Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: what number times ( 1 ⁄ 7 ) ^ 2 will give the value of 7 ^ 3 ? 
Options: a ) 7 , b ) 49 , c ) 343 , d ) 2401 , e ) 16,807
Answer: e
Input: Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 35 . he was allowed to drop his lowest score . after doing so , his average test score improved to 40 . what is the lowest test score that was dropped ? 
Options: a ) 20 , b ) 25 , c ) 55 , d ) 65 , e ) 80
Answer: a
Input: Problem: find out the c . i on rs . 3000 at 4 % p . a . compound half - yearly for 1 1 / 2 years 
Options: a ) 183.62 , b ) 106.07 , c ) 106.04 , d ) 106.03 , e ) 186.01
Answer: a
Input: Problem: how many even number in the range between 10 to 150 inclusive are not divisible by 3 
Options: a ) 15 , b ) 30 , c ) 31 , d ) 33 , e ) 47
Answer: e
Input: Problem: find out the square of a number which when doubled exceeds its one nineth by 17 ? 
Options: a ) 16 , b ) 25 , c ) 81 , d ) 26 , e ) 17
Answer: c
Input: Problem: the two lines y = x and x = - 5 intersect on the coordinate plane . what is the value of the area of the figure formed by the intersecting lines and the x - axis ? 
Options: a ) 7.5 , b ) 10 , c ) 12.5 , d ) 15 , e ) 17.5
Answer: c
Input: Problem: how many multiples of 5 are there between 70 and 358 ? 
Options: a ) 54 , b ) 55 , c ) 56 , d ) 57 , e ) 58
Answer: e
Input: Problem: a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1242 . find the number to be multiplied . 
Options: a ) 130 , b ) 132 , c ) 134 , d ) 136 , e ) 138
Answer: e
Input: Problem: how many 4 - digit positive integers are there in which all 4 digits are even ? 
Options: a ) 625 , b ) 600 , c ) 500 , d ) 400 , e ) 256
Answer: c
Input: Problem: in how many ways can the integer 15 be expressed as a product of two different positive integers ? 
Options: a ) 10 , b ) 8 , c ) 5 , d ) 4 , e ) 2
Answer: e
Input: Problem: find the sum of all 2 digit numbers divisible by 3 . 
Options: a ) 1565 , b ) 1665 , c ) 1300 , d ) 1448 , e ) 1465
Answer: b
Input: Problem: a student got 71 % in math and 81 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? 
Options: a ) 63 % , b ) 75 % , c ) 77 % , d ) 79 % , e ) 81 %
Answer: a
Input: Problem: there are , in a certain league , 14 teams , and each team face another team for a total of 5 times . how many games are played in the season ? 
Options: a ) 455 , b ) 525 , c ) 1400 , d ) 180 , e ) 560
Answer: a
Input: Problem: a certain psychologist charges $ 20 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 $ 300 , 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 ) $ 188
Answer: e
Input: Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 16 miles , how many miles was mike ' s ride ? 
Options: a ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48
Answer: b
Input: Problem: in a function , every person shakes hand with every other person . if there was a total of 28 handshakes in the function , how many persons were present in the function ? 
Options: a ) 8 , b ) 7 , c ) 2 , d ) 6 , e ) 5
Answer: a
Input: Problem: a vendor sells 80 percent of the pears he had and throws away 50 percent of the remainder . the next day , the vendor sells 80 percent of the remaining pears and throws away the rest . in total , what percent of his pears does the vendor throw away ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Answer: d
Input: Problem: the tax on a commodity is diminished by 20 % and its consumption increased by 15 % . the effect on revenue is ? 
Options: a ) 9 % decrease , b ) 8 % decrease , c ) 6 % decrease , d ) 1 % decrease , e ) 2 % decrease
Answer: b
Input: Problem: a number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ? 
Options: a ) 160 , b ) 180 , c ) 200 , d ) 220 , e ) none
Answer: c
Input: Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ? 
Options: a ) a ) 3800 , b ) b ) 4200 , c ) c ) 4400 , d ) d ) 4500 , e ) e ) 4600
Answer: a
Input: Problem: if y is a positive number and 1 / 2 the square root of x is the cube root of y , then y = 
Options: a ) 64 , b ) 32 , c ) 16 , d ) 4 , e ) 1
Answer: a
Input: Problem: the average age of a , b and c is 29 years . if the average age of a and c is 32 years , what is the age of b in years ? 
Options: a ) 19 , b ) 35 , c ) 20 , d ) 32 , e ) 23
Answer: e
Input: Problem: if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then √ 11 ¤ √ 11 = 
Options: a ) 44 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Answer: a
Input: Problem: what is the average ( arithmetic mean ) of the numbers 15 , 16 , 17 , 17 , 18 , and 19 ? 
Options: a ) 14.2 , b ) 16.5 , c ) 17 , d ) 17.5 , e ) 18
Answer: c
Input: Problem: for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers w are there between # 6 + 2 and # 6 + 6 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: the average ( arithmetic mean ) of the 5 positive integers k , m , r , s , and t is 16 , and k < m < r < s < t . if t is 30 , what is the greatest possible value of the median of the 5 integers ? 
