Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a merchant gains or loses , in a bargain , a certain sum . in a second bargain , he gains 380 dollars , and , in a third , loses 70 . in the end he finds he has gained 250 dollars , by the 3 together . how much did he gain or lose bv the first ? 
Options: a ) 80 , b ) 60 , c ) - 60 , d ) - 70 , e ) none
Answer: c
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 70 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %
Answer: b
Input: Problem: when a number is divided by 6 & then multiply by 12 the answer is 9 what is the no . ? 
Options: a ) 4.5 , b ) 5 , c ) 5.5 , d ) 5.8 , e ) 6
Answer: a
Input: Problem: all the students of class are told to sit in circle shape . here the boy at the 5 th position is exactly opposite to 20 th boy . total number of boys in the class ? 
Options: a ) 30 , b ) 40 , c ) 45 , d ) 25 , e ) 20
Answer: a
Input: Problem: divide $ 5000 among x , y in the ratio 2 : 8 . how many $ that x get ? 
Options: a ) $ 1000 , b ) $ 1050 , c ) $ 1100 , d ) $ 1150 , e ) $ 1200
Answer: a
Input: Problem: if x - y - z = 03 x + 4 y + 3 z = 45 x + 2 y + 7 z = 22 , what is the value of z ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 2 , e ) 1
Answer: a
Input: Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 4 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 5 / 6 , e ) 7 / 8
Answer: a
Input: Problem: suppose that f ( x ) is a function such that for every real number x , i ) f ( x ) + f ( 1 - x ) = 10 and ( ii ) f ( 1 + x ) = 3 + f ( x ) . then f ( x ) + f ( - x ) must equal 
Options: a ) 7 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: a
Input: Problem: in how many no . between 10 and 20 exactly two of the digits is 1 ? 
Options: a ) 25 , b ) 35 , c ) 10 , d ) 1 , e ) 15
Answer: d
Input: Problem: ? x 48 = 173 x 240 
Options: a ) 545 , b ) 685 , c ) 865 , d ) 495 , e ) 534
Answer: c
Input: Problem: what two - digit number is less than the sum of the square of its digits by 12 and exceeds their doubled product by 5 ? 
Options: a ) 95 , b ) 99 , c ) 26 , d ) 73 , e ) none of the above
Answer: b
Input: Problem: if ( 27 / 4 ) x - 18 = 3 x + 27 what is the value of x ? 
Options: a ) 12 , b ) - 12 , c ) 1 / 12 , d ) - 1 / 12 , e ) 3
Answer: a
Input: Problem: by how much does the larger root of the equation 2 q ^ 2 + 5 q = 12 exceed the smaller root ? 
Options: a ) 5 / 2 , b ) 10 / 3 , c ) 7 / 2 , d ) 14 / 3 , e ) 11 / 2
Answer: e
Input: Problem: sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 7000 ? 
Options: a ) 4966 , b ) 2477 , c ) 2877 , d ) 7991 , e ) 8881
Answer: d
Input: Problem: the average age of a group of persons going for picnic is 16 years . 12 new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years . the number of persons initially going for picnic is 
Options: a ) 5 , b ) 10 , c ) 12 , d ) 40 , e ) 50
Answer: c
Input: Problem: # p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = - 4 ? 
Options: a ) – 108 , b ) – 44 , c ) 10 , d ) - 18 , e ) 18
Answer: d
Input: Problem: a small pool filled only with water will require an additional 500 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 500 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? 
Options: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 1875
Answer: e
Input: Problem: if jake loses 32 pounds , he will weigh twice as much as his sister . together they now weigh 212 pounds . what is jake ’ s present weight , in pounds ? 
Options: a ) 131 , b ) 135 , c ) 139 , d ) 152 , e ) 188
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 15 times as heavy as water ? 
Options: a ) 3 : 2 , b ) 3 : 8 , c ) 5 : 7 , d ) 3 : 7 , e ) 3 : 6
Answer: a
Input: Problem: let n ~ be defined for all positive integers n as the remainder when ( n - 1 ) ! is divided by n . what is the value of 30 ~ ? 
Options: a ) 1 , b ) 0 , c ) 2 , d ) 8 , e ) 31
Answer: b
Input: Problem: every year an amount increases by 1 / 6 th of itself . how much will it be after two years if its present value is rs . 64000 ? 
Options: a ) 87111 , b ) 81007 , c ) 81008 , d ) 81066 , e ) 81022
Answer: a
Input: Problem: find value for x from given equation ? x + 1 = - 3 
Options: a ) 1 , b ) x = - 4 , c ) - 3 , d ) - 5 , e ) 5
Answer: b
Input: Problem: there are 11 baskets numbered from 1 to 11 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ? 
