niryuu/sni-each-converted huggingface dataset:
Problem: x is a positive integer of t less than 500 . 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
Output: d
Problem: what is the difference between the largest number and the least number written with the digits 9 , 3 , 1 , 2 ? 
Options: a ) 6084 , b ) 3788 , c ) 2077 , d ) 8082 , e ) 1812
Output: d
Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 4 years hence ? 
Options: a ) 22 , b ) 77 , c ) 70 , d ) 68 , e ) 71
Output: d
Problem: find the largest number of 4 digits which is exactly divisible by 2718 , 1615 
Options: a ) 8600 , b ) 8610 , c ) 8620 , d ) 8630 , e ) 8640
Output: e
Problem: in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 1 : 4 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ? 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6
Output: d
Problem: the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 50 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? 
Options: a ) 55 , b ) 56 , c ) 57 , d ) 58 , e ) 59
Output: a
Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 8000 in a long term bond that pays 4 percent interest , compounded annually , what will be the approximate total amount of investment 36 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 32000 , d ) $ 10000 , e ) $ 9000
Output: c
Problem: what is the units digit of 3333 ^ ( 333 ) * 3333 ^ ( 222 ) ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: d
Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years . find the average age of the women ? 
Options: a ) 87 , b ) 98 , c ) 30 , d ) 29 , e ) 37
Output: d
Problem: what is 2 3 / 4 - 1 2 / 5 divided by 2 / 3 - 1 / 3 ? 
Options: a ) 17 / 36 , b ) 36 / 17 , c ) 7 / 6 , d ) 27 / 20 , e ) 51 / 44
Output: d
Problem: in a can , there is a mixture of milk and water in the ratio 3 : 7 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 7 . find the capacity of the can ? 
Options: a ) 16.6 , b ) 44 , c ) 27 , d ) 50 , e ) 56
Output: a
Problem: the price of 3 pants and 6 t - shirts is rs . 1500 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ? 
Options: a ) 700 , b ) 300 , c ) 250 , d ) 550 , e ) 800
Output: e
Problem: set k contains every multiple of 6 from 18 to 306 inclusive . if w is the median of set k , and x is the average ( arithmetic mean ) of set k , what is the value of w - x ? 
Options: a ) - 6 , b ) - 3 , c ) 0 , d ) 3 , e ) 6
Output: c
Problem: what is the sum of all the multiples of 10 between 0 and 100 ? 
Options: a ) 500 , b ) 620 , c ) 550 , d ) 340 , e ) 440
Output: c
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
Output: d
Problem: from 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer ? 
Options: a ) 150 , b ) 164 , c ) 259 , d ) 311 , e ) 224
Output: e
Problem: a grocer has a sale of rs . 5255 , rs . 5840 , rs . 5921 , rs . 6022 and rs . 6499 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5500 ? 
Options: a ) 3463 , b ) 4463 , c ) 5463 , d ) 4063 , e ) 5063
Output: b
Problem: what is the next number : 2 , 17 , 257 , __ 
Options: a ) 2977 , b ) 3837 , c ) 4097 , d ) 4847 , e ) 5387
Output: c
Problem: a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum mark is 
Options: a ) 600 , b ) 500 , c ) 400 , d ) 300 , e ) 800
Output: b
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 . 83200 ? 
Options: a ) 81000 , b ) 81028 , c ) 105300 , d ) 29889 , e ) 22312
Output: c
Problem: given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 4 ? 
Options: a ) 7 , b ) 8 , c ) 10 , d ) 11 , e ) 12
Output: c
Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 19
Output: a
Problem: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 30 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? 
Options: a ) 35.67 % , b ) 64.75 % , c ) 68.57 % , d ) 69.10 % , e ) none of these
Output: d
Problem: for a group of n people , k of whom are of the same sex , the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex . for a group that consists of 20 people , 8 of whom are females , by how much does the index for the females exceed the index for the males in the group ? 
Options: a ) 0.05 , b ) 0.0625 , c ) 0.2 , d ) 0.25 , e ) 0.6
Output: c
Problem: if 4 x + y = 34 , 2 x - y = 20 , for integers of x and y , y ^ 2 = ? 
