Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: there is a escalator and 2 persons move down it . a takes 50 steps and b takes 75 steps while the escalator is moving down . given that the time taken by a to take 1 step is equal to time taken by b to take 3 steps . find the no . of steps in the escalator while it is staionary ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Answer: e
Input: Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 5 independent times , what is the probability that event a occurs exactly twice ? 
Options: a ) 36 / 625 , b ) 48 / 625 , c ) 64 / 625 , d ) 98 / 625 , e ) 128 / 625
Answer: e
Input: Problem: in a certain accounting class of 100 students , 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date . if the students on the assigned day had an average score of 60 % , and the students on the make - up date had an average score of 90 % , what was the average score for the entire class ? 
Options: a ) 65 % , b ) 67 % , c ) 69 % , d ) 72 % , e ) 75 %
Answer: c
Input: 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
Answer: b
Input: Problem: what is the value of 11 ^ x - 11 ^ ( x + 2 ) , where x is the largest integer such that 11 ^ x is a factor of 30030 ? 
Options: a ) - 1331 , b ) - 1320 , c ) - 121 , d ) - 120 , e ) - 1
Answer: b
Input: Problem: ram - leela has $ 100 in her piggy bank . how much will she have in her bank 52 weeks from now if she puts $ 1 in the bank next week , $ 2 two weeks from now , $ 3 3 weeks from now , and continues to increase the amount that she puts in by $ 1 each week ? 
Options: a ) 1478 , b ) 1578 , c ) 1678 , d ) 1778 , e ) 1798
Answer: a
Input: Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 15 and 41 inclusive . 
Options: a ) 351 , b ) 392 , c ) 410 , d ) 424 , e ) 450
Answer: b
Input: Problem: how many digits will be there to the right of the decimal point in the product of 95 and . 02554 ? 
Options: a ) 6 , b ) 7 , c ) 4 , d ) 5 , e ) 8
Answer: c
Input: Problem: the average of 5 consecutive odd numbers is 55 . what is the difference between the highest and lowest numbers ? 
Options: a ) 2 , b ) 5 , c ) 8 , d ) 9 , e ) 10
Answer: c
Input: Problem: ( 700 + 200 ) ã — 4 ã — ( 4 + 2 ) = ? 
Options: a ) 24500 , b ) 21600 , c ) 36600 , d ) 22400 , e ) 12500
Answer: b
Input: Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 152 . if the ratio of his marks in english and maths is 1 : 5 , find his marks in science ? 
Options: a ) 8 , b ) 77 , c ) 66 , d ) 55 , e ) 31
Answer: a
Input: Problem: all the students of class are told to sit in circle shape . here the boy at the 6 th position is exactly opposite to 16 th boy . total number of boys in the class ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Answer: c
Input: Problem: 0.0006688 / 0.0000150 x 19.85 = ? 
Options: a ) 850 , b ) 900 , c ) 950 , d ) 1000 , e ) 2000
Answer: b
Input: Problem: sandy bought 65 books for $ 1180 from one shop and 55 books for $ 860 from another shop . what is the average price that sandy paid per book ? 
Options: a ) $ 13 , b ) $ 15 , c ) $ 17 , d ) $ 19 , e ) $ 21
Answer: c
Input: 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
Answer: a
Input: Problem: molly ' s age in 18 years will be 5 times her age 6 years ago . what is molly ' s present age ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 12 , e ) 14
Answer: d
Input: Problem: the difference between the place values of two sevens in the numerical 69758472 is 
Options: a ) 0 , b ) 6993 , c ) 699930 , d ) 996330 , e ) none of them
Answer: c
Input: Problem: p has $ 42 more than what q and r together would have had if both b and c had 1 / 8 of what p has . how much does p have ? 
Options: a ) $ 44 , b ) $ 48 , c ) $ 52 , d ) $ 56 , e ) $ 60
Answer: d
Input: 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
Answer: a
Input: Problem: in the x - y plane , there are 4 points ( 00 ) , ( 04 ) , ( 54 ) , and ( 50 ) . if these 4 points makes a rectangle , what is the probability that x + y < 4 ? 
Options: a ) 2 / 3 , b ) 2 / 5 , c ) 3 / 4 , d ) 3 / 7 , e ) 5 / 8
Answer: b
Input: Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 16000 left with him . find salary . . 
Options: a ) $ 10800 , b ) $ 18000 , c ) $ 160000 , d ) $ 1800 , e ) none
Answer: c
Input: Problem: a basketball is dropped from a height of 40 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 3 full bounces . 
Options: a ) 50 , b ) 55 , c ) 110 , d ) 75 , e ) 80
Answer: c
Input: Problem: [ ( 3.242 x 15 ) / 100 ] = ? 
Options: a ) 0.045388 , b ) 4.5388 , c ) 453.88 , d ) 473.88 , e ) 0.04863
Answer: e
Input: Problem: the average weight of 9 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what is the weight of the new person ? 
