niryuu/sni-each-converted huggingface dataset:
Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? 
Options: a ) 16 / 625 , b ) 56 / 625 , c ) 96 / 625 , d ) 126 / 625 , e ) 156 / 625
Output: c
Problem: each of the 59 members in lourdes school class is required to sign up for a minimum of one and a maximum of 3 academic clubs . the 3 clubs to choose from are the poetry club , the history club , and the writing club . a total of 22 students sign up for the poetry club , 27 students for the history club , and 28 students for the writing club . if 6 students sign up for exactly two clubs , how many students sign up for all 3 clubs ? 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Output: c
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
Output: d
Problem: in an apartment building that has 490 units , 4 out of every 7 units are currently rented , including 1 / 3 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ? 
Options: a ) 50 , b ) 70 , c ) 100 , d ) 130 , e ) 140
Output: d
Problem: 1 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? 
Options: a ) 0.004 , b ) 0.02775 , c ) 2.775 , d ) 3.6036 , e ) 36.036
Output: b
Problem: what is the least value of x , so that 2 x 4472 is divisible by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 2
Output: b
Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses t at the restaurant ? ( assume that all boxes are filled to capacity . ) 
Options: a ) 96 , b ) 240 , c ) t = 256 , d ) t = 384 , e ) t = 480
Output: e
Problem: y = x ^ 2 + bx + 512 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ? 
Options: a ) - 512 , b ) - 257 , c ) - 256 , d ) - 513 , e ) 128
Output: d
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 60 , what is the greatest possible value of q minus r ? 
Options: a ) 52 , b ) 54 , c ) 55 , d ) 56 , e ) 58
Output: b
Problem: in an office , totally there are 6400 employees and 65 % of the total employees are males . 25 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? 
Options: a ) 1040 , b ) 2080 , c ) 3120 , d ) 4160 , e ) none of these
Output: c
Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 3 ? 
Options: a ) 0.0016 , b ) 0.0625 , c ) 0.16 , d ) 0.25 , e ) 0.0156
Output: e
Problem: sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ? 
Options: a ) 57 , b ) 177 , c ) 178 , d ) 377 , e ) 200
Output: e
Problem: a man owns 1 / 3 of market reserch beauro buzness , and sells 3 / 5 of his shares for 15000 rs , what is the value of buzness ? 
Options: a ) 55000 , b ) 75000 , c ) 65000 , d ) 190000 , e ) 250000
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 1250 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 ) 513 , b ) 512 , c ) 517 , d ) 519 , e ) 521
Output: b
Problem: find the value of ( 875 233 / 899 ) × 899 
Options: a ) 786845 , b ) 786857 , c ) 786858 , d ) 786859 , e ) 786860
Output: c
Problem: a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 155 . find the unknown rate of two towels ? 
Options: a ) a ) 400 , b ) b ) 450 , c ) c ) 500 , d ) d ) 550 , e ) e ) 600
Output: c
Problem: 3 machines operating independently , simultaneously , and at the same constant rate can fill a certain production order in 44 hours . if one additional machine were used under the same operating conditions , in how manyfewerhours of simultaneous operation could the production order be fulfilled ? 
Options: a ) 6 , b ) 9 , c ) 12 , d ) 11 , e ) 48
Output: d
Problem: during 2003 , a company produced an average of 2000 products per month . how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average ? 
Options: a ) 287,000 , b ) 290,000 , c ) 284,000 , d ) 285,000 , e ) 286,000
Output: c
Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 1,455 , what was the total number of pairs of contact lenses that she sold ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19
Output: a
Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 140000 , find the cost of a camel ? 
Options: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 6800 , e ) s . 5600
Output: e
Problem: of 70 players on a cricket team , 37 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? 
Options: a ) 54 , b ) 55 , c ) 59 , d ) 71 , e ) 92
Output: c
Problem: what is the least value of x , so that 2 x 5478 is divisible by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 1 , e ) 2
Output: d
Problem: n 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b the present age of b is 
Options: a ) 22 , b ) 897 , c ) 268 , d ) 20 , e ) 48
Output: e
Problem: a certain psychologist charges $ 30 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 400 , what is the total charge to a patient who receives only 3 hours of therapy ? 
Options: a ) $ 120 , b ) $ 135 , c ) $ 150 , d ) $ 165 , e ) $ 252
Output: e
Problem: for what values of k will the pair of equations 3 x + 4 y = 12 and ( kx + 12 y ) / 2 = 15 does not have a unique solution ? 
Options: a ) 12 , b ) 9 , c ) 3 , d ) 7.5 , e ) 2.5
Output: b
Problem: when a number is divided by 6 & then multiply by 12 the answer is 18 what is the no . ? 