Options: a ) 180 , b ) 220 , c ) 260 , d ) 300 , e ) 340
Answer: e
Input: Problem: n is a positive integer . when n + 1 is divided by 3 , the remainder is 2 . what is the remainder when n is divided by 3 ? 
Options: a ) 1 , b ) 5 , c ) 4 , d ) 3 , e ) 2
Answer: a
Input: Problem: if 7 ^ q is a factor of the product of the integers from 1 to 100 , inclusive , what is the largest value of q ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: e
Input: Problem: in a weight - lifting competition , the total weight of joe ' s two lifts was 900 pounds . if twice the weight of his first lift was 300 pounds more than the weight of his second lift , what was the weight , in pounds , of his first lift ? 
Options: a ) 225 , b ) 275 , c ) 325 , d ) 350 , e ) 400
Answer: e
Input: Problem: a certain number when divided by 50 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Answer: b
Input: Problem: a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 160 . find the unknown rate of two blankets ? 
Options: a ) 420 , b ) 550 , c ) 490 , d ) 450 , e ) 457
Answer: b
Input: Problem: of the 250 employees at company x , 80 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ? 
Options: a ) 20 , b ) 30 , c ) 50 , d ) 80 , e ) 100
Answer: e
Input: Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what z percent of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Answer: c
Input: Problem: the average weight of 24 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . 
Options: a ) 48.975 , b ) 42.255 , c ) 50 , d ) 51.255 , e ) 52.253
Answer: a
Input: Problem: 3 - 5 * 6 + 2 = 
Options: a ) a ) 2 , b ) b ) - 13 , c ) c ) - 18 , d ) d ) - 17 , e ) e ) - 25
Answer: e
Input: Problem: the average of first 25 prime numbers is ? 
Options: a ) 9.9 , b ) 8.8 , c ) 5.6 , d ) 11.9 , e ) 11.11
Answer: e
Input: Problem: if x and y are positive integers and 9 + x + y + xy = 23 , what is the value of x + y ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Answer: c
Input: Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 200 that is both a prime and a palindrome . what is the sum of the digits of p ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? 
Options: a ) 74 % , b ) 75 % , c ) 67 % , d ) 72 % , e ) none
Answer: c
Input: Problem: the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 15 terms of the arithmetic progression ? 
Options: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 9 , e ) 1 / 9
Answer: c
Input: Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.3 times as old as robert ? 
Options: a ) 1960 , b ) 1965 , c ) 1970 , d ) 1975 , e ) 2040
Answer: e
Input: Problem: a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 750 more than that by the previous schema , his sales were worth ? 
Options: a ) s . 4,000 , b ) s . 6,000 , c ) s . 30,000 , d ) s . 40,000 , e ) s . 50,000
Answer: b
Input: Problem: 3 pounds of 05 grass seed contain 1 percent herbicide . a different type of grass seed , 20 , which contains 20 percent herbicide , will be mixed with 3 pounds of 05 grass seed . how much grass seed of type 20 should be added to the 3 pounds of 05 grass seed so that the mixture contains 15 percent herbicide ? 
Options: a ) 3 , b ) 3.75 , c ) 4.5 , d ) 8.4 , e ) 9
Answer: d
Input: Problem: a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 20 % . what is his average speed for both the trips ? 
Options: a ) 33 , b ) 77 , c ) 48 , d ) 66 , e ) 21
Answer: d
Input: Problem: how many even number in the range between 25 to 100 inclusive are not divisible by 3 
Options: a ) 27 , b ) 30 , c ) 31 , d ) 33 , e ) 46
Answer: a
Input: Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? 
Options: a ) $ 35,000 , b ) $ 40,000 , c ) $ 55,000 , d ) $ 65,000 , e ) $ 75,000
Answer: b
Input: Problem: the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 1,080 ? 
Options: a ) 13 , b ) 10 , c ) 9 , d ) 7 , e ) 6
Answer: b
Input: Problem: what is theleast number should be added to 1056 , so the sum of the number is completely divisible by 23 ? 
Options: a ) 20 , b ) 23 , c ) 25 , d ) 27 , e ) 28
Answer: b
Input: Problem: if x is real , find the maximum value of the expression - 2 x ^ 2 + 5 x + 7 . 
Options: a ) 6.125 , b ) 8.125 , c ) 10.125 , d ) 12.125 , e ) 14.125
Answer: c
Input: Problem: n is the greatest number which divides 1305 , 4665 and 6905 and gives the same remainder in each case . what is the sum of the digits in n ? 
Options: a ) 23 , b ) 28 , c ) 4 , d ) 1 , e ) 25
Answer: c
Input: Problem: a company that ships boxes to a total of 12 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of colors in a pair does not matter ) 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) 24
Answer: b
Input: Problem: in a hostel , the number of students decreased by 10 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? 