Options: a ) 85.5 , b ) 86.5 , c ) 87.5 , d ) 88.5 , e ) 89.5
Answer: c
Input: Problem: the average salary of workers in an industry is rs . 300 the average salary of technicians being rs . 400 and that of non - technicians being rs . 125 . what is the total number of workers ? 
Options: a ) 230 , b ) 234 , c ) 250 , d ) 547 , e ) 484
Answer: b
Input: Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 20 of money ? 
Options: a ) 1500 , b ) 1992 , c ) 9921 , d ) 2798 , e ) 2000
Answer: e
Input: Problem: what least no . must be subtracted from 427398 so that remaining no . is divisible by 15 ? 
Options: a ) 344545629 , b ) 723437481 , c ) 354595321 , d ) 964564944 , e ) 458449909
Answer: b
Input: 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
Answer: a
Input: Problem: the average ( arithmetic mean ) of 4 different integers is 72 . if the largest integer is 90 , what is the least possible value of the smallest integer ? 
Options: a ) 1 , b ) 19 , c ) 21 , d ) 30 , e ) 33
Answer: c
Input: Problem: 40 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? 
Options: a ) 13.2 , b ) 17.5 , c ) 12.8 , d ) 34.25 , e ) 31.25
Answer: b
Input: Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 63 . what is that number 
Options: a ) 6 , b ) 10 , c ) 12 , d ) 14 , e ) 15
Answer: a
Input: 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
Answer: d
Input: Problem: in a hostel there were 100 students . to accommodate 40 more students the average is decreased by rupees 10 . but total expenditure decreased by rs . 400 . find the total expenditure of the hostel now ? 
Options: a ) 1400 , b ) 2500 , c ) 3000 , d ) 1500 , e ) 2100
Answer: e
Input: Problem: a professional janitor can clean a certain high school in ( 4 + 4 ) hours , working at a constant rate . a student sentenced to detention can clean that same high school in 20 hours , also working at a constant rate . if the student is paid $ 7 total per hour and the janitor is paid $ 21 per hour , how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together ? 
Options: a ) - $ 56 , b ) - $ 6 , c ) $ 0 , d ) $ 6 , e ) $ 8
Answer: e
Input: Problem: the difference between a 7 digit number and the number formed by reversing its digit is not a multiple of 
Options: a ) 121 , b ) 11 , c ) 9 , d ) 10 , e ) 3
Answer: a
Input: Problem: if z is not equal to zero , and z = 6 zs − 9 s 2 − − − − − − − − √ z = 6 zs − 9 s 2 , then z equals : 
Options: a ) s , b ) 3 s , c ) 4 s , d ) - 3 s , e ) - 4 s
Answer: b
Input: Problem: if xy denotes x is raised to the power y , find the last two digits of 19413846 + 19614181 
Options: a ) 67 , b ) 74 , c ) 82 , d ) 98 , e ) 34
Answer: c
Input: Problem: consider the word rotor . whichever way you read it , from left to right or from right to left , you get the same word . such a word is known as palindrome . find the maximum possible number of 5 - letter palindromes 
Options: a ) 1700 , b ) 7570 , c ) 1576 , d ) 17576 , e ) 500
Answer: d
Input: Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 15 % impurities to the product . find the net profit percentage of the dealer ? 
Options: a ) 46.85 % , b ) 43.75 % , c ) 50 % , d ) 56.25 % , e ) 36 %
Answer: b
Input: Problem: if 7 / w + 7 / x = 7 / y and wx = y , then the average ( arithmetic mean ) of w and x is 
Options: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 4 , e ) 8
Answer: a
Input: Problem: if n divided by 9 has a remainder of 8 , what is the remainder when 2 times n is divided by 9 ? 
Options: a ) 1 , b ) 7 , c ) 3 , d ) 5 , e ) 6
Answer: b
Input: Problem: find 3486 / 189 
Options: a ) 18.44 , b ) 18.48 , c ) 18.42 , d ) 18.49 , e ) 18.41
Answer: a
Input: Problem: arjun started a business with rs . 40,000 and is joined afterwards by anoop with rs . 80 , 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 ) 7
Answer: d
Input: Problem: if a : b = 2 : 3 , b : c = 4 : 5 and c : d = 5 : 9 then a : d is equal to : 
Options: a ) 11 : 17 , b ) 8 : 27 , c ) 5 : 9 , d ) 2 : 9 , e ) none
Answer: b
Input: Problem: on a certain island , 5 % of the 10000 inhabitants are one - legged and half of the others go barefooted . what is the least number of shoes needed in the island ? 
Options: a ) 10200 , b ) 10000 , c ) 9500 , d ) 9000 , e ) none
Answer: b
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 11.52 . if x / y = 96.12 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 48 , d ) 25 , e ) 12
Answer: a
Input: Problem: if | 5 x - 25 | = 100 , then find the sum of the values of x ? 
