Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio q of milk and water in the resultant mixture ? 
Options: a ) 17 : 3 , b ) 9 : 1 , c ) 3 : 17 , d ) 5 : 3 , e ) 11 : 2
Answer: b
Input: Problem: what least number must be subtracted from 9679 so that the remaining number is divisible by 15 ? 
Options: a ) 3 , b ) 1 , c ) 16 , d ) 4 , e ) 15
Answer: d
Input: Problem: ( 23341379 x 72 ) = ? 
Options: a ) 1680579288 , b ) 1223441288 , c ) 2142579288 , d ) 2142339288 , e ) none of these
Answer: a
Input: Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 46 meters . how many times did the ball bounce ? 
Options: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: last year , for every 100 million vehicles that traveled on a certain highway , 75 vehicles were involved in accidents . if 6 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) 
Options: a ) 2500 , b ) 4500 , c ) 3500 , d ) 4000 , e ) 1300
Answer: b
Input: Problem: 10 years ago a was half of b in age . if the ratio of their present ages is 3 : 4 , what will be the total of their present ages 
Options: a ) 30 , b ) 35 , c ) 37 , d ) 41 , e ) 43
Answer: b
Input: Problem: one day a car rental agency rented 3 / 4 of its cars , including 2 / 3 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Answer: d
Input: Problem: a sporting goods store sold 60 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 204 , what is the fewest number of $ 4 frisbees that could have been sold ? 
Options: a ) 24 , b ) 12 , c ) 8 , d ) 4 , e ) 2
Answer: a
Input: Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 3 m + n ? 
Options: a ) 11 , b ) 18 , c ) 20 , d ) 45 , e ) 33
Answer: d
Input: Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 20 = 190 , what is the value of x ? 
Options: a ) 10 , b ) 12 , c ) 11 , d ) 13 , e ) 14
Answer: c
Input: Problem: at a contest with 2000 participants , 1 / 2 of the people are aged 16 to 18 . next year , the number of people aged 16 to 18 will increase by 1 / 4 . after this change , what percentage of the total 2000 people will the 16 - to 18 - year - olds represent ? 
Options: a ) 62.50 % , b ) 60 % , c ) 70 % , d ) 65 % , e ) 66 / 3 %
Answer: a
Input: Problem: of the 17,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? 
Options: a ) 14.3 % , b ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %
Answer: d
Input: Problem: the ratio between x and y is 7 / 5 ; x is multiplied by y and y is multiplied by x , what is the ratio between the new values of x and y ? 
Options: a ) 7 / 5 , b ) 5 / 7 , c ) 1 , d ) 49 / 25 , e ) it can not be determined
Answer: c
Input: Problem: 2 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? 
Options: a ) 0.004 , b ) 0.05555 , c ) 2.775 , d ) 3.6036 , e ) 36.036
Answer: b
Input: Problem: if k ^ 3 is divisible by 120 , what is the least possible value of integer k ? 
Options: a ) 15 , b ) 30 , c ) 60 , d ) 90 , e ) 120
Answer: b
Input: Problem: if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: c
Input: Problem: in august , a cricket team that played 120 matches won 20 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? 
Options: a ) 40 , b ) 52 , c ) 68 , d ) 80 , e ) 98
Answer: d
Input: Problem: how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 25 % solution ? 
Options: a ) a ) 6.7 , b ) b ) 1.3 , c ) c ) 9.6 , d ) d ) 20 , e ) e ) 7.9
Answer: d
Input: 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
Answer: a
Input: Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 38500 . how many times did he participate in the competition ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: b
Input: Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers e are there between 6 * + 2 and 6 * + 6 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: having scored 99 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? 
Options: a ) 28 , b ) 27 , c ) 26 , d ) 22 , e ) 24
Answer: b
Input: Problem: the average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is 
Options: a ) 22 , b ) 30 , c ) 99 , d ) 38 , e ) 27
Answer: b
Input: Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 24,947 . approximately what was the percent increase ? 
Options: a ) 45 % , b ) 125 % , c ) 145 % , d ) 150 % , e ) 180 %
Answer: e
Input: Problem: suraj has a certain average of runs for 8 innings . in the 9 th innings he scores 90 runs thereby increasing his average by 6 runs . what is his average after the 9 th innings ? 
