niryuu/sni-each-converted huggingface dataset:
Problem: you collect baseball cards . suppose you start out with 15 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Output: b
Problem: the cost of 2 chairs and 3 tables is rs . 1700 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ? 
Options: a ) 228 , b ) 287 , c ) 277 , d ) 188 , e ) 500
Output: e
Problem: when positive integer n is divided by positive integer j , the remainder is 18 . if n / j = 134.08 , what is value of j ? 
Options: a ) 22 , b ) 56 , c ) 78 , d ) 112 , e ) 225
Output: e
Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 1104 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? 
Options: a ) 2145 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560
Output: a
Problem: 2 , 5 , 10 , 17 , . . 
Options: a ) 5 , b ) 8 , c ) 26 , d ) 7 , e ) 12
Output: c
Problem: the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers 
Options: a ) 28,22 , b ) 28,17 , c ) 27,17 , d ) 26,17 , e ) 28,19
Output: b
Problem: how many numbers from 2 to 7 are exactly divisible by 2 ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 8
Output: b
Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration e of the acid in the mixture ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5
Output: d
Problem: little john had $ 5.10 . he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each . how much money was left ? 
Options: a ) $ 2.15 , b ) $ 2.05 , c ) $ 2.45 , d ) $ 2.25 , e ) $ 2.85
Output: b
Problem: a certain number when divided by 39 leaves a remainder 20 , what is the remainder when the same number is divided by 13 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 0 , e ) 1
Output: a
Problem: the sum of the first 50 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? 
Options: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600
Output: b
Problem: john was 22 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ? 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 21 , e ) 32
Output: d
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 q are there between 6 * + 2 and 6 * + 6 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Output: a
Problem: john has taken 4 ( 4 ) tests that have an average of 82 . in order to bring his course grade up to a ‘ b ’ , he will need to have a final average of 86 . what will he need to average on his final two tests to achieve this grade ? 
Options: a ) 87 , b ) 90 , c ) 92 , d ) 94 , e ) 97
Output: d
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 $ 14000 left with him . find salary . . 
Options: a ) $ 10400 , b ) $ 14000 , c ) $ 144000 , d ) $ 1800 , e ) $ 140000
Output: e
Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 13.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ? 
Options: a ) 3 % , b ) 61 1 / 9 % , c ) 25 % , d ) 33 1 / 3 % , e ) 60 %
Output: b
Problem: if 70 percent of 600 is 40 percent of x , then x = ? 
Options: a ) 105 , b ) 168 , c ) 342 , d ) 660 , e ) 1050
Output: e
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 %
Output: d
Problem: molly ' s age in 18 years will be 5 times her age 6 years ago . what is molly ' s present age ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 12 , e ) 14
Output: d
Problem: find large number from below question the difference of two numbers is 250 . on dividing the larger number by the smaller , we get 5 as quotient and the 14 as remainder 
Options: a ) 120 , b ) 135 , c ) 140 , d ) 309 , e ) 369
Output: d
Problem: if 50 % of ( x - y ) = 20 % of ( x + y ) then what percent of x is y ? 
Options: a ) 2.5 % , b ) 10 % , c ) 5 % , d ) 15 % , e ) 43 %
Output: e
Problem: set s consists of integers { 13 , 57 } . if two numbers are chosen from set s at random , what is the probability that the product of 2 numbers is more than 15 ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 1 / 6 , e ) 2 / 3
Output: b
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
Output: b
Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 6 full , while jug y is 2 / 3 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ? 
Options: a ) 0 , b ) 1 / 12 , c ) 2 / 15 , d ) 1 / 10 , e ) 2 / 10
Output: b
Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ? 
Options: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 4 , d ) 3 / 2 , e ) 2 / 3
Output: b
Problem: the average of 11 results is 52 , if the average of first 6 results is 49 and that of the last 6 is 52 . find the sixth result ? 
Options: a ) a ) 46 , b ) b ) 34 , c ) c ) 66 , d ) d ) 76 , e ) e ) 74
Output: b
Problem: sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 10 more than 1 / 4 of the fine and peter paid $ 10 less than 1 / 3 of the fine , leaving pay $ 25 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ? 
Options: a ) $ 120 , b ) $ 125 , c ) $ 130 , d ) $ 135 , e ) $ 140
Output: b
Problem: what is the value of ( 12 + 22 + 32 + 42 + - - - - - + 102 ) 
Options: a ) 295 , b ) 324 , c ) 385 , d ) 391 , e ) 399
Output: c
Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × q , what is the value of q ? 
