sandwich and a cup of coffee is $ 7.35 , including a sales tax of 5 % , what is the price of a cup of coffee , excluding the sales tax ? 
Options: a ) $ 1.50 , b ) $ 3.00 , c ) $ 4.00 , d ) $ 5.50 , e ) $ 7.00
Answer: a
Input: Problem: of the two - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? 
Options: a ) 24 , b ) 9 , c ) 72 , d ) 144 , e ) 216
Answer: b
Input: Problem: the difference between the place values of 9 and 4 in the number 529435 is 
Options: a ) 8500 , b ) 8900 , c ) 8600 , d ) 6970 , e ) none
Answer: c
Input: Problem: i chose a number and divide it by 8 . then i subtracted 100 from the result and got 6 . what was the number i chose ? 
Options: a ) 600 , b ) 700 , c ) 800 , d ) 900 , e ) 848
Answer: e
Input: Problem: john is 3 times as old as sam . if john will be twice as old as sam in 9 years , how old was sam two years ago ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 7
Answer: e
Input: Problem: the average runs scored by a batsman in 25 matches is 45 . in the next 7 matches the batsman scored an average of 15 runs . find his average in all the 32 matches ? 
Options: a ) 31355 , b ) 38.44 , c ) 29.55 , d ) 97.66 , e ) 45.66
Answer: b
Input: Problem: a city with a population of 126,160 is to be divided into 7 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? 
Options: a ) 16,500 , b ) 16,600 , c ) 16,700 , d ) 16,800 , e ) 16,900
Answer: b
Input: Problem: a cyclist rides a bicycle 9 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 9 km / hr . what is the average speed for the entire trip ? 
Options: a ) 9.5 , b ) 9.8 , c ) 10.1 , d ) 10.6 , e ) 11.2
Answer: c
Input: Problem: when a number is divided by 6 & then multiply by 12 the answer is 8 what is the no . ? 
Options: a ) 4.5 , b ) 5 , c ) 5.5 , d ) 5.8 , e ) 4
Answer: e
Input: Problem: in one year , the population , of a village increased by 10 % and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ? 
Options: a ) 8008 , b ) 8000 , c ) 8022 , d ) 8021 , e ) 8022
Answer: b
Input: Problem: 4 years ago , paula was 4 times as old as karl . in 4 years , paula will be twice as old as karl . what is the sum of their ages now ? 
Options: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30
Answer: d
Input: Problem: a bag of potatoes weighs 12 lbs divided by half of its weight . how much does the bag of potatoes weight ? 
Options: a ) 20 lb , b ) 18 lb , c ) 12 lb , d ) 15 lb , e ) 5 lb
Answer: c
Input: Problem: how many three - digit numbers that do not contain the digits 2 or 5 are there ? 
Options: a ) 488 , b ) 996 , c ) 228 , d ) 456 , e ) 1986
Answer: b
Input: Problem: if the average ( arithmetic mean ) of a and b is 140 , and the average of b and c is 100 , what is the value of a − c ? 
Options: a ) − 220 , b ) − 100 , c ) 100 , d ) 135 , e ) 80
Answer: e
Input: Problem: if x and y are positive integers and 25 x = 10 y what is the least possible value of xy ? 
Options: a ) 14 , b ) 25 , c ) 63 , d ) 84 , e ) 252
Answer: b
Input: Problem: a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.6 per box per month for the record storage , what is the total amount that the company pays each month for record storage ? 
Options: a ) a . 150 , b ) b . 300 , c ) c . 600 , d ) d . 1,200 , e ) e . 360
Answer: e
Input: Problem: if ( 1 – 1.5 ) n = 1 , then n = 
Options: a ) − 400 , b ) − 140 , c ) − 2 , d ) 4 , e ) 400
Answer: c
Input: Problem: in a clothing store , there are 6 different colored neckties ( red , orange , yellow , green , blue , and indigo ) and 4 different colored shirts ( red , orange , yellow , green , blue , and indigo ) that must be packed into boxes for gifts . if each box can only fit one necktie and one shirt , what is the probability that all of the boxes will contain a necktie and a shirt of the same color ? 
Options: a ) 719 / 720 , b ) 1 / 24 , c ) 2 / 233 , d ) 3 / 543 , e ) 1 / 720
Answer: b
Input: Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 2 of the remaining balance , what will be the final balance in her bank account ? 
