Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 7 / 17 . what was the number erased ? 
Options: a ) seven 7 , b ) 8 , c ) 9 , d ) 15 , e ) 17
Answer: a
Input: Problem: what is the remainder when the number y = 14 ^ 2 * 15 ^ 8 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 5
Answer: a
Input: Problem: the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 33 ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: c
Input: Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 220 , what were her original savings ? 
Options: a ) $ 900 , b ) $ 880 , c ) $ 1000 , d ) $ 700 , e ) $ 1500
Answer: b
Input: Problem: a man whose bowling average is 12.4 , takes 4 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? 
Options: a ) 53 , b ) 54 , c ) 55 , d ) 56 , e ) 57
Answer: c
Input: Problem: there are 6 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 15 other amateurs , what is the total number of chess games possible to be played in the tournament ? 
Options: a ) 10 , b ) 20 , c ) 45 , d ) 60 , e ) 120
Answer: c
Input: Problem: the average monthly income of a and b is rs . 5050 . the average monthly income of b and c is rs . 6250 and the average monthly income of a and c is rs . 5200 . what is the monthly income of a ? 
Options: a ) 2000 , b ) 3000 , c ) 4000 , d ) 5000 , e ) 6200
Answer: c
Input: Problem: if x , y , and z are positive real numbers such that x + y - z = 62 , y - z + x = 82 , and z - x + y = 100 , then find the x + y + z value ? 
Options: a ) 80 , b ) 91 , c ) 62 , d ) 74 , e ) 82
Answer: e
Input: Problem: two trains of equal are running on parallel lines in the same direction at 42 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? 
Options: a ) 30 m , b ) 72 m , c ) 80 m , d ) 82 m , e ) 84 m
Answer: a
Input: Problem: a one - foot stick is marked in 1 / 4 and 1 / 5 portion . how many total markings will there be , including the end points ? 
Options: a ) 18 , b ) 16 , c ) 13 , d ) 9 , e ) 11
Answer: d
Input: Problem: ( 74 + 75 + 76 + 77 + . . . . . + 149 + 150 ) = ? 
Options: a ) 8624 , b ) 8634 , c ) 8654 , d ) 8644 , e ) 8677
Answer: a
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.15 , what is the value of y ? 
Options: a ) 96 , b ) 60 , c ) 48 , d ) 25 , e ) 12
Answer: b
Input: Problem: a school has 4 section of chemistry in class x having 60 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student . 
Options: a ) 50 , b ) 52 , c ) 51 , d ) 53 , e ) none of the above
Answer: b
Input: Problem: which number can we add to 897326 to get a number exactly divisible by 456 ? 
Options: a ) 58 , b ) 66 , c ) 74 , d ) 82 , e ) 90
Answer: d
Input: Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 2 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? 
Options: a ) ( a ) 7 / 16 , b ) ( b ) 7 / 11 , c ) ( c ) 10 / 21 , d ) ( d ) 17 / 35 , e ) ( e ) 1 / 2
Answer: b
Input: Problem: if 3 / w + 3 / x = 3 / y and wx = y , then the average ( arithmetic mean ) of w and x is 
Options: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 4 , e ) 8
Answer: a
Input: Problem: on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number w of races we need to conduct to get the top 3 fastest horses ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11
Answer: b
Input: Problem: if a ( a - 4 ) = 21 and b ( b - 4 ) = 21 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 2 , c ) 4 , d ) 46 , e ) 48
Answer: c
Input: Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty , how much money total will it cost to fuel all cars ? 
Options: a ) 320 $ , b ) 372 $ , c ) 420 $ , d ) 450 $ , e ) 480 $
Answer: b
Input: Problem: if in a certain code ` ` range ' ' is coded as 12345 and ` ` random ' ' is coded as 123678 . then the code for the word ` ` gone ' ' would be 
Options: a ) 3569 , b ) 1552 , c ) 4573 , d ) 4735 , e ) 5235
Answer: d
Input: Problem: the average age of an adult class is 40 years . 8 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? 
Options: a ) 8 , b ) 12 , c ) 15 , d ) 17 , e ) 18
Answer: a
Input: Problem: 0.012 x 0.5 = ? 
Options: a ) 0.0006 , b ) 0.06 , c ) 0.6 , d ) 0.006 , e ) 6.0
Answer: d
Input: Problem: a clock store sold a certain clock to a collector for 25 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 55 percent of what the collector had paid . the shop then sold the clock again at a profit of 70 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 125 , for how much did the shop sell the clock the second time ? 
Options: a ) $ 500 , b ) $ 467.5 , c ) $ 935 , d ) $ 525.5 , e ) $ 465.5
Answer: b
Input: Problem: find the least number must be added to 433124 so that remaining no . is divisible by 17 ? 