Options: a ) 16 , b ) 18 , c ) 19 , d ) 20 , e ) 28
Answer: e
Input: Problem: what is the smallest no . which must be added to 532869 so as to obtain a sum which is divisible by 9 ? 
Options: a ) 9 , b ) 2 , c ) 1 , d ) 3 , e ) 6
Answer: d
Input: Problem: in the coordinate plane , points ( x , 2 ) and ( 8 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = 
Options: a ) 8 , b ) 6 , c ) 5 , d ) 3 , e ) 2
Answer: a
Input: Problem: what is the 21 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 7 , e ) 9
Answer: d
Input: Problem: a batsman scored 120 runs which included 6 boundaries and 4 sixes . what % of his total score did he make by running between the wickets 
Options: a ) 40 % , b ) 60 % , c ) 65 % , d ) 70 % , e ) 75 %
Answer: b
Input: 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 q that a + b is prime ? 
Options: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9
Answer: c
Input: Problem: in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.8 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ? 
Options: a ) 122.6 $ , b ) 228.9 $ , c ) 343.7 $ , d ) 395.05 $ , e ) 412.12 $
Answer: d
Input: Problem: a car ferry can hold up to 60 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ? 
Options: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28
Answer: d
Input: Problem: mona and donald fly to rome for the weekend . they take cash only in notes of $ 10 and notes of € 10 . mona carries 3 times the amount of euros donald carries . she also carries as many dollars as donald carries . the number of € 10 notes they take is double the number of $ 10 notes they take . if donald carries a total of 39 notes ( of either $ 10 or € 10 , ) then what is the total number of notes ( of either $ 10 or € 10 , ) they take ? 
Options: a ) 130 , b ) 80 , c ) 100 , d ) 120 , e ) 150
Answer: a
Input: Problem: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 110 . at the same place it would cost $ 164.50 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 ) $ 1 , b ) $ 27 , c ) $ 31 , d ) $ 41 , e ) it can not be determined
Answer: a
Input: Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters f long ? 
Options: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 3
Answer: b
Input: Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.2 kg . the weight of the new student is 
Options: a ) 4 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) none of these
Answer: a
Input: Problem: 1393 x 1393 = ? 
Options: a ) a ) 1951609 , b ) b ) 1951601 , c ) c ) 1940449 , d ) d ) 1951603 , e ) e ) 1951604
Answer: c
Input: Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 250 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? 
Options: a ) 250 / 3 , b ) 750 , c ) 400 , d ) 480 , e ) 600
Answer: b
Input: Problem: the price of lunch for 12 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? 
Options: a ) 11.73 , b ) 12 , c ) 13.8 , d ) 14 , e ) 15
Answer: e
Input: Problem: change the below lagarithm log 255 = 1 / 2 to exponential form 
Options: a ) 5 , b ) 8 , c ) 7 , d ) 10 , e ) 11
Answer: a
Input: Problem: a student got 72 % in math and 82 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? 
Options: a ) 69 % , b ) 71 % , c ) 73 % , d ) 75 % , e ) 77 %
Answer: b
Input: Problem: on dividing 14698 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 ) 165
Answer: e
Input: Problem: the average of first 35 prime numbers is ? 
Options: a ) 14.54 , b ) 15.6 , c ) 15.8 , d ) 14.7 , e ) 14.8
Answer: a
Input: Problem: how many times will the digit 5 be written when listing the integers from 1 to 1000 ? 
Options: a ) 300 , b ) 380 , c ) 180 , d ) 415 , e ) 264
Answer: a
Input: Problem: for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 1 * / 4 * ? 
Options: a ) 5 , b ) 5 / 4 , c ) 4 / 5 , d ) 1 / 4 , e ) 1 / 5
Answer: a
Input: Problem: how many positive integers h less than 10000 are such that the product of their digits is 210 ? 
Options: a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 72
Answer: d
Input: Problem: a house wife saved $ 4 in buying an item on sale . if she spent $ 28 for the item , approximately how much percent she saved in the transaction ? 
Options: a ) 8 % , b ) 13 % , c ) 10 % , d ) 11 % , e ) 12 %
Answer: b
Input: Problem: how many odd prime numbers are there less than 50 ? 
Options: a ) 15 , b ) 1 , c ) 2 , d ) 14 , e ) 17
Answer: d
Input: Problem: the average of 5 numbers id 27 . if one number is excluded , the average becomes 25 . the excluded number is 
Options: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) none
Answer: d
Input: Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 44 meters . how many times did the ball bounce ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 3 , e ) 9
Answer: d
Input: Problem: a football player scores 2 goals in his fifth match thus increasing his average goals score by 0.3 . the total number of goals in his 5 matches would be 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Answer: a
Input: Problem: on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 320,000 ? 