Options: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 54
Output: d
Problem: how many zeroes are there at the end of the number n , if n = 60 ! + 120 ! ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: b
Problem: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? 
Options: a ) 35.67 % , b ) 65.80 % , c ) 68.57 % , d ) 69.57 % , e ) none of these
Output: b
Problem: f ( 1 ) = 1 , where f ( x + y ) = f ( x ) + f ( y ) + 8 xy - 2 . then f ( 7 ) = ? 
Options: a ) 162 , b ) 163 , c ) 164 , d ) 165 , e ) 166
Output: b
Problem: in an office , totally there are 2800 employees and 25 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? 
Options: a ) 390 , b ) 490 , c ) 400 , d ) 460 , e ) none of these
Output: b
Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 896 ? 
Options: a ) 1000 , b ) 800 , c ) 2889 , d ) 2777 , e ) 2991
Output: b
Problem: if ( m - 8 ) is a factor of m ^ 2 - km - 24 , then k = 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 11 , e ) 16
Output: b
Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ? 
Options: a ) 160 , b ) 200 , c ) 240 , d ) 300 , e ) 480
Output: b
Problem: if x + 1 / x = 2 then find x 2 + 1 / x 2 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: find the sum of first 35 odd numbers 
Options: a ) 4900 , b ) 3000 , c ) 1250 , d ) 1200 , e ) 1225
Output: e
Problem: a local restaurant recently renovated its dining space , purchasing new tables and chairs to use in addition to the original tables and chairs . the new tables each seat 6 customers , while the original tables each seat 4 customers . altogether , the restaurant now has 40 tables and is capable of seating 212 customers . how many more new tables than original tables does the restaurant have ? 
Options: a ) 8 , b ) 12 , c ) 20 , d ) 24 , e ) 28
Output: b
Problem: 517 x 517 + 483 x 483 = ? 
Options: a ) 79698 , b ) 80578 , c ) 500578 , d ) 81268 , e ) none of them
Output: c
Problem: the average age of 6 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years . find the average age of the women ? 
Options: a ) 87 , b ) 12 , c ) 30 , d ) 28 , e ) 17
Output: e
Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 70 , how many questions did student a answer correctly ? 
Options: a ) 55 , b ) 90 , c ) 73 , d ) 82 , e ) 91
Output: b
Problem: diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 8 gallon of paint . how many statues can she paint ? 
Options: a ) 7 , b ) 20 , c ) 28 , d ) 14 , e ) 19
Output: a
Problem: the average ( arithmetic mean ) of 5 numbers is 5 . if 2 is subtracted from each of 4 of the numbers , what is the new average ? 
Options: a ) 3.4 , b ) 4.5 , c ) 6.2 , d ) 5.7 , e ) 6.9
Output: a
Problem: ( x ) + 1315 + 9211 - 1569 = 11901 . calculate the value of x 
Options: a ) 87801 , b ) 87811 , c ) 87862 , d ) 11803 , e ) 87803
Output: e
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
Output: d
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
Output: a
Problem: when n is divided by 15 , the remainder is 8 . what is the remainder when 5 n is divided by 6 ? 
Options: a ) 2 , b ) 6 , c ) 3 , d ) 4 , e ) 1
Output: d
Problem: in a race where 15 cars are running , the chance that car x will win is 1 / 4 , that y will win is 1 / 8 and that z will win is 1 / 12 . assuming that a dead heat is impossible , find the chance that one of them will win . 
Options: a ) 1 / 140 , b ) 1 / 180 , c ) 11 / 24 , d ) 10 / 15 , e ) 57 / 120
Output: c
Problem: the average of 11 numbers is 10.7 . if the average of first 6 is 10.5 and that of the last 6.00001 is 11.4 the sixth number is ? 
Options: a ) 9 , b ) 9.2 , c ) 10 , d ) 13.7 , e ) 12
Output: d
Problem: the average height of 20 students is 20 cm and the average height of 11 students is 20 cm . what is the average height of the 31 students ? 
Options: a ) 40 cm , b ) 20 cm , c ) 30 cm , d ) 25 cm , e ) 35 cm
Output: b
Problem: a pupil ' s marks were wrongly entered as 73 instead of 65 . due to the average marks for the class got increased by half . the number of pupils in the class is ? 