Options: a ) 300 , b ) 375 , c ) 450 , d ) 500 , e ) 575
Answer: c
Input: Problem: in 1996 , the property tax of a community is increased by 6 % over the 1995 tax . an additional surcharge of $ 200 is also added for a special project . if the petersons ' 1996 tax totals $ 2108 , find their property tax for the year 1995 
Options: a ) 1600 , b ) 1800 , c ) 1900 , d ) 2000 , e ) 2500
Answer: b
Input: Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ? 
Options: a ) 71 , b ) 75 , c ) 85 , d ) 83 , e ) 82
Answer: a
Input: Problem: find the average of all prime numbers between 30 and 50 ? 
Options: a ) 18.9 , b ) 19.8 , c ) 39.8 , d ) 29.8 , e ) 20.8
Answer: c
Input: Problem: if 3 < x < 6 < y < 9 , 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: c
Input: Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 350 and $ 200 per unit , respectively . what is the fewest number of computer printers that the company can purchase ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Answer: c
Input: Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 240 , what were her original savings ? 
Options: a ) $ 900 , b ) $ 800 , c ) $ 960 , d ) $ 700 , e ) $ 1500
Answer: c
Input: Problem: find the number which is nearest to 457 and is exactly divisible by 11 . 
Options: a ) 450 , b ) 451 , c ) 460 , d ) 462 , e ) none
Answer: d
Input: Problem: in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is : 
Options: a ) 12 , b ) 11 , c ) 10 , d ) 27 , e ) 22
Answer: c
Input: Problem: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ? 
Options: a ) 7349 , b ) 6300 , c ) 6325 , d ) 6939 , e ) 2989
Answer: c
Input: Problem: average marks of a , b , c is 48 . when d joins average becomes 47 . e has 3 more marks than d . average marks of b , c , d , e is 48 . what is the marks of a ? 
Options: a ) 43 , b ) 44 , c ) 45 , d ) 46 , e ) 47
Answer: a
Input: Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 350 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? 
Options: a ) 90 , b ) 110 , c ) 120 , d ) 130 , e ) 220
Answer: a
Input: Problem: if the average ( arithmetic mean ) of x and y is 80 , and z – x = 100 , what is the average of y and z ? 
Options: a ) 140 , b ) 100 , c ) 110 , d ) 120 , e ) 130
Answer: e
Input: Problem: everyone shakes hands with everyone else in a room . total number of handshakes is 120 . number of persons = ? 
Options: a ) a . 14 , b ) b . 12 , c ) c . 11 , d ) d . 15 , e ) e . 16
Answer: e
Input: Problem: a sum of rs . 66000 is divided into 3 parts such that the simple interests accrued on them for 6 , two and 11 years respectively may be equal . find the amount deposited for 11 years . 
Options: a ) 6500 , b ) 2000 , c ) 4500 , d ) 3000 , e ) 6000
Answer: e
Input: Problem: the maximum number of girls among them 2923 bags and 3239 eyeliners can be distributed in such a way that each student gets the same number of bags and eyeliners . 
Options: a ) 80 , b ) 79 , c ) 78 , d ) 81 , e ) 82
Answer: b
Input: Problem: 1 - 1 - 1 - 1 - 1 - 1 do any operations between the numbers to make the sum as 37 ? 
Options: a ) 34 , b ) 35 , c ) 36 , d ) 37 , e ) 38
Answer: d
Input: Problem: how many positive integers less than 20 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? 
Options: a ) 14 , b ) 13 , c ) 12 , d ) 11 , e ) 10
Answer: a
Input: Problem: john was thrice as old as tom 6 years ago . john will be 7 / 5 times as old as tom in 6 years . how old is tom today ? 
Options: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15
Answer: b
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 8 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? 
Options: a ) 7 / 17 , b ) 14 / 31 , c ) 4 / 9 , d ) 17 / 35 , e ) 1 / 2
Answer: c
Input: Problem: in a theater , the first row has 12 seats and each row has 2 more seats than previous row . if the last row has 48 seats , what is the total number of seats in the theater ? 
Options: a ) 550 , b ) 570 , c ) 590 , d ) 610 , e ) 630
Answer: b
Input: Problem: how many 9 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 123454321 . 
Options: a ) 100 , b ) 610 , c ) 729 , d ) 900 , e ) 90000
Answer: e
Input: Problem: if a randomly selected non - negative single digit integer is added to { 2 , 3 , 4 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ? 
Options: a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6
Answer: d
Input: Problem: a , b and c rents a pasture for rs . 899 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 270 , b ) 279 , c ) 267 , d ) 255 , e ) 552
Answer: b
Input: Problem: find the average of all numbers between 3 and 86 which are divisible by 5 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 45
Answer: e
Input: Problem: what is the 36 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9
Answer: d
Input: Problem: total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3 / 4 liter milk 20 cow gives each 1 / 4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how ? 