Options: a ) 1 , b ) - 2 , c ) 10 , d ) - 3 , e ) 4
Answer: c
Input: Problem: in an apartment building that has 441 units , 4 out of every 7 units are currently rented , including 1 / 5 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 ) 45 , b ) 70 , c ) 100 , d ) 105 , e ) 140
Answer: a
Input: Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 60 year . what is the age of the eldest child ? 
Options: a ) 4 year , b ) 18 year , c ) 10 year , d ) none of these , e ) 9 year
Answer: b
Input: Problem: if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.50 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was 
Options: a ) $ 1.56 , b ) $ 2.40 , c ) $ 3.80 , d ) $ 4.20 , e ) $ 8.00
Answer: e
Input: Problem: how many multiples of 5 are there between 0 and 358 ? 
Options: a ) 54 , b ) 75 , c ) 76 , d ) 71 , e ) 58
Answer: d
Input: Problem: each week , harry is paid x dollars per hour for the first 30 hours and 2 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
Answer: b
Input: Problem: jar x is 1 / 4 full of water . jar y , which has half the capacity of jar x , is 1 / 2 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? 
Options: a ) 2 / 5 , b ) 1 / 4 , c ) 1 / 3 , d ) 1 / 2 , e ) 2 / 3
Answer: d
Input: 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
Answer: e
Input: Problem: find the average of first 4 multiples of 12 ? 
Options: a ) 10 , b ) 12.6 , c ) 22.5 , d ) 30 , e ) 40.8
Answer: d
Input: Problem: 10 is added to a certain number , the sum is multiplied by 2 , the product is divided by 2 and 2 is subtracted from the quotient . the remainder left is half of 88 . what is the number ? 
Options: a ) 21 , b ) 20 , c ) 25 , d ) 36 , e ) 45
Answer: d
Input: Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the integers between 1 and 50 ? 
Options: a ) 1275 , b ) 1542 , c ) 985 , d ) 1024 , e ) 1125
Answer: a
Input: Problem: if 5 < x < 12 and y = x + 3 , what is the greatest possible integer value of x + y ? 
Options: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27
Answer: d
Input: Problem: he total marks obtained by a student in physics , chemistry and mathematics is 130 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ? 
Options: a ) 55 , b ) 65 , c ) 75 , d ) 85 , e ) 95
Answer: b
Input: Problem: if x = - 2 and y = - 4 , what is the value of 5 ( x - y ) ^ 2 - xy ? 
Options: a ) 12 , b ) 13 , c ) 15 , d ) 18 , e ) 22
Answer: a
Input: 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
Answer: c
Input: 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 %
Answer: c
Input: Problem: the sum of the ages 4 members of a family 5 years ago was 94 . today , when the daughter has been married off and replaced by a daughter - in - law , the sum of their ages is 100 . assuming that there has been no other change in the family structure and all members are alive , what is the difference in the ages of daughter and daughter - in - law ? 
Options: a ) 22 , b ) 11 , c ) 25 , d ) 14 , e ) 16
Answer: d
Input: Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 16 times as heavy as water ? 
Options: a ) 1 : 2 , b ) 7 : 3 , c ) 4 : 1 , d ) 5 : 2 , e ) 6 : 5
Answer: b
Input: Problem: if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 20 , then the greatest possible value of a is between : 
Options: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9
Answer: a
Input: Problem: find the least number which when divided by 34 and 5 leaves a remainder of 4 in each case . 
Options: a ) 170 , b ) 172 , c ) 174 , d ) 176 , e ) 178
Answer: c
Input: Problem: mary and mike enter into a partnership by investing $ 550 and $ 450 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 1000 more than mike did , what was the profit made by their business in that year ? 
Options: a ) $ 8000 , b ) $ 10000 , c ) $ 15000 , d ) $ 12000 , e ) $ 12500
Answer: c
Input: Problem: each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum v in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is 
Options: a ) 90 % , b ) 80 % , c ) 70 % , d ) 60 % , e ) 40 %
Answer: a
Input: Problem: a jogger running at 9 km / hr along side a railway track is 180 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 89 , b ) 20 , c ) 36 , d ) 88 , e ) 30
Answer: e
Input: Problem: the average of 5 quantities is 9 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? 
Options: a ) 16.5 , b ) 10 , c ) 8 , d ) 9.5 , e ) none of these
Answer: a
Input: Problem: what is the minimum value of | x - 4 | + | x + 8 | + | x - 5 | ? 
Options: a ) - 13 , b ) 13 , c ) 5 , d ) 7 , e ) 8
Answer: b
Input: Problem: . 007 / ? = . 01 
Options: a ) . 7 , b ) . 07 , c ) . 007 , d ) . 0007 , e ) none of them
Answer: a
Input: Problem: what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 84 ? 
Options: a ) 5307 , b ) 5647 , c ) 5927 , d ) 6297 , e ) 6557
Answer: d
Input: Problem: if x + y = 250 , x - y = 200 , for integers of x and y , y = ? 