Options: a ) 42 , b ) 64 , c ) 36 , d ) 72 , e ) 27
Answer: a
Input: Problem: how many multiples of 5 are there between 5 to 100 ? 
Options: a ) 9 , b ) 18 , c ) 17 , d ) none of these , e ) can not be determined
Answer: b
Input: Problem: a , b and c have rs . 250 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? 
Options: a ) a ) 300 , b ) b ) 290 , c ) c ) 280 , d ) d ) 270 , e ) e ) 66
Answer: a
Input: Problem: the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 60 minutes after it was poured was how many degrees fahrenheit ? 
Options: a ) 125 , b ) 95 , c ) 80 , d ) 61.8 , e ) 50
Answer: d
Input: 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
Answer: d
Input: Problem: evaluate : | 6 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? 
Options: a ) 40 , b ) 50 , c ) 72 , d ) 70 , e ) 80
Answer: c
Input: Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 110 , how much more remains to be paid ? 
Options: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,100 , e ) $ 1,210
Answer: b
Input: Problem: a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 42 adults have their meal , find the total number of children that can be catered with the remaining food . 
Options: a ) 33 , b ) 54 , c ) 36 , d ) 17 , e ) 01
Answer: c
Input: Problem: the ratio of the present ages of ramesh and mahesh is 2 : 5 . 10 years hence , the ratio of their ages will be 10 : 15 . find the difference in their present ages ? 
Options: a ) 7.5 , b ) 6 , c ) 5.5 , d ) 6.5 , e ) 5
Answer: a
Input: Problem: a batsman makes a score of 95 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning . 
Options: a ) 40 , b ) 50 , c ) 62 , d ) 45 , e ) 56
Answer: d
Input: Problem: lilly has 10 fish and rosy has 12 fish . in total , how many fish do they have in all ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26
Answer: c
Input: Problem: if 5 ^ 29 * 4 ^ 15 = 2 * 10 ^ n , what is the value of n ? 
Options: a ) 11 , b ) 21 , c ) 22 , d ) 29 , e ) 32
Answer: d
Input: Problem: find the average of first 5 multiples of 5 ? 
Options: a ) 10 , b ) 15 , c ) 12.5 , d ) 13 , e ) 21
Answer: b
Input: Problem: what is the remainder when 14,451 × 15,654 × 16,783 is divided by 5 ? 
Options: a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 5
Answer: c
Input: Problem: the average of 25 results is 24 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ? 
Options: a ) 740 , b ) 228 , c ) 690 , d ) 780 , e ) 458
Answer: b
Input: Problem: rahul is 30 years older than his daughter mary . in 20 years rahul will be twice as old as mary . what is mary current age . 
Options: a ) 12 , b ) 14 , c ) 10 , d ) 16 , e ) 18
Answer: c
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 q of a cube whose surface area is equal to 6 z ? 
Options: a ) q = 16 , b ) q = 8 √ 2 , c ) q = 8 , d ) q = 2 √ 2 , e ) ( √ 2 ) / 3
Answer: d
Input: Problem: a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction q of the sum of the 21 numbers in the list ? 
Options: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 4 / 21 , e ) 5 / 21
Answer: b
Input: Problem: find the sum of first 10 odd numbers 
Options: a ) 10 , b ) 40 , c ) 200 , d ) 100 , e ) 540
Answer: d
Input: Problem: the average of temperatures at noontime from monday to friday is 30 ; the lowest one is 20 , what is the possible maximum range of the temperatures ? 
Options: a ) 20 , b ) 25 , c ) 40 , d ) 45 , e ) 10
Answer: e
Input: Problem: a , b and c rents a pasture for rs . 638 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 270 , b ) 198 , c ) 676 , d ) 156 , e ) 122
Answer: b
Input: Problem: what is 982 * 982 ? 
Options: a ) 964,169 , b ) 964,219 , c ) 964,324 , d ) 975,019 , e ) 975,369
Answer: c
Input: Problem: a football player scores 2 goals in his fifth match thus increasing his average goals score by 0.1 . the total number of goals in his 5 matches would be 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Answer: c
Input: Problem: mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 46800 , how much amount per month would he have spent on clothes and transport ? 