Options: a ) 19 % , b ) 15 % , c ) 25 % , d ) 40 % , e ) 7.4 %
Answer: e
Input: Problem: if 80 percent of 600 is 50 percent of x , then x = ? 
Options: a ) 960 , b ) 1000 , c ) 1020 , d ) 1080 , e ) 1075
Answer: a
Input: Problem: john purchased some shirts and trousers for $ 700 . he paid $ 400 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 11
Answer: e
Input: Problem: at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 2 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ? 
Options: a ) $ 0.50 , b ) $ 1.00 , c ) $ 1.25 , d ) $ 1.50 , e ) $ 1.75
Answer: e
Input: Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: b
Input: Problem: after 6 games , team b had an average of 70 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ? 
Options: a ) 85 , b ) 74 , c ) 67 , d ) 33 , e ) 28
Answer: d
Input: Problem: peter takes a loan of $ 100000 with 12 % annual interest : the interest is paid once , at the end of the year . martha takes a loan of $ 100000 with 12 % annual interest , compounding monthly at the end of each month . at the end of one full year , compared to peter ' s loan interest , approximately how much more does martha have to repay ? 
Options: a ) $ 68.25 , b ) zero , c ) $ 6825.00 , d ) $ 6.82 , e ) $ 682.50
Answer: e
Input: Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets 1000 more than d , what is b ’ s share ? 
Options: a ) 500 , b ) 1500 , c ) 2000 , d ) 1400 , e ) none of these
Answer: c
Input: Problem: if h = { 1 , 7 , 18 , 20 , 29 , 33 } , how much less is the mean of the numbers in h than the median of the numbers in h ? 
Options: a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0
Answer: a
Input: Problem: diana took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 75 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? 
Options: a ) $ 79.25 , b ) $ 79.50 , c ) $ 79.75 , d ) $ 80.00 , e ) $ 80.25
Answer: e
Input: Problem: if x ^ 2 + y ^ 2 = 13 and xy = 3 , then ( x − y ) ^ 2 = 
Options: a ) 7 , b ) 11 , c ) 14 , d ) 17 , e ) 20
Answer: a
Input: Problem: david obtained 70 , 60 , 78 , 60 and 65 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ? 
Options: a ) 75 , b ) 27.6 , c ) 66.6 , d ) 16.5 , e ) 11
Answer: c
Input: Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what x percent of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Answer: c
Input: Problem: the difference between two numbers is 1356 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is 
Options: a ) 240 , b ) 270 , c ) 295 , d ) 360 , e ) 340
Answer: b
Input: Problem: the revenue from sales items in 1996 increases by x percent , compared in 1995 and the revenue in 1997 decreases by x percent , compared in 1996 . if the revenue from sales items in 1997 decreases by 4 percent , compared in 1995 , what is the value of x ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 30 , e ) 35
Answer: c
Input: Problem: 1.5 , 2.5 , 4.5 , 7.5 , 11.5 , ( . . . . ) 
Options: a ) 16.5 , b ) 15.5 , c ) 14.5 , d ) 17.5 , e ) 17
Answer: a
Input: Problem: if ( 4 - x ) / ( 3 + x ) = x , what is the value of x ^ 2 + 4 x - 4 ? 
Options: a ) - 4 , b ) - 1 , c ) 0 , d ) 1 , e ) 4
Answer: c
Input: Problem: in a simultaneous throw of a pair of dice , find the probability of getting a total more than 9 
Options: a ) 1 / 2 , b ) 7 / 18 , c ) 5 / 13 , d ) 5 / 12 , e ) 6 / 17
Answer: b
Input: Problem: if x and y are numbers such that ( x + 4 ) ( y - 4 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 
Options: a ) 0 , b ) 9 , c ) 12 , d ) 16 , e ) 18
Answer: d
Input: Problem: two trains leave the train station at the same time . one train , on the blue line , heads east - while the other , on the red line , heads west . if the train on the blue line averages 40 km / hr and the other train averages 40 km / hr - how long will it take for the trains to be 100 km apart ? 
Options: a ) 2 hours , b ) 2.25 hours , c ) 1 hour , d ) 1.25 hours , e ) not enough information
Answer: d
Input: Problem: the average age of 42 students in a group is 16 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ? 
Options: a ) 31 , b ) 56 , c ) 41 , d ) 59 , e ) none
Answer: d
Input: Problem: solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21 ? 
Options: a ) - 1 , b ) 77 , c ) 8 , d ) 3 , e ) 2
Answer: a
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years , the ratio of the number of boys to the number of girls in the class is 
Options: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5
Answer: b
Input: Problem: what is the sum of the multiples of 6 from 48 to 72 , inclusive ? 