Options: a ) 200 , b ) 225 , c ) 50 , d ) 115 , e ) 150
Answer: b
Input: Problem: a man spends 1 / 3 rd of his salary on food . he spends 1 / 4 th on rent and 1 / 5 th on cloths . if he is left with 1760 , then who much salary does he earn 
Options: a ) 8223 , b ) 8123 , c ) 8323 , d ) 8423 , e ) 8523
Answer: b
Input: Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 6 eggs . if the cost of each pound of rice is $ 0.24 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] 
Options: a ) 0.20 , b ) 0.24 , c ) 20 , d ) 24 , e ) 55
Answer: d
Input: 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
Answer: a
Input: Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 250 , what were her original savings ? 
Options: a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 1000
Answer: e
Input: Problem: a , b , c subscribe rs . 50000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35000 a receives : 
Options: a ) rs . 11900 , b ) rs . 8400 , c ) rs . 14700 , d ) rs . 13600 , e ) rs . 14600
Answer: c
Input: 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
Answer: d
Input: Problem: if y > 0 , ( 9 y ) / 20 + ( 3 y ) / 10 is what percent of y ? 
Options: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 75 %
Answer: e
Input: Problem: a taxi company costs $ 2.75 for the first quarter - mile and 12.5 cents for each additional quarter mile . what is the maximum distance you can travel with $ 6.50 ? 
Options: a ) 4 miles , b ) 5 3 / 4 miles , c ) 6 1 / 2 miles , d ) 7 3 / 4 miles , e ) 8 1 / 4 miles
Answer: d
Input: 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
Answer: e
Input: Problem: if jake loses 8 pounds , he will weigh twice as much as his sister . together they now weigh 278 pounds . what is jake ’ s present weight , in pounds ? 
Options: a ) 131 , b ) 135 , c ) 139 , d ) 147 , e ) 188
Answer: e
Input: Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 6.50 per hour , how much less than a manager does a chef earn each hour ? 
Options: a ) $ 2.6 , b ) $ 2.40 , c ) $ 3.40 , d ) $ 4.40 , e ) $ 5.40
Answer: a
Input: Problem: how many positive integers less than 240 are multiple of 4 but not multiples of 6 ? 
Options: a ) 40 , b ) 31 , c ) 42 , d ) 53 , e ) 64
Answer: a
Input: Problem: what is the least number which should be added to 2697 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? 
Options: a ) 3 , b ) 11 , c ) 19 , d ) 27 , e ) 35
Answer: a
Input: Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 8 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 10 left in his pocket . what was the value of n ? 
Options: a ) $ 32 , b ) $ 36 , c ) $ 52 , d ) $ 60 , e ) $ 68
Answer: a
Input: Problem: in the xy - coordinate plane , the graph of y = - x ^ 2 + 4 intersects line l at ( p , 5 ) and ( t , - 7 ) . what is the least possible value of the slope of line l ? 
Options: a ) 6 , b ) 2 , c ) - 4 , d ) - 6 , e ) - 10
Answer: c
Input: Problem: the population of a city increases by 7 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? 
Options: a ) 9 % , b ) 9.10 % , c ) 27 % , d ) 12 % , e ) none of these
Answer: b
Input: Problem: the average of 45 results is 25 and the average of other 25 results is 45 . what is the average of all the results ? 
Options: a ) 24 , b ) 32 , c ) 48 , d ) 50 , e ) none
Answer: b
Input: Problem: 43 : 34 : : 52 : ? 
Options: a ) 49 , b ) 25 , c ) 36 , d ) 64 , e ) 56
Answer: b
Input: Problem: 3 sets of 40 , 50 and 60 students appeared for an examination and the pass percentage was 100 , 90 and 80 respectively . the pass percentage of the whole set is 
Options: a ) 88.33 , b ) 84.33 , c ) 88.66 , d ) 84.66 , e ) none of these
Answer: c
Input: 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
Answer: b
Input: Problem: the average of first 15 natural numbers is ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: 5 times a number equals one 100 . the number is 
Options: a ) 50 , b ) 10 , c ) 15 , d ) 25 , e ) 20
Answer: e
Input: Problem: a , b and c have rs . 600 between them , a and c together have rs . 250 and b and c rs . 450 . how much does c have ? 
Options: a ) 70 , b ) 90 , c ) 120 , d ) 100 , e ) 140
Answer: d
Input: Problem: what is the lowest positive integer that is divisible by 4 through 7 , inclusive ? 
Options: a ) 77 , b ) 270 , c ) 1600 , d ) 840 , e ) 980
Answer: d
Input: Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 140 , then the greatest possible value of a is between : 
Options: a ) 0 and 2 , b ) 2 and 3 , c ) 3 and 4 , d ) 4 and 5 , e ) 5 and 8
Answer: e
Input: Problem: the average of the marks of 11 students in a class is 36 . if the marks of each student are doubled , find the new average ? 