Options: a ) 20 , b ) 10 , c ) 15 , d ) 16 , e ) 18
Answer: a
Input: Problem: the sum of two numbers is 72 , and one of them is 12 more than the other . what are the two numbers ? 
Options: a ) 36 - 48 , b ) 50 - 34 , c ) 60 - 24 , d ) 30 - 42 , e ) 21 - 63
Answer: d
Input: Problem: the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 40 more than the number who did not , and if receipts for registration and lunch totaled $ 39,480 , how many people paid just for registration at the meeting ? 
Options: a ) 700 , b ) 800 , c ) 300 , d ) 1,500 , e ) 1,800
Answer: c
Input: Problem: how many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines ? 
Options: a ) a ) 7 , b ) b ) 5 , c ) c ) 9 , d ) d ) 8 , e ) e ) none of the above
Answer: b
Input: Problem: a car travels first 160 km at 75 km / hr and the next 160 km at 80 km / hr . what is the average speed for the first 320 km of the tour ? 
Options: a ) 71.11 , b ) 71.12 , c ) 71.1 , d ) 71.17 , e ) 77.42
Answer: e
Input: Problem: reeya obtained 65 , 67 , 76 , 80 and 95 out of 100 in different subjects , what will be the average 
Options: a ) 76.6 , b ) 75 , c ) 80 , d ) 85 , e ) 90
Answer: a
Input: Problem: if a * b * c = 65 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? 
Options: a ) 1 / 2 , b ) 1 / 4 , c ) 3 / 4 , d ) 2 / 3 , e ) none of these
Answer: b
Input: Problem: for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 5 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ? 
Options: a ) $ 24960 , b ) $ 25920 , c ) $ 28080 , d ) $ 28350 , e ) $ 29160
Answer: d
Input: Problem: a couple decides to have 4 children . if they succeed in having 4 children and each child is equally likely to be a boy or a girl , what is the probability that they will have exactly 2 girls and 2 boys ? 
Options: a ) 3 / 8 , b ) 1 / 4 , c ) 3 / 16 , d ) 1 / 8 , e ) 1 / 16
Answer: a
Input: Problem: you collect pens . suppose you start out with 5 . mike gives you another 20 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ? 
Options: a ) 39 , b ) 40 , c ) 31 , d ) 42 , e ) 43
Answer: c
Input: Problem: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? 
Options: a ) 25 , b ) 40 , c ) 64 , d ) 72 , e ) 96
Answer: d
Input: Problem: what is the greatest prime factor of 4 ^ 17 - 2 ^ 29 ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 31
Answer: e
Input: Problem: how many multiples of 7 are there between 700 and 1000 , inclusive ? 
Options: a ) 43 , b ) 42 , c ) 22 , d ) 21 , e ) 20
Answer: a
Input: Problem: two - third of a positive number and 25 / 216 of its reciprocal are equal . the number is : 
Options: a ) 5 / 12 , b ) 12 / 5 , c ) 25 / 144 , d ) 144 / 25 , e ) 146 / 25
Answer: a
Input: Problem: how many even multiples of 25 are there between 249 and 501 ? 
Options: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? 
Options: a ) 5.33 kmph , b ) 6.00 kmph , c ) 5.00 kmph , d ) 6.00 kmph , e ) 4.00 kmph
Answer: a
Input: Problem: in a box of 12 pens , a total of 6 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? 
Options: a ) 1 / 6 , b ) 5 / 22 , c ) 6 / 11 , d ) 9 / 16 , e ) 3 / 4
Answer: b
Input: Problem: every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 72 , how many more green disks than blue disks are in the bag ? 
Options: a ) 20 , b ) 28 , c ) 30 , d ) 35 , e ) 40
Answer: a
Input: Problem: 48.95 - 32.006 = ? 
Options: a ) 16.089 , b ) 16.35 , c ) 16.89 , d ) 16.944 , e ) none of them
Answer: d
Input: Problem: there are 780 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 ) 130 , b ) 100 , c ) 125 , d ) 175 , e ) 225
Answer: a
Input: Problem: 2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 10 
Options: a ) 2 ^ 9 , b ) 2 ^ 10 , c ) 2 ^ 11 , d ) 2 ^ 35 , e ) 2 ^ 37
Answer: c
Input: Problem: according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 15 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ? 
Options: a ) 25 , b ) 34 , c ) 50 , d ) 20 , e ) 100
Answer: d
Input: Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.988 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? 
Options: a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) can not be determined
Answer: a
Input: Problem: if 25 % of x is 15 less than 12 % of 1500 , then x is ? 