Options: a ) 18 , b ) 82 , c ) 16 , d ) 27 , e ) 29
Output: c
Problem: if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 7000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ? 
Options: a ) $ 28000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Output: a
Problem: in one year , the population , of a village increased by 10 % and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ? 
Options: a ) 8008 , b ) 8000 , c ) 8022 , d ) 8021 , e ) 8022
Output: b
Problem: a batsman makes a score of 83 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? 
Options: a ) 19 , b ) 29 , c ) 35 , d ) 49 , e ) 59
Output: c
Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 80,000 as total savings , how much has he saved in public provident fund ? 
Options: a ) 81000 , b ) 85000 , c ) 75000 , d ) 72000 , e ) 77000
Output: d
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
Output: e
Problem: a = { 2 , 3 , 5 , 7 , 11 } b = { 2 , 4 , 6 , 19 } two integers will be randomly selected from sets a and b , one integer from set a and one from set b , and then multiplied together . how many different products can be obtained ? 
Options: a ) 15 , b ) 16 , c ) 19 , d ) 24 , e ) 36
Output: d
Problem: in a race where 12 cars are running , the chance that car x will win is 1 / 6 , that y will win is 1 / 10 and that z will win is 1 / 8 . assuming that a dead heat is impossible , find the chance that one of them will win . 
Options: a ) 1 / 140 , b ) 1 / 180 , c ) 27 / 410 , d ) 47 / 120 , e ) 57 / 120
Output: d
Problem: how many integers from 0 to 44 , inclusive , have a remainder of 1 when divided by 3 ? 
Options: a ) 13 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Output: a
Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire . how many photos has claire taken ? 
Options: a ) 5 , b ) 8 , c ) 11 , d ) 12 , e ) 14
Output: a
Problem: claire has a total of 80 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? 
Options: a ) 39 , b ) 50 , c ) 54 , d ) 57 , e ) 36
Output: e
Problem: if a = 105 and a ^ 3 = 21 * 25 * 315 * b , what is the value of b ? 
Options: a ) 35 , b ) 7 , c ) 45 , d ) 49 , e ) 54
Output: b
Problem: a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 6.0 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? 
Options: a ) $ 960 , b ) $ 1,350 , c ) $ 1,725 , d ) $ 2,050 , e ) $ 1,800
Output: e
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 300 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? 
Options: a ) 250 / 3 , b ) 500 / 3 , c ) 900 , d ) 480 , e ) 600
Output: c
Problem: if 4 < x < 8 < y < 12 , then what is the greatest possible positive integer difference of x and y ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: e
Problem: a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 104 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: e
Problem: of the families in city x in 1956 , 25 percent owned a personal computer . the number of families in city x owning a computer in 1960 was 15 percent greater than it was in 1956 , and the total number of families in city x was 5 percent greater in 1956 than it was in 1960 . what percent of the families in city x owned a personal computer in 1960 ? 
Options: a ) 50 % , b ) 51.22 % , c ) 5.26 % , d ) 7.20 % , e ) 27.38 %
Output: e
Problem: jill has 42 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 72 , e ) 14
Output: d
Problem: if a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21 , what is the range of a / b ? 
Options: a ) 52 / 45 , b ) 23 / 47 , c ) 60 / 41 , d ) 51 / 42 , e ) 41 / 60
Output: e
Problem: 18 times a positive integer is more than its square by 80 , then the positive integer is 
Options: a ) 13 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Output: b
Problem: set a contains all the even numbers between 4 and 50 inclusive . set b contains all the even numbers between 104 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? 
Options: a ) 2400 , b ) 2550 , c ) 5050 , d ) 6275 , e ) 11325
Output: a
Problem: in a division sum , the quotient is 40 , the divisor 72 and the remainder 64 , find the dividend ? 
Options: a ) 2674 , b ) 2944 , c ) 2464 , d ) 2924 , e ) 2994
Output: b
Problem: 0.002 x 0.6 = ? 
Options: a ) 0.0012 , b ) 0.001 , c ) 0.01 , d ) 0.1 , e ) none of these
Output: a
Problem: how many figures are required to number the pages the pages of a book containing 365 pages ? 