Options: a ) 69 , b ) 70 , c ) 71 , d ) 72 , e ) 75
Answer: d
Input: Problem: on dividing number by 56 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: b
Input: Problem: if there are 200 questions in a 3 hr examination . among these questions are 50 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? 
Options: a ) 72 min , b ) 62 min , c ) 70 min , d ) 74 min , e ) 76 min
Answer: a
Input: Problem: if sales tax is reduced from 5 % to 4 % , then what difference it will make if you purchase an item of rs . 1000 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Answer: a
Input: Problem: a store owner estimates that the average price of type a products will increase by 40 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? 
Options: a ) $ 14,755 , b ) $ 15,430 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155
Answer: b
Input: Problem: if a person walks at 12 km / hr instead of 8 km / hr , he would have walked 20 km more . the actual distance traveled by him is ? 
Options: a ) 50 km , b ) 58 km , c ) 60 km , d ) 40 km , e ) 65 km
Answer: d
Input: Problem: how many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both ? 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: a
Input: 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
Answer: b
Input: Problem: the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.4 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ? 
Options: a ) 2.3 , b ) 2.5 , c ) 3.5 , d ) 3.6 , e ) 4.6
Answer: e
Input: Problem: an auto assembly plant performs 6 functions with each frame that arrives : add axles , add wheels to the axles , install the windshield to the frame , install the instrument panel , install the steering wheel , and install the interior seating . once those 6 tasks are performed , each car goes to a separate building for finishing touches . if these tasks can be arranged along a linear assembly line in any order , except that the axles must be installed before the wheels can be added , how many t ways can the assembly line be arranged ? 
Options: a ) 120 , b ) 240 , c ) 360 , d ) 480 , e ) 720
Answer: c
Input: Problem: ( 7.5 × 7.5 + 37.5 + 2.5 × 2.5 ) is equal to : 
Options: a ) 30 , b ) 60 , c ) 80 , d ) 100 , e ) none of these
Answer: d
Input: Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 110000 , find the cost of a camel ? 
Options: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 4400 , e ) s . 6880
Answer: d
Input: Problem: following an increase in prices , the price of a candy box was 15 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? 
Options: a ) 11 . , b ) 12 . , c ) 13 . , d ) 14 . , e ) 16
Answer: e
Input: Problem: if x is a positive integer , then the least value of x for which x ! is divisible by 100000 is ? can someone please explain intuitively what the question is asking ? 
Options: a ) 5 , b ) 9 , c ) 12 , d ) 20 , e ) 30
Answer: d
Input: Problem: in the x - y plane , there are 4 points ( 0,0 ) , ( 0,4 ) , ( 7,4 ) , and ( 7,0 ) . if these 4 points makes a rectangle , what is the probability that x + y < 4 ? 
Options: a ) 2 / 3 , b ) 3 / 5 , c ) 2 / 7 , d ) 4 / 9 , e ) 7 / 10
Answer: c
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 12,500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years later , when luke is ready for college ? 
Options: a ) 62,000 , b ) 85,500 , c ) 95,500 , d ) 100,500 , e ) 100,000
Answer: a
Input: Problem: the average of 10 numbers is 60 . out of 10 numbers the average of first 6 no . is 68 , and last 6 numbers is 75 then find 7 th number ? 
Options: a ) a ) 78 , b ) b ) 65 , c ) c ) 258 , d ) d ) 62 , e ) e ) 48
Answer: c
Input: Problem: the average of 10 numbers was calculated as 17 . it is discovered later on that while calculating the average , one number , namely 56 , was incorrectly read as 26 . what is the correct average ? 
Options: a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23
Answer: b
Input: Problem: a grocer is storing soap boxes in cartons that measure 30 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 6 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? 
Options: a ) 360 , b ) 252 , c ) 280 , d ) 300 , e ) 420
Answer: a
Input: 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 $ 5000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Answer: a
Input: Problem: what is the value of ( 44444445 * 88888885 * 44444442 + 44444438 / 44444444 ^ 2 ) 
Options: a ) 88888883 , b ) 88888884 , c ) 88888885 , d ) 88888886 , e ) 88888873
Answer: a
Input: Problem: if a ( a + 2 ) = 48 and b ( b + 2 ) = 48 , where a ≠ b , then a + b = 
Options: a ) - 10 , b ) - 9 , c ) - 5 , d ) - 4 , e ) - 2
Answer: b
Input: Problem: if 2994 ã · 14.5 = 173 , then 29.94 ã · 1.45 = ? 
Options: a ) 17.1 , b ) 17.3 , c ) 17.5 , d ) 17.7 , e ) 17.2
Answer: b
Input: Problem: the average marks of a class of 26 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? 
Options: a ) 52.2 , b ) 59.5 , c ) 52.8 , d ) 52.5 , e ) 53.1
Answer: e
Input: Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 6 full , while jug y is 2 / 3 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ? 
Options: a ) 0 , b ) 1 / 12 , c ) 2 / 15 , d ) 1 / 10 , e ) 2 / 10
Answer: b
Input: Problem: ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio r of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ? 