Options: a ) 30 , b ) 16 , c ) 18 , d ) 20 , e ) 24
Answer: a
Input: Problem: if log 4 x + log 4 ( 1 / 6 ) = 1 / 2 then the value of x is ? 
Options: a ) 18 , b ) 24 , c ) 16 , d ) 12 , e ) 10
Answer: d
Input: Problem: if the sum of two numbers is 12 and the sum of their squares is 124 , then the product of the numbers is 
Options: a ) 10 , b ) 44 , c ) 80 , d ) 88 , e ) 90
Answer: a
Input: Problem: a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 10 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ? 
Options: a ) 10 % , b ) 12 % , c ) 14 % , d ) 16 % , e ) 18 %
Answer: b
Input: Problem: a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 4 . what is the sum of the numerator and denominator of the original fraction ? 
Options: a ) 49 , b ) 35 , c ) 56 , d ) 26 , e ) 21
Answer: c
Input: Problem: b alone can do piece of work in 10 days . a alone can do it in 15 days . if the total wages for the work is rs 5000 , how much should b be paid if they work together for the entire duration of the work ? 
Options: a ) 267 , b ) 7 , c ) 76 , d ) 8 , e ) 82
Answer: a
Input: Problem: find the product of the localvalue and absolutevalue of 1 in 20168 ? 
Options: a ) 100 , b ) 110 , c ) 151 , d ) 120 , e ) 140
Answer: a
Input: Problem: find the least number which when divided by 38 and 3 leaves a remainder of 1 in each case . 
Options: a ) 107 , b ) 109 , c ) 111 , d ) 113 , e ) 115
Answer: e
Input: Problem: the sum of three consecutive multiples of 3 is 108 . what is the largest number ? 
Options: a ) 36 , b ) 39 , c ) 33 , d ) 30 , e ) 42
Answer: b
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 3 students is 14 years and that of the other 11 students is 16 years . the age of the 15 th student is 
Options: a ) 9 years , b ) 11 years , c ) 14 years , d ) 7 years , e ) 25 years
Answer: d
Input: Problem: on a test , the boys in the class averaged 90 points and the girls in the class averaged 96 points . if the overall class average was 94 points , what is the ratio of boys to girls in the class ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 3 / 5 , e ) 4 / 5
Answer: a
Input: Problem: each of the integers from 1 to 18 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even 
Options: a ) 19 , b ) 12 , c ) 11 , d ) 10 , e ) 3
Answer: d
Input: Problem: in august , a cricket team that played 120 matches won 26 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? 
Options: a ) 40 , b ) 52 , c ) 65 , d ) 80 , e ) 98
Answer: c
Input: Problem: we define that k @ j is the product of j number from k in increasing order for positive integers k , j . for example , 6 @ 4 = 6 * 7 * 8 * 9 . if a = 2020 and b = 2120 , what is the value w of the ratio a / b ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 1 / 5
Answer: a
Input: Problem: if y is 80 % greater than x , than x is what % less than y ? 
Options: a ) 20 , b ) 25 , c ) 33 1 / 3 , d ) 44 4 / 9 , e ) 80
Answer: d
Input: Problem: in the hillside summer camp there are 50 children . 80 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 10 % of the total number of children in the camp . how many more boys must she bring to make that happen ? 
Options: a ) 55 , b ) 50 , c ) 40 . , d ) 30 . , e ) 25 .
Answer: b
Input: Problem: - 54 x 29 + 100 = ? 
Options: a ) - 1466 , b ) 2801 , c ) - 2801 , d ) - 2071 , e ) none of them
Answer: a
Input: Problem: what is 2 4 / 3 - 3 1 / 4 divided by 2 / 3 - 1 / 6 ? 
Options: a ) 5 / 4 , b ) 2 / 3 , c ) 1 / 6 , d ) 5 / 2 , e ) 1 / 8
Answer: c
Input: Problem: the sum of two numbers is 45 . the sum of their quotient and is reciprocal is 2.05 , the product of the numbers is ? 
Options: a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700
Answer: c
Input: Problem: when 5 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? 
Options: a ) 32 , b ) 150 , c ) 60 , d ) 27 , e ) 11
Answer: b
Input: Problem: there are 2 sections a and b in a class , consisting of 50 and 70 students respectively . if the average weight of section a is 50 kg and that of section b is 70 kg , find the average of the whole class ? 
Options: a ) 50.78 kg , b ) 49.32 kg , c ) 61.67 kg , d ) 69.15 kg , e ) 70.89 kg
Answer: c
Input: Problem: the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 32 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ? 
Options: a ) 17 litres , b ) 21.3 litres , c ) 11 litres , d ) 07 litres , e ) 38 litres
Answer: b
Input: Problem: at a summer camp with 900 participants , 1 / 2 of the campers are aged 8 to 12 . next year , the number of campers aged 8 to 12 will increase by 1 / 3 . after this change , what percentage of the total 900 campers will the 8 - to 12 - year - olds represent ? 