Options: a ) 500 , b ) 600 , c ) 700 , d ) 300 , e ) 400
Answer: d
Input: Problem: two employees x and y are paid a total of rs . 590 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? 
Options: a ) s . 268 , b ) s . 288 , c ) s . 298 , d ) s . 300 , e ) s . 388
Answer: a
Input: Problem: what is the ratio of 3 / 7 to the product 2 * ( 7 / 3 ) ? 
Options: a ) 3 : 7 , b ) 9 : 98 , c ) 3 : 21 , d ) 1 : 7 , e ) 3 : 49
Answer: b
Input: Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 51 . what is that number 
Options: a ) 4 , b ) 10 , c ) 12 , d ) 14 , e ) 15
Answer: a
Input: Problem: how many even integers n , such that 20 < = n < = 180 are of the form 3 k + 4 , where k is any natural number ? 
Options: a ) 24 , b ) 27 , c ) 30 , d ) 33 , e ) 36
Answer: b
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 65 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 ) 528 $
Answer: e
Input: Problem: ( 3080 + 6160 ) / 28 
Options: a ) 380 , b ) 350 , c ) 330 , d ) 310 , e ) none of these
Answer: c
Input: Problem: patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils . the cost of 60 pencils is how many times the selling price of 60 pencils ? 
Options: a ) 0.75 , b ) 0.8 , c ) 1 , d ) 1.33 , e ) 1.75
Answer: d
Input: Problem: in digging a pond 20 m * 12 m * 5 m the volumes of the soil extracted will be ? 
Options: a ) 3387 , b ) 1000 , c ) 1200 , d ) 2787 , e ) 1121
Answer: c
Input: Problem: a rainstorm increased the amount of water stored in state j reservoirs from 125 billion gallons to 150 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? 
Options: a ) 9 , b ) 14 , c ) 25 , d ) 30 , e ) 44
Answer: e
Input: Problem: george baked a total of 75 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ? 
Options: a ) 5 , b ) 4 , c ) 2 , d ) 6 , e ) 7
Answer: c
Input: Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container q ? 
Options: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42
Answer: c
Input: Problem: if 3 x – 5 y = 5 and x / x + y = 5 / 7 , then what is the value of x – y ? 
Options: a ) 9 , b ) 6 , c ) 4 , d ) 3 , e ) none of these
Answer: d
Input: Problem: q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years , what is definitely the difference between r and q ' s age ? 
Options: a ) 23 , b ) 28 , c ) 25 , d ) 19 , e ) 11
Answer: c
Input: Problem: if k is a non - negative integer and 15 ^ k is a divisor of 823,435 then 5 ^ k - k ^ 5 = 
Options: a ) 0 , b ) 1 , c ) 35 , d ) 120 , e ) 245
Answer: b
Input: Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 8 ? 
Options: a ) 397 , b ) 401 , c ) 403 , d ) 405 , e ) 399
Answer: b
Input: Problem: ( 6 ! - 4 ! ) / 5 ! = ? 
Options: a ) 29 / 5 , b ) 28 / 3 , c ) 27 / 6 , d ) 25 / 4 , e ) 29 / 6
Answer: a
Input: Problem: a positive number x is multiplied by 7 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? 
Options: a ) 7 / 3 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 1 / 2
Answer: a
Input: Problem: ( 3 x + 2 ) ( 2 x - 7 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? 
Options: a ) 3 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: a
Input: Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 10000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 14
Answer: e
Input: Problem: a student got 74 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? 
Options: a ) 61 % , b ) 63 % , c ) 65 % , d ) 67 % , e ) 69 %
Answer: d
Input: Problem: a bucket contains 2 mixtures a and b in the ratio 3 : 2 . if 5 liters of the mixture is replaced by 5 liters of liquid b , then the ratio of the two liquids becomes 3 : 5 . how much of the liquid a was there in the bucket ? 
Options: a ) 8 liters , b ) 10 liters , c ) 12 liters , d ) 15 liters , e ) 18 liters
Answer: a
Input: Problem: find the value of 80641 x 9999 = m ? 
Options: a ) 807518799 , b ) 806436469 , c ) 807538799 , d ) 806329359 , e ) 817431046
Answer: d
Input: Problem: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3312 , how much was it in the beginning ? 
Options: a ) a ) 3800 , b ) b ) 4200 , c ) c ) 4400 , d ) d ) 4500 , e ) e ) 4600
Answer: e
Input: Problem: the average of temperatures at noontime from monday to friday is 40 ; the lowest one is 30 , what is the possible maximum range of the temperatures ? 