Options: a ) 3 , b ) 2 , c ) 5 , d ) 6 , e ) 1
Answer: b
Input: Problem: bottle r contains 250 capsules and costs $ 8.25 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? 
Options: a ) $ 0.25 , b ) $ 0.01 , c ) $ 0.05 , d ) $ 0.03 , e ) $ 0.002
Answer: b
Input: Problem: how many positive integers less than 17 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: d
Input: Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0 , then the value of a 2 + b 2 is : 
Options: a ) 63 , b ) 24 , c ) 17 , d ) 6 , e ) 5
Answer: a
Input: Problem: find large number from below question the difference of two numbers is 1015 . on dividing the larger number by the smaller , we get 9 as quotient and the 15 as remainder 
Options: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1140 , e ) 1635
Answer: d
Input: Problem: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the number ' s sum will be 13 ? 
Options: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 42 , e ) 12 / 21
Answer: d
Input: Problem: 2.205 divided by 0.3 gives 
Options: a ) 7.35 , b ) 6.25 , c ) 8.15 , d ) 6.95 , e ) none of these
Answer: a
Input: Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers w are there between 6 * + 2 and 6 * + 6 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: what is the remainder when 8 ^ 714 is divided by 5 ? 
Options: a ) 2 , b ) 3 , c ) 1 , d ) 0 , e ) 4
Answer: e
Input: Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number v is 
Options: a ) 74 , b ) v = 75 , c ) v = 175 , d ) v = 680 , e ) 690
Answer: b
Input: Problem: if rs . 782 be divided into 3 parts , proportional to 1 / 2 : 1 / 3 : 3 / 4 , then the second part is ? 
Options: a ) a ) 426 , b ) b ) 526 , c ) c ) 207 , d ) d ) 165 , e ) e ) 297
Answer: d
Input: Problem: in a forest 150 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? 
Options: a ) 150 , b ) 750 , c ) 1,250 , d ) 1,500 , e ) 2,500
Answer: d
Input: Problem: company z has 53 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 11 , e ) 12
Answer: d
Input: Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 63 , what is the value of x ? 
Options: a ) 60 , b ) 62 , c ) 64 , d ) 61 , e ) 66
Answer: d
Input: Problem: a batsman makes a score of 100 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning . 
Options: a ) 40 , b ) 50 , c ) 62 , d ) 45 , e ) 56
Answer: b
Input: Problem: a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 7 rows or 6 rows or 4 rows , then no tree will be left . find the least number of trees required 
Options: a ) 22 , b ) 84 , c ) 28 , d ) 76 , e ) 21
Answer: b
Input: Problem: a container holds 4 quarts of diesel and 4 quarts of petrol . how many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol ? 
Options: a ) 4 / 3 , b ) 5 / 3 , c ) 7 / 3 , d ) 8 / 3 , e ) 10 / 3
Answer: d
Input: Problem: at company x , senior sales representatives visit the home office once every 20 days , and junior sales representatives visit the home office once every 15 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? 
Options: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %
Answer: c
Input: Problem: the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.8 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ? 
Options: a ) 4.2 , b ) 4.4 , c ) 4.6 , d ) 5.6 , e ) 5.7
Answer: a
Input: Problem: what is the least value of x , so that 2 x 5452 is divisible by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 0
Answer: e
Input: Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what percent z of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Answer: c
Input: Problem: evaluate : 1234562 - 12 * 3 * 2 = ? 
Options: a ) 32435453 , b ) 1234554 , c ) 76768786 , d ) 97979797 , e ) 75868656
Answer: b
Input: Problem: the average weight of 8 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 ) 76 kg , b ) 76.5 kg , c ) 85 kg , d ) 90 kg , e ) none
Answer: c
Input: Problem: evaluate : 11 + sqrt ( - 4 + 6 × 4 ÷ 3 ) = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: d
Input: Problem: ashok secured average of 79 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? 
Options: a ) 104 , b ) 27 , c ) 99 , d ) 17 , e ) 80
Answer: a
Input: Problem: the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5 . if the sum of the first and the last number is 11 . what is the last numbers ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: a
Input: Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation g of the mean , what percent of the distribution is less than m + g ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Answer: d
Input: Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 28 ) ? 
Options: a ) 2 , b ) 7 , c ) 11 , d ) 13 , e ) 17
Answer: d
Input: Problem: find the numbers which are in the ratio 3 : 2 : 3 such that the sum of the first and the second added to the difference of the third and the second is 24 ? 