Options: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 3
Output: b
Problem: divide rs . 1200 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) s . 800 , b ) s . 400 , c ) s . 600 , d ) s . 500 , e ) s . 300
Output: e
Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? 
Options: a ) 25 % , b ) 15 % , c ) 20 % , d ) 40 % , e ) 45 %
Output: a
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 10 more than the number who did not , and if receipts for registration and lunch totaled $ 61720 , how many people paid just for registration at the meeting ? 
Options: a ) 700 , b ) 800 , c ) 1,300 , d ) 500 , e ) 1,800
Output: d
Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 ? 
Options: a ) 32 , b ) 20 , c ) 28 , d ) 11 , e ) 18
Output: b
Problem: a pupil ' s marks were wrongly entered as 83 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 ) 13 , b ) 18 , c ) 40 , d ) 82 , e ) 43
Output: c
Problem: 5 is added to a certain number , the sum is multiplied by 5 , the product is divided by 5 and 5 is subtracted from the quotient . the remainder left is half of 60 . what is the number ? 
Options: a ) 21 , b ) 20 , c ) 2 , d ) 30 , e ) 45
Output: c
Problem: the average age of applicants for a new job is 30 , with a standard deviation of 7 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? 
Options: a ) 8 , b ) 14 , c ) 15 , d ) 18 , e ) 30
Output: c
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
Output: d
Problem: a 6 - liter solution is 30 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? 
Options: a ) 1.8 , b ) 2.1 , c ) 2.4 , d ) 2.7 , e ) 3.0
Output: c
Problem: workers in a factory store products inside two different sized boxes . the bigger of the boxes can store 50 products while the smaller box can store 40 products . if a fresh batch of products numbering 212 in total were to be stored , what is the least number of products that will not be boxed ? 
Options: a ) 23 , b ) 11 , c ) 2 , d ) 10 , e ) 12
Output: e
Problem: if | 20 x - 10 | = 190 , then find the product of the values of x ? 
Options: a ) - 45 , b ) 50 , c ) - 62 , d ) 35 , e ) - 90
Output: e
Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 8 ? 
Options: a ) 61,600 , b ) 64,850 , c ) 64,749 , d ) 49,700 , e ) 56,720
Output: a
Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 60 , and what number ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 55
Output: b
Problem: how many integers are divisible by 3 between 10 ! and 10 ! + 20 inclusive ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: b
Problem: after 6 games , team b had an average of 75 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? 
Options: a ) 5 , b ) 4 , c ) 7 , d ) 3 , e ) 8
Output: d
Problem: the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ? 
Options: a ) 10 , b ) 10.5 , c ) 11 , d ) 11.5 , e ) 12
Output: b
Problem: the average salary of 15 people in the shipping department at a certain firm is $ 21,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ? 
Options: a ) $ 19,250 , b ) $ 18,500 , c ) $ 21,000 , d ) $ 15,850 , e ) $ 12,300
Output: c
Problem: what is the sum of the 1 st 5 prime numbers greater than 20 ? 
Options: a ) 121 , b ) 151 , c ) 168 , d ) 164 , e ) 161
Output: e
Problem: a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 100 m long train running at 99 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 14 sec , b ) 67 sec , c ) 98 sec , d ) 36 sec , e ) 23 sec
Output: a
Problem: find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.00 ) / ( √ 0.49 ) is 
Options: a ) 2.65 , b ) 145 / 63 , c ) 155 / 63 , d ) 125 / 63 , e ) 185 / 63
Output: a
Problem: city x has a population 5 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ? 
Options: a ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 4 : 1 , e ) 10 : 1
Output: e
Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 4 ? 
Options: a ) 17 / 36 , b ) 36 / 17 , c ) 17 / 6 , d ) 17 / 3 , e ) 51 / 4
Output: d
Problem: if z is a multiple of 7899 , what is the remainder when z ^ 2 is divided by 9 ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 6 , e ) 7
Output: a
Problem: if n divided by 7 has a remainder of 2 , what is the remainder when 6 times n is divided by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: d
Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 21 gallons of gasoline ? 
Options: a ) 190 , b ) 284.6 , c ) 300 , d ) 256 , e ) 312
Output: d
Problem: of the families in city x in 2000 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2004 was 20 percent greater than it was in 1994 , and the total number of families in city x was 10 percent greater in 2004 than it was in 2000 . what percent of the families in city x owned a personal computer in 1998 ? 