Options: a ) 64 % , b ) 66 2 / 3 % , c ) 62 % , d ) 60 % , e ) 56 %
Answer: b
Input: Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 42 degrees . find the temperature on friday ? 
Options: a ) 34 , b ) 55 , c ) 66 , d ) 81 , e ) 21
Answer: a
Input: Problem: the difference between a number and its 3 - fourth is 100 . what is 25 % of that number ? 
Options: a ) 120 , b ) 100 , c ) 125 , d ) 150 , e ) none of these
Answer: b
Input: Problem: ( 32323 + 7344 + 41330 ) - ( 317 x 91 ) = ? 
Options: a ) 54210 , b ) 54250 , c ) 52150 , d ) none of these , e ) 521500
Answer: c
Input: Problem: there are 60 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 22 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ? 
Options: a ) 20 , b ) 31 , c ) 41 , d ) 53 , e ) 64
Answer: c
Input: Problem: the rate of interest on a sum of money is 3 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occurred on the sum for the total period of 8 years is rs . 540 / - , the sum is 
Options: a ) 1,200 , b ) 1,800 , c ) 2,100 , d ) 2,250 , e ) 2,540
Answer: b
Input: Problem: 5 n + 2 > 12 and 7 n + 2 < 44 ; n must be between which numbers ? 
Options: a ) 1 and 8 , b ) 2 and 6 , c ) 0 and 9 , d ) 2 and 7 , e ) 2 and 9
Answer: b
Input: Problem: the tax on a commodity is diminished by 32 % but its consumption is increased by 12 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 24 %
Answer: e
Input: Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 90 . he was allowed to drop his lowest score . after doing so , his average test score improved to 85 . what is the lowest test score that was dropped ? 
Options: a ) 20 , b ) 25 , c ) 55 , d ) 75 , e ) 80
Answer: d
Input: Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 1.95 ? 
Options: a ) 980 , b ) 1170 , c ) 1530 , d ) 1720 , e ) 1960
Answer: c
Input: Problem: if k is an integer and 0.0010101 x 10 ^ k is greater than 10 , what is the least possible value of k ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: c
Input: Problem: the average of 65 numbers is 40 . if two numbers , 83 and 30 are discarded , then the average of the remaining numbers is nearly 
Options: a ) 28.32 , b ) 39 , c ) 38.78 , d ) 29 , e ) 39.47
Answer: e
Input: Problem: what is the minimum value of | x - 4 | + | x + 7 | + | x - 5 | ? 
Options: a ) - 3 , b ) 3 , c ) 5 , d ) - 12 , e ) 12
Answer: e
Input: Problem: a positive number x is multiplied by 2 , and this product is then divided by 4 . if the positive square root of the result of these two operations equals x , what is the value of x ? 
Options: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 1 / 2
Answer: a
Input: Problem: what is the probability of rolling a total of 5 with a single roll of two fair 6 - sided dice , each with the distinct numbers 1 through 6 on each side ? 
Options: a ) 1 / 12 , b ) 1 / 6 , c ) 2 / 7 , d ) 1 / 3 , e ) 1 / 9
Answer: e
Input: Problem: the ratio 15 : 25 expressed as percent equals to 
Options: a ) 70 % , b ) 60 % , c ) 30 % , d ) 75 % , e ) none of above
Answer: b
Input: Problem: if 225 / 999 = 0.225 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ? 
Options: a ) 9 , b ) 8 , c ) 7 , d ) 6 , e ) 5
Answer: e
Input: Problem: ( 0.96 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.96 ) ( power 2 ) + 0.096 + ( 0.1 ) ( power 2 ) is : 
Options: a ) 0.68 , b ) 0.086 , c ) 0.86 , d ) 0.068 , e ) none of them
Answer: c
Input: Problem: of 70 players on a football team , 40 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 ) 60 , d ) 71 , e ) 92
Answer: c
Input: Problem: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 9 ] * [ 4 ] equivalent to ? 
Options: a ) [ 108 ] , b ) [ 54 ] , c ) [ 36 ] , d ) [ 27 ] , e ) [ 18 ]
Answer: a
Input: Problem: in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 1 : 4 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ? 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6
Answer: d
Input: Problem: find the least number of five digits which is exactly divisible by 12 and 18 ? 
Options: a ) a ) 1080 , b ) b ) 10080 , c ) c ) 10025 , d ) d ) 11080 , e ) e ) 12080
Answer: b
Input: Problem: average expenditure of a person for the first 3 days of a week is rs . 350 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is : 
Options: a ) 350 , b ) 370 , c ) 390 , d ) 430 , e ) none
Answer: c
Input: Problem: if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : 
Options: a ) 50 km , b ) 56 km , c ) 60 km , d ) 70 km , e ) 80 km
Answer: a
Input: Problem: dan ' s age after 20 years will be 7 times his age 4 years ago . what is the present age of dan ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Answer: b
Input: Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 1.20 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? 