Options: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 9 , 3,32 , d ) 9 , 6,12 , e ) 18 , 12,18
Answer: e
Input: Problem: calculate the value of n from the below equation : n ^ 3 â ˆ ’ 10 n + 20 = 44 
Options: a ) 1 , b ) 5 , c ) 3 , d ) 2 , e ) 4
Answer: e
Input: Problem: 32.32 / 2000 is equal to : 
Options: a ) 1.012526 , b ) 0.012625 , c ) 0.12526 , d ) 0.01616 , e ) 0.12725
Answer: d
Input: Problem: how many multiples of 4 are less than 6540 , and also multiples of 7 ? 
Options: a ) 234 , b ) 208 , c ) 340 , d ) 237 , e ) 267
Answer: a
Input: Problem: if x + y = 8 and y − 3 x = 7 , then what is the value of y - x ? 
Options: a ) 1 / 7 , b ) 3 , c ) 15 , d ) 15 / 2 , e ) 60 / 7
Answer: d
Input: Problem: if ( 1 / 2 ) ^ 23 ( 1 / 81 ) ^ k = 1 / 18 ^ 23 , then k = 
Options: a ) 8 , b ) 12 , c ) 16 , d ) 24 , e ) 46 / 4
Answer: e
Input: Problem: what is the remainder when 3 ^ 30 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: e
Input: Problem: a bus started its journey from chennai and reached mumbai in 50 min with its average speed of 60 km / hr . if the average speed of the bus is increased by 6 km / hr , how much time will it take to cover the same distance ? 
Options: a ) 45 min . , b ) 55 min . , c ) 65 min . , d ) 60 min . , e ) 50 min .
Answer: b
Input: Problem: if 2 x = 3 y = 20 , then 12 xy = ? 
Options: a ) 1,200 , b ) 800 , c ) 120 , d ) 40 , e ) 20
Answer: b
Input: Problem: if a = 105 and a ^ 3 = 21 * 25 * 315 * b , what is the value of b ? 
Options: a ) 35 , b ) 7 , c ) 45 , d ) 49 , e ) 54
Answer: b
Input: Problem: if you wish to live to be 100 years old ( hypothetically ) , you must consume 500 calories less than your average daily allowance for your age . if you are in your 60 ' s , and your average daily allowance is 2000 calories per day , how many calories are you allowed in a week ? 
Options: a ) 7000 , b ) 10500 , c ) 14000 , d ) 12000 , e ) 3500
Answer: b
Input: Problem: a number of 44 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? 
Options: a ) 10 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Answer: b
Input: Problem: 24 * 22 = ? / 8 
Options: a ) 4224 , b ) 2224 , c ) 5374 , d ) 2434 , e ) 4254
Answer: a
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 5 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 ) 43 / 60 , c ) 17 / 30 , d ) 19 / 30 , e ) 11 / 15
Answer: b
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 12 . if n / j = 134.08 , what is value of j ? 
Options: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 150
Answer: e
Input: Problem: 5301 x 13 = ? 
Options: a ) 89136 , b ) 31986 , c ) 68910 , d ) 53113 , e ) 68913
Answer: e
Input: Problem: after a storm deposits 115 billion gallons of water into the city reservoir , the reservoir is 80 % full . if the original contents of the reservoir totaled 245 billion gallons , the reservoir was approximately what percentage full before the storm ? 
Options: a ) 45 % , b ) 48 % , c ) 54 % , d ) 58 % , e ) 65 %
Answer: c
Input: Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 32 percent alcohol ? 
Options: a ) 7 / 2 , b ) 5 , c ) 20 / 3 , d ) 8 , e ) 300 / 17
Answer: e
Input: Problem: 16.02 ã — 0.0001 = ? 
Options: a ) 0.1602 , b ) 0.001602 , c ) 1.6021 , d ) 0.01602 , e ) none of these
Answer: b
Input: Problem: at the end of the month , a certain ocean desalination plant ’ s reservoir contained 14 million gallons of water . this amount is twice the normal level . if this amount represents 70 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? 
Options: a ) 2 , b ) 5 , c ) 10 , d ) 12 , e ) 15
Answer: c
Input: Problem: the ages of two persons differ by 24 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively 
Options: a ) 20,20 , b ) 20,10 , c ) 25,15 , d ) 35,11 , e ) none of these
Answer: d
Input: Problem: if 10 x = 8 y = 14 z , then what is a possible sum of positive integers x , y , and z ? 
Options: a ) 52 , b ) 166 , c ) 84 , d ) 122 , e ) 168
Answer: b
Input: Problem: a number of 41 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? 
Options: a ) 13 , b ) 12 , c ) 15 , d ) 16 , e ) 17
Answer: a
Input: Problem: there are 20 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 ) 190 , d ) 60 , e ) 90
Answer: c
Input: Problem: how many multiples of 4 are there between 32 and 252 ? 