Options: a ) 4038 , b ) 8076 , c ) 9691.2 , d ) 4845.6 , e ) 3900
Answer: e
Input: Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 90 , how many horses are there ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: e
Input: Problem: how many even number in the range between 8 to 100 inclusive are not divisible by 3 
Options: a ) 15 , b ) 30 , c ) 32 , d ) 33 , e ) 46
Answer: c
Input: Problem: if 15 ! / 3 ^ x is an integer , what is the greatest possible value of x ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 32 , find the sum of money ? 
Options: a ) 288 , b ) 262 , c ) 72 , d ) 205 , e ) 164
Answer: e
Input: Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 and f ( 0 ) = 1 , what is the value of f ( 2012 ) ? 
Options: a ) 222 , b ) 2787 , c ) 2013 , d ) 2778 , e ) 10222
Answer: c
Input: Problem: how many times digit 7 is used while writing numbers from 1 to 300 ? 
Options: a ) 28 , b ) 42 , c ) 41 , d ) 35 , e ) 49
Answer: b
Input: Problem: the average of first seven prime numbers which are between 30 and 70 is 
Options: a ) 35.4 , b ) 42 , c ) 44.4 , d ) 57 , e ) 67
Answer: c
Input: Problem: if ( a + b ) = 5 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ? 
Options: a ) 16 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 1 .
Answer: e
Input: Problem: which fraction should be added to : 1 / ( 2 ã — 3 ) + 1 / ( 3 ã — 4 ) + 1 / ( 4 ã — 5 ) + . . . . . . . + 1 / ( 23 ã — 24 ) so that the result is equal to 1 ? 
Options: a ) 7 / 24 , b ) 11 / 24 , c ) 13 / 24 , d ) 17 / 24 , e ) 19 / 24
Answer: c
Input: Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 5 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 ) 3 / 10 , b ) 7 / 10 , c ) 9 / 10 , d ) 9 / 20 , e ) 13 / 20
Answer: d
Input: Problem: q ' = 3 q - 3 , what is the value of ( 7 ' ) ' ? 
Options: a ) 6 , b ) 106 , c ) 206 , d ) 306 , e ) 406
Answer: d
Input: 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
Answer: c
Input: Problem: anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 12 coconut doughnuts , and 10 jam - filled doughnuts . how many doughnuts did anne buy in all ? 
Options: a ) 25 , b ) 34 , c ) 39 , d ) 21 , e ) 11
Answer: b
Input: Problem: a high school has 400 students 1 / 2 attend the arithmetic club , 5 / 8 attend the biology club and 3 / 4 attend the chemistry club . 3 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs . 
Options: a ) 35 , b ) 45 , c ) 55 , d ) 60 , e ) 50
Answer: e
Input: Problem: find the average of all numbers between 5 and 45 which are divisible by 6 
Options: a ) 26 , b ) 24 , c ) 28 , d ) 30 , e ) 35
Answer: c
Input: Problem: if the range q of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ? 
Options: a ) 0 , b ) 2 , c ) 12 , d ) 13 , e ) 15
Answer: d
Input: Problem: what is the 20 - fourth decimal to the right in the fraction 35 / 36 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively . when they meet , it is found that one train has traveled 60 km more than the other . what is the distance between the two stations ? 
Options: a ) 540 km , b ) 767 km , c ) 276 km , d ) 178 km , e ) 176 km
Answer: a
Input: Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ? 
Options: a ) 515 , b ) 545 , c ) 618 . , d ) 644 . , e ) 666
Answer: d
Input: Problem: the least number , which when divided by 48,60 , 72,108 and 140 leaves 38,50 , 62,98 and 130 as remainder respectively , is : 
Options: a ) 11115 , b ) 15110 , c ) 15120 , d ) 15210 , e ) 12510
Answer: b
Input: Problem: a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the difference of the numerator and denominator of the original fraction ? 