Options: a ) 987 , b ) 977 , c ) 967 , d ) 897 , e ) 997
Output: a
Problem: 70 % of 300 + 25 % of 400 - ? = 256 
Options: a ) 48 , b ) 68 , c ) 54 , d ) 60 , e ) none of these
Output: c
Problem: if you write down all the numbers from 1 to 100 , then how many times do you write 3 ? 
Options: a ) 11 , b ) 18 , c ) 20 , d ) 21 , e ) 22
Output: c
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 15 % water ? 
Options: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.9 kg , e ) none of these
Output: c
Problem: a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money r did bob receive ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52
Output: b
Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 24 / r years . if pat ' s parents invested $ 6,000 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 ) $ 30000
Output: e
Problem: of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ? 
Options: a ) 5 / 9 , b ) 3 / 15 , c ) 23 / 45 , d ) 43 / 60 , e ) 53 / 90
Output: c
Problem: when the number 72 y 6139 is exactly divisible by 11 , then the smallest whole number that can replace y is ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 9
Output: d
Problem: company c sells a line of 20 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ? 
Options: a ) 12000 , b ) 11000 , c ) 10000 , d ) 13000 , e ) 15000
Output: b
Problem: arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 9 from the product of their ages a year from today . what is their age today ? 
Options: a ) 2 . , b ) 4 . , c ) 5 . , d ) 7 , e ) 9 .
Output: b
Problem: the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is ? 
Options: a ) 377 , b ) 126 , c ) 111 , d ) 727 , e ) 121
Output: c
Problem: if the sum of two numbers is 24 and the sum of their squares is 404 , then the product of the numbers is 
Options: a ) 40 , b ) 44 , c ) 80 , d ) 86 , e ) 90
Output: d
Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 5 grades are d ' s . what is the number of students in the course ? 
Options: a ) 80 , b ) 110 , c ) 160 , d ) 100 , e ) 400
Output: d
Problem: a grocery shop has a sale of rs . 6535 , rs . 6927 , 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 . 6500 ? 
Options: a ) 4857 , b ) 4184 , c ) 4012 , d ) 4891 , e ) 5291
Output: d
Problem: the average marks of 10 students in a class is 100 . but a student mark is wrongly noted as 50 instead of 10 then find the correct average marks ? 
Options: a ) a ) 78 , b ) b ) 82 , c ) c ) 96 , d ) d ) 91 , e ) e ) 85
Output: c
Problem: when asked what the time is , a person answered that the amount of time left is 1 / 5 of the time already completed . what is the time . 
Options: a ) 2 , b ) 9 , c ) 3 , d ) 8 , e ) 6
Output: d
Problem: a person saved $ 10 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ? 
Options: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %
Output: c
Problem: circles x and y are concentric . if the radius of circle x is 6 times that of circle y , what is the probability that a point selected inside circle x at random will be outside circle y ? 
Options: a ) 13 , b ) pi / 3 , c ) pi / 2 , d ) 35 / 36 , e ) 8 / 9
Output: d
Problem: if a + b + c = 13 , then find the ab + bc + ca : 
Options: a ) 22 , b ) 99 , c ) 50 , d ) 29 , e ) 11
Output: c
Problem: a man can swim in still water at 12 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ? 
Options: a ) 1.7 , b ) 2.67 , c ) 1.2 , d ) 1.5 , e ) 4
Output: e
Problem: there are 11 teams in a certain league and each team plays each of the other teams exactly once . what is the total number of games played ? 
Options: a ) 35 , b ) 45 , c ) 55 , d ) 65 , e ) 75
Output: c
Problem: how many times digit 20 is used while writing numbers from 100 to 500 ? 
Options: a ) 20 , b ) 30 , c ) 15 , d ) 25 , e ) 20
Output: a
Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 10 gallons of water and 20 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? 
Options: a ) 37.5 , b ) 75 , c ) 100 , d ) 150 , e ) 175
Output: d
Problem: a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . 
Options: a ) 107 , b ) 117 , c ) 127 , d ) 137 , e ) 147
Output: b
Problem: an auto assembly plant performs 6 functions with each frame that arrives : add axles , add wheels to the axles , install the windshield to the frame , install the instrument panel , install the steering wheel , and install the interior seating . once those 6 tasks are performed , each car goes to a separate building for finishing touches . if these tasks can be arranged along a linear assembly line in any order , except that the axles must be installed before the wheels can be added , how many t ways can the assembly line be arranged ? 