Options: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 5.7 , e ) 9
Output: e
Problem: reeya obtained 55 , 67 , 76 , 82 and 55 out of 100 in different subjects , what will be the average 
Options: a ) 70 , b ) 75 , c ) 67 , d ) 85 , e ) 90
Output: c
Problem: a group of 7 teenagers recently visited the japanese restaurant . the total bill for the meal , including 20 % gratuity , came to $ 840 . on average , how much did the meal of each individual cost before gratuity ? 
Options: a ) $ 160 , b ) $ 96 , c ) $ 90 , d ) $ 10 , e ) $ 55
Output: d
Problem: a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 2 years ago ? 
Options: a ) 8 , b ) 12 , c ) 12 , d ) 14 , e ) 16
Output: b
Problem: a number is doubled and 15 is added . if resultant is trebled , it becomes 75 . what is that number 
Options: a ) 8 , b ) 10 , c ) 5 , d ) 14 , e ) 7
Output: c
Problem: if integer k is equal to the sum of all even multiples of 15 between 390 and 615 , what is the greatest prime factor of k ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 13 , e ) 17
Output: c
Problem: 5358 x 51 = ? 
Options: a ) 272258 , b ) 272358 , c ) 273258 , d ) 274258 , e ) 274358
Output: c
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 300 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? 
Options: a ) 1,108 , b ) 2,500 , c ) 2,108 , d ) 2,124 , e ) 2,256
Output: b
Problem: a merchant has selected two items to be placed on sale , one of which currently sells for 25 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ? 
Options: a ) 52 % , b ) 40 % , c ) 30 % , d ) 20 % , e ) 10 %
Output: c
Problem: a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? 
Options: a ) 39.52 $ , b ) 40.63 $ , c ) 41.63 $ , d ) 42.15 $ , e ) 41.15 $
Output: a
Problem: the difference between a two - digit number and the number obtained by interchanging the two digits is 63 . which is the smaller of the two numbers ? 
Options: a ) 29 , b ) 70 , c ) 92 , d ) can not be determined , e ) none of these
Output: d
Problem: ( 0.15 ) ( power 3 ) - ( 0.06 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.009 + ( 0.06 ) ( power 2 ) is : 
Options: a ) 0.09 , b ) 0.08 , c ) 0.1 , d ) 0.07 , e ) none of them
Output: a
Problem: on dividing 13698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? 
Options: a ) 743 , b ) 154 , c ) 852 , d ) 741 , e ) 785
Output: b
Problem: in a group of 160 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? 
Options: a ) 0.44 , b ) 0.55 , c ) 0.65 , d ) 0.75 , e ) 0.85
Output: a
Problem: the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above condition is 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: a
Problem: nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 5 screws and 1 nails ? 
Options: a ) a . 4 , b ) b . 5 / 2 , c ) c . 2 , d ) d . 3 / 2 , e ) e . 5 / 4
Output: d
Problem: on dividing a number by 48 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: d
Problem: in the above number , a and b represent the tens and units digits , respectively . if the above number is divisible by 45 , what is the greatest possible value of b x a ? 
Options: a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Output: e
Problem: the average of 15 numbers is 75 . average of the first 8 of them is 68 and that of the last 8.00001 is 77 . find the 8.000001 th number ? 
Options: a ) 51 , b ) 87 , c ) 35 , d ) 75 , e ) 68
Output: c
Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 6 ) , what is the value of w ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24
Output: c
Problem: sandy bought 65 books for $ 1080 from one shop and 55 books for $ 840 from another shop . what is the average price that sandy paid per book ? 
Options: a ) $ 14 , b ) $ 16 , c ) $ 18 , d ) $ 20 , e ) $ 22
Output: b
Problem: there are 720 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? 
Options: a ) 75 , b ) 100 , c ) 120 , d ) 175 , e ) 225
Output: c
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
Output: c
Problem: solve below question 2 x - 1 = 17 
Options: a ) - 8 , b ) - 9 , c ) - 5 , d ) - 4 , e ) 9
Output: e
Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 150 , what were her original savings ? 
Options: a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 900
Output: b
Problem: the average of 20 number is zero of them at the most , how many may be greater than zero ? 
Options: a ) 0 , b ) 1 , c ) 10 , d ) 19 , e ) 20
Output: d
Problem: the product z of two prime numbers is between 16 and 40 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is z ? 