Options: a ) 55.42 % , b ) 52.25 % , c ) 56.23 % , d ) 30.70 % , e ) 32.72 %
Output: e
Problem: addison high school ’ s senior class has 200 boys and 160 girls . if 60 % of the boys and 75 % of the girls attended college , what percentage of the total class that did not attend college ? 
Options: a ) 33.33 , b ) 60 , c ) 80 , d ) 66.67 , e ) 64
Output: d
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
Output: e
Problem: total dinning bill of 3 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . 
Options: a ) 21.84 , b ) 50.96 , c ) 53.84 , d ) 24.84 , e ) 50.26
Output: b
Problem: how should we mix two rice packets to get one 1 kg packet priced at rs 8 when the prices of 1 kg packets of the two types are rs 7.1 and rs 9.2 . 
Options: a ) 4 : 3 , b ) 4 : 7 , c ) 4 : 9 , d ) 4 : 2 , e ) 4 : 1
Output: a
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
Output: d
Problem: an alloy of copper and zinc contains copper and zinc in the ratio 9 : 6 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 9 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? 
Options: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2
Output: d
Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 60 % have red flags , what percentage of children have flags of both the colors ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) it can not be determined
Output: d
Problem: 3 times the first of 3 consecutive odd integers is 3 more than twice the third . the third integer is ? 
Options: a ) 15 , b ) 17 , c ) 19 , d ) 21 , e ) 26
Output: a
Problem: a certain number when divided by 39 leaves a remainder 16 , what is the remainder when the same number is divided by 13 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 3
Output: e
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of 
Options: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined
Output: b
Problem: students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? 
Options: a ) 74 % , b ) 75 % , c ) 67 % , d ) 72 % , e ) none
Output: c
Problem: 1 , 6 , 24 , 60 , 120 , 210 , ___ ? 
Options: a ) 336 , b ) 366 , c ) 330 , d ) 660 , e ) 770
Output: a
Problem: in a office work is distribute between p persons . if 1 / 8 members are absent then work increased for each person is ? 
Options: a ) 13.28 % , b ) 14.28 % , c ) 15.28 % , d ) 16.28 % , e ) 17.28 %
Output: b
Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 25 and the slope of line segment ac is 4 / 3 , what is the length of ab ? 
Options: a ) 12 , b ) 18 , c ) 24 , d ) 20 , e ) 40
Output: d
Problem: x is the product of each integer from 1 to 100 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Output: e
Problem: if h = { 1 , 7 , 18 , 20 , 29 , 33 } , how much less is the mean of the numbers in h than the median of the numbers in h ? 
Options: a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0
Output: a
Problem: what is the sum of all the multiples of 10 between 0 and 120 ? 
Options: a ) 500 , b ) 620 , c ) 450 , d ) 340 , e ) 780
Output: e
Problem: a waiter ' s salary consists of his salary and tips . during one week his tips were 5 / 3 of his salary . what fraction of his income came from tips ? 
Options: a ) 4 / 9 , b ) 5 / 4 , c ) 5 / 8 , d ) 5 / 9 , e ) 6 / 9
Output: c
Problem: evaluate : 6402.5 + 640.25 + 64.025 + 6.4025 + 0.64025 
Options: a ) 6819.59775 , b ) 6981.59775 , c ) 6918.59775 , d ) 7113.81775 , e ) 6891.59775
Output: d
Problem: one week , a certain truck rental lot had a total of 18 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 12 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ? 
Options: a ) 18 , b ) 16 , c ) 12 , d ) 8 , e ) 4
Output: c
Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost r is what percent of the original cost ? 
Options: a ) r = 200 , b ) r = 600 , c ) r = 800 , d ) r = 1600 , e ) r = 50
Output: d
Problem: when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 2
Output: a
Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? 
Options: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 300,000 , e ) $ 2 , 200,000
Output: d
Problem: mary is expected to pay back a total sum of $ 819200 to her bank as mortgage . if she is expected to make a payment which is double of the previous months amount , how long will it take her to fully repay the loan if her initial payment was $ 400 . 
Options: a ) 13 , b ) 15 , c ) 12 , d ) 10 , e ) 11
Output: e
Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 105 . what is that number ? 