Options: a ) $ 255 , b ) $ 275 , c ) $ 510 , d ) $ 612 , e ) $ 2,550
Answer: d
Input: Problem: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 1701 what is the least possible value of k ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: c
Input: Problem: what is the total number of integers between 20 and 70 that are divisible by 2 ? 
Options: a ) 19 , b ) 25 , c ) 24 , d ) 26 , e ) 20
Answer: b
Input: Problem: find 60 / 42 * 4 
Options: a ) 14.7653 , b ) 0.5897 , c ) 3.6974 , d ) 0.3571 , e ) 1.2587
Answer: d
Input: Problem: the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 124 different signs . if the company used 122 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 124 signs ? 
Options: a ) 246 , b ) 248 , c ) 492 , d ) 15,128 , e ) 30,256
Answer: c
Input: Problem: how many boxes do we need if we have to carry 250 apples into boxes that each hold 25 apples ? 
Options: a ) a ) 9 , b ) b ) 5 , c ) c ) 7 , d ) d ) 10 , e ) e ) none of the above
Answer: d
Input: 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
Answer: b
Input: Problem: if n is a prime number greater than 11 , what is the remainder when n ^ 2 is divided by 12 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: b
Input: Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 85 , what is the value of c â ˆ ’ a ? 
Options: a ) 25 , b ) 80 , c ) 90 , d ) 140 , e ) it can not be determined from the information given
Answer: b
Input: Problem: the product of x and y is a constant . if the value of x is increased by 30 % , by what percentage must the value of y be decreased ? 
Options: a ) 16 % , b ) 23.07 % , c ) 25 % , d ) 30 % , e ) 35 %
Answer: b
Input: Problem: if the price of a certain computer increased 30 percent from x dollars to 351 dollars , then 2 x = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700
Answer: a
Input: Problem: how many 3 - digit numbers can be formed from the digits 2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and none of the digits is repeated ? 
Options: a ) 5 , b ) 4 , c ) 20 , d ) 25 , e ) 30
Answer: c
Input: Problem: a library has an average of 540 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : 
Options: a ) 300 , b ) 276 , c ) 290 , d ) 285 , e ) none
Answer: c
Input: Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 12500 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . 
Options: a ) 5113 , b ) 5117 , c ) 5120 , d ) 8119 , e ) 10115
Answer: c
Input: Problem: tough and tricky questions : functions . let a be a positive integer . let n # a equal n ^ ( 2 a ) if a is odd and n ^ ( 3 a ) if a is even . then ( 2 # 3 ) + ( 2 # 3 ) – ( 3 # 3 ) is equal to 
Options: a ) 64 , b ) 82 , c ) 128 , d ) 729 , e ) 1522
Answer: d
Input: Problem: the average weight of a , b and c is 75 kg . if the average weight of a and b be 88 kg and that of b and c be 72 kg , then the weight of b is : 
Options: a ) 60 kg , b ) 59 kg , c ) 62 kg , d ) 63 kg , e ) 61 kg
Answer: d
Input: Problem: the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? 
Options: a ) 87 , b ) 91 , c ) 100 , d ) 96 , e ) 101
Answer: b
Input: Problem: addison high school ’ s senior class has 300 boys and 240 girls . if 60 % of the boys attended the college then 60 % of the total class attended college , what percentage of the girls class attended college ? 
Options: a ) 60 , b ) 50 , c ) 46 , d ) 55.56 , e ) 65
Answer: a
Input: Problem: if a randomly selected non - negative single digit integer is added to { 2 , 3 , 5 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ? 
Options: a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6
Answer: c
Input: 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
Answer: a
Input: Problem: the average age of 4 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is 
Options: a ) 22 , b ) 30 , c ) 99 , d ) 26 , e ) 27
Answer: d
Input: Problem: if x = 2 ^ 8 and x ^ x = 2 ^ k , what is k ? 
Options: a ) 2 ^ 15 , b ) 2 ^ 14 , c ) 2 ^ 13 , d ) 2 ^ 12 , e ) 2 ^ 11
Answer: e
Input: Problem: if the price of gasoline increases by 25 % and a driver intends to spend only 10 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? 
Options: a ) 5 % , b ) 8 % , c ) 10 % , d ) 12 % , e ) 15 %
Answer: d
Input: Problem: what should be the least number to be added to the 11002 number to make it divisible by 11 ? 
Options: a ) 12 , b ) 9 , c ) 18 , d ) 77 , e ) 26
Answer: b
Input: Problem: when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 3 times , what is the probability that it will land twice on heads and once on tails ? 
Options: a ) 1 / 16 , b ) 1 / 3 , c ) 1 / 6 , d ) 1 / 2 , e ) 1 / 8
Answer: e
Input: Problem: when asked what the time is , a person answered that the amount of time left is 1 / 3 of the time already completed . what is the time . 
Options: a ) 2 pm , b ) 9 pm , c ) 3 pm , d ) 8 pm , e ) 6 pm
Answer: e
Input: Problem: solve below question 2 x - 1 = 17 
Options: a ) - 8 , b ) - 9 , c ) - 5 , d ) - 4 , e ) 9
Answer: e
Input: Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? 