Options: a ) 21 , b ) 22 , c ) 28 , d ) 35 , e ) 39
Output: e
Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 2952400 , how many months will it take joan to pay back her mortgage ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 13
Output: c
Problem: in a recent election , james received 0.5 percent of the 2000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 901 , b ) 989 , c ) 990 , d ) 991 , e ) 1,001
Output: d
Problem: 75 % of 480 = ( ? ) x 15 ? 
Options: a ) 32 , b ) 18 , c ) 360 , d ) none of these , e ) can not be determined
Output: d
Problem: if 4 x + 3 y = 8 and y − 3 x = 2 , then what is the value of x + 4 y ? 
Options: a ) 10 , b ) 3 , c ) 15 , d ) 52 / 7 , e ) 60 / 7
Output: a
Problem: for each color copy , print shop x charges $ 1.25 and print shop y charges $ 2.75 . how much greater is the charge for 60 color copies at print shop y than at print shop x ? 
Options: a ) $ 80 , b ) $ 90 , c ) $ 100 , d ) $ 110 , e ) $ 120
Output: b
Problem: the sum of present age of abe and the age before 7 years is 37 . find the present age of abe . what will be his age after 7 years ? 
Options: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29
Output: e
Problem: what is the 23 th digit to the right of the decimal point in the decimal form of 36 / 66 ? 
Options: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) 6
Output: b
Problem: the average score of a cricketer for 12 matches is 48 runs . if the average for first 8 matches is 40 , then average for last 4 matches is 
Options: a ) 33.25 , b ) 89 , c ) 64 , d ) 68 , e ) 90
Output: c
Problem: 550 − ( 104 ÷ 20.8 ) = ? 
Options: a ) 545 , b ) 525 , c ) 535 , d ) 625 , e ) 105
Output: a
Problem: what is the tens digit of 6 ^ 20 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Output: d
Problem: what is the greatest 6 - digit number when divided by 8 , 9 , and 10 leaves a remainder of 6 , 7 , and 8 respectively ? 
Options: a ) 456780 , b ) 678918 , c ) 997479 , d ) 997916 , e ) 997920
Output: b
Problem: if x / ( 12 p ) is an odd prime number , where x is a positive integer and p is a prime number , what is the least value of x ? 
Options: a ) 22 , b ) 33 , c ) 44 , d ) 66 , e ) 72
Output: e
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
Output: a
Problem: what is theleast number should be added to 1056 , so the sum of the number is completely divisible by 23 ? 
Options: a ) 20 , b ) 23 , c ) 25 , d ) 27 , e ) 28
Output: b
Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 140 , how many coins of each type are there ? 
Options: a ) 20 coins , b ) 30 coins , c ) 40 coins , d ) 80 coins , e ) none of these
Output: d
Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 45 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ? 
Options: a ) 22 % , b ) 24 % , c ) 25 % , d ) 29 % , e ) 28 %
Output: d
Problem: weights of two friends ram and shyam are in the ratio of 4 : 5 . ram ’ s weight increases by 10 % and the total weight of ram and shyam together becomes 82.8 kg , with an increase of 15 % . by what per cent did the weight of shyam increase ? 
Options: a ) 12.5 % , b ) 17.5 % , c ) 19 % , d ) 21 % , e ) none of these
Output: c
Problem: what is the least number that should be added to 1054 , so the sum of the number is divisible by 23 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: d
Problem: the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 45 . what is the difference between the two digits of that number ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Output: b
Problem: the average of marks obtained by 120 boys was 35 . if the average of marks of passed boys was 39 and that of failed boys was 15 , the number of boys who passed the examination is ? 
Options: a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) 140
Output: a
Problem: the average ( arithmetic mean ) of 4 positive integers is 45 . if the average of 2 of these integers is 45 , what is the greatest possible value that one of the other 2 integers can have ? 
Options: a ) 55 , b ) 65 , c ) 100 , d ) 89 , e ) 115
Output: d
Problem: a certain city with a population of 72,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? 
Options: a ) a ) 6,000 , b ) b ) 10,800 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 11,100
Output: a
Problem: find two numbers whose sum is 26 and whose product is 165 . 
Options: a ) 11 and 12 , b ) 11 and 13 , c ) 11 and 15 , d ) 11 and 16 , e ) 11 and 19
Output: c
Problem: which is greater than 16 
Options: a ) 1.6 , b ) 66 , c ) 6 , d ) - 6 , e ) 6.1
Output: b
Problem: a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ? 
Options: a ) 50 , b ) 60 , c ) 90 , d ) 48 , e ) 67
Output: c
Problem: a man whose bowling average is 12.4 , takes 6 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 ) 113 , b ) 114 , c ) 115 , d ) 116 , e ) 117
Output: c
Problem: if log 2 x - 5 log x + 6 = 0 , then what would the value / values of x be ? 