Options: a ) 12 , b ) 29 , c ) 27 , d ) 15 , e ) 99
Output: d
Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 40 units . if today ' s production of 90 units raises the average to 45 units per day , what is the value of n ? 
Options: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 7
Output: d
Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 9 , x ^ 4 + ( 1 / x ^ 4 ) = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 79
Output: e
Problem: a number when divided by a certain divisor left remainder 251 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? 
Options: a ) 370 , b ) 365 , c ) 390 , d ) 456 , e ) 460
Output: c
Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 8 g / cm ^ 3 , then the weight of the pipe is : 
Options: a ) 3.6 kg , b ) 3.696 kg , c ) 36 kg , d ) 36.9 kg , e ) 3.06 kg
Output: b
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 20 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of 
Options: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined
Output: a
Problem: chris mixed 5 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 3 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ? 
Options: a ) 5 / 17 , b ) 1 / 5 , c ) 1 / 4 , d ) 1 / 3 , e ) 3 / 7
Output: a
Problem: the ages of two person differ by 20 years . if 8 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively 
Options: a ) 33 , 13 , b ) 25 , 5 , c ) 29 , 9 , d ) 50 , 30 , e ) 20,10
Output: a
Problem: a scale 6 ft . 8 inches long is divided into 5 equal parts . find the length of each part . 
Options: a ) 20 inches , b ) 77 inches , c ) 16 inches , d ) 97 inches , e ) 66 inches
Output: c
Problem: when n is divided by 24 , the remainder is 6 . what is the remainder when 3 n is divided by 8 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 2
Output: e
Problem: if k is an integer and 0.0010101 x 10 ^ k is greater than 10 , what is the least possible value of k ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c
Problem: a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ? 
Options: a ) 120 , b ) 150 , c ) 180 , d ) 210 , e ) 240
Output: c
Problem: a students was asked to find the arithmetic mean of the numbers 3 , 11 , 7 , 9 , 15 , 13 , 8 , 19 , 17 , 21 , 14 and x . he found the mean to be 12 . what should be the number in place of x ? 
Options: a ) 3 , b ) 7 , c ) 17 , d ) 31 , e ) 38
Output: b
Problem: there are 3 departments having students 72 , 5824 . in an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only ( no mixing of departments ) . find the minimum number of rooms required ? 
Options: a ) 73 , b ) 74 , c ) 75 , d ) 76 , e ) 77
Output: e
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 ration of the number of boys to the number of girls in the class is ? 
Options: a ) 2 : 7 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 9 , e ) 2 : 2
Output: b
Problem: in a recent election , james received 15 percent of the 10000 votes cast . to win the election , a candidate needed to receive more than 51 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 1004 , b ) 1000 , c ) 3600 , d ) 1201 , e ) 3601
Output: e
Problem: $ 350 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? 
Options: a ) $ 200 , b ) $ 225 , c ) $ 250 , d ) $ 275 , e ) $ 300
Output: c
Problem: a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 310000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? 
Options: a ) $ 1,292 , b ) $ 1,733 , c ) $ 3,466 , d ) $ 12,917 , e ) $ 20,796
Output: a
Problem: 5 n + 7 > 12 and 7 n - 5 < 44 ; n must be between which numbers ? 
Options: a ) 1 and 8 , b ) 2 and 6 , c ) 0 and 9 , d ) 1 and 7 , e ) 2 and 9
Output: d
Problem: a whale goes on a feeding frenzy that lasts for 9 hours . for the first hour he catches and eats x kilos of plankton . in every hour after the first , it consumes 3 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton , how many kilos did he consume on the sixth hour ? 
Options: a ) 38 , b ) 47 , c ) 50 , d ) 53 , e ) 62
Output: d
Problem: what is the range of all the roots of | x ^ 2 - 1 | = x ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Output: d
Problem: a waitress ' s income consists of her salary and tips . during one week , her tips were 9 / 4 of her salary . what fraction of her income for the week came from tips ? 
Options: a ) 9 / 13 , b ) 1 / 6 , c ) 1 / 3 , d ) 4 / 9 , e ) 5 / 9
Output: a
Problem: 893.7 – 573.07 – 95.007 = ? 