Options: a ) 8 : 3 , b ) 3 : 2 , c ) 4 : 3 , d ) 2 : 3 , e ) 3 : 8
Answer: b
Input: Problem: a number when multiplied by 3 is odd and divisible by 9 . this number when multiplied by 4 is 108 . what is the original number ? 
Options: a ) 10 , b ) 18 , c ) 13 , d ) 21 , e ) 27
Answer: e
Input: Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 1 / 5 of the remaining balance , what will be the final balance in her bank account ? 
Options: a ) 300 , b ) 360 , c ) 400 , d ) 500 , e ) 575
Answer: b
Input: Problem: mr . hanson has a pool of money from which to give out christmas bonuses to his 5 employees . he wants all his employees to have identical bonuses , but when he divides them out , he finds he has 2 dollars left over , as the payroll system will only accept whole dollar amounts . the next christmas , mr . hanson discovers the pool for the bonuses is 3 times the size . this time , how much money will be left over ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: 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 . 1015 . find the cost of each ice - cream cup ? 
Options: a ) 34 , b ) 76 , c ) 29 , d ) 12 , e ) 20
Answer: a
Input: Problem: 3 years ago the average age of a class of 6 members was 19 years . a boy have been added , the average age of the class is the same today . what is the age of the boy ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 196 what is the fewest number of $ 4 frisbees that could have been sold ? 
Options: a ) 24 , b ) 12 , c ) 8 , d ) 2 , e ) 4
Answer: e
Input: Problem: the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is : 
Options: a ) 170 , b ) 130 , c ) 150 , d ) 120 , e ) 180
Answer: a
Input: Problem: what is the greatest positive integer x such that 2 ^ x is a factor of 8 ^ 10 ? 
Options: a ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30
Answer: e
Input: Problem: find the quotient : 0.0204 / 17 
Options: a ) 0.012 , b ) 0.12 , c ) 0.0012 , d ) 0.00012 , e ) none of them
Answer: c
Input: Problem: if 20 liters of chemical x are added to 80 liters of a mixture that is 30 % chemical x and 70 % chemical y , then what percentage of the resulting mixture is chemical x ? 
Options: a ) 32 % , b ) 35 % , c ) 38 % , d ) 41 % , e ) 44 %
Answer: e
Input: Problem: if x > 0 , x / 50 + x / 5 is what percent of x ? 
Options: a ) 6 % , b ) 25 % , c ) 37 1 / 2 % , d ) 60 % , e ) 75 %
Answer: b
Input: Problem: what is the value of 4 ^ 5 + 4 ^ 8 ? 
Options: a ) 4 ^ 12 , b ) 4 ^ 35 , c ) 17 ( 4 ^ 5 ) , d ) 8 ^ 12 , e ) 65 ( 4 ^ 5 )
Answer: e
Input: Problem: in the storage room of a certain bakery , the ratio of sugar to flour is 5 to 4 , and the ratio of flour to baking soda is 10 to 1 . if there were 60 more pounds of baking soda in the room , the ratio of flour to baking soda would be 8 to 1 . how many pounds of sugar are stored in the room ? 
Options: a ) 600 , b ) 1200 , c ) 1500 , d ) 1600 , e ) 3000
Answer: e
Input: 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 75 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? 
Options: a ) 69.55 $ , b ) 50.63 $ , c ) 60.95 $ , d ) 52.15 $ , e ) 53.15 $
Answer: c
Input: Problem: 2 ^ 8 × 39 + 31 = ? 
Options: a ) 34545 , b ) 65657 , c ) 65567 , d ) 45677 , e ) 56782
Answer: c
Input: Problem: the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is ? 
Options: a ) 377 , b ) 126 , c ) 111 , d ) 727 , e ) 121
Answer: c
Input: Problem: bookman purchased 40 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 300 , how many paperback copies were sold ? 
Options: a ) 6 , b ) 4 , c ) 8 , d ) 10 , e ) 12
Answer: c
Input: Problem: if 6 ! / 3 ^ x is an integer , what is the greatest possible value of x ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: ( 51 + 52 + 53 + . . . + 100 ) = ? 
Options: a ) 2525 , b ) 2975 , c ) 3225 , d ) 3775 , e ) 2753
Answer: d
Input: Problem: jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85 . if jerry wants to raise his average by 3 points , what score must he earn on the fourth test ? 
Options: a ) 97 , b ) 89 , c ) 90 , d ) 93 , e ) 95
Answer: a
Input: Problem: a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction x of the selected films are in color ? 
Options: a ) 1 / 130 , b ) 1 / 5 , c ) 3 / 13 , d ) 10 / 13 , e ) 30 / 31
Answer: e
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.3 years , the ratio of the number of boys to the number of girls in the class is 
Options: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 5 : 6
Answer: e
Input: Problem: what is the positive difference between the sum of the squares of the first 8 positive integers and the sum of the prime numbers between the first square and fourth square ? 