Options: a ) 5.3296 , b ) 6.3296 , c ) 7.3296 , d ) 8.3296 , e ) 9.3296
Output: a
Problem: when a = x + ( 3 / x ) and b = x - ( 3 / x ) , ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) = ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 4096
Output: e
Problem: 6 x 0.6 x 0.06 x 0.006 x 60 = ? 
Options: a ) 77.76 , b ) 7.776 , c ) 0.7776 , d ) 0.07776 , e ) none otf these
Output: d
Problem: a third of arun â € ™ s marks in mathematics exceed a half of his marks in english by 20 . if he got 360 marks in two subjects together how many marks did he got in english ? 
Options: a ) 120,60 , b ) 240,120 , c ) 280,90 , d ) 220,140 , e ) none of them
Output: b
Problem: if the average ( arithmetic mean ) of 7 consecutive integers is 20 , then the product of the greatest and least integer is 
Options: a ) 343 , b ) 393 , c ) 363 , d ) 391 , e ) 409
Output: d
Problem: excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 20 km / hr . for how many minutes does the bus stop per hour ? 
Options: a ) 22 , b ) 88 , c ) 77 , d ) 40 , e ) 99
Output: d
Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ? 
Options: a ) - 0.71 , b ) - 2.13 , c ) 1.07 , d ) 1.71 , e ) 2.71
Output: b
Problem: the maximum numbers of students among them 891 pens and 810 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is 
Options: a ) 91 , b ) 81 , c ) 1001 , d ) 1911 , e ) none
Output: b
Problem: rakesh ' s mathematics test had 75 problems , 10 arithmetic , 30 algebra , 35 geometry problems . although he answered 70 % of arithmetic , 40 % of arithmetic and 60 % of geometry problems correctly , still he got less than 60 % problems right . how many more questions he would have to answer more to get passed ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: a
Problem: find the remainder when 6 ^ 23 is divided by 5 ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4
Output: c
Problem: a batsman scored 125 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 45 % , b ) 500 / 11 , c ) 600 / 11 , d ) 55 % , e ) 60 %
Output: e
Problem: what least number must be subtracted from 427751 so that remaining no . is divisible by 10 
Options: a ) 3 , b ) 1 , c ) 6 , d ) 8 , e ) 9
Output: b
Problem: what is the last digit in ( 7 ^ 95 - 3 ^ 58 ) ? 
Options: a ) 5 , b ) 6 , c ) 4 , d ) 9 , e ) 5.5
Output: c
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
Output: d
Problem: how many 3 - digit numbers are divisible by 6 in all ? 
Options: a ) 149 , b ) 150 , c ) 151 , d ) 166 , e ) none
Output: b
Problem: if - 3 x + 2 y = 28 and 3 x + 6 y = 84 , what is the product of x and y ? 
Options: a ) 264 . , b ) 428 , c ) 0 , d ) 462 , e ) 642
Output: c
Problem: - 54 x 29 + 100 = ? 
Options: a ) - 1466 , b ) 2801 , c ) - 2801 , d ) - 2071 , e ) none of them
Output: a
Problem: find the remainder q when 12 ^ 190 is divided by 1729 ? 
Options: a ) 12 , b ) 1 , c ) 1728 , d ) 1717 , e ) 4
Output: d
Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 5 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? 
Options: a ) 20 % , b ) 17 % , c ) 4.0 % , d ) 3.3 % , e ) 2.8 %
Output: e
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 $ 80 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %
Output: a
Problem: the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 320 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ? 
Options: a ) 80 , b ) 90 , c ) 120 , d ) 150 , e ) 240
Output: a
Problem: let the number which when multiplied by 15 is increased by 196 . 
Options: a ) 14 , b ) 20 , c ) 26 , d ) 28 , e ) 30
Output: a
Problem: 25 , 50 , 100 , 175 , 275 , ( . . . . ) 
Options: a ) 400 , b ) 300 , c ) 425 , d ) 450 , e ) 325
Output: a
Problem: robert ate 7 chocolates , nickel ate 3 chocolates . how many more chocolates did robert ate than nickel ? 
Options: a ) 4 , b ) 7 , c ) 9 , d ) 5 , e ) 2
Output: a
Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 60 km / hr . however , he covers the distance from y to x at an average speed of 30 km / hr . his average speed during the whole journey in km / hr . is : 
Options: a ) 34 , b ) 43 , c ) 40 , d ) 38 , e ) 29
Output: c
Problem: rs . 2600 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? 