Options: a ) 67 , b ) 64 , c ) 54 , d ) 56 , e ) 60
Answer: c
Input: Problem: if you write down all the numbers from 1 to 100 , then how many multiples of 3 ? 
Options: a ) a ) 32 , b ) b ) 38 , c ) c ) 30 , d ) d ) 31 , e ) e ) 33
Answer: e
Input: Problem: a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 4 rows or 5 rows or 6 rows , then no tree will be left . find the least number of trees required 
Options: a ) 22 , b ) 60 , c ) 28 , d ) 76 , e ) 21
Answer: b
Input: Problem: the monthly salaries of 6 employees in a company are $ 1000 , $ 2500 , $ 3100 , $ 3650 , $ 1500 , $ 2000 . what is the mean of the salaries of 6 employees . 
Options: a ) $ 2291.7 , b ) $ 1546.8 , c ) $ 2546.5 , d ) $ 1879.3 , e ) $ 3125.3
Answer: a
Input: Problem: if y ¤ w = y ^ ( 2 w ) for all positive integers , then ( 3 ¤ 4 ) ¤ 2 = 
Options: a ) 3 ^ 8 , b ) 3 ^ 12 , c ) 3 ^ 16 , d ) 3 ^ 24 , e ) 3 ^ 32
Answer: e
Input: Problem: each child has 4 crayons and 14 apples . if there are 9 children , how many crayons are there in total ? 
Options: a ) 22 , b ) 65 , c ) 12 , d ) 36 , e ) 10
Answer: d
Input: Problem: a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 25 % of the length of the race ? 
Options: a ) 44 % , b ) 48 % , c ) 52 % , d ) 42 % , e ) 61 %
Answer: e
Input: Problem: a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent r of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? 
Options: a ) 9 % , b ) 11 % , c ) 15 % , d ) 25 % , e ) 90 %
Answer: d
Input: Problem: if 10 ! - 2 * ( 5 ! ) ^ 2 is divisible by 10 ^ n , what is the greatest value of n ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: in a division , a student took 72 as divisor instead of 36 . his answer was 24 . the correct answer is - 
Options: a ) 42 , b ) 32 , c ) 48 , d ) 28 , e ) 38
Answer: c
Input: Problem: n a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 4 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ? 
Options: a ) 62 , b ) 63 , c ) 64 , d ) 66.66 , e ) 65
Answer: d
Input: Problem: how many multiples of 7 are there between 14 and 343 , exclusive ? 
Options: a ) 48 , b ) 47 , c ) 46 , d ) 45 , e ) 44
Answer: c
Input: Problem: find large number from below question the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1659
Answer: e
Input: Problem: - 69 * 39 + 450 = ? 
Options: a ) 2736 , b ) 2309 , c ) - 2801 , d ) - 2241 , e ) none of these
Answer: d
Input: Problem: if p and q are prime numbers , how many divisors does the product p ^ 6 * q ^ 7 have ? 
Options: a ) 40 , b ) 56 , c ) 60 , d ) 62 , e ) 70
Answer: b
Input: Problem: amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is : 
Options: a ) rs . 4250 , b ) rs . 4288 , c ) rs . 4227 , d ) rs . 4218 , e ) rs . 4219
Answer: a
Input: Problem: find the ones digit of 73 ^ 340 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: a
Input: Problem: jeff has 252 ounces of peanut butter in 16 , 28 . and 40 ounce jars . he has an equal number of each sized jar . how many jars of peanut butter does jeff have ? 
Options: a ) 9 , b ) 8 , c ) 7 , d ) 10 , e ) 11
Answer: a
Input: Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32 . in the company , what is the maximum number of non - managers in a department that has 8 managers ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39
Answer: b
Input: Problem: there is an antique clock exhibition . so many clock are piled up with distinct numbers tagged with them . the person managing it hangs different clocks numbers periodically on the main wall . at 9 : 20 am , he hung the clock number 200 ; at 11 : 00 am , he hung the clock number 30 ; at 4 : 00 pm , he hung the clock number 240 . which numbered clock will he hang on the wall when the time is 7 : 30 pm ? 
Options: a ) 313 , b ) 314 , c ) 315 , d ) 316 , e ) 317
Answer: c
Input: Problem: if 9 a - b = 10 b + 80 = - 12 b - 2 a , what is the value of 2 a + 22 b ? 
Options: a ) - 4 , b ) - 2 , c ) - 80 , d ) 2 , e ) 4
Answer: c
Input: Problem: in a group of cows and hens , the number of legs are 20 more than twice the number of heads . the number of cows is : 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 10 , e ) 12
Answer: d
Input: Problem: the average of first 10 natural numbers is ? 