Options: a ) 161 , b ) 162 , c ) 163 , d ) 164 , e ) 165
Answer: c
Input: Problem: a company charges a fixed rental of rs . 350 per month . it allows 200 calls free per month . each call is charge at rs . 1.4 when the number of calls exceed 200 per month and it charges rs . 1.6 when the number of calls exceeds 400 per month and so on . a customer made 150 calls in february and 250 calls in march . by how much percent each call is cheaper in march than each call in february . 
Options: a ) 28 % , b ) 25 % , c ) 18.5 % , d ) 16 % , e ) none of these
Answer: a
Input: Problem: the number of timeshare condos available at sunset beach is 2 / 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 210 , 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 ) 60 , b ) 90 , c ) 120 , d ) 150 , e ) 240
Answer: b
Input: Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 95 units raises the average to 55 units per day , what is the value of n ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: c
Input: Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number r of employees who take the subway to work ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: what is the smallest integer t greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ? 
Options: a ) 21 , b ) 41 , c ) t = 121 , d ) 241 , e ) 481
Answer: c
Input: Problem: the average weight of 10 person ' s increases by 4 kg when a new person comes in place of one of them weighing 70 kg . what is the weight of the new person ? 
Options: a ) 85 , b ) 86.5 , c ) 90 , d ) 88.5 , e ) 110
Answer: e
Input: Problem: 3 distinct single - digit numbers . a , b , c are in gp . if abs ( x ) for real x is the absolute value of x ( x if x is + ve or 0 and - x if x is - ve ) , then the number of different possible values of abs ( a + b + c ) is 
Options: a ) 5 , b ) 6 , c ) 3 , d ) 4 , e ) 7
Answer: d
Input: Problem: set a consists of all the prime numbers between 15 and 36 . what is the range of set a ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 17 , e ) 23
Answer: c
Input: Problem: average between 2 sets of numbers is closer to the set with more no ' s ? 
Options: a ) 70 , b ) 80 , c ) 90 , d ) 92 , e ) 94
Answer: b
Input: Problem: if x is 30 percent more than y and y is 40 percent less than z , then x is what percent of z ? 
Options: a ) 78 % , b ) 250 % , c ) 500 / 3 % , d ) 125 % , e ) 60 %
Answer: a
Input: Problem: 5.005 / 2.002 = 
Options: a ) 2.05 , b ) 2.50025 , c ) 2.501 , d ) 2.5025 , e ) 2.5
Answer: e
Input: Problem: o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 3.2 ) + e ( – 1.7 ) + o ( – 3.3 ) + e ( 4.7 ) is : 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: the average mark of the students of a class in a particular exam is 90 . if 2 students whose average mark in that exam is 45 are excluded , the average mark of the remaining will be 95 . find the number of students who wrote the exam ? 
Options: a ) 10 , b ) 40 , c ) 20 , d ) 30 , e ) 25
Answer: c
Input: Problem: if 2 x + y = 7 and x + 2 y = 5 , then 10 xy / 3 = ? 
Options: a ) a ) 10 , b ) b ) 2 , c ) c ) 17 / 5 , d ) d ) 18 / 5 , e ) e ) 4
Answer: a
Input: Problem: a line that passes through ( – 1 , – 4 ) and ( 4 , k ) has a slope = k . what is the value of k ? 
Options: a ) 3 / 4 , b ) 1 , c ) 4 / 3 , d ) 2 , e ) 7 / 2
Answer: b
Input: Problem: in objective test a correct ans score 4 marks and on a wrong ans 2 marks are - - - . a student score 480 marks from 150 question . how many ans were correct ? 
Options: a ) 120 , b ) 130 , c ) 110 , d ) 150 , e ) 180
Answer: b
Input: Problem: what is the least number which should be added to 5432 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? 
Options: a ) 16 , b ) 22 , c ) 28 , d ) 34 , e ) 40
Answer: c
Input: Problem: find the value of 72515 x 9999 = m ? 
Options: a ) 345434667 , b ) 246465757 , c ) 465767867 , d ) 725077485 , e ) 645354643
Answer: d
Input: Problem: if the number 992 , 132,24 x is divisible by 11 , what must be the value of x ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 0
Answer: e
Input: Problem: a certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 11 cards ? 
Options: a ) 1 / 11 , b ) 2 / 11 , c ) 2 / 33 , d ) 4 / 55 , e ) 5 / 66
Answer: d
Input: Problem: 3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 155 kg then find the average weight of all the 7 rounds ? 
Options: a ) 98.5 kgs , b ) 88.5 kgs , c ) 86.5 kgs , d ) 67.5 kgs , e ) 88.2 kgs
Answer: b
Input: Problem: the average height of 30 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm . what was the actual average height of the students in the class ? 
Options: a ) 174.5 , b ) 173.5 , c ) 172.5 , d ) 171.5 , e ) 170.5
Answer: a
Input: Problem: if 350 ! / 10 ^ n is an integer , what is the largest possible value of n ? 