Options: a ) 120 , b ) 240 , c ) 360 , d ) 480 , e ) 720
Output: c
Problem: a rainstorm increased the amount of water stored in state j reservoirs from 50 billion gallons to 75 billion gallons . if the storm increased the amount of water in the reservoirs to 37.5 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? 
Options: a ) 90 , b ) 114 , c ) 124 , d ) 120 , e ) 127
Output: e
Problem: if 4 a = 5 b and ab ≠ 0 , what is the ratio of a / 5 to b / 4 ? 
Options: a ) 125 / 64 , b ) 25 / 16 , c ) 1 , d ) 4 / 5 , e ) 64 / 125
Output: c
Problem: 0.0015 ÷ ? = 0.003 
Options: a ) 0.05 , b ) 0.005 , c ) 0.5 , d ) 5 , e ) 50
Output: c
Problem: farm tax is levied on the 50 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam 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 ) 25 % , c ) 0.125 % , d ) 0.2083 % , e ) none
Output: b
Problem: log root ( 8 ) / log 8 is equal to 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6
Output: a
Problem: if an organization were to sell n tickets for a theater production , the total revenue from ticket sales would be 20 percent greater than the total costs of the production . if the organization actually sold all but 5 percent of the n tickets , the total revenue from ticket sales was what percent greater than the total costs of the production ? 
Options: a ) 4 % , b ) 10 % , c ) 14 % , d ) 15 % , e ) 18 %
Output: c
Problem: in a box of 6 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? 
Options: a ) 1 / 2 , b ) 1 / 5 , c ) 2 / 3 , d ) 2 / 5 , e ) 1 / 7
Output: b
Problem: when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 6 , the remainder is 5 . how many values less than 100 can n take ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: d
Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? 
Options: a ) 40 , b ) 44 , c ) 48 , d ) 22 , e ) none of these
Output: d
Problem: ( 0.76 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.76 ) ( power 2 ) + 0.076 + ( 0.1 ) ( power 2 ) is : 
Options: a ) 0.66 , b ) 0.68 , c ) 0.96 , d ) 0.69 , e ) 0.76
Output: a
Problem: the unit digit in the product ( 115 * 297 * 196 * 108 ) is : 
Options: a ) 2 , b ) 7 , c ) 6 , d ) 0 , e ) 8
Output: d
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
Output: c
Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 12 brown mice in the experiment , how many mice in total are in the experiment ? 
Options: a ) 39 , b ) 33 , c ) 26 , d ) 21 , e ) 36
Output: e
Problem: 1396 x 1396 
Options: a ) 1948816 , b ) 1981709 , c ) 18362619 , d ) 2031719 , e ) none of these
Output: a
Problem: a number when divided by 219 gives a remainder 32 , what remainder will be obtained by dividing the same number 12 ? 
Options: a ) 7 , b ) 11 , c ) 9 , d ) 2 , e ) 3
Output: b
Problem: total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3 / 4 liter milk 25 cow gives each 1 / 4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 25 , e ) 18
Output: d
Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 63 , what is the value of x ? 
Options: a ) 60 , b ) 62 , c ) 64 , d ) 61 , e ) 66
Output: d
Problem: a drink vendor has 20 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ? 
Options: a ) 135 , b ) 137 , c ) 142 , d ) 130 , e ) 133
Output: e
Problem: what is the total cost of 2 sandwiches at $ 1.49 each and 4 sodas at $ 0.87 each ? 
Options: a ) $ 3.36 , b ) $ 6.46 , c ) $ 8.46 , d ) $ 10.08 , e ) $ 11.85
Output: b
Problem: a bag contains 10 balls numbered from 0 to 9 . the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them . a person picked a ball and replaced it in the bag after noting its number . he repeated this process 2 more times . what is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third ? 
Options: a ) 72 / 100 , b ) 3 / 25 , c ) 4 / 5 , d ) 1 / 6 , e ) 1 / 9
Output: b
Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: d
Problem: the sum of two numbers is 45 . sum of their quotient and reciprocal is 2.05 , find the product of the numbers . 
Options: a ) 339 , b ) 500 , c ) 288 , d ) 277 , e ) 112
Output: b
Problem: in a mixture 60 litres , the ratio of milk and water 2 : 1 . if this ratio is to be 1 : 2 , then the quanity of water to be further added is : 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: e
Problem: how much is 80 % of 40 is greater than 2 / 5 of 25 ? 