Options: a ) 660 , b ) 738 , c ) 837 , d ) 840 , e ) 83
Answer: a
Input: Problem: the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 10 , then their difference is : 
Options: a ) 10 , b ) 46 , c ) 70 , d ) 90 , e ) 100
Answer: a
Input: Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 8.0 = ? 
Options: a ) - 0.53 , b ) 1.0 , c ) 1.07 , d ) 1.71 , e ) 2.71
Answer: a
Input: Problem: how many of the positive divisors of 480 are also multiples of 4 not including 480 ? 
Options: a ) 15 , b ) 16 , c ) 19 , d ) 20 , e ) 24
Answer: a
Input: Problem: 14 times a number gives 210 . the number is 
Options: a ) 11 , b ) 12 , c ) 15 , d ) none , e ) can not be determined
Answer: c
Input: Problem: what is the least value of x , so that 2 x 5478 is divisible by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 1 , e ) 2
Answer: d
Input: Problem: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 1 other contributions made before john ' s , what is the size of his donation ? 
Options: a ) $ 100 , b ) $ 150 , c ) $ 200 , d ) $ 250 , e ) $ 450
Answer: a
Input: Problem: cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? 
Options: a ) 2 : 9 , b ) 3 : 7 , c ) 2 : 5 , d ) 1 : 8 , e ) 1 : 5
Answer: d
Input: Problem: a pupil ' s marks were wrongly entered as 73 instead of 63 . due to the average marks for the class got increased by half . the number of pupils in the class is ? 
Options: a ) 18 , b ) 82 , c ) 20 , d ) 27 , e ) 29
Answer: c
Input: Problem: each week , harry is paid x dollars per hour for the first 35 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 35 , b ) 36 , c ) 34 , d ) 38 , e ) 39
Answer: c
Input: Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 2880 ? 
Options: a ) 8100 , b ) 3388 , c ) 7767 , d ) 2009 , e ) 3645
Answer: e
Input: Problem: in how many ways can 5 different rings be worn in 4 particular fingers ? ( some fingers may get more than one ring and some may get no rings . ) can somebody explain ? 
Options: a ) 6720 , b ) 7720 , c ) 7820 , d ) 7950 , e ) 8120
Answer: a
Input: Problem: how much water must be added to 56 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? 
Options: a ) 10 litres , b ) 12 litres , c ) 14 litres , d ) 18 litres , e ) none of these
Answer: c
Input: Problem: a man is 32 years older than his son . in six years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 26 years , b ) 27 years , c ) 28 years , d ) 29 years , e ) 30 years
Answer: a
Input: Problem: find large number from below question the difference of two numbers is 1200 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1437 , b ) 1250 , c ) 1540 , d ) 1600 , e ) 1635
Answer: a
Input: Problem: ( 525 + 275 ) ã — 4 ã — ( 3 + 2 ) = ? 
Options: a ) 12000 , b ) 24000 , c ) 16000 , d ) 14000 , e ) 16200
Answer: c
Input: Problem: 0.0007 ? = 0.01 
Options: a ) 70 , b ) 7 , c ) 0.7 , d ) 0.07 , e ) none of these
Answer: d
Input: Problem: 25.25 / 3000 is equal to : 
Options: a ) 0.008416667 , b ) 0.110773333 , c ) 0.12526234 , d ) 0.01072333 , e ) 0.12725002
Answer: a
Input: Problem: an italian sausage is 8 inches long . how many pieces of sausage can be cut from the 8 - inch piece of sausage if each piece is to be 2 / 3 of an inch ? 
Options: a ) 12 , b ) 32 , c ) 22 , d ) 15 , e ) 20
Answer: a
Input: Problem: if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer q that must divide n is ? 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 36 , e ) 48
Answer: b
Input: Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 26 , by how much does the temperature in degrees celsius ( c ) increase ? 
Options: a ) 9 , b ) 14.44 , c ) 47 , d ) 48 3 / 5 , e ) 59
Answer: b
Input: Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 6 : 3 and b : c = 6 : 5 . if the total runs scored by all of them are 118 , the runs scored by b are ? 
Options: a ) 24 , b ) 20.13 , c ) 30.93 , d ) 20.93 , e ) 10.93
Answer: a
Input: Problem: in the coordinate plane a slope of the line k is 3 times the y - intercept of the line k . what is the x - intercept of the line k ? 