Options: a ) s . 1200 , b ) s . 1542 , c ) s . 1528 , d ) s . 1540 , e ) s . 1549
Output: a
Problem: the average ( arithmetic mean ) of the integers from 100 to 400 , inclusive , is how much greater than the average of the integers from 50 to 250 , inclusive ? 
Options: a ) 100 , b ) 175 , c ) 200 , d ) 125 , e ) 300
Output: a
Problem: p software has coding line 5 % more than n , n software has coding line 4 / 20 more than m . m software has 80 lines of coding . find p lines . 
Options: a ) 101 , b ) 107 , c ) 108 , d ) 109 , e ) 110
Output: a
Problem: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 120 . at the same place it would cost $ 158.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ? 
Options: a ) $ 21 , b ) $ 27 , c ) $ 31 , d ) $ 43 , e ) it can not be determined
Output: d
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
Output: c
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
Output: c
Problem: find the sum of all odd numbers up to 100 . 
Options: a ) 2500 , b ) 2400 , c ) 2300 , d ) 2200 , e ) 2100
Output: a
Problem: if the price of a certain computer increased 30 percent from b dollars to 351 dollars , then 2 b = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700
Output: a
Problem: a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability r that a + b is prime ? 
Options: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9
Output: c
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
Output: b
Problem: a rainstorm increased the amount of water stored in state j reservoirs from 125 billion gallons to 150 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? 
Options: a ) 9 , b ) 14 , c ) 25 , d ) 30 , e ) 44
Output: e
Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ? 
Options: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42
Output: c
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 y of races we need to conduct to get the top 3 fastest horses ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11
Output: b
Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 69 , what is the value of a ? 
Options: a ) 26 , b ) 30 , c ) 28 , d ) 36 , e ) 42
Output: a
Problem: the sum of two numbers is 29 and the difference of their squares is 145 . the difference between the number is 
Options: a ) 13 , b ) 5 , c ) 8 , d ) 11 , e ) 12
Output: b
Problem: how much water must be added to 56 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? 
Options: a ) 10 litres , b ) 12 litres , c ) 14 litres , d ) 18 litres , e ) none of these
Output: c
Problem: a man has 1044 candles . after burning , he can make a new candle from 9 stubs left behind . find the maximum number of candles that can be made . 
Options: a ) 116 , b ) 120 , c ) 130 , d ) 140 , e ) none
Output: c
Problem: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 5 ] * [ 8 ] equivalent to ? 
Options: a ) [ 40 ] , b ) [ 60 ] , c ) [ 80 ] , d ) [ 120 ] , e ) [ 150 ]
Output: d
Problem: p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is r ' s share ? 
Options: a ) 108 , b ) 120 , c ) 134 , d ) 144 , e ) none of these
Output: a
Problem: the sum of all two digit numbers divisible by 8 is 
Options: a ) 910 , b ) 510 , c ) 611 , d ) 616 , e ) 810
Output: d
Problem: ratio of two numbers x and y is 7 : 9 . if x is increased by 20 % and y is increased by 33 then the new ratio becomes 1 : 5 . what is the ratio 2 y : ( x + 4 ) 
Options: a ) 18 : 11 , b ) 8 : 1 , c ) 11 : 18 , d ) 1 : 8 , e ) 1 : 1
Output: a
Problem: of the families in city x in 1994 , 35 percent owned a personal computer . the number of families in city x owning a computer in 1998 was 20 percent greater than it was in 1994 , and the total number of families in city x was 4 percent greater in 1998 than it was in 1994 . what percent of the families in city x owned a personal computer in 1998 ? 
Options: a ) 50.12 % , b ) 40.52 % , c ) 40.56 % , d ) 40.38 % , e ) 40.14 %
Output: d
Problem: two digits in father ' s age are the same as the digit in the son ' s age , but in reverse order . in 5 years father will be twice as old as son will be then . what is the difference in their current age ? 
Options: a ) 18 , b ) 16 , c ) 34 , d ) 25 , e ) 12
Output: a
Problem: if ( 10 x + 2 ) / 4 - ( 3 x - 6 ) / 18 = ( 2 x + 4 ) / 3 , then what is the value of x ? 
Options: a ) 3 , b ) - 3 , c ) 10 / 3 , d ) 3 / 10 , e ) - 10 / 3
Output: d
Problem: 826924 × 9999 = ? 
Options: a ) 8248402936 , b ) 8268413076 , c ) 8268413071 , d ) 8064329671 , e ) 8244563371
Output: b
Problem: of 70 players on a football team , 52 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? 