Options: a ) 5.6 , b ) 5.5 , c ) 5.1 , d ) 5.8 , e ) 5.2
Answer: b
Input: Problem: what is the difference between the largest number and the least number written with the digits 7 , 3 , 1 , 4 ? 
Options: a ) 6084 , b ) 6184 , c ) 5084 , d ) 6048 , e ) 6049
Answer: a
Input: Problem: in a class , 6 students can speak gujarati , 15 can speak hindi and 6 can speak marathi . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: b
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: c
Input: Problem: find the principle on a certain sum of money at 6 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? 
Options: a ) 979 , b ) 1288 , c ) 2778 , d ) 2682 , e ) 1021
Answer: a
Input: Problem: if 5 x = 3 y and xy ≠ 0 , what is the ratio of 1 / 5 * x to 1 / 6 * y ? 
Options: a ) 25 / 6 , b ) 36 / 25 , c ) 18 / 25 , d ) 5 / 6 , e ) 25 / 36
Answer: c
Input: Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together . 
Options: a ) 40 , b ) 26 , c ) 27 , d ) 28 , e ) 22
Answer: b
Input: Problem: $ 200 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is 
Options: a ) $ 80 , b ) $ 50 , c ) $ 25 , d ) $ 200 , e ) $ 50
Answer: a
Input: Problem: if x is 20 percent more than y and y is 30 percent less than z , then x is what percent of z ? 
Options: a ) 500 % , b ) 250 % , c ) 500 / 3 % , d ) 84 % , e ) 60 %
Answer: d
Input: Problem: for what value of x between − 8 and 8 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ? 
Options: a ) − 8 , b ) − 2 , c ) 0 , d ) 2 , e ) 8
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 30 runs . find his average in all the 30 matches ? 
Options: a ) 31 , b ) 36.67 , c ) 88 , d ) 13 , e ) 12
Answer: b
Input: Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 35 as remainder 
Options: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1678 , e ) 1631
Answer: e
Input: Problem: pure milk costs 3.60 per litre . a milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre . how many litres of water does he add ? 
Options: a ) 2 litres , b ) 5 litres , c ) 7 litres , d ) 11 litres , e ) none of these
Answer: b
Input: Problem: find the least number must be subtracted from 964807 so that remaining no . is divisible by 8 ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: a
Input: Problem: the captain of a cricket team of 11 members is 25 years old and the wicket keeper is 3 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 ) 20 years , b ) 21 years , c ) 22 years , d ) 23 years , e ) 24 years
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 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 88 , b ) 45 , c ) 36 , d ) 80 , e ) 12
Answer: b
Input: Problem: a bus starts from city x . the number of women in the bus is half of the number of men . in city y , 16 men leave the bus and 8 women enter . now , number of men and women is equal . in the beginning , how many passengers entered the bus ? 
Options: a ) 15 , b ) 30 , c ) 36 , d ) 72 , e ) 46
Answer: d
Input: Problem: 8 percent of the programmers in a startup company weigh 200 pounds or more . 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less . what percent of the programmers in the startup company weigh between 100 and 200 pounds ? 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 69 % , e ) 75 %
Answer: d
Input: Problem: jill has 21 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 36 , e ) 14
Answer: d
Input: Problem: at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 40 liters of fuchsia to change it to mauve paint ? 
Options: a ) 9 , b ) 12 , c ) 15 , d ) 16 , e ) 26.6
Answer: e
Input: Problem: the sum of the present age of henry and jill is 40 . what is their present ages if 11 years ago henry was twice the age of jill ? 
Options: a ) and 27 , b ) and 24 , c ) and 23 , d ) and 29 , e ) of these
Answer: c
Input: Problem: tough and tricky questions : exponents . if 7 ^ ( 3 x - 1 ) * 3 ^ ( 4 y - 3 ) = 49 ^ x * 27 ^ y , then x + y = 
Options: a ) 3 , b ) 4 , c ) 2 , d ) 1 , e ) 5
Answer: b
Input: Problem: there are 300 giraffes at a large zoo . the number of giraffes is 3 times the number of all the other animals combined . how many more giraffes are there than non giraffes animals at the zoo ? 
Options: a ) 400 , b ) 360 , c ) 300 , d ) 290 , e ) 200
Answer: d
Input: Problem: the heights of 3 individuals are in the ratio 4 : 5 : 6 . if the sum of the heights of the heaviest and the lightest boy is 150 cm more than the height of the third boy , what is the weight of the lightest boy ? 
Options: a ) 120 cm , b ) 150 cm , c ) 160 cm , d ) 190 cm , e ) of these
Answer: a
Input: Problem: an auction house charges a commission of 20 % 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 ) $ 190,000 , c ) $ 215,000 , d ) $ 240,000 , e ) $ 365,000
Answer: b
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 115 . find the divisor ? 