Options: a ) 225.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these
Output: a
Problem: find a number such that it exceeds 18 by 3 times the number by which it is less than 86 ? 
Options: a ) 67 , b ) 68 , c ) 69 , d ) 70 , e ) 71
Output: c
Problem: a random 10 - letter code is to be formed using the letters a , b , c , d , e , f , g , h , i and i ( only the “ i ” will be used twice ) . what is the probability that a code that has the two i ’ s adjacent to one another will be formed ? 
Options: a ) 1 / 10 , b ) 1 / 8 , c ) 1 / 5 , d ) 1 / 4 , e ) 1 / 2
Output: c
Problem: a row of ants comprised of 102 ants . a man walked upon it and all except 42 were crushed beneath his foot . how many ants are left alive ? 
Options: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Output: b
Problem: the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 15 . what is the last numbers ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 5 , e ) 7
Output: c
Problem: if integer k is equal to the sum of all even multiples of 25 between 200 and 600 , what is the greatest prime factor of k ? 
Options: a ) 5 , b ) 7 , c ) 11 , d ) 13 , e ) 17
Output: d
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
Output: e
Problem: if x = 4 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? 
Options: a ) − 100 , b ) 0.015 , c ) 0.25 , d ) 4 , e ) 8
Output: b
Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1051 . find the cost of each ice - cream cup ? 
Options: a ) 25 , b ) 40 , c ) 77 , d ) 99 , e ) 91
Output: b
Problem: a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent should the number of hours worked be increased ? 
Options: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %
Output: c
Problem: ( 51 + 52 + 53 + … … … + 100 ) is equal to : 
Options: a ) 2525 , b ) 2975 , c ) 3225 , d ) 3775 , e ) 3885
Output: d
Problem: in a group of ducks and cows , the total number of legs are 40 more than twice the number of heads . find the total number of cows . 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: e
Problem: ( 0.0048 ) ( 3.5 ) / ( 0.05 ) ( 0.1 ) ( 0.004 ) = 
Options: a ) 8.4 , b ) 840 , c ) 84.0 , d ) 0.84 , e ) 0.084
Output: b
Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 205 ? 
Options: a ) 1,108 , b ) 2,100 , c ) 2,140 , d ) 2,124 , e ) 2,256
Output: c
Problem: find the value of ( 70 + 28 / 100 ) × 100 
Options: a ) 7028 , b ) 4028 , c ) 3128 , d ) 3256 , e ) 5264
Output: a
Problem: for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? 
Options: a ) 12 % , b ) 26 % , c ) 29 % , d ) 30 % , e ) 60 %
Output: b
Problem: if a and b are the roots of the equation x 2 - 9 x + 20 = 0 , find the value of a 2 + b 2 + ab ? 
Options: a ) 57 , b ) 59 , c ) 61 , d ) 63 , e ) 65
Output: c
Problem: a cricket player whose bowling average was 22.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ? 
Options: a ) 64 , b ) 72 , c ) 121 , d ) 984 , e ) 108
Output: c
Problem: find the smallest number of 6 digits which is exactly divisible by 111 
Options: a ) 100011 , b ) 111111 , c ) 101111 , d ) 1011111 , e ) 211111
Output: a
Problem: what is the remainder when 1201 × 1202 × 1203 × 1207 is divided by 6 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: a
Problem: 1 , 6 , 16 , 31 , 51 , ( . . . . ) 
Options: a ) 61 , b ) 66 , c ) 76 , d ) 86 , e ) 83
Output: b
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
Output: b
Problem: the average of first six multiples of 4 is : 
Options: a ) 14 , b ) 9 , c ) 12 , d ) 15 , e ) 17
Output: a
Problem: solve the equation for x : 8 x - 40 + 2 x = 5 + 10 - x 
Options: a ) 4 , b ) 10 , c ) 7 , d ) 5 , e ) 3
Output: d
Problem: if the price of a certain bond on may 1 st was 2 / 3 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? 
Options: a ) 50 % , b ) 75 % , c ) 120 % , d ) 133 1 / 3 % , e ) 150 %
Output: d
Problem: what least no . must be subtracted from 5026 so that remaining no . is divisible by 5 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 1
Output: e
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
Output: c
Problem: laura took out a charge account at the general store and agreed to pay 9 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? 