Options: a ) 54 , b ) 59 , c ) 63 , d ) 64 , e ) 92
Output: d
Problem: the product of x and y is a constant . if the value of x is increased by 50 % , by what percentage must the value of y be decreased ? 
Options: a ) 50 % , b ) 40 % , c ) 33 1 ⁄ 3 % , d ) 25 % , e ) 12 1 ⁄ 2 %
Output: c
Problem: express the ratio 3 2 / 3 : 7 1 / 3 in its simplest form . 
Options: a ) 1 : 21 , b ) 1 : 1 , c ) 2 : 1 , d ) 1 : 2 , e ) 2 : 11
Output: d
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
Output: d
Problem: 15 people went to a hotel for combine dinner party 10 of them spent rs . 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15 . what was the total money spent by them . 
Options: a ) 1628.4 , b ) 1534 , c ) 780 , d ) 1496 , e ) none of these
Output: c
Problem: mr . smith calculated the average of 10 3 digit numbers . but due to a mistake he reversed the digits of a number and thus his average increased by 19.8 the difference between the unit digit and hundreds digit of that number is : 
Options: a ) 2 , b ) 6 , c ) 5 , d ) 3 , e ) 4
Output: a
Problem: a man purchased 3 blankets @ rs . 100 each , 2 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? 
Options: a ) 278 , b ) 900 , c ) 278 , d ) 450 , e ) 772
Output: b
Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 1 ? 
Options: a ) 6 , b ) 24 , c ) 30 , d ) 32 , e ) 48
Output: a
Problem: if x is a randomly chosen integer between 1 and 20 , inclusive , and y is a randomly chosen integer between 21 and 40 , inclusive , what is the probability that xy is a multiple of 4 ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 3 / 8 , d ) 7 / 16 , e ) ½
Output: e
Problem: x , a , z , and b are single digit positive integers . x = 1 / 5 a . z = 1 / 5 b . ( 10 a + b ) – ( 10 x + z ) could not equal 
Options: a ) 36 , b ) 33 , c ) 44 , d ) 64 , e ) 56
Output: b
Problem: a student chose a number , multiplied it by 2 , then subtracted 200 from the result and got 110 . what was the number he chose ? 
Options: a ) 168 , b ) 100 , c ) 155 , d ) 160 , e ) 200
Output: c
Problem: in a fuel station the service costs $ 1.50 per car , every liter of fuel costs 0.35 $ . assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty . how much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75 % bigger ? 
Options: a ) $ 78.80 , b ) $ 79.80 , c ) $ 78.90 , d ) $ 79.90 , e ) $ 77.80
Output: a
Problem: if the average ( arithmetic mean ) of a and b is 35 and the average of b and c is 80 , what is the value of c − a ? 
Options: a ) 25 , b ) 50 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .
Output: c
Problem: { 5 , 6 , 3 , 8 , 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values ? 
Options: a ) 5 , b ) 7 , c ) 15 , d ) 12 , e ) 13
Output: b
Problem: the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ? 
Options: a ) 35 , b ) 37 , c ) 46 , d ) 48 , e ) 50
Output: c
Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 775 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? 
Options: a ) 191 , b ) 194 , c ) 193 , d ) 212 , e ) 213
Output: b
Problem: if ( t - 8 ) is a factor of t ^ 2 - kt - 40 , then k = 
Options: a ) 16 , b ) 1 , c ) 2 , d ) 6 , e ) 14
Output: b
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 paul and 40 % of his income to quentin , quentin ' s new income would be what fraction of paul ' s new income ? 
Options: a ) 11 / 12 , b ) 13 / 17 , c ) 22 / 30 , d ) 12 / 19 , e ) 11 / 19
Output: c
Problem: fog + fog + fog + fog = 1464 . if f , o and g are digits in a 3 - digit number in the preceding equation the f + o + g = ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Output: e
Problem: if 1 / 3 of the passengers on a ship are from north america , 1 / 8 are europeans , 1 / 5 are from africa , 1 / 6 are from asia and the remaining 42 people are citizens of other continents , then how many passengers are on board the ship ? 
Options: a ) 240 , b ) 250 , c ) 280 , d ) 300 , e ) 320
Output: a
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 f of the mean , what percent of the distribution is less than m + f ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Output: d
Problem: the average weight of 8 person ' s increases by 4 kg when a new person comes in place of one of them weighing 55 kg . what might be the weight of the new person ? 