Options: a ) 49 , b ) 9 , c ) 28 , d ) 26 , e ) 21
Answer: b
Input: Problem: how many integerskgreater than 100 and less than 800 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Answer: b
Input: Problem: 15 years hence , rohan will be just 4 times as old as he was 15 years ago . how old is rohan at present ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40
Answer: b
Input: Problem: if x + 1 / x = 5 then find out the value of x ^ 5 + 1 / x ^ 5 = ? 
Options: a ) 2515 , b ) 2525 , c ) 2535 , d ) 2545 , e ) 2555
Answer: b
Input: Problem: if y is 90 % greater than x , than x is what % less than y ? 
Options: a ) 35.7 % , b ) 39.8 % , c ) 43.2 % , d ) 47.4 % , e ) 51.2 %
Answer: d
Input: Problem: running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 2 w widgets . 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Answer: e
Input: Problem: from below option 48 is divisible by which one ? 
Options: a ) a ) 3 , b ) b ) 5 , c ) c ) 9 , d ) d ) 7 , e ) e ) 11
Answer: a
Input: Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years . find the average age of the women ? 
Options: a ) 87 , b ) 98 , c ) 30 , d ) 29 , e ) 37
Answer: d
Input: Problem: a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 15 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? 
Options: a ) 450 . , b ) 459 . , c ) 432 . , d ) 502 . , e ) 522 .
Answer: a
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 28 . if n / j = 154.04 , what is value of j ? 
Options: a ) 400 , b ) 350 , c ) 700 , d ) 750 , e ) 800
Answer: c
Input: Problem: how many prime numbers are between 78 / 14 and 55 / 4 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: if - 3 x + 2 y = 28 and 3 x + 6 y = 84 , what is the product of x and y ? 
Options: a ) 264 . , b ) 428 , c ) 0 , d ) 462 , e ) 642
Answer: c
Input: Problem: the average of first five multiples of 4 is 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Answer: d
Input: Problem: if 12 : 8 : : x : 16 , then find the value of x 
Options: a ) 18 , b ) 24 , c ) 28 , d ) 16 , e ) 20
Answer: b
Input: Problem: what is the units digit of ( 147 ^ 25 ) ^ 50 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: e
Input: Problem: the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 30 ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: c
Input: Problem: the average of 13 result is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ? 
Options: a ) 35 , b ) 37 , c ) 46 , d ) 48 , e ) 50
Answer: c
Input: Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 10 years hence ? 
Options: a ) 58 , b ) 59 , c ) 62 , d ) 70 , e ) 80
Answer: e
Input: Problem: find the smallest number of four digits exactly divisible by 4 , 5,7 and 8 . 
Options: a ) 1150 , b ) 1160 , c ) 1140 , d ) 1152 , e ) 1145
Answer: b
Input: Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 914800 , how many months will it take joan to pay back her mortgage ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 9 , e ) 13
Answer: d
Input: Problem: find the smallest number of 6 digits exactly divisible by 25 , 3545 and 15 . 
Options: a ) 100555 , b ) 100775 , c ) 100885 , d ) 100995 , e ) 100665
Answer: b
Input: Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 30 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of 
Options: a ) 18 % , b ) 20 % , c ) 30 % , d ) 23 % , e ) can not be determined
Answer: c
Input: Problem: the difference between the place value and the face value of 6 in the numerical 856973 is 
Options: a ) 973 , b ) 6973 , c ) 5994 , d ) 9554 , e ) none of them
Answer: c
Input: Problem: rahim bought 50 books for rs . 1000 from one shop and 40 books for rs . 800 from another . what is the average price he paid per book ? 
Options: a ) 28 , b ) 20 , c ) 27 , d ) 29 , e ) 21
Answer: b
Input: Problem: let p be a prime number greater than 2 and let n = 14 p . how many even numbers divide n ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: find the ones digit of 73 ^ 300 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 10
Answer: e
Input: Problem: if ( c - a ) / ( c - b ) = 1 , then ( 5 b - 3 a ) / ( c - a ) = 
Options: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 2.5
Answer: d
Input: Problem: the average age of 20 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher . 