Options: a ) 370 , b ) 365 , c ) 380 , d ) 367 , e ) 460
Answer: d
Input: Problem: a solution is 90 % glycerin . if there are 4 gallons of the solution , how much water , in gallons must be addded to make a 75 % glycerin solution 
Options: a ) 1.8 , b ) 1.4 , c ) 1.2 , d ) 1.0 , e ) 0.8
Answer: e
Input: Problem: a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 500 each from people already solicited . people already solicited represent 50 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ? 
Options: a ) $ 200 , b ) $ 333.33 , c ) $ 100.25 , d ) $ 277.78 , e ) $ 377.00
Answer: b
Input: Problem: the average of 9 observations was 6 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ? 
Options: a ) 36 , b ) 12 , c ) 15 , d ) 17 , e ) 18
Answer: a
Input: Problem: the difference between the place values of 9 and 4 in the number 927435 is 
Options: a ) 899600 , b ) 856200 , c ) 875200 , d ) 896200 , e ) none
Answer: a
Input: Problem: if 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes 
Options: a ) 55 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Answer: a
Input: Problem: if the average of w , b , c , 14 and 15 is 12 . what is the average value of w , b , c and 29 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: how many numbers from 2 to 7 are exactly divisible by 2 ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 8
Answer: b
Input: Problem: andy solves problems 75 to 125 inclusive in a math exercise . how many problems does he solve ? 
Options: a ) 53 , b ) 52 , c ) 51 , d ) 50 , e ) 49
Answer: c
Input: Problem: j is 25 % less than p and 20 % less than t . t is x % less than p . what is the value of x ? 
Options: a ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2
Answer: d
Input: Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? 
Options: a ) 95 kg , b ) 90 kg , c ) 85 kg , d ) data inadequate , e ) none of these
Answer: a
Input: Problem: the number 152 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 15 , c ) 21 , d ) 27 , e ) 39
Answer: b
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 and c be 32 , the how old is b ? 
Options: a ) 10 years , b ) 12 years , c ) 14 years , d ) 15 years , e ) 16 years
Answer: b
Input: Problem: a cement mixture is composed of 3 elements . by weight , 1 / 2 of the mixture is sand , 1 / 5 of the mixture is water , and the remaining 15 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 80
Answer: c
Input: Problem: a sum of money is sufficient to pay a ' s wages for 20 days and b ' s wages for 30 days . the same money is sufficient to pay the wages of both for ? 
Options: a ) 12 days , b ) 15 days , c ) 20 days , d ) 18 days , e ) 22 days
Answer: a
Input: Problem: if x + y = 25 and x 2 y 3 + y 2 x 3 = 25 , what is the value of xy ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: in a certain school , 25 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 36 . what is the total number of students in the school ? 
Options: a ) 72 , b ) 80 , c ) 120 , d ) 150 , e ) 100
Answer: b
Input: Problem: what least no . must be subtracted from 10154 so that remaining no . is divisible by 30 ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 8 , e ) 9
Answer: c
Input: Problem: in a fuel station the service costs $ 2.30 per vehicle and every liter of fuel costs $ 0.70 . assuming that you fill up 4 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ? 
Options: a ) $ 396 , b ) $ 400 , c ) $ 404 , d ) $ 408 , e ) $ 412
Answer: a
Input: Problem: how many positive integers less than 247 are multiple of 4 but not multiples of 6 ? 
Options: a ) 20 , b ) 41 , c ) 42 , d ) 53 , e ) 64
Answer: b
Input: Problem: how many of the positive divisors of 120 are also multiples of 4 not including 120 ? 
Options: a ) 3 . , b ) 4 . , c ) 5 . , d ) 7 . , e ) 8 .
Answer: c
Input: Problem: 0.0003 x 0.3 = ? 
Options: a ) 0.0009 , b ) 9.0 e - 05 , c ) 0.09 , d ) 0.009 , e ) 9.0
Answer: b
Input: Problem: 3 candidates contested an election and received 1000 , 2000 and 4000 votes respectively . what percentage of the total votes did the winning candidate got ? 
Options: a ) 30 % , b ) 50 % , c ) 57 % , d ) 62 % , e ) 75 %
Answer: c
Input: Problem: find the maximum value of the function f ( x ) = x − 5 if x is a number between - 5 and 13 . 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) none
Answer: c
Input: Problem: julian owes his classmate jenny 20 dollars . if he borrows 8 dollars how much will he owe her ? 
Options: a ) 28 , b ) 12 , c ) - 28 , d ) 12 , e ) 0
Answer: c
Input: Problem: if the number is decreased by 5 and divided by 7 the result is 7 . what would be the result if 4 is subtracted and divided by 10 ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 5 , e ) 3
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 b crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of b ? 