Options: a ) 80 kg , b ) 87 kg , c ) 90 kg , d ) 100 kg , e ) 110 kg
Output: b
Problem: if 4 ^ ( 2 x + 2 ) = 16 ^ ( 3 x − 1 ) , what is the value of x ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: b
Problem: java house charges $ 4.25 for a cup of coffee that costs a total of $ 3.85 to make . cup ' o ' joe charges $ 4.80 for a cup that costs $ 4.65 to make . if java house sells 55000 cups of coffee , how many must cup ' o ' joe sell to make at least as much in total gross profit as its competitor does ? 
Options: a ) 7,858 , b ) 8,301 , c ) 14,667 , d ) 63,840 , e ) 146,667
Output: e
Problem: plaudia can choose any two of 4 different candles and any 8 of 9 different flowers for a centerpiece arrangement . given these choices , how many candle + flower groupings can she select ? 
Options: a ) 54 , b ) 72 , c ) 96 , d ) 144 , e ) 432
Output: a
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 24 percent alcohol ? 
Options: a ) 7 / 2 , b ) 5 , c ) 20 / 3 , d ) 100 / 19 , e ) 39 / 4
Output: d
Problem: find the average of all the numbers between 11 and 34 which are divisible by 5 ? 
Options: a ) 10 , b ) 20 , c ) 22 , d ) 30 , e ) 15
Output: c
Problem: find the value of x in ( x + 1 ) / ( x + 3 ) = 5 
Options: a ) 2.5 , b ) - 2.5 , c ) 3.0 , d ) 3.5 , e ) - 3.5
Output: e
Problem: a rope of which a calf is tied is increased from 12 m to 25 m , how much additional grassy ground shall it graze ? 
Options: a ) 1400 , b ) 141.71 , c ) 1210 , d ) 1511.71 , e ) 1500
Output: d
Problem: a ( 5 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 2 . what is the value of w ? 
Options: a ) 3 . , b ) 4 . , c ) 5 . , d ) 6 . , e ) 9
Output: a
Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 225 and the slope of line segment ac is 4 / 3 , what is the length of ab ? 
Options: a ) 12 , b ) 180 , c ) 24 , d ) 28 , e ) 40
Output: b
Problem: a batsman makes a score of 66 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? 
Options: a ) 25 , b ) 31 , c ) 27 , d ) 29 , e ) 18
Output: e
Problem: a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ? 
Options: a ) 1 / 7 , b ) 1 / 6 , c ) 1 / 5 , d ) 1 / 4 , e ) 1 / 3
Output: a
Problem: if p represents the product of the first 16 positive integers , then p is not a multiple of 
Options: a ) 99 , b ) 84 , c ) 72 , d ) 65 , e ) 51
Output: e
Problem: the smallest number which when diminished by 7 , is divisible 12 , 16 , 18 , 21 and 28 is : 
Options: a ) 1008 , b ) 1015 , c ) 1022 , d ) 1032 , e ) none of these
Output: b
Problem: if | 5 x - 5 | = 150 , what is the sum of all the possible values of x ? 
Options: a ) 2 , b ) - 2 , c ) 6 , d ) - 3 , e ) 5
Output: a
Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent of his family ’ s total income ? 
Options: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %
Output: e
Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.1 kg . the weight of the new student is 
Options: a ) 22 kg , b ) 1 kg , c ) 22.4 kg , d ) 21 kg , e ) none of these
Output: b
Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 301 ? 
Options: a ) 10,100 , b ) 20,200 , c ) 22,650 , d ) 40,200 , e ) 45,150
Output: b
Problem: a small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? 
Options: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1750
Output: e
Problem: if a farmer sells 15 of his goats , his stock of feed will last for 4 more days than planned , but if he buys 20 more goats , he will run out of feed 3 days earlier than planned . if no goats are sold or bought , the farmer will be exactly on schedule . how many goats does the farmer have ? 
Options: a ) 12 , b ) 24 , c ) 48 , d ) 60 , e ) 55
Output: d
Problem: if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ? 
Options: a ) 567 , b ) 167 , c ) 267 , d ) 467 , e ) 667
Output: a
Problem: we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 12 , and the difference between the total number of strawberries and the total number of blueberries would increase by 76 . each blue box contains how many blueberries ? 
Options: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Output: d
Problem: if the average marks of 3 batches of 55 , 60 and 45 students respectively is 40 , 62 , 58 , then the average marks of all the students is 
Options: a ) 54.48 , b ) 53.31 , c ) 54.6 , d ) 54.58 , e ) none of these
Output: b
Problem: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ) . for all natural numbers ( integers > 0 ) m and n . what is the value of f ( 17 ) ? 