Options: a ) - 4 , b ) 4 , c ) - 1 / 4 , d ) - 1 / 3 , e ) 2
Answer: d
Input: Problem: the value of ( 0.137 + 0.098 ) ² - ( 0.137 - 0.098 ) ² / 0.137 × 0.098 is 
Options: a ) 0.039 , b ) 0.235 , c ) 0.25 , d ) 4 , e ) 5
Answer: d
Input: Problem: a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 33 pints of perfect pink paint ? 
Options: a ) 9 , b ) 16 , c ) 17 , d ) 25 1 / 3 , e ) 28 1 / 2
Answer: c
Input: Problem: aishwarya rai walks into a bank to cash out her check . by mistake the bank teller gives her dollar amount in change , and her cent amount in dollars . on the way home she spends 5 cent , and then suddenly she notices that she has twice the amount of her check . how much was her check amount ? 
Options: a ) 21.55 , b ) 25.89 , c ) 30.56 , d ) 31.55 , e ) 31.63
Answer: e
Input: Problem: 5.511 / 10.02 = 
Options: a ) 0.35 , b ) 0.55 , c ) 0.3509 , d ) 0.351 , e ) 0.3527
Answer: b
Input: Problem: there are cats got together and decided to kill the mice of 999951 . 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 ) 993,1007 , c ) 991,1009 , d ) 791,1009 , e ) 931,1009
Answer: b
Input: Problem: the average marks of 10 students in a class is 100 . but a student mark is wrongly noted as 50 instead of 10 then find the correct average marks ? 
Options: a ) a ) 78 , b ) b ) 82 , c ) c ) 96 , d ) d ) 91 , e ) e ) 85
Answer: c
Input: Problem: a certain sum of money is divided among a , b and c so that for each rs . a has 80 paisa , b has 65 paisa and c 40 paisa . if c ' s share is rs . 40 , find the sum of money ? 
Options: a ) rs . 185 , b ) rs . 410 , c ) rs . 285 , d ) rs . 385 , e ) rs . 475
Answer: a
Input: Problem: the ratio of kamla and nisha is 6 : 5 and the sum of their ages is 44 . what will be the ratio of their ages after 8 years . 
Options: a ) 5 : 6 , b ) 7 : 8 , c ) 8 : 7 , d ) 12 : 11 , e ) 14 : 13
Answer: c
Input: Problem: the sum of three consecutive integers is 312 . what is the sum of the next three consecutive integers ? 
Options: a ) 315 , b ) 321 , c ) 330 , d ) 415 , e ) 424
Answer: b
Input: Problem: ( 0.76 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.76 ) ( power 2 ) + 0.076 + ( 0.1 ) ( power 2 ) is : 
Options: a ) 0.66 , b ) 0.68 , c ) 0.96 , d ) 0.69 , e ) 0.76
Answer: a
Input: Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 1 and 100 ? 
Options: a ) 1250 , b ) 1530 , c ) 2120 , d ) 2540 , e ) 2550
Answer: e
Input: Problem: when x is multiplied by 3 , the result is 4 more than the result of subtracting x from 16 . what is the value of x ? 
Options: a ) - 4 , b ) - 2 , c ) 5 , d ) 13 , e ) 22
Answer: c
Input: Problem: if 1 / 5 th of a number decreased by 5 is 5 , then the number is 
Options: a ) 25 , b ) 50 , c ) 60 , d ) 75 , e ) none
Answer: b
Input: Problem: on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent w of thatbeforejuly 1 last year ? 
Options: a ) 90 % , b ) 99 % , c ) 100 % , d ) 101 % , e ) 110 %
Answer: b
Input: Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 100 , then the greatest possible value of a is between : 
Options: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9
Answer: c
Input: Problem: what will be the reminder when ( 31 ^ 31 + 31 ) is divided by 32 ? 
Options: a ) 72 , b ) 43 , c ) 91 , d ) 40 , e ) 30
Answer: e
Input: Problem: if 6 years are subtracted from the present age of arun and the remainder is divided by 18 , then the present age of his grandson gokul is obtained . if gokul is 2 years younger to madan whose age is 5 years , then what is the age of arun ? 
Options: a ) 48 , b ) 60 , c ) 84 , d ) 96 , e ) 69
Answer: b
Input: Problem: 8 people decided to split the restaurant bill evenly . if the bill was $ 214.15 dollars , how much money did they 1 cent is the smallest unit ? 