Options: a ) 22 , b ) 27 , c ) 18 , d ) 12 , e ) 81
Output: a
Problem: what is the units digit of 33 ^ 2 * 17 ^ 3 * 49 ^ 3 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Output: b
Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1792 ? 
Options: a ) 1600 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771
Output: a
Problem: the average of 5 numbers is 27 . if one number is excluded the average become 25 . the excluded number is : 
Options: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) 37
Output: d
Problem: if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value t of the product xy ? 
Options: a ) - 12 , b ) - 3 , c ) 0 , d ) 2 , e ) none of the above
Output: c
Problem: of 3 numbers , the third is twice the second and the second is 4 times the first . if their average is 78 , the smallest of the 3 numbers is : 
Options: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Output: a
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 ]
Output: a
Problem: what is the smallest positive integer k such that the product of 1575 x k is a perfect square ? 
Options: a ) 7 , b ) 9 , c ) 15 , d ) 25 , e ) 63
Output: a
Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 424 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? 
Options: a ) 1176 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560
Output: a
Problem: find the greatest number that will divide 256 , 193 and 210 leaving 6 , 18 and 100 as remainders respectively 
Options: a ) 19 , b ) 25 , c ) 23 , d ) 20 , e ) 26
Output: b
Problem: bill is golfing with 3 friends and can either buy generic golf tees that are packaged by the dozen or the higher quality aero flight tees that come by the pair . what is the minimum number of packages of aero flight tees bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome , if he will buy no more than 2 packages of the generic golf tees ? 
Options: a ) 16 , b ) 10 , c ) 28 , d ) 4 , e ) 2
Output: c
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
Output: a
Problem: a batch of cookies was divided amomg 6 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin 
Options: a ) 15 / 2 , b ) 9 / 4 , c ) 5 / 9 , d ) 5 / 7 , e ) 9 / 7
Output: d
Problem: the least number which when divided by 4 , 6 , 7 and 8 leaves a remainder 6 , but when divided by 9 leaves no remainder , is 
Options: a ) 340 , b ) 342 , c ) 523 , d ) 363 , e ) none of these
Output: b
Problem: the average height of 35 boys in a class was calculated as 184 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ? 
Options: a ) 187.89 cm , b ) 182.29 cm , c ) 123.98 cm , d ) 149.98 cm , e ) 146.89 cm
Output: b
Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to z . what is the value of 5.2 – 5.2 * ? 
Options: a ) 0.2 , b ) 1.2 , c ) 1.8 , d ) 2.2 , e ) 4.0
Output: b
Problem: a whale goes on a feeding frenzy that lasts for 12 hours . for the first hour he catches and eats 30 kilos of plankton . in every hour after the first , it consumes 2 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton , how many kilos did he consume on the 10 th hour ? 
Options: a ) 36 , b ) 45 , c ) 28 , d ) 48 , e ) 52
Output: d
Problem: - 64 * 29 + 468 = ? 
Options: a ) 1430 , b ) 1302 , c ) - 2801 , d ) - 1388 , e ) none of these
Output: d
Problem: a man is 18 years older than his son . in eight years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 5 years , b ) 10 years , c ) 15 years , d ) 20 years , e ) 25 years
Output: b
Problem: if a * b = 2 a – 3 b + ab , then 5 * 7 + 7 * 5 is equal to : 
Options: a ) 34 , b ) 18 , c ) 72 , d ) 78 , e ) 82
Output: a
Problem: ram - leela has $ 100 in her piggy bank . how much will she have in her bank 52 weeks from now if she puts $ 1 in the bank next week , $ 2 two weeks from now , $ 3 3 weeks from now , and continues to increase the amount that she puts in by $ 1 each week ? 
Options: a ) 1478 , b ) 1578 , c ) 1678 , d ) 1778 , e ) 1798
Output: a
Problem: on average , the bottle - nosed dolphin comes up for air once every 3 minutes ; the beluga whale , a close relative , comes up for air on average once every 6 minutes . the number of times a bottle - nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period ? 
Options: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 150 %
Output: e
Problem: evaluate : 1222343 - 12 * 3 * 2 = ? 