Options: a ) b / 2 , b ) b , c ) 3 b / 2 , d ) 2 b , e ) 3 b
Answer: e
Input: Problem: a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? 
Options: a ) 30 % . , b ) 71 % . , c ) 49 % . , d ) 29 % . , e ) 51 % .
Answer: a
Input: Problem: a palindrome is a number that reads the same forward and backward , such as 124 . how many odd , 4 - digit numbers are palindromes ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 60 , e ) 2500
Answer: d
Input: Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4030 , r will receive 
Options: a ) 600 , b ) 780 , c ) 800 , d ) 900 , e ) none of these
Answer: b
Input: Problem: if a - b = 9 and a ^ 2 + b ^ 2 = 281 , find the value of ab 
Options: a ) 100 , b ) 12 , c ) 15 , d ) 18 , e ) 19
Answer: a
Input: Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length w of a cube whose surface area is equal to 6 z ? 
Options: a ) w = 16 , b ) w = 8 √ 2 , c ) w = 8 , d ) w = 2 √ 2 , e ) ( √ 2 ) / 3
Answer: d
Input: Problem: 500 x 223 + 500 x 77 = ? 
Options: a ) 2736900 , b ) 2738800 , c ) 150000 , d ) 2716740 , e ) none of them
Answer: c
Input: Problem: the average age of 17 students of a class is 17 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 17 th student is 
Options: a ) 62 , b ) 66 , c ) 18 , d ) 75 , e ) 12
Answer: d
Input: Problem: if x is the sum of first 100 positive even integers and y is the sum of first 100 positive odd integers , what is the value of x - y ? please try to explain your answers 
Options: a ) 0 , b ) 25 , c ) 50 , d ) 75 , e ) 100
Answer: e
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years , the ratio of the number of boys to the number of girls in the class is : 
Options: a ) 2 : 9 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 6
Answer: b
Input: Problem: if q = { 1 , 7 , 18 , 20 , 29 , 33 } , how much less is the mean of the numbers in q than the median of the numbers in q ? 
Options: a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0
Answer: a
Input: Problem: there is a 30 % increase in the price of an article in the first year , a 20 % decrease in the second year and a 10 % increase in the next year . if the final price of the article is rs . 2288 , then what was the price of the article initially ? 
Options: a ) rs . 2008 , b ) rs . 2022 , c ) rs . 2000 , d ) rs . 2029 , e ) rs . 2021
Answer: c
Input: Problem: in a coconut grove , ( x + 4 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x – 4 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . 
Options: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) none of the above
Answer: c
Input: Problem: a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . 
Options: a ) 107 , b ) 117 , c ) 127 , d ) 137 , e ) 147
Answer: b
Input: Problem: a batsman scored 140 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 50 % , b ) 40 % , c ) 60 % , d ) 57 % , e ) 80 %
Answer: d
Input: Problem: how many 3 - digit numbers are divisible by 6 in all ? 
Options: a ) 149 , b ) 150 , c ) 151 , d ) 166 , e ) none
Answer: b
Input: Problem: if p represents the product of the first 14 positive integers , then p is not a multiple of : 
Options: a ) a ) 99 , b ) b ) 84 , c ) c ) 51 , d ) d ) 65 , e ) e ) 57
Answer: c
Input: Problem: 3034 - ( 1002 / 200.4 ) = ? 
Options: a ) 2984 , b ) 3029 , c ) 2982 , d ) 2981 , e ) none of these
Answer: b
Input: Problem: 49 , 98 , 686 , 1372 . . . . 
Options: a ) 9052 , b ) 8711 , c ) 9279 , d ) 9604 , e ) 9086
Answer: d
Input: Problem: a certain elevator has a safe weight limit of 2000 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: c
Input: Problem: q and r are two - digit positive integers that have the same digits but in reverse order . if the positive difference between q and r is less than 30 , what is the greatest possible value of q minus r ? 
Options: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27
Answer: e
Input: Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? 
Options: a ) 82.5 , b ) 52.9 , c ) 52.2 , d ) 52.5 , e ) 52.7
Answer: d
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is 
Options: a ) 11 , b ) 15 , c ) 6 , d ) 8 , e ) 76
Answer: a
Input: Problem: if there are 4 peanuts in a box and mary puts 6 more peanuts inside , how many peanuts are in the box ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: c
Input: Problem: what is the units digit of 33 ^ 2 * 17 ^ 3 * 49 ^ 3 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: b
Input: Problem: in a certain warehouse , 40 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? 
Options: a ) 8 , b ) 64 , c ) 48 , d ) 102 , e ) 144
Answer: c
Input: Problem: p is 3 times as old as q . in 11 years , p will be twice as old as q . how old was p 3 years ago ? 