Options: a ) 20 , b ) 25 , c ) 50 , d ) 45 , e ) 75
Answer: c
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 . 12 of money ? 
Options: a ) 1200 , b ) 1992 , c ) 9921 , d ) 2798 , e ) 2789
Answer: a
Input: Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction q of the total distance did he cover while the sun was shining on him ? 
Options: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7
Answer: e
Input: Problem: city x has a population 5 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ? 
Options: a ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 4 : 1 , e ) 10 : 1
Answer: e
Input: Problem: the tax on a commodity is diminished by 10 % and its consumption increases by 10 % . find the effects on revenue ? 
Options: a ) 1 % decrease , b ) 2 % increase , c ) 3 % decrease , d ) 4 % decrease , e ) none of these
Answer: a
Input: Problem: a bowl of nuts is prepared for a party . brand p mixed nuts are 20 % almonds and brand q ' s deluxe nuts are 25 % almonds . if a bowl contains a total of 65 ounces of nuts , representing a mixture of both brands , and 15 ounces of the mixture are almonds , how many ounces of brand q ' s deluxe mixed nuts are used ? 
Options: a ) 16 , b ) 20 , c ) 32 , d ) 40 , e ) 48
Answer: d
Input: Problem: how many multiples of 2 are there between 1 and 58 , exclusive ? 
Options: a ) 21 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Answer: e
Input: Problem: the difference between the place value and the face value of 4 in the numeral 854973 is 
Options: a ) 973 , b ) 6973 , c ) 3996 , d ) 6084 , e ) none of these
Answer: c
Input: Problem: if 6 / w + 6 / x = 6 / 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: an astronomer noted that a grouping of red giant stars had an average solar mass of 8 m each , and a grouping of white dwarf stars had an average solar mass of 1.5 m each . if the astronomer calculated the total solar mass of both groupings to be 49 m , what total number of red giant stars and white dwarf stars did the astronomer note ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: b
Input: Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 83 , and the average of the female students ’ grades was 92 , how many female students took the test ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 21 , e ) 28
Answer: e
Input: Problem: ' a ' and ' b ' are positive integers such that their lcm is 20 and their hcf is 1 . what is the addition of the maximum and minimum possible values of ' a + b ' ? 
Options: a ) 28 , b ) 30 , c ) 22 , d ) 20 , e ) 32
Answer: b
Input: Problem: when a certain number x is divided by 84 , the remainder is 25 . what is the remainder when x is divided by 14 ? 
Options: a ) 10 , b ) 8 , c ) 9 , d ) 5 , e ) 11
Answer: e
Input: Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 10 = f ( x – 2 ) ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: the contents of a certain box consist of 72 apples and 30 oranges . how many oranges must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ? 
Options: a ) 68 , b ) 78 , c ) 88 , d ) 138 , e ) 108
Answer: d
Input: Problem: rahim bought 65 books for rs . 1150 from one shop and 50 books for rs . 920 from another . what is the average price he paid per book ? 
Options: a ) rs . 17 , b ) rs . 18 , c ) rs . 12 , d ) rs . 11 , e ) rs . 10
Answer: b
Input: Problem: the class mean score on a test was 50 , and the standard deviation was 15 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ? 
Options: a ) 20 , b ) 31 , c ) 45 , d ) 90 , e ) 89
Answer: a
Input: Problem: farm tax is levied on the 60 % of the cultivated land . the tax department collected total $ 5000 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : 
Options: a ) 15 % , b ) 16 % , c ) 0.125 % , d ) 0.2083 % , e ) none
Answer: b
Input: Problem: if a farmer sells 5 of his goats , his stock of feed will last for 4 more days than planned , but if he buys 10 more goats , he will run out of feed 3 days earlier than planned . if no goats are sold or bought , the farmer will be exactly on schedule . how many goats does the farmer have ? 
Options: a ) 12 , b ) 20 , c ) 48 , d ) 55 , e ) 60
Answer: b
Input: Problem: of the total amount that jill spent on a shopping trip , excluding taxes , she spent 40 percent on clothing , 30 percent on food , and 30 percent on other items . if jill paid a 4 percent tax on the clothing , no tax on the food , and an 8 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? 
Options: a ) 2.8 % , b ) 3.6 % , c ) 4 % , d ) 5.2 % , e ) 6.0 %
Answer: c
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 7 . if x / y = 86.1 , what is the value of y ? 
Options: a ) 72 , b ) 71 , c ) 70 , d ) 30 , e ) 45
Answer: c
Input: Problem: if the sum of the 4 th term and the 12 th term of an arithmetic progression is 10 , what is the sum of the first 15 terms of the progression ? 