Options: a ) $ 214.16 , b ) $ 214.17 , c ) $ 214.18 , d ) $ 214.19 , e ) $ 214.20
Answer: a
Input: Problem: company x provides bottled water to its employees in 5 liter bottles , $ 2 each . at least how many 5 l bottles must company x buy monthly , so that new contract with $ 100 fixed monthly rate and $ 1 for 10 l bottle each paid off ? ( assume that no other costs apply ) 
Options: a ) 121 , b ) 125 , c ) 132 , d ) 134 , e ) 138
Answer: d
Input: Problem: 5.02 can be expressed in terms of percentage as 
Options: a ) 5.02 % , b ) 50.2 % , c ) 209 % , d ) 502 % , e ) none of these
Answer: d
Input: Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 16 , 12 , and 8 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? 
Options: a ) 5 / 2 , b ) 7 / 4 , c ) 8 / 5 , d ) 10 / 3 , e ) 12 / 5
Answer: d
Input: Problem: rahul played weel in this season . his current batting averagge is 51 . if he score 69 runs in today match . his batting average will become 54 . how many matches had he played in this season . 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 6 , e ) 5
Answer: e
Input: Problem: find the minimum value of 5 cosa + 12 sina + 12 
Options: a ) - 1 , b ) 1 , c ) 2 , d ) 3 , e ) none of these
Answer: a
Input: Problem: a number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ? 
Options: a ) 160 , b ) 180 , c ) 200 , d ) 280 , e ) none
Answer: d
Input: Problem: if x / 2 = y / 5 = z / 6 , then ( x + y + z ) / x is equal to : 
Options: a ) 13 , b ) 12 , c ) 15 / 2 , d ) 13 / 2 , e ) none of these
Answer: d
Input: Problem: k is a 3 digit number such that the the ratio of the number to the sum of its digits is least . what is the difference between the hundreds and tens digit ? 
Options: a ) 9 , b ) 8 , c ) 7 , d ) 6 , e ) 5
Answer: b
Input: Problem: the average score of a cricketer for 7 matches is 56 runs . if the average for first 4 matches is 46 , then average for last 3 matches is 
Options: a ) 33.25 , b ) 32.25 , c ) 65 , d ) 67 , e ) 69
Answer: e
Input: Problem: if 25 ^ 5 × 5 ^ ( - 1 ) = ( 125 ) ^ x , then what is the value of x ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: 1.45 , 2.56 , 4.78 , 8.11 , 12.55 , ( . . . . ) 
Options: a ) 17.3 , b ) 16.2 , c ) 15.3 , d ) 19.5 , e ) 18.1
Answer: e
Input: Problem: the average weight of a class of 24 students is 35 kg . if the weight of the teacher be included , the average rises by 400 g . the weight of the teacher is : 
Options: a ) 45 , b ) 46 , c ) 47 , d ) 48 , e ) 49
Answer: a
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 32 - meter platform and caught it after it had traveled 46.5 meters . how many times did the ball bounce ? 
Options: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: if 4 x + y + z = 80 , 2 x - y - z = 4003 x + y - z = 20 for integers of x , y and z , find x = ? 
Options: a ) 10 , b ) 20 , c ) 15 , d ) 26 , e ) 18
Answer: b
Input: Problem: set a consists of all the prime numbers between 6 and 42 . what is the range of set a ? 
Options: a ) 16 , b ) 34 , c ) 16.6 , d ) 17 , e ) 23
Answer: b
Input: Problem: the sum of three consecutive multiples of 3 is 72 . what is the largest number ? 
Options: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) 39
Answer: c
Input: Problem: a family consists of two grandparents , two parents , and 3 grandchildren . the average age of the grandparents is 64 years , the average age of the parents is 39 years , and the average age of the grandchildren is 6 years . what is the average age ( in years ) of the family ? 
Options: a ) 31 , b ) 32 , c ) 33 , d ) 34 , e ) 35
Answer: b
Input: Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 85 % of the total ? 
Options: a ) 515 . , b ) 545 . , c ) 606 . , d ) 644 . , e ) 666 .
Answer: c
Input: Problem: marts income is 40 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income 
Options: a ) 124 % , b ) b ) 120 % , c ) c ) 96 % , d ) d ) 80 % , e ) e ) 84 %
Answer: e
Input: Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 276 games will be played during the tournament . find the number of participants . 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Answer: c
Input: Problem: a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes william can make using this recipe ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 90 units raises the average to 58 units per day , what is the value of n ? 
Options: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 4
Answer: e
Input: Problem: when toys are grouped into 12 and 18 , always 3 toys remain ungrouped . what is the minimum number of toys to be added so that when they are grouped into 7 , no toys will remain ungrouped ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: d
Input: Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 105 games will be played during the tournament . find the number of participants . 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: a
Input: Problem: a set s = { x , - 8 , - 5 , - 1 , 1 , 6 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ? 