Options: a ) 35 , b ) 38 , c ) 45 , d ) 36 , e ) 60
Answer: d
Input: Problem: 8 people decided to split the restaurant bill evenly . if the bill was $ 314.12 dollars , how much money did they 1 cent is the smallest unit ? 
Options: a ) $ 314.16 , b ) $ 314.17 , c ) $ 314.18 , d ) $ 314.19 , e ) $ 314.20
Answer: a
Input: Problem: the average salary / head of allthe workers in a workshop is rs . 1200 , if the average salary / head of 10 technician is rs . 1400 and the average salary / head of the rest is rs . 900 , the total no . of workers in the work - shop is ? 
Options: a ) 18 , b ) 17 , c ) 15 , d ) 19 , e ) 21
Answer: b
Input: Problem: when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 6 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ? 
Options: a ) 3 / 10 , b ) 2 / 5 , c ) 1 / 2 , d ) 2 / 3 , e ) 6 / 5
Answer: c
Input: Problem: arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 13 from the product of their ages a year from today . what is their age today ? 
Options: a ) 2 . , b ) 6 . , c ) 5 . , d ) 7 . , e ) 9 .
Answer: b
Input: Problem: how many pairs ( r , r + 1 ) have one or more prime factors common , where r is an integer and 2 ≤ r ≤ 9 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: the average of 13 numbers is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th number ? 
Options: a ) 43 , b ) 30 , c ) 35 , d ) 45 , e ) 50
Answer: a
Input: Problem: 1 , 6 , 16 , 31 , 51 , ( . . . . ) 
Options: a ) 61 , b ) 66 , c ) 76 , d ) 86 , e ) 83
Answer: b
Input: Problem: if there are 4 peanuts in a box and mary puts 8 more peanuts inside , how many peanuts are in the box ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: e
Input: Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 25 and the slope of line segment ac is 4 / 3 , what is the length of ab ? 
Options: a ) 12 , b ) 18 , c ) 24 , d ) 20 , e ) 40
Answer: d
Input: Problem: the rate of interest on a sum of money is 5 % p . a . for the first 3 years , 4 % p . a . for the next 4 years , and 5 % for the period beyond 7 years . if the s . i , occured on the sum for the total period of 8 years is rs . 540 / - , the sum is 
Options: a ) 1,500 , b ) 2,000 , c ) 2,100 , d ) 2,250 , e ) 2,540
Answer: a
Input: Problem: a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 80 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ? 
Options: a ) 10 % , b ) 8 % , c ) 6 % , d ) 4 % , e ) 2 %
Answer: d
Input: Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 47 ) is : 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0
Answer: a
Input: Problem: in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 45000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 60 , e ) 80
Answer: e
Input: Problem: if 250 ! / 10 ^ n is an integer , what is the largest possible value of n ? 
Options: a ) 65 , b ) 66 , c ) 62 , d ) 69 , e ) 97
Answer: c
Input: Problem: what is the smallest positive integer x such that 66 - x is the cube of a positive integer 
Options: a ) 5 , b ) 7 , c ) 47 , d ) 9 , e ) 2
Answer: e
Input: Problem: a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1200 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 1200 more than that by the previous schema , his sales were worth ? 
Options: a ) 12028 , b ) 12000 , c ) 12019 , d ) 16000 , e ) 12012
Answer: d
Input: Problem: 36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203 . what is the first part ? 
Options: a ) 19 , b ) 88 , c ) 267 , d ) 26 , e ) 28
Answer: a
Input: Problem: the value of ( 34.31 * 0.473 * 1.567 ) / ( 0.0673 * 23.5 * 7.57 ) is close to 
Options: a ) 2 , b ) 1.15 , c ) 2.05 , d ) 2.12 , e ) 2.35
Answer: d
Input: Problem: an object thrown directly upward is at a height of h feet after t seconds , where h = - 12 ( t - 3 ) ^ 2 + 120 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ? 
Options: a ) 48 , b ) 54 , c ) 60 , d ) 66 , e ) 72
Answer: e
Input: Problem: if 3 x + y = 40 , 2 x - y = 20 , for integers of x and y , 4 y ^ 2 = ? 
Options: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 64
Answer: e
Input: Problem: find the next term 88 , 62 , . . ? 