Options: a ) 65 , b ) 75 , c ) 60 , d ) 55 , e ) 50
Answer: b
Input: Problem: the average of first 5 multiples of 5 is 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Answer: e
Input: Problem: if you add all the numbers on your mobile phone , what is the answer ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 100 , e ) 60
Answer: a
Input: Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number age of the family now is ? 
Options: a ) 17 , b ) 98 , c ) 88 , d ) 85 , e ) 83
Answer: d
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 e 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: of the families in city x in 1994 , 35 percent owned a personal computer . the number of families in city x owning a computer in 1998 was 20 percent greater than it was in 1994 , and the total number of families in city x was 4 percent greater in 1998 than it was in 1994 . what percent of the families in city x owned a personal computer in 1998 ? 
Options: a ) 50.12 % , b ) 40.52 % , c ) 40.56 % , d ) 40.38 % , e ) 40.14 %
Answer: d
Input: Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 83200 ? 
Options: a ) 81000 , b ) 81028 , c ) 105300 , d ) 29889 , e ) 22312
Answer: c
Input: Problem: in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? 
Options: a ) 3 , b ) 5 , c ) 8 , d ) 13 , e ) 15
Answer: a
Input: Problem: a pharmaceutical company received $ 6 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? 
Options: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 72 %
Answer: e
Input: Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what s percent of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Answer: c
Input: Problem: the ratio of ducks and frogs in a pond is 31 : 39 respectively . the average number of ducks and frogs in the pond is 152 . what is the number of frogs in the pond ? 
Options: a ) 148 , b ) 152 , c ) 156 , d ) 169 , e ) none
Answer: d
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 $ 120,000 ? 
Options: a ) 15 , b ) 21 , c ) 18 , d ) 20 , e ) 24
Answer: b
Input: Problem: in arun ' s opinion , his weight is greater than 61 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 64 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? 
Options: a ) 86.5 kg , b ) 62.5 kg , c ) 46.5 kg , d ) 26.5 kg , e ) 16.5 kg
Answer: b
Input: Problem: 96 % of the population of a village is 23040 . the total population of the village is ? 
Options: a ) 26799 , b ) 24000 , c ) 26682 , d ) 29973 , e ) 12312
Answer: b
Input: Problem: 8.5 × 6.4 + 4.5 × 11.6 = ? ÷ 4 
Options: a ) 426.2 , b ) 426.4 , c ) 106.6 , d ) 422.4 , e ) 522.5
Answer: b
Input: Problem: bookman purchased 30 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 240 , how many paperback copies were sold ? 
Options: a ) 8 , b ) 12 , c ) 6 , d ) 4 , e ) 5
Answer: b
Input: Problem: 3 log 3 ( - 5 ) = ? 
Options: a ) 1 , b ) undentified , c ) 3 , d ) 7 , e ) 5
Answer: b
Input: Problem: what is the lowest positive integer that is divisible by 1 through 2 , inclusive ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 6 , e ) 1
Answer: a
Input: Problem: find the unknown term 8 , x , 62 , - 4 , - 12 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Answer: d
Input: Problem: the price of 3 pants and 6 t - shirts is rs . 1500 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ? 
Options: a ) 700 , b ) 300 , c ) 250 , d ) 550 , e ) 800
Answer: e
Input: Problem: 17 times a positive integer is more than its square by 70 , then the positive integer is 
Options: a ) 13 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Answer: b
Input: Problem: according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 20 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ? 
Options: a ) 15 , b ) 34 , c ) 50 , d ) 67 , e ) 100
Answer: a
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 48 / r years . if pat ' s parents invested $ 5,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Answer: b
Input: Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2014 ) = ? 
Options: a ) 2015 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781
Answer: a
Input: Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 38 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 8
Answer: e
Input: Problem: if the number is divided by 3 , it reduced by 48 . the number is 
Options: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 72 , e ) e ) 36
Answer: d
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 $ 17000 left with him . find salary . . 
Options: a ) $ 10700 , b ) $ 17000 , c ) $ 180000 , d ) $ 1700 , e ) $ 170000
Answer: e
Input: Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length e of a cube whose surface area is equal to 6 z ? 
Options: a ) e = 16 , b ) e = 8 √ 2 , c ) e = 8 , d ) e = 2 √ 2 , e ) ( √ 2 ) / 3
Answer: d
Input: Problem: in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 3 ohms and y is 5 ohms ? 
Options: a ) 15 / 8 , b ) 3 / 8 , c ) 5 / 8 , d ) 7 / 15 , e ) 8 / 15
Answer: a
Input: Problem: the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 15,000 each . what is the average salary of the remaining employees ? 
Options: a ) $ 19,250 , b ) $ 18,500 , c ) $ 18,000 , d ) $ 19,100 , e ) $ 12,300
Answer: d
Input: Problem: the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 150 . what is the manager ' s monthly salary ? 