Options: a ) $ 2.10 , b ) $ 37.10 , c ) $ 37.16 , d ) $ 38.10 , e ) $ 38.15
Output: e
Problem: find the smallest number in gp whose sum is 38 and product is 1728 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: d
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
Output: c
Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 8 per item . if the manufacturer ’ s selling price per item is $ 12 , how many items the manufacturer produce and sell to earn an annual profit of $ 140,000 ? 
Options: a ) 2,858 , b ) 8,667 , c ) 21,429 , d ) 35,000 , e ) 67,500
Output: e
Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 135 . what is that number ? 
Options: a ) 12 , b ) 29 , c ) 20 , d ) 15 , e ) 99
Output: c
Problem: there are 14 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 ) 91 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Output: a
Problem: in a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man . what is weight of new comer ? 
Options: a ) 70 , b ) 66 , c ) 68 , d ) 69 , e ) 72
Output: c
Problem: if x + y = 20 , x - y = 36 , for integers of x and y , x = ? 
Options: a ) 20 , b ) 25 , c ) 28 , d ) 20 , e ) 42
Output: c
Problem: the average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor . the weight of the new sailor is ? 
Options: a ) 57 kg , b ) 60 kg , c ) 64 kg , d ) 62 kg , e ) 66 kg
Output: c
Problem: arjun started a business with rs . 10,000 and is joined afterwards by anoop with rs . 40 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 9
Output: e
Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 90 , what is the value of c â ˆ ’ a ? 
Options: a ) 25 , b ) 90 , c ) 100 , d ) 140 , e ) it can not be determined from the information given
Output: b
Problem: if the price of petrol increases by 44 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ? 
Options: a ) 25 % , b ) 20 % , c ) 16.67 % , d ) 33.33 % , e ) none of these
Output: e
Problem: 20.20 / 2000 is equal to : 
Options: a ) 1.01252677 , b ) 0.013466667 , c ) 0.125266677 , d ) 0.126256677 , e ) 0.12725776
Output: b
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
Output: e
Problem: 2 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? 
Options: a ) 0.004 , b ) 0.05555 , c ) 2.775 , d ) 3.6036 , e ) 36.036
Output: b
Problem: how many three digit numbers n are divisible by 78 or 91 ? 
Options: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Output: b
Problem: # p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = 12 ? 
Options: a ) – 16 , b ) – 44 , c ) 10 , d ) 16 , e ) 18
Output: a
Problem: the average of 6 no . ' s is 4.60 . the average of 2 of them is 3.4 , while the average of the other 2 is 3.8 . what is the average of the remaining 2 no ' s ? 
Options: a ) 2.3 , b ) 6.6 , c ) 3.6 , d ) 4.5 , e ) 4.6
Output: b
Problem: count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6 ? 
Options: a ) one , b ) three , c ) two , d ) five , e ) four
Output: e
Problem: an ant walks an average of 600 meters in 12 minutes . a beetle walks 15 % less distance at the same time on the average . assuming the beetle walks at her regular rate , what is its speed in km / h ? 
Options: a ) 2.215 . , b ) 2.55 , c ) 2.775 . , d ) 3.2 . , e ) 3.5 .
Output: b
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
Output: a
Problem: find large number from below question the difference of two numbers is 1375 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1234 , b ) 1265 , c ) 1350 , d ) 1467 , e ) 1647
Output: e
Problem: the average of 25 results is 24 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ? 
Options: a ) 740 , b ) 228 , c ) 690 , d ) 780 , e ) 458
Output: b
Problem: set a of 8 positive integers may have the same element and have 40 . and set b of 8 positive integers must have different elements and have 40 . when m and n are the greatest possible differences between 40 and other elements ’ sums in set a and set b , respectively , m - n = ? 
Options: a ) 21 , b ) 29 , c ) 23 , d ) 25 , e ) 26
Output: a
Problem: the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 20 terms of the arithmetic progression ? 
Options: a ) 300 , b ) 120 , c ) 150 , d ) 170 , e ) 200
Output: e
Problem: two trains of equal are running on parallel lines in the same direction at 45 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? 
Options: a ) 45 , b ) 88 , c ) 66 , d ) 55 , e ) 22
Output: a
Problem: the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 21 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ? 