Options: a ) - 1 , b ) can not be determined , c ) 1 , d ) 0 , e ) 2
Answer: e
Input: Problem: if an integer w is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that w ( w + 1 ) ( w + 2 ) will be divisible by 8 ? 
Options: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 5 / 8 , e ) 3 / 4
Answer: d
Input: Problem: a , b and c rents a pasture for rs . 1073 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 270 , b ) 289 , c ) 267 , d ) 255 , e ) 333
Answer: e
Input: Problem: the captain of a cricket team of 11 members is 24 years old and the wicket keeper is 7 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: c
Input: Problem: the value of ( 4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31 ) is : 
Options: a ) 0.47 , b ) 47 , c ) 470 , d ) 4700 , e ) none of these
Answer: c
Input: Problem: a baker charges n dollars for a birthday cake . next week , she intends to earn 320 dollars selling cakes . if she were to reduce the price of the cake by 20 percent , she would have to sell two more cakes to earn the same amount of revenue . how many cakes does she intend to sell next week ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: d
Input: Problem: chris age after 20 years will be 5 times his age 5 years back . what is the present age of chris ? 
Options: a ) a ) 20 , b ) b ) 25 , c ) c ) 15 , d ) d ) 22 , e ) e ) 5
Answer: e
Input: Problem: what is the largest 4 digit number exactly divisible by 12 ? 
Options: a ) 4676 , b ) 4678 , c ) 8888 , d ) 9504 , e ) 9996
Answer: e
Input: Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 25 pages . 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: b
Input: Problem: rahim bought 42 books for rs . 520 from one shop and 22 books for rs . 248 from another . what is the average price he paid per book ? 
Options: a ) s . 17 , b ) s . 18 , c ) s . 12 , d ) s . 11 , e ) s . 10
Answer: c
Input: Problem: there are 60 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 14 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ? 
Options: a ) 20 , b ) 37 , c ) 42 , d ) 53 , e ) 64
Answer: b
Input: Problem: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 5 ] * [ 8 ] equivalent to ? 
Options: a ) [ 40 ] , b ) [ 60 ] , c ) [ 80 ] , d ) [ 120 ] , e ) [ 150 ]
Answer: d
Input: Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 450 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ? 
Options: a ) 515 . , b ) 678 . , c ) 618 . , d ) 644 . , e ) 666 .
Answer: b
Input: Problem: he average of 30 numbers is zero . of them , at the most , how many may be greater than zero ? 
Options: a ) 29 , b ) 1 , c ) 10 , d ) 30 , e ) 8
Answer: a
Input: Problem: x is a positive integer less than 400 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: c
Input: Problem: ( x + 7 ) is a factor in x ^ 2 - mx - 35 . what is the value of m ? 
Options: a ) - 3 , b ) - 2 , c ) - 4 , d ) - 5 , e ) - 6
Answer: b
Input: Problem: the sum of the first 50 positive even integers is 2550 . what is the sum t of even integers from 102 to 200 inclusive ? 
Options: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100
Answer: b
Input: Problem: an auction house charges a commission of 18 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? 
Options: a ) $ 115,000 , b ) $ 160,000 , c ) $ 200,000 , d ) $ 240,000 , e ) $ 365,000
Answer: c
Input: Problem: if j is the least positive integer that is divisible by every integer from 10 to 15 inclusive , then j / 26 is = 
Options: a ) 1155 , b ) 2310 , c ) 4620 , d ) 30030 , e ) 60060
Answer: b
Input: Problem: an analysis of the monthly incentives received by 5 salesmen : the mean and median of the incentives is $ 7000 . the only mode among the observations is $ 12000 . incentives paid to each salesman were in full thousands . what is the difference z between the highest and the lowest incentive received by the 5 salesmen in the month ? 
Options: a ) $ 4000 , b ) $ 5000 , c ) $ 9000 , d ) $ 11000 , e ) $ 13000
Answer: d
Input: Problem: in the quadratic equation ax 2 - x - 12 = 0 , if the sum of two roots is 1 , what is the product of the two roots ? 
Options: a ) - 12 , b ) - 6 , c ) 12 , d ) 6 , e ) 24
Answer: a
Input: Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 2 / 5 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? 
Options: a ) 4 / 5 , b ) 8 / 15 , c ) 11 / 15 , d ) 9 / 20 , e ) 13 / 20
Answer: e
Input: Problem: village x has a population of 76000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 15 , b ) 17 , c ) 11 , d ) 18 , e ) 13
Answer: b
Input: Problem: every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 108 , how many more green disks than blue disks are in the bag ? 
Options: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 40
Answer: c
Input: Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1 / 2 m board ? 