Options: a ) 320 $ , b ) 380 $ , c ) 420 $ , d ) 450 $ , e ) 480 $
Answer: d
Input: Problem: there are 200 female managers in a certain company . find the total number of female employees q in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . 
Options: a ) q = 300 , b ) q = 400 , c ) q = 500 , d ) q = 600 , e ) none of these
Answer: c
Input: Problem: a man purchased earphone on friday . but he forgot how much it cost . the data he have are mean expenditure of all 7 days is 500 . expenditure on mon , tue , wed , thurs , sat , sun are 450600 , 400500 , 550300 . on friday he purchased 3 things one earphone , one pen and one notebook . pen cost 30 and notebook cost 50 . then what is cost of earphone ? 
Options: a ) 620 , b ) 530 , c ) 450 , d ) 470 , e ) 500
Answer: a
Input: Problem: if 222 = 6 333 = 12 444 = 20 then , 555 = ? ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Answer: a
Input: Problem: the average height of 20 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 111 cm . what was the actual average height of the students in the class ? 
Options: a ) 174 cm , b ) 173 cm , c ) 172 cm , d ) 171 cm , e ) 170 cm
Answer: b
Input: Problem: if the number is divided by 3 , it reduced by 30 . the number is 
Options: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 40 , e ) e ) 36
Answer: c
Input: Problem: 653 ã — 1001 = ? 
Options: a ) 649011 , b ) 540041 , c ) 654321 , d ) 653001 , e ) 643001
Answer: d
Input: Problem: if 213 × 16 = 3408 , then 0.016 × 2.13 is equal to : 
Options: a ) 0.3408 , b ) 3.408 , c ) 34.08 , d ) 340.8 , e ) 0.03408
Answer: e
Input: Problem: the smallest number which when diminished by 6 , is divisible by 12 , 16 , 18 , 21 and 28 is 
Options: a ) 1008 , b ) 1014 , c ) 1022 , d ) 1032 , e ) 1043
Answer: b
Input: Problem: what is the remainder when 1201 × 1202 × 1203 × 1204 is divided by 6 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: find the slope of the line perpendicular to the line y = ( 1 / 3 ) x - 7 
Options: a ) - 1 , b ) - 4 , c ) - 3 , d ) 0 , e ) - 5
Answer: c
Input: Problem: sophia finished 2 / 3 of a book . she calculated that she finished 30 more pages than she has yet to read . how long is her book ? 
Options: a ) a ) 90 , b ) b ) 150 , c ) c ) 130 , d ) d ) 190 , e ) e ) 210
Answer: a
Input: Problem: the ratio of petrol and kerosene in the container is 3 : 2 when 10 liters of the mixture is taken out and is replaced by the kerosene , the ratio become 2 : 3 . then total quantity of the mixture in the container is : 
Options: a ) 33 , b ) 30 , c ) 38 , d ) 37 , e ) 27
Answer: b
Input: Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 20 positive perfect squares ? 
Options: a ) 1,010 , b ) 1,164 , c ) 1,240 , d ) 2,316 , e ) 2,870
Answer: e
Input: Problem: machine m , n , o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units . machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units . if all 3 machines are working simultaneously , what fraction of the total output is produced by machine n ? 
Options: a ) 1 / 2 , b ) 7 / 13 , c ) 4 / 13 , d ) 8 / 29 , e ) 6 / 33
Answer: b
Input: Problem: what is the total number of positive integers that are less than 200 and that have no positive factor in common with 200 other than 1 ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Answer: c
Input: Problem: a bag of potatoes weighs 16 kg divided by a quarter of its weight . how much does the bag weigh ? 
Options: a ) 4 kg , b ) 8 kg , c ) 7 kg , d ) 3 kg , e ) 9 kg
Answer: b
Input: Problem: a man whose speed is 3.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ? 
Options: a ) 2.0 , b ) 2.5 , c ) 3.0 , d ) 2.1 , e ) 4.0
Answer: e
Input: Problem: the average of temperatures at noontime from monday to friday is 25 ; the lowest one is 15 , what is the possible maximum range of the temperatures ? 
Options: a ) 20 , b ) 25 , c ) 50 , d ) 45 , e ) 75
Answer: c
Input: Problem: a certain scholarship committee awarded scholarships in the amounts of $ 1250 , $ 2500 and $ 4000 . the committee awarded twice as many $ 2500 scholarships as $ 4000 and it awarded 3 times as many $ 1250 scholarships as $ 2500 scholarships . if the total of $ 75000 was awarded in $ 1250 scholarships , how many $ 4000 scholarships were awarded ? 
Options: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 15
Answer: d
Input: Problem: the simple interest on a sum of money will be rs . 600 after 10 years . if the principal is trebled after 5 years , what will be the total interest at the end of the tenth year ? 