Options: a ) 347.8 , b ) 987.8 , c ) 877.8 , d ) 898.8 , e ) 667.4
Output: d
Problem: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of r ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: a
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
Output: a
Problem: if a ( a + 5 ) = 36 and b ( b + 5 ) = 36 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 5 , c ) 2 , d ) 46 , e ) 48
Output: b
Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost q is what percent of the original cost ? 
Options: a ) q = 200 , b ) q = 600 , c ) q = 800 , d ) q = 1600 , e ) q = 50
Output: d
Problem: the average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student . the weight of the student is 
Options: a ) 62 kg , b ) 60 kg , c ) 70 kg , d ) 72 kg , e ) none of these
Output: b
Problem: in the x - y plane , point ( x , y ) is a lattice point if both x and y are integers . a square has a center at ( 0 , 0 ) and side = 4 . some points , such as the center ( 0 , 0 ) , are inside the square , but a point such as ( 0 , 2 ) is on the square but not in the square . how many lattice points are in the square ? 
Options: a ) 10 , b ) 9 , c ) 8 , d ) 5 , e ) 12
Output: b
Problem: mixture a is 15 percent alcohol , and mixture b is 50 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 30 percent alcohol , approximately how many gallons of mixture a are in the mixture ? 
Options: a ) 1.5 , b ) 1.7 , c ) 2.3 , d ) 2.5 , e ) 3.0
Output: c
Problem: what is the sum of all the prime numbers greater than 50 but less than 70 ? 
Options: a ) 249 , b ) 248 , c ) 246 , d ) 240 , e ) 241
Output: d
Problem: in δ pqs above , if pq = 7 and ps = 8 , then 
Options: a ) 9 / 4 , b ) 12 / 5 , c ) 56 / 9 , d ) 15 / 4 , e ) 20 / 3
Output: c
Problem: tickets numbered from 1 to 21 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ? 
Options: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 10 , d ) 3 / 7 , e ) 1 / 7
Output: a
Problem: a 80 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? 
Options: a ) 20 , b ) 12 , c ) 13 , d ) 14 , e ) 16
Output: a
Problem: the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is ? 
Options: a ) 35 yr , b ) 25 yr , c ) 20 yr , d ) 30 yr , e ) 40 yr
Output: a
Problem: of the four - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? 
Options: a ) 6048 , b ) 3648 , c ) 7248 , d ) 1448 , e ) 2168
Output: a
Problem: there are 660 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? 
Options: a ) 75 , b ) 110 , c ) 125 , d ) 175 , e ) 225
Output: b
Problem: if 12 machine can finish a job in 40 days , then how many more machines would be needed to finish the job in one - fourth less time ? 
Options: a ) a . 4 , b ) b . 8 , c ) c . 10 , d ) d . 12 , e ) e . 16
Output: a
Problem: in the land of oz only one or two - letter words are used . the local language has 67 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ? 
Options: a ) 65 , b ) 66 , c ) 67 , d ) 131 , e ) 134
Output: e
Problem: the sum of two numbers is 40 and their difference is 4 . the ratio of the numbers is 
Options: a ) 11 : 9 , b ) 11 : 18 , c ) 21 : 19 , d ) 21 : 19 , e ) none
Output: a
Problem: in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ? 
Options: a ) 240000 , b ) 300000 , c ) 168000 , d ) 36000 , e ) 24,000
Output: d
Problem: ajay and vijay have some marbles with them . ajay told vijay ` ` if you give me ' x ' marbles , both of us will have equal number of marbles ' ' . vijay then told ajay ` ` if you give me twice as many marbles , i will have 30 more marbles than you would ' ' . find ' x ' ? 
Options: a ) 7 , b ) 5 , c ) 6 , d ) 4 , e ) 3
Output: b
Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 20 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? 
Options: a ) 8.6 , b ) 9.8 , c ) 10.4 , d ) 11.2 , e ) 12.6
Output: c
Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.15 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? 
Options: a ) $ 1.75 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Output: a
Problem: aram ’ s car was fined when he gave joe and peter a ride , so they decided to help aram pay the fine . joe paid $ 3 more than 1 / 4 of the fine and peter paid $ 3 less than 1 / 3 of the fine , leaving pay $ 4 less than 1 / 2 the fine to complete the payment . what fraction of the fine did aram pay ? 