Options: a ) - 2 , b ) - 4 , c ) - 6 , d ) - 8 , e ) - 9
Answer: b
Input: Problem: if a ( a - 7 ) = 8 and b ( b - 7 ) = 8 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 2 , c ) 2 , d ) 7 , e ) 48
Answer: d
Input: Problem: the difference of two numbers is 11 . one third of their sum is 7 . what are the two numbers ? 
Options: a ) 21,10 , b ) 16,5 , c ) 3,14 , d ) 11,10 , e ) 7,14
Answer: b
Input: Problem: if a is an integer greater than 9 but less than 26 and b is an integer greater than 14 but less than 31 , what is the range of a / b ? 
Options: a ) 1 , b ) 1 / 2 , c ) 5 / 6 , d ) 2 / 3 , e ) 4 / 3
Answer: e
Input: Problem: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random . what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ? 
Options: a ) 1 / 2 , b ) 2 / 5 , c ) 8 / 15 , d ) 9 / 20 , e ) none
Answer: d
Input: Problem: find value for x from below equation ? x + 1 = 4 
Options: a ) - 5 , b ) - 4 , c ) 4 , d ) 3 , e ) 2
Answer: d
Input: Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 2.50 + 0.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ? 
Options: a ) $ 2.50 , b ) $ 3.00 , c ) $ 3.50 , d ) $ 4.00 , e ) $ 5.00
Answer: d
Input: Problem: if n = 5 ^ 11 – 5 , what is the units digit of n ? 
Options: a ) 0 , b ) 1 , c ) 4 , d ) 6 , e ) 8
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 . 3.20 lacs . how many workers were they ? 
Options: a ) 220 , b ) 400 , c ) 500 , d ) 560 , e ) 590
Answer: b
Input: Problem: when the positive integer a is divided by 11 , the quotient is b and the remainder 3 . when a is divided by 19 , the remainder is also 3 . what is the remainder when b is divided by 19 ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: e
Input: Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 90 , what is the value of c â ˆ ’ a ? 
Options: a ) 25 , b ) 90 , c ) 100 , d ) 140 , e ) it can not be determined from the information given
Answer: b
Input: Problem: the unit digit in the product ( 784 x 618 x 917 x 463 ) is : 
Options: a ) 5 , b ) 9 , c ) 16 , d ) 2 , e ) 42
Answer: d
Input: Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 135 . what is that number ? 
Options: a ) 12 , b ) 29 , c ) 20 , d ) 15 , e ) 99
Answer: c
Input: Problem: if w / x = 5 / 7 and w / y = 4 / 7 , then ( x + y ) / y = 
Options: a ) 1 / 2 , b ) 7 / 3 , c ) 6 / 7 , d ) 1 / 5 , e ) 11 / 13
Answer: b
Input: Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 72 ? 
Options: a ) 142 , b ) 152 , c ) 124 , d ) 160 , e ) 184
Answer: b
Input: Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 22050 / - in 3 years at the same rate of interest . find the rate percentage ? 
Options: a ) 5 % , b ) 7 % , c ) 9 % , d ) 11 % , e ) 25 %
Answer: e
Input: Problem: a man has $ 480 in the denominations of one - dollar , 5 - dollar notes and 10 - dollar . the number of dollars of each denomination is equal . what is the total number of dollar that he has ? 
Options: a ) 50 , b ) 60 , c ) 90 , d ) 48 , e ) 67
Answer: c
Input: Problem: 4.509 / 10.02 = 
Options: a ) 0.45 , b ) 0.3505 , c ) 0.3509 , d ) 0.351 , e ) 0.3527
Answer: a
Input: Problem: when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 7 ] * [ 8 ] = ? 
Options: a ) [ 22 ] , b ) [ 44 ] , c ) [ 75 ] , d ) [ 88 ] , e ) [ 90 ]
Answer: c
Input: Problem: marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 30 % . what percent of the projected revenue was the actual revenue ? 