Options: a ) rs . 600 , b ) rs . 900 , c ) 1200 rupees , d ) rs . 1500 , e ) none
Answer: c
Input: Problem: if p / q = 4 / 5 , then the value of 11 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ? 
Options: a ) 3 / 7 , b ) 34 , c ) 1 , d ) 2 , e ) 3
Answer: d
Input: Problem: if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a ∪ b ) = 6 / 15 find p ( a | b ) 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 2 , d ) 4 / 5 , e ) 4 / 7
Answer: c
Input: Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1346 , c ) 1378 , d ) 1635 , e ) 1489
Answer: d
Input: Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 9 will be equal to : 
Options: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9
Answer: c
Input: Problem: 1394 x 1394 = ? 
Options: a ) a ) 1951609 , b ) b ) 1951601 , c ) c ) 1951602 , d ) d ) 1943236 , e ) e ) 1951604
Answer: d
Input: Problem: if m is a positive integer and m ^ 2 is divisible by 36 , then the largest positive integer that must divide m is ? 
Options: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 16
Answer: d
Input: Problem: the average of 7 numbers is 24 . if each number be multiplied by 5 . find the average of new set of numbers ? 
Options: a ) 110 , b ) 122 , c ) 120 , d ) 125 , e ) 145
Answer: c
Input: Problem: suraj has a certain average of runs for 12 innings . in the 13 th innings he scores 96 runs thereby increasing his average by 5 runs . what is his average after the 13 th innings ? 
Options: a ) 48 , b ) 64 , c ) 36 , d ) 72 , e ) 27
Answer: c
Input: Problem: ashok secured average of 75 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 ) 99 , d ) 17 , e ) 80
Answer: e
Input: Problem: the tax on a commodity is diminished by 22 % and its consumption increased by 11 % . the effect on revenue is ? 
Options: a ) 8 , b ) 6 , c ) 5 , d ) 4 , e ) 2
Answer: e
Input: Problem: how many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number ? 
Options: a ) 4 , b ) 8 , c ) 11 , d ) 12 , e ) 15
Answer: b
Input: Problem: a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.1 % on a company ’ s payroll above $ 200,000 . if belfried industries paid $ 400 in this special municipal payroll tax , then they must have had a payroll of ? 
Options: a ) $ 180,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 400,000 , e ) $ 600,000
Answer: e
Input: Problem: in a can , there is a mixture of milk and water in the ratio 3 : 7 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 7 . find the capacity of the can ? 
Options: a ) 16.6 , b ) 44 , c ) 27 , d ) 50 , e ) 56
Answer: a
Input: Problem: the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25 , then x = 
Options: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 65
Answer: e
Input: Problem: what is the sum of all the multiples of 10 between 0 and 99 ? 
Options: a ) 500 , b ) 620 , c ) 450 , d ) 340 , e ) 440
Answer: c
Input: Problem: a car travels uphill at 30 km / hr and downhill at 60 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? 
Options: a ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph
Answer: e
Input: Problem: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this order y ? ( 1 cubic meter = 1000 liters ) 
Options: a ) 92 , b ) 90 , c ) 82 , d ) 78 , e ) 75
Answer: e
Input: Problem: at a monthly meeting , 1 / 3 of the attendees were males and 4 / 5 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ? 
Options: a ) 1 / 6 , b ) 2 / 15 , c ) 3 / 20 , d ) 7 / 30 , e ) 8 / 45
Answer: e
Input: Problem: ( 4300231 ) - ? = 2535618 
Options: a ) 1865113 , b ) 1775123 , c ) 1764613 , d ) 1675123 , e ) none of them
Answer: c
Input: Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 752 in total compensation , how many total hours did he work that week ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52
Answer: c
Input: Problem: a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.08 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the fourth day it is overdue ? 
Options: a ) $ 0.62 , b ) $ 0.70 , c ) $ 0.80 , d ) $ 0.90 , e ) $ 1.00
Answer: a
Input: Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? 
Options: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 23
Answer: d
Input: Problem: peter and tom shared the driving on a certain trip . if peter and tom both drove for the same amount of time , but peter only drove 2 / 5 of the total distance , what was the ratio of tom ' s average speed to peter ' s average speed ? 
Options: a ) 1 : 5 , b ) 2 : 5 , c ) 1 : 2 , d ) 3 : 2 , e ) 2 : 3
Answer: d
Input: Problem: ( 0.15 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.015 + ( 0.1 ) ( power 2 ) is : 
Options: a ) 0.68 , b ) 0.08 , c ) 0.05 , d ) 0.06 , e ) none of them
Answer: c
Input: Problem: if x is a positive integer with fewer than 3 digits , what is the probability w that x * ( x + 1 ) is a multiple of either 4 or 5 ? 
Options: a ) 4 / 99 , b ) 2 / 25 , c ) 8 / 99 , d ) 49 / 100 , e ) 86 / 99
Answer: e
Input: Problem: a number x is 6 times another number y . the percentage that y is less than x is 
Options: a ) 12.5 % , b ) 83.3 % , c ) 80 % , d ) 11 % , e ) 1 %
Answer: b
Input: Problem: what is the smallest positive integer k such that the product of 720 x k is a perfect square ? 