Options: a ) 88 , b ) 82 , c ) 86 , d ) 87 , e ) 80
Answer: c
Input: Problem: evaluate : 1024 x 237 + 976 x 237 
Options: a ) 486000 , b ) 568000 , c ) 378000 , d ) 474000 , e ) none of them
Answer: d
Input: Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 89 , what is the value of a ? 
Options: a ) 25 , b ) 30 , c ) 28 , d ) 34 , e ) 42
Answer: d
Input: Problem: think of a number , divide it by 5 and add 23 to it . the result is 42 . what is the number thought of ? 
Options: a ) 24 , b ) 77 , c ) 297 , d ) 267 , e ) 95
Answer: e
Input: Problem: dan ' s age after 16 years will be 4 times his age 8 years ago . what is the present age of dan ? 
Options: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28
Answer: b
Input: Problem: a vessel of capacity 2 litre has 20 % of alcohol and another vessel of capacity 6 litre had 55 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? 
Options: a ) 37 % . , b ) 71 % . , c ) 49 % . , d ) 29 % . , e ) 51 % .
Answer: a
Input: Problem: what is the area inscribed by the lines y = 6 , x = 3 , y = 2 x - 4 on an xy - coordinate plane ? 
Options: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 8 , e ) e ) 16
Answer: c
Input: Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on conveyance . if he has rs . 1400 left with him , find his expenditure on food and conveyance . 
Options: a ) 1000 , b ) 2000 , c ) 3000 , d ) 4000 , e ) 5000
Answer: a
Input: Problem: 1 = 5,2 = 10,3 = 253,4 = 254,5 = 255,6 = 256,7 = 257,8 = 258 then 10 = ? 
Options: a ) 2 , b ) 255 , c ) 345 , d ) 445 , e ) 235
Answer: a
Input: Problem: a batch of cookies was divided amomg 3 tins : 3 / 4 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin 
Options: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 3 / 5 , e ) 9 / 7
Answer: d
Input: Problem: ashok secured average of 77 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? 
Options: a ) 38 , b ) 27 , c ) 92 , d ) 17 , e ) 80
Answer: c
Input: Problem: there are 7 thieves . they stole diamonds from a diamond merchant and ran away . while running , night sets in and they decide to rest in the jungle . when everybody was sleeping , two of them woke up and decided to divide the diamonds equally among themselves . but when they divided the diamonds equally , one diamond is left . so they woke up the 3 rd thief and tried to divide the diamonds equally again but still one diamond was left . then they woke up the 4 th thief to divide the diamonds equally again , and again one diamond was left . this happened with the 5 th and 6 th thief – one diamond was still left . finally , they woke up the 7 th thief and this time the diamonds were divided equally . how many diamonds did they steal in total ? 
Options: a ) 1560 , b ) 1561 , c ) 1559 , d ) 1557 , e ) none of the above
Answer: b
Input: Problem: ( 128.5 x 60 ) + ( 13.8 x 65 ) = ? x 25 
Options: a ) 524.48 , b ) 344.28 , c ) 574.36 , d ) 585.64 , e ) 595.46
Answer: b
Input: Problem: the average weight of 8 person ' s increases by 6 kg when a new person comes in place of one of them weighing 45 kg . what is the weight of the new person ? 
Options: a ) 90 , b ) 93 , c ) 56 , d ) 80.5 , e ) 78
Answer: b
Input: Problem: what is the smallest integer that is multiple of 8,7 and 20 
Options: a ) 141 , b ) 180 , c ) 130 , d ) 122 , e ) 280
Answer: e
Input: Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 18 times as heavy as water ? 
Options: a ) 1 : 2 , b ) 3 : 2 , c ) 9 : 1 , d ) 5 : 2 , e ) 6 : 5
Answer: c
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 30 was wrongly taken as 23 . the corrected new mean is : 
Options: a ) 36.02 , b ) 36.14 , c ) 36.12 , d ) 36.11 , e ) 36.8
Answer: b
Input: Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 80 , then 1 / m + 1 / n is equal to 
Options: a ) 1 / 35 , b ) 3 / 35 , c ) 5 / 37 , d ) 4 / 63 , e ) none
Answer: d
Input: Problem: a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 6.0 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? 
Options: a ) $ 960 , b ) $ 1,350 , c ) $ 1,725 , d ) $ 2,050 , e ) $ 1,800
Answer: e
Input: Problem: little john had $ 5.10 . he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each . how much money was left ? 
Options: a ) $ 2.15 , b ) $ 2.05 , c ) $ 2.45 , d ) $ 2.25 , e ) $ 2.85
Answer: b
Input: Problem: a rope of which a calf is tied is increased from 12 m to 18 m , how much additional grassy ground shall it graze ? 
Options: a ) 1217 , b ) 1219 , c ) 1210 , d ) 565.7 , e ) 1312
Answer: d