Options: a ) $ 13 , b ) $ 15 , c ) $ 20 , d ) $ 28 , e ) $ 48
Output: c
Problem: in a zoo there are 30 penguins , 22 zebras , and 8 tigers with some zookeepers . if the total number of heads are 132 less than the number of feet , the number of zookeepers is 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 22
Output: a
Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 6514 , how much was it in the beginning ? 
Options: a ) 8545 , b ) 8770 , c ) 8515 , d ) 7999 , e ) 7989
Output: c
Problem: average monthly income of a family of 4 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 590 . the income of the deceased was ? 
Options: a ) rs . 692.80 , b ) rs . 820 , c ) rs . 1170 , d ) rs . 1385 , e ) none
Output: c
Problem: if there are 20 apples and the apples have to be shared equally among 3 babies . what number of apples are to be added ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: a
Problem: x is a positive integer less than 500 . 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
Output: d
Problem: a basketball player practices 2 hours a day monday through friday . how many hours must he practice saturday and sunday combined if he wants to practice an average ( arithmetic mean ) of 3 hours a day for the 7 day week ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: d
Problem: if the operation € is defined for all x and y by the equation x € y = 3 * x * y , then 3 € ( 4 € 5 ) = 
Options: a ) 80 , b ) 120 , c ) 160 , d ) 540 , e ) 660
Output: d
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
Output: e
Problem: at the end of year x , automobile installment credit accounted for 35 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 40 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? 
Options: a ) 120 , b ) 300 , c ) 401.36 , d ) 350.15 , e ) 342.86
Output: e
Problem: what least number must be subtracted from 652543 so that remaining no . is divisible by 12 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 8 , e ) 9
Output: c
Problem: 4,18 , 100,294 , ___ 
Options: a ) 1000 , b ) 1100 , c ) 1210 , d ) 1452 , e ) 1552
Output: c
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
Output: a
Problem: a certain elevator has a safe weight limit of 2,500 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
Output: e
Problem: how many multiples of 3 are there between 5 and 59 , 5 and 59 inclusive ? 
Options: a ) 16 , b ) 22 , c ) 18 , d ) 11 , e ) 9
Output: c
Problem: the sum of number of boys and girls in a school is 900 . if the number of boys is x , then the number of girls becomes x % of the total number of students . the number of boys is ? 
Options: a ) 50 , b ) 40 , c ) 60 , d ) 90 , e ) 70
Output: d
Problem: eighteen years ago , a father was 3 times as old as his son . now the father is only twice as old as his son . then the sum of the present ages of the son and the father is : 
Options: a ) 120 , b ) 76 , c ) 108 , d ) 105 , e ) 86
Output: c
Problem: find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 9 x + 3 = 0 ? 
Options: a ) 28.3 , b ) 1.45 , c ) 2.78 , d ) 6.84 , e ) 7.23
Output: a
Problem: paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? 
Options: a ) 11 / 12 , b ) 13 / 17 , c ) 13 / 19 , d ) 12 / 19 , e ) 11 / 19
Output: a
Problem: find the value of 85 p 3 . 
Options: a ) 565350 , b ) 595650 , c ) 535950 , d ) 565350 , e ) 575350
Output: b
Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 12500 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . 
Options: a ) 5113 , b ) 5117 , c ) 5120 , d ) 8119 , e ) 10115
Output: c
Problem: the average ( arithmetic mean ) of the integers from 25 to 225 , inclusive , is how much lower than the average of the integers from 50 to 1050 inclusive ? 
Options: a ) 450 , b ) 375 , c ) 500 , d ) 425 , e ) 400
Output: d
Problem: how many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Output: a
Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 70 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %
Output: b
Problem: find a sum for 1 st 5 prime no . ' s ? 
Options: a ) 23 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Output: b
Problem: in a fort , there are 1200 soldiers . if each soldier consumes 3 kg per day , the provisions available in the fort will last for 30 days . if some more soldiers join , the provisions available will last for 25 days given each soldier consumes 2.5 kg per day . find the number of soldiers joining the fort in that case . 
Options: a ) 627 , b ) 528 soldiers , c ) 626 , d ) 657 , e ) 673
Output: b