Options: a ) 122336 , b ) 145456 , c ) 122347 , d ) 126666 , e ) 383838
Output: a
Problem: an auto assembly plant performs 6 functions with each frame that arrives : add axles , add wheels to the axles , install the windshield to the frame , install the instrument panel , install the steering wheel , and install the interior seating . once those 6 tasks are performed , each car goes to a separate building for finishing touches . if these tasks can be arranged along a linear assembly line in any order , except that the axles must be installed before the wheels can be added , how many y ways can the assembly line be arranged ? 
Options: a ) 120 , b ) 240 , c ) 360 , d ) 480 , e ) 720
Output: c
Problem: of the 720 students at a certain university , 25 percent are seniors . if x seniors were to graduate early and leave the university and no additional students entered or left the university , what value of x would reduce the number of seniors at the university to 20 percent ? 
Options: a ) 30 , b ) 36 , c ) 42 , d ) 45 , e ) 48
Output: d
Problem: a jar of 220 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: a
Problem: if 638521 is to be divisible by 5 , what is the least whole number that should be added to ? 
Options: a ) 8 , b ) 7 , c ) 5 , d ) 4 , e ) 3
Output: d
Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 3 
Options: a ) 26 , b ) 22 , c ) 25 , d ) 30 , e ) 29
Output: d
Problem: jar x is 1 / 2 full of water . jar y , which has half the capacity of jar x , is 1 / 4 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? 
Options: a ) 3 / 4 , b ) 5 / 8 , c ) 7 / 8 , d ) 5 / 12 , e ) 7 / 12
Output: b
Problem: the number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ? 
Options: a ) 27 , b ) 33 , c ) 72 , d ) 81 , e ) 162
Output: c
Problem: the captain of a cricket team of 11 members is 25 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 20 years , b ) 21 years , c ) 22 years , d ) 23 years , e ) 24 years
Output: c
Problem: a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 5 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ? 
Options: a ) 3 / 8 , b ) 1 / 2 , c ) 9 / 16 , d ) 5 / 7 , e ) 3 / 4
Output: c
Problem: if a = 105 and a ^ 3 = 21 * 25 * 35 * b , what is the value of b ? 
Options: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 63
Output: e
Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4030 , r will receive 
Options: a ) 600 , b ) 780 , c ) 800 , d ) 900 , e ) none of these
Output: b
Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses w at the restaurant ? ( assume that all boxes are filled to capacity . ) 
Options: a ) 96 , b ) 240 , c ) w = 256 , d ) w = 384 , e ) w = 480
Output: e
Problem: for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 5 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ? 
Options: a ) $ 24960 , b ) $ 25920 , c ) $ 28080 , d ) $ 28350 , e ) $ 29160
Output: d
Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 10 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? 
Options: a ) 40 , b ) 44 , c ) 48 , d ) 55 , e ) none of these
Output: d
Problem: the product of two successive numbers is 7832 . which is the smaller of the two numbers ? 
Options: a ) 78 , b ) 68 , c ) 88 , d ) 97 , e ) 37
Output: c
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
Output: a
Problem: the difference between the heights of two trees is 20 cm . 10 years ago , the taller one was thrice as taller as the shorter one . the present height of the taller tree is 
Options: a ) 300 cm , b ) 15 cm , c ) 20 cm , d ) 10 cm , e ) 40 cm
Output: a
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 %
Output: c
Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability w that n is divisible by 3 ? 
Options: a ) 1 / 3 , b ) ¼ , c ) 9 / 25 , d ) 5 / 16 , e ) 0
Output: d
Problem: 32.32 / 2000 is equal to : 
Options: a ) 1.012526 , b ) 0.012625 , c ) 0.12526 , d ) 0.01616 , e ) 0.12725
Output: d
Problem: if n = 7 ^ 11 – 7 , what is the units digit of n ? 
Options: a ) 0 , b ) 1 , c ) 4 , d ) 6 , e ) 8
Output: d
Problem: during a certain two - week period , 58 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? 
Options: a ) 10 a , b ) 9 a , c ) 8 2 / 3 a , d ) 11 a , e ) 12 a
Output: c
Problem: how many positive integers less than 15 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? 