Options: a ) rs . 6003 , b ) rs . 6029 , c ) rs . 4650 , d ) rs . 6108 , e ) rs . 6011
Answer: c
Input: Problem: let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 9 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? 
Options: a ) - 9 , b ) - 1 , c ) 0 , d ) 1 , e ) 9
Answer: a
Input: Problem: the average of first 12 even numbers is ? 
Options: a ) 19 , b ) 18 , c ) 16 , d ) 13 , e ) 17
Answer: d
Input: Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted . 
Options: a ) 12 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Answer: a
Input: Problem: what is the total number of integers between 20 and 100 that are divisible by 9 ? 
Options: a ) 5 , b ) 15 , c ) 12 , d ) 7 , e ) 9
Answer: e
Input: Problem: what will be the remainder when 17 ^ 200 is divided by 18 ? 
Options: a ) 3 , b ) 8 , c ) 5 , d ) 1 , e ) 7
Answer: d
Input: Problem: find the largest 6 digit number which is exactly divisible by 88 ? 
Options: a ) 998765 , b ) 998907 , c ) 999944 , d ) 999954 , e ) 999990
Answer: c
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 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 300 ? 
Options: a ) 3,108 , b ) 3,100 , c ) 3,108 , d ) 3,124 , e ) 3,250
Answer: e
Input: Problem: how much percentage 80 is of 480 ? 
Options: a ) 16.5 , b ) 14.33 , c ) 12.5 , d ) 15.8 , e ) 16.66
Answer: e
Input: Problem: right now , al and eliot have bank accounts , and al has more money than eliot . the difference between their two accounts is 1 / 12 of the sum of their two accounts . if al ’ s account were to increase by 10 % and eliot ’ s account were to increase by 20 % , then al would have exactly $ 20 more than eliot in his account . how much money does eliot have in his account right now ? 
Options: a ) $ 110 , b ) $ 120 , c ) $ 180 , d ) $ 200 , e ) $ 260
Answer: d
Input: Problem: the age of somu is one - third his father ' s . 9 years back he was one - fifth of his father ' s age . what is his persent age ? 
Options: a ) 11 , b ) 18 , c ) 14 , d ) 12 , e ) 10
Answer: b
Input: Problem: if 3 a – 3 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ? 
Options: a ) 3 , b ) 9 , c ) 10 , d ) 12 , e ) 14
Answer: c
Input: Problem: the average weight of 10 persons increases by 3.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 76 kg , b ) 80 kg , c ) 85 kg , d ) 97 kg , e ) none
Answer: d
Input: Problem: the average of first three prime numbers greater than 5 is ? 
Options: a ) 12.6 , b ) 12.9 , c ) 22.3 , d ) 10.3 , e ) 12.7
Answer: d
Input: Problem: if i equals the sum of the even integers from 2 to 224 , inclusive , and k equals the sum of the even integers from 8 to 80 , inclusive , what is the value of i - k ? 
Options: a ) 11028 , b ) 14172 , c ) 14284 , d ) 14015 , e ) 14397
Answer: a
Input: Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.60 lacs . how many workers were they ? 
Options: a ) 220 , b ) 230 , c ) 1200 , d ) 560 , e ) 590
Answer: c
Input: Problem: the value of x + x ( x ^ x ) when x = 10 is 
Options: a ) 100000000010 , b ) 10000000010 , c ) 10000000000 , d ) 1200000000 , e ) 12000000010
Answer: a
Input: Problem: the smallest value of n , for which 2 n is not a prime number , is 
Options: a ) 2 , 3,4 , b ) 1 , 3,5 , c ) 2 , 5,6 , d ) 4 , 8,9 , e ) 12 , 14,16
Answer: a
Input: Problem: if n is an integer from 1 to 96 ( inclusive ) , what is the probability for n * ( n + 1 ) * ( n + 2 ) being divisible by 8 ? 
Options: a ) 25 % , b ) 50 % , c ) 62.5 % , d ) 72.5 % , e ) 75 %
Answer: a
Input: Problem: how many integers are divisible by 3 between 10 ! and 10 ! + 20 inclusive ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: b
Input: Problem: addison high school ’ s senior class has 200 boys and 160 girls . if 60 % of the boys and 75 % of the girls attended college , what percentage of the total class that did not attend college ? 
Options: a ) 33.33 , b ) 60 , c ) 80 , d ) 66.67 , e ) 64
Answer: d
Input: Problem: when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 40 % water ? 
Options: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.9 kg , e ) none of these
Answer: a
Input: Problem: 1 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? 