Options: a ) 21 , b ) 24 , c ) 27 , d ) 30 , e ) 33
Answer: d
Input: Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 45 marks . how many sums did sandy get correct ? 
Options: a ) 18 , b ) 21 , c ) 24 , d ) 27 , e ) 28
Answer: b
Input: Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did c get in a profit of rs . 2490 ? 
Options: a ) s . 332 , b ) s . 498 , c ) s . 822 , d ) s . 812 , e ) s . 810
Answer: b
Input: Problem: the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 80 cents more than the commodity y ? 
Options: a ) 2010 . , b ) 2011 . , c ) 2012 . , d ) 2013 . , e ) 2014 .
Answer: b
Input: Problem: the sum of the first 50 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? 
Options: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600
Answer: b
Input: Problem: if 75 percent of 600 is 50 percent of x , then x = ? 
Options: a ) 800 , b ) 900 , c ) 1000 , d ) 1100 , e ) 1200
Answer: b
Input: Problem: if a fraction is multiplied by itself and then divided by the reciprocal of the same fraction , the result is 18 26 / 27 . find the fraction . 
Options: a ) 8 / 27 , b ) 1 1 / 3 , c ) 2 2 / 3 , d ) 3 / 3 , e ) none of these
Answer: c
Input: Problem: if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Answer: d
Input: Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 50 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? 
Options: a ) a ) 0.9 , b ) b ) 0.5 , c ) c ) 0.45 , d ) d ) 0.3 , e ) e ) 0.25
Answer: b
Input: Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many g meters long ? 
Options: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 3
Answer: b
Input: Problem: a is the hundreds digit of the 3 digit integer x , b is the tens digit of x , and c is the units digit of x . 4 a = 2 b = c , and a > 0 . what is the difference between the two greatest possible values of x ? tip : dont stop till you have exhausted all answer choices to arrive at the correct one . 
Options: a ) 124 , b ) 297 , c ) 394 , d ) 421 , e ) 842
Answer: a
Input: Problem: there are certain number of hats and gloves in a box . they are of 41 red , 23 green , 11 orange . power gone but a woman can differentiate between hats and gloves . how many draws are required to obtain a pair of each color ? 
Options: a ) 66 , b ) 67 , c ) 68 , d ) 69 , e ) 70
Answer: a
Input: Problem: the ratio of the ages of 3 people is 4 : 6 : 7 . 8 years ago , the sum of their ages was 44 . find their present ages . 
Options: a ) 28 , 42,49 , b ) 24 , 36,42 , c ) 20 , 30,35 , d ) 16 , 24,28 , e ) 12 , 18,21
Answer: d
Input: Problem: the sum of ages of 5 children born 3 years different each is 50 years . what is the age of the elder child ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 16 , e ) 17
Answer: d
Input: Problem: united telephone charges a base rate of $ 6.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the same ? 
Options: a ) 20 minutes , b ) 110 minutes , c ) 120 minutes , d ) 140 minutes , e ) 160 minutes
Answer: c
Input: Problem: rice weighing 25 / 2 pounds was divided equally and placed in 4 containers . how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces ) 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Answer: b
Input: Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 15 percent alcohol by volume ? 
Options: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250
Answer: b
Input: Problem: for 6 - digit integer 46 x , y 12 , when x and y are drawn at random from { 3 , 58 } , what is the probability w that the integer drawn is divisible by 8 ? * a solution will be posted in two days . 
Options: a ) 1 / 6 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6
Answer: d
Input: Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 14 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? 
Options: a ) 40 , b ) 77 , c ) 48 , d ) 52 , e ) none of these
Answer: b
Input: Problem: a car traveled 35 % of the way from town x to town y at an average speed of 35 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? 
Options: a ) 45 , b ) 65 , c ) 55 , d ) 75 , e ) 85
Answer: b
Input: Problem: it takes 60 identical printing machines 2 hours to print 300 cards . how much more time would it take 50 of these machines to print the same total ? 
Options: a ) 20 min , b ) 25 min , c ) 26 min , d ) 36 min , e ) 30 min
Answer: d
Input: Problem: the average marks of a class of 30 students is 30 and that of another class of 50 students is 60 . find the average marks of all the students ? 
Options: a ) 52.5 , b ) 52.9 , c ) 52.1 , d ) 48.75 , e ) 42.5
Answer: d
Input: Problem: what is the remainder when 121212 . . . . . . . ( 300 ) digits is divided by 99 . 
Options: a ) 18 , b ) 36 , c ) 72 , d ) 0 , e ) 1
Answer: a
Input: Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 8.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ? 
Options: a ) $ 8.40 , b ) $ 5.10 , c ) $ 5.30 , d ) $ 5.50 , e ) $ 5.60
Answer: a