Options: a ) 50 % , b ) 58 % , c ) 62.5 % , d ) 64 % , e ) 75 %
Answer: a
Input: Problem: given that x and y are events such that z ( x ) = 0.02 z ( y ) = 0.10 z ( xny ) = 0.10 z ( x | y ) = find z ( x | y ) and z ( x | y ) 
Options: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 6 , d ) 1 / 4 , e ) 1 / 2
Answer: a
Input: Problem: in a group of cows and hens , the number of legs are 18 more than twice the number of heads . the number of cows is 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 12 , e ) 14
Answer: c
Input: Problem: the vertex of a rectangle are ( 1 , 0 ) , ( 5 , 0 ) , ( 1 , 1 ) and ( 5 , 1 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ? 
Options: a ) 1 / 2 , b ) 2 , c ) 1 / 6 , d ) 3 , e ) 1 / 4
Answer: c
Input: Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 200 when the rate to profit rises from 5 to 7 percent . find the capital of a ? 
Options: a ) 3377 , b ) 2899 , c ) 2500 , d ) 2778 , e ) 10000
Answer: e
Input: Problem: the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 15 . what is the last numbers ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 5 , e ) 7
Answer: c
Input: Problem: a ’ s speed is 51 / 44 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? 
Options: a ) 1 / 51 , b ) 4 / 51 , c ) 7 / 51 , d ) 3 / 44 , e ) 7 / 44
Answer: c
Input: Problem: a special municipal payroll tax charges not tax on a payroll less than $ 250,000 and only 0.1 % on a company ’ s payroll above $ 250,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of 
Options: a ) $ 450,000 , b ) $ 202,000 , c ) $ 220,000 , d ) $ 400,000 , e ) $ 2 , 200,000
Answer: a
Input: Problem: a man is 24 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? 
Options: a ) 11 , b ) 25 , c ) 27 , d ) 22 , e ) 91
Answer: d
Input: Problem: in 70 liters of a mixture of milk and water , the quantity of water is 10 % . how much water should be added so that new mixture may 25 % water . 
Options: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18
Answer: a
Input: Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 30 as remainder . find the no . is ? 
Options: a ) 122443 , b ) 154546 , c ) 165454 , d ) 186545 , e ) 220030
Answer: e
Input: Problem: what is the least number . which should be added to 0.0478 to make it a perfect square ? 
Options: a ) 0.0002 , b ) 0.0004 , c ) 0.0006 , d ) 0.0008 , e ) 0.001
Answer: c
Input: Problem: a class of 20 students took a science test . 10 students had an average ( arithmetic mean ) score of 80 . the other students had an average score of 60 . what is the average score of the whole class ? 
Options: a ) 70 , b ) 60 , c ) 55 , d ) 65 , e ) 85
Answer: a
Input: Problem: the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 202 to 300 inclusive ? 
Options: a ) 5,150 , b ) 7,550 , c ) 10,150 , d ) 12,550 , e ) 20,150
Answer: d
Input: Problem: a 6 - liter solution is 30 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? 
Options: a ) 1.8 , b ) 2.1 , c ) 2.4 , d ) 2.7 , e ) 3.0
Answer: c
Input: Problem: if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 2 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ? 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 10 / 3 , d ) 2 , e ) 4
Answer: c
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 . 1600 ? 
Options: a ) 3000 , b ) 4200 , c ) 2025 , d ) 1205 , e ) 3251
Answer: c
Input: Problem: a man whose bowling average is 12.4 , takes 6 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ? 
Options: a ) 113 , b ) 114 , c ) 115 , d ) 116 , e ) 117
Answer: c
Input: Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1032 in total compensation , how many total hours did he work that week ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 54
Answer: e
Input: Problem: if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 3 , in terms of s ? 
Options: a ) s / 2 , b ) s , c ) 2 s , d ) 3 s , e ) 4 s
Answer: d
Input: Problem: solve the equation for x : 8 x - 40 + 2 x = 5 + 10 - x 
Options: a ) 4 , b ) 10 , c ) 7 , d ) 5 , e ) 3
Answer: d
Input: Problem: the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 132 . what is the number of frogs in the pond ? 
Options: a ) 148 , b ) 134 , c ) 156 , d ) 144 , e ) none
Answer: b
Input: Problem: if √ 2 n = 64 , then the value of n is : 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 48 , e ) none
Answer: b
Input: Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 186 cms . what was the ratio of men to women ? 