Options: a ) 0.004 , b ) 0.02775 , c ) 2.775 , d ) 3.6036 , e ) 36.036
Answer: b
Input: Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b 
Options: a ) 10 , b ) 8 , c ) 6 , d ) 5 , e ) 7
Answer: a
Input: Problem: in a zoo there are 30 penguins , 22 zebras , and 8 tigers with some zookeepers . if the total number of heads are 132 less than the number of feet , the number of zookeepers is 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 22
Answer: a
Input: Problem: the sum of digits of a two digit number is 12 , the difference between the digits is 4 . find the number 
Options: a ) 84 , b ) 94 , c ) 83 , d ) 72 , e ) none
Answer: a
Input: Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units digit of ( a + 2 ) ^ 2 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 14
Answer: a
Input: Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 10000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : 
Options: a ) 23 , b ) 19 , c ) 22 , d ) 20 , e ) 14
Answer: e
Input: Problem: 78 , 64 , 48 , 30 10 , ( . . . ) 
Options: a ) - 12 number , b ) - 14 , c ) 2 , d ) 8 , e ) 6
Answer: a
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 27 . if n / j = 204.09 , what is value of j ? 
Options: a ) 300 , b ) 320 , c ) 360 , d ) 410 , e ) 420
Answer: a
Input: Problem: the ratio 5 : 4 expressed as a percent equals 
Options: a ) 12.5 % , b ) 40 % , c ) 80 % , d ) 125 % , e ) none
Answer: d
Input: Problem: the smallest number which when diminished by 9 , is divisible 13 , 26 , 39 , 52 and 65 is : 
Options: a ) 789 , b ) 769 , c ) 790 , d ) 787 , e ) 788
Answer: a
Input: Problem: the average age of 30 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher . 
Options: a ) 43 , b ) 44 , c ) 45 , d ) 47 , e ) 48
Answer: c
Input: Problem: how many positive 3 - digit integers are divisible by both 3 and 7 ? 
Options: a ) 43 , b ) 45 , c ) 47 , d ) 50 , e ) 52
Answer: a
Input: Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing theaverage by 4 year . find what was theoriginal strength of class ? 
Options: a ) 11 , b ) 12 , c ) 17 , d ) 19 , e ) 21
Answer: b
Input: Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 5200 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? 
Options: a ) 2160 , b ) 2350 , c ) 2000 , d ) 2300 , e ) none of these
Answer: d
Input: Problem: if 1 + 2 + 3 + . . . + n = n ( n + 1 ) , then 3 ( 1 + 3 + 5 + . . . . + 69 ) = ? 
Options: a ) 3675 , b ) 3575 , c ) 3475 , d ) 3375 , e ) 3275
Answer: a
Input: Problem: a student got 72 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? 
Options: a ) 65 % , b ) 67 % , c ) 69 % , d ) 71 % , e ) 73 %
Answer: c
Input: Problem: dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 9 is the same as dividing by what number ? 
Options: a ) 31 ⁄ 5 , b ) 16 ⁄ 5 , c ) 20 ⁄ 9 , d ) 40 / 27 , e ) 5 ⁄ 16
Answer: d
Input: Problem: two numbers a and b are such that the sum of 5 % of a and 2 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . 
Options: a ) 2 : 1 , b ) 1 : 2 , c ) 4 : 3 , d ) 10 : 3 , e ) 3 : 2
Answer: d
Input: Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent x of his family ’ s total income ? 
Options: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %
Answer: e
Input: Problem: the cricket team of 11 members is 25 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 28
Answer: b
Input: Problem: if n is a prime number greater than 4 , what is the remainder when n ^ 2 is divided by 12 ? 
Options: a ) 0 , b ) 2 , c ) 1 , d ) 3 , e ) 5
Answer: c
Input: Problem: john purchased 1365 large bottles at $ 1.89 per bottle and 720 small bottles at $ 1.42 per bottle . what was the approximate average price paid per bottle ? 
Options: a ) $ 1.63 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.73 , e ) $ 1.76
Answer: d
Input: Problem: virginia , adrienne , and dennis have taught history for a combined total of 102 years . if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis , for how many years has dennis taught ? 
Options: a ) 23 , b ) 32 , c ) 35 , d ) 43 , e ) 44
Answer: d
Input: Problem: company x provides bottled water to its employees in 1 liter bottles , $ 2 each . at least how many 1 l bottles must company x buy monthly , so that new contract with $ 50 fixed monthly rate and $ 1 for 10 l bottle each paid off ? ( assume that no other costs apply ) 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 27
Answer: e
Input: Problem: the average weight of a group of boys is 30 kg . after a boy of weight 45 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? 
Options: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18
Answer: a
Input: Problem: if n = 8 ^ 8 – 5 , what is the units digit of n ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: e