Options: a ) 4832 , b ) 4855 , c ) 4825 , d ) 4895 , e ) 4862
Output: a
Problem: a will was written such that an estate would be divided among 3 guys with the remainder donated to charity . one stipulation in the will is that no one from the guys can receive an amount within 30 % of another ' s amount . if one of the guys received $ 20000 , what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 3 guys ? 
Options: a ) $ 4096 , b ) $ 5904 , c ) $ 7892 , d ) $ 10052 , e ) $ 20736
Output: d
Problem: in a group of cows and hens , the number of legs are 10 more than twice the number of heads . the number of cows is : 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 10 , e ) 12
Output: a
Problem: a parking garage rents parking spaces for $ 10 per week or $ 42 per month . how much does a person save in a year by renting by the month rather than by the week ? 
Options: a ) $ 14 , b ) $ 16 , c ) $ 22 , d ) $ 24 , e ) $ 26
Output: b
Problem: a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: a
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
Output: d
Problem: in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 5 % . what is population of after 2 year . 
Options: a ) 140 , b ) 141 , c ) 142 , d ) 143 , e ) 146
Output: e
Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 39 , find the value of ab . 
Options: a ) 15 , b ) 8 , c ) 4 , d ) 10 , e ) 3
Output: a
Problem: in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 4 , − 4 ) ? 
Options: a ) 4 , b ) 2 , c ) 0 , d ) − 2 , e ) − 4
Output: a
Problem: if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex ? 
Options: a ) 1 / 3 , b ) 2 / 3 , c ) 1 / 4 , d ) 5 / 16 , e ) 3 / 5
Output: d
Problem: each week , harry is paid x dollars per hour for the first 21 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39
Output: a
Problem: a grocer has a sale of rs . 3435 , rs . 3927 , rs . 3855 , rs . 4230 and rs . 3562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 3500 ? 
Options: a ) s . 1991 , b ) s . 2991 , c ) s . 3991 , d ) s . 4991 , e ) s . 5991
Output: a
Problem: an italian sausage is 8 inches long . how many pieces of sausage can be cut from the 8 - inch piece of sausage if each piece is to be 2 / 3 of an inch ? 
Options: a ) 12 , b ) 32 , c ) 22 , d ) 15 , e ) 20
Output: a
Problem: the sum of all two digit numbers divisible by 4 is 
Options: a ) 1242 , b ) 1542 , c ) 1742 , d ) 1610 , e ) 1842
Output: a
Problem: √ ( 36 ) ^ 2 
Options: a ) 6 , b ) 14 , c ) 36 , d ) 21 , e ) none of these
Output: c
Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 26 , by how much does the temperature in degrees celsius ( c ) increase ? 
Options: a ) 9 , b ) 14.44 , c ) 47 , d ) 48 3 / 5 , e ) 59
Output: b
Problem: 145 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? 
Options: a ) 12 liters , b ) 32 liters , c ) 41 liters , d ) 50 liters , e ) 58 liters
Output: e
Problem: in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 3 ohms and y is 5 ohms ? 
Options: a ) 15 / 8 , b ) 3 / 8 , c ) 5 / 8 , d ) 7 / 15 , e ) 8 / 15
Output: a
Problem: if a - b = 5 and a 2 + b 2 = 31 , find the value of ab . 
Options: a ) 9 , b ) 2 , c ) 3 , d ) 7 , e ) 12
Output: c
Problem: two numbers a and b are such that the sum of 5 % of a and 3 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . 
Options: a ) 2 : 1 , b ) 1 : 2 , c ) 7 : 3 , d ) 1 : 1 , e ) 3 : 2
Output: c
Problem: if a 2 - b 2 = 8 and a * b = 2 , find a 4 + b 4 . 
Options: a ) 62 , b ) 72 , c ) 82 , d ) 92 , e ) 62
Output: b
Problem: last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 40 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? 
Options: a ) $ 781 , b ) $ 755 , c ) $ 765 , d ) $ 773 , e ) $ 775
Output: a
Problem: a pineapple costs rs 9 each and a watermelon costs rs . 6 each . if i spend rs 51 on total what is the number of pineapple i purchased ? 
Options: a ) 6 , b ) 7 , c ) 5 , d ) 3 , e ) 2
Output: c
Problem: can you find a 6 digit number under 5 lakh such that the sum of it ' s digits is 43 ? 
Options: a ) 588338 , b ) 499449 , c ) 399826 , d ) 788392 , e ) 622975
Output: b
Problem: a sum of money lent out at s . i . amounts to rs . 710 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ? 
Options: a ) s . 440 , b ) s . 586 , c ) s . 540 , d ) s . 740 , e ) s . 840
Output: b