Options: a ) 5 , b ) 9 , c ) 15 , d ) 25 , e ) 63
Answer: a
Input: Problem: what is the 28 th digit to the right of the decimal point in the decimal form of 5 / 11 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: a profit of rs . 900 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ? 
Options: a ) s . 280 , b ) s . 180 , c ) s . 380 , d ) s . 50 , e ) s . 90
Answer: b
Input: Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 9.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ? 
Options: a ) $ 4.50 , b ) $ 5.10 , c ) $ 9.30 , d ) $ 5.50 , e ) $ 5.60
Answer: c
Input: Problem: a bakery has 6 employees . it pays annual salaries of $ 15,000 to each of 2 employees , $ 17,000 to 1 employee , and $ 18,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? 
Options: a ) $ 16,200 , b ) $ 16,500 , c ) $ 16,800 , d ) $ 17,000 , e ) $ 17,400
Answer: c
Input: Problem: find 103 × × 10 
Options: a ) 106 / 19 , b ) 108 / 12 , c ) 108 / 19 , d ) 108 / 15 , e ) 108 / 11
Answer: d
Input: Problem: mike earns $ 17.5 per hour and phil earns $ 10.5 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? 
Options: a ) 25 % , b ) 32.5 % , c ) 37 % , d ) 37.5 % , e ) 40 %
Answer: e
Input: 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
Answer: a
Input: Problem: in a forest 150 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 20 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? 
Options: a ) 150 , b ) 6,000 , c ) 1,250 , d ) 1,500 , e ) 2,500
Answer: b
Input: Problem: find the product of the localvalue and absolutevalue of 3 in 20368 ? 
Options: a ) 1000 , b ) 1100 , c ) 1200 , d ) 900 , e ) 10000
Answer: d
Input: Problem: let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 6 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? 
Options: a ) - 6 , b ) - 1 , c ) 0 , d ) 1 , e ) 6
Answer: a
Input: Problem: if you multiply two integers together and then add 4 , the result is 40 . which of the following could not be the sum of the two numbers ? 
Options: a ) 12 , b ) 13 , c ) 15 , d ) 18 , e ) 20
Answer: d
Input: Problem: . 009 / ? = . 01 
Options: a ) . 9 , b ) . 09 , c ) . 009 , d ) . 0009 , e ) none of them
Answer: a
Input: Problem: the average weight of 6 person ' s increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? 
Options: a ) 160 kg , b ) 175 kg , c ) 180 kg , d ) 102 kg , e ) 190 kg
Answer: d
Input: Problem: a two - digit number is such that the product of the digits is 8 . when 18 is added to the number , then the digits are reversed . the number is : 
Options: a ) 32 , b ) 24 , c ) 12 , d ) 7 , e ) 45
Answer: b
Input: Problem: the average of 5 quantities is 6 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? 
Options: a ) 9 , b ) 10 , c ) 8 , d ) 9.5 , e ) none of these
Answer: a
Input: Problem: on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent t of thatbeforejuly 1 last year ? 
Options: a ) 90 % , b ) 99 % , c ) 100 % , d ) 101 % , e ) 110 %
Answer: b
Input: Problem: find the greatest number that will divide 48 , 210 and 136 leaving 4 , 12 and 4 as remainders respectively 
Options: a ) 19 , b ) 17 , c ) 13 , d ) 22 , e ) 21
Answer: d
Input: Problem: if rs . 544 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? 
Options: a ) s . 300 , b ) s . 360 , c ) s . 389 , d ) s . 384 , e ) s . 323
Answer: d
Input: Problem: every student in a room is either a junior or a senior . there is at least one junior and at least one senior in the room . if 4 / 5 of the juniors is equal to 1 / 2 of the seniors , what fraction of the students in the room are juniors ? 
Options: a ) 13 / 20 , b ) 11 / 3 , c ) 5 / 13 , d ) 12 / 17 , e ) 17 / 20
Answer: c
Input: Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 23000 , my total savings for the two - year is 
Options: a ) s . 8000 , b ) s . 9000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000
Answer: a
Input: Problem: in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 36000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500
Answer: a
Input: Problem: x and y are both integers . if x / y = 59.60 , then what is the sum of all the possible two digit remainders of x / y ? 
Options: a ) 560 , b ) 315 , c ) 672 , d ) 900 , e ) 1024
Answer: b
Input: Problem: 3 x + y = 21 , and x + 3 y = 1 . find the value of 2 x + 2 y 
Options: a ) 20 , b ) 18 , c ) 16 , d ) 11 , e ) 5
Answer: d
Input: Problem: when x is multiplied by 3 , the result is 20 more than the result of subtracting x from 20 . what is the value of x ? 
Options: a ) 10 , b ) - 2 , c ) 11 , d ) 13 , e ) 22
Answer: a