Options: a ) 90 , b ) 99 , c ) 97 , d ) 95 , e ) 65
Answer: b
Input: Problem: there are 10 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? 
Options: a ) 10 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Answer: c
Input: Problem: if x > 0 , x / 5 + x / 25 is what percent of x ? 
Options: a ) 6 % , b ) 24 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %
Answer: b
Input: Problem: find the smallest number which leaves 2235 , 48 and 61 as remainders when divided by 26 , 39 , 52 and 65 respectively . 
Options: a ) 67 , b ) 26 , c ) 99 , d ) 26 , e ) 91
Answer: d
Input: Problem: ifaequals the sum of the even integers from 2 to 80 , inclusive , andbequals the sum of the odd integers from 1 to 79 , inclusive , what is the value of a - b ? 
Options: a ) 1 , b ) 10 , c ) 19 , d ) 40 , e ) 21
Answer: d
Input: Problem: a number when divided by a divisor leaves a remainder of 21 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ? 
Options: a ) 12 , b ) 13 , c ) 34 , d ) 37 , e ) 59
Answer: d
Input: Problem: if a - b = 3 and a 2 + b 2 = 29 , then find the value of ab 
Options: a ) 7 , b ) 8.5 , c ) 10 , d ) 12 , e ) 14
Answer: c
Input: Problem: if 2 x + y = 4 and x + 2 y = 5 , then ( x + y ) / 3 = 
Options: a ) 1 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4
Answer: a
Input: Problem: 135 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? 
Options: a ) 12 liters , b ) 32 liters , c ) 41 liters , d ) 54 liters , e ) 34 liters
Answer: d
Input: Problem: the average of squares of first 11 consecutive even numbers is : 
Options: a ) 164 , b ) 174 , c ) 184 , d ) 194 , e ) 204
Answer: c
Input: Problem: in a urban village of india named ` ` owlna ' ' , 80 % people have refrigerator , 82 % people have television , 70 % people got computers and 75 % got air - conditionor . how many people ( minimum ) got all these luxury . 
Options: a ) 3 % , b ) 8 % , c ) 7 % , d ) 10 % , e ) 15 %
Answer: c
Input: Problem: if - 3 x + 5 y = 48 and 3 x - 2 y = 6 , what is the product of x and y ? 
Options: a ) 252 , b ) 428 , c ) 464 . , d ) 200 , e ) 642
Answer: a
Input: Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 16 , and 18 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? 
Options: a ) 4 / 11 , b ) 1 / 2 , c ) 15 / 22 , d ) 144 / 17 , e ) 11 / 4
Answer: d
Input: Problem: let exp ( m , n ) = m to the power n . if exp ( 10 , m ) = n exp ( 22 ) where m and n are integers then n = ___ ? 
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
Answer: b
Input: Problem: in 2 bags , there are to be put together 5 red and 12 white balls , neither bag being empty . how must the balls be divided so as to give a person who draws 1 ball from either bag - the least chance of drawing a red ball ? 
Options: a ) 1 / 32 , b ) 2 / 32 , c ) 3 / 32 , d ) 4 / 32 , e ) 5 / 32
Answer: e
Input: Problem: a certain number when divided by 39 leaves a remainder 20 , what is the remainder when the same number is divided by 13 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 0 , e ) 1
Answer: a
Input: Problem: the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 88 , and last 6 numbers is 65 then find 6 th number ? 
Options: a ) a ) 258 , b ) b ) 65 , c ) c ) 58 , d ) d ) 62 , e ) e ) 48
Answer: a
Input: Problem: 49 ã — 49 ã — 49 ã — 49 x 49 = 7 ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 10 , e ) none of these
Answer: d
Input: Problem: what is the least common multiple of 12,27 and 40 
Options: a ) 8521 , b ) 1080 , c ) 368 , d ) 8979 , e ) 6584
Answer: b
Input: Problem: 893.7 – 573.07 – 95.007 = ? 
Options: a ) 225.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these
Answer: a
Input: Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 3410 , r will receive 
Options: a ) 660 , b ) 700 , c ) 800 , d ) 900 , e ) none of these
Answer: a
Input: Problem: 4,25 , 49,121 , 169,289 , 361,529 , 
Options: a ) 149 , b ) 169 , c ) 841 , d ) 920 , e ) 219
Answer: c
Input: Problem: if 1 / ( x + 4 ) + 1 / ( x - 4 ) = 1 / ( x - 4 ) , what is the value of x ? 
Options: a ) 5 , b ) 4 , c ) 1 , d ) 2 , e ) 3
Answer: b