Options: a ) 14 , b ) 13 , c ) 12 , d ) 8 , e ) 10
Output: d
Problem: if x is an integer and 2.134 × 10 ^ x is less than 2 , 200,000 , what is the greatest possible value for x ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Output: b
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
Output: b
Problem: if 12 : 8 : : x : 16 , then find the value of x 
Options: a ) 18 , b ) 24 , c ) 28 , d ) 16 , e ) 20
Output: b
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
Output: d
Problem: the captain of a cricket team of 11 members is 29 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 20 years , b ) 21 years , c ) 22 years , d ) 23 years , e ) 26 years
Output: e
Problem: the value of x . 320 ã · 2 ã · 3 = x 
Options: a ) 53.33 , b ) 46.33 , c ) 15.36 , d ) 15.45 , e ) 15.48
Output: a
Problem: 1804 x 1804 = ? 
Options: a ) a ) 3254416 , b ) b ) 3624216 , c ) c ) 3624316 , d ) d ) 3625116 , e ) e ) 3625216
Output: a
Problem: set v consists of integers { 3 , - 8 , y , 19 , - 6 } and set b consists of integers { k , - 3 , 0 , 16 , - 5 , 9 } . number l represents the median of set v , number m represents mode of set b and number z = l ^ m . if y is an integer greater than 21 , for what value of k will z be a divisor of 26 ? 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2
Output: c
Problem: if two integers x , y ( x > y ) are selected from - 5 to 6 ( inclusive ) , how many cases are there ? 
Options: a ) 62 , b ) 66 , c ) 70 , d ) 74 , e ) 78
Output: b
Problem: how many numbers from 10 to 50 are exactly divisible by 9 ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Output: e
Problem: village p ’ s population is 1150 greater than village q ' s population . if village q ’ s population were reduced by 200 people , then village p ’ s population would be 4 times as large as village q ' s population . what is village q ' s current population ? 
Options: a ) 600 , b ) 625 , c ) 650 , d ) 675 , e ) 700
Output: c
Problem: if the least common addition of two prime numbers x and y is 10 , where x > y , then the value of 2 x + y is 
Options: a ) 7 , b ) 9 , c ) 14 , d ) 17 , e ) 21
Output: d
Problem: the average of 10 numbers was calculated as 20 . it is discovered later on that while calculating the average , one number , namely 86 , was incorrectly read as 26 . what is the correct average ? 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26
Output: e
Problem: a cyclist rides a bicycle 8 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 8 km / hr . what is the average speed for the entire trip ? 
Options: a ) 8.58 , b ) 8.76 , c ) 9.04 , d ) 9.12 , e ) 9.25
Output: c
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
Output: d
Problem: the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 45 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ? 
Options: a ) 17 , b ) 18 , c ) 22 , d ) 26 , e ) 36
Output: b
Problem: the maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Output: a
Problem: the largest natural number by which the product of 3 consecutive even natural numbers is always divisible , is 
Options: a ) 16 , b ) 24 , c ) 48 , d ) 96 , e ) 78
Output: c
Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 70 , how many coins of each type are there ? 
Options: a ) 20 coins , b ) 30 coins , c ) 40 coins , d ) 25 coins , e ) none of these
Output: c
Problem: find the product of the localvalue and absolutevalue of 3 in 20368 ? 
Options: a ) 1000 , b ) 1100 , c ) 1200 , d ) 900 , e ) 10000
Output: d
Problem: find the average of all prime numbers between 80 and 100 
Options: a ) 88 , b ) 60 , c ) 80 , d ) 89.6 , e ) 92
Output: d
Problem: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability y that you can still row the canoe ? 
Options: a ) 9 / 25 , b ) 10 / 25 , c ) 6 / 10 , d ) 2 / 3 , e ) 21 / 25
Output: e
Problem: when jessica withdrew $ 200 from her bank account , her account balance decreased by 2 / 5 . if she deposits an amount equal to 2 / 3 of the remaining balance , what will be the final balance in her bank account ? 
Options: a ) 300 , b ) 375 , c ) 400 , d ) 500 , e ) 575
Output: d
Problem: a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? 
Options: a ) $ 14,755 , b ) $ 15,325 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155
Output: a
Problem: the heights of 3 individuals are in the ratio 4 : 5 : 6 . if the sum of the heights of the heaviest and the lightest boy is 150 cm more than the height of the third boy , what is the weight of the lightest boy ? 
Options: a ) 120 cm , b ) 150 cm , c ) 160 cm , d ) 190 cm , e ) of these
Output: a
Problem: a box contains 12 pairs of shoes ( 24 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? 
Options: a ) 1 / 190 , b ) 1 / 23 , c ) 1 / 19 , d ) 1 / 10 , e ) 1 / 9
Output: b