Options: a ) 5 : 2 , b ) 5 : 1 , c ) 5 : 3 , d ) 4 : 1 , e ) 3 : 1
Answer: c
Input: Problem: let p and q be the root of the quadratic equation x 2 - ( ∝ - 2 ) x - ∝ - 1 = 0 . what is the minimum possible value of p 2 + q 2 ? 
Options: a ) 0 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: d
Input: Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 5 years older than b , the present age of b is 
Options: a ) 35 , b ) 37 , c ) 39 , d ) 41 , e ) 42
Answer: a
Input: Problem: yearly subscription to professional magazines cost a company $ 940.00 . to make a 50 % cut in the magazine budget , how much less must be spent ? 
Options: a ) 654 , b ) 655 , c ) 656 , d ) 657 , e ) 470
Answer: e
Input: Problem: find the lowest positive integer that can be divided by all the even numbers between 14 and 21 . 
Options: a ) 4581 , b ) 5040 , c ) 3682 , d ) 1231 , e ) 1563
Answer: b
Input: Problem: if a * b = 2 a - 3 b + ab , then 3 * 5 + 5 * 3 is equal to : 
Options: a ) 22 , b ) 37 , c ) 38 , d ) 398 , e ) 72
Answer: a
Input: Problem: taequan is playing a dice game where he rolls two , fair , 6 - sided dice twice . if he gets the same roll on his second try as his first , he wins . if he rolled an 8 on his first try , what is the probability that he will win with his second roll ? 
Options: a ) 1 / 18 , b ) 1 / 12 , c ) 1 / 9 , d ) 1 / 6 , e ) 5 / 36
Answer: e
Input: Problem: the sum of present age of abe and the age before 7 years is 37 . find the present age of abe . what will be his age after 7 years ? 
Options: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29
Answer: e
Input: Problem: the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.7 kg . the weight of the new student is ? 
Options: a ) 10.6 kg , b ) 10.8 kg , c ) 11 kg , d ) 14.9 kg , e ) none
Answer: e
Input: 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
Answer: b
Input: Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 170 , what is the value of a − c ? 
Options: a ) − 120 , b ) − 100 , c ) 100 , d ) 135 , e ) it can not be determined from the information given
Answer: a
Input: Problem: in a certain game of dice , the player ’ s score is determined as a sum of two throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if jim plays this game against 21 other players , what is the probability of the minimum score that will guarantee jim some monetary payoff ? 
Options: a ) 41 / 50 , b ) 1 / 221 , c ) 1 / 216 , d ) 1 / 36 , e ) 1 / 42
Answer: d
Input: Problem: the result when a number subtracted from 150 is the same as the number added to 68 . what is the number ? 
Options: a ) 110 , b ) 100 , c ) 109 , d ) 218 , e ) 210
Answer: c
Input: Problem: the total age of a and b is 15 years more than the total age of b and c . c is how many years younger than a ? 
Options: a ) 12 , b ) 15 , c ) c is elder than a , d ) data inadequate , e ) none
Answer: b
Input: Problem: a frog can climb up a well at 3 ft per min but due to slipperiness of the well , frog slips down 2 ft before it starts climbing the next minute . if the depth of the well is 57 ft , how much time will the frog take to reach the top ? 
Options: a ) 29 , b ) 27 , c ) 55 , d ) 17 , e ) 10
Answer: c
Input: Problem: x is a positive integer of t less than 500 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: d
Input: Problem: if x : y = 2 : 9 , find the value of ( 2 x + 2 y ) : ( 5 x – y ) 
Options: a ) 22 : 1 , b ) 22 : 3 , c ) 7 : 1 , d ) 5 : 3 , e ) 8 : 1
Answer: a
Input: Problem: what is the smallest positive integer x such that 80 - x is the cube of a positive integer 
Options: a ) 16 , b ) 12 , c ) 47 , d ) 9 , e ) 12
Answer: a
Input: Problem: a certain country had a total annual expenditure of $ 9.6 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? 
Options: a ) $ 500 , b ) $ 1,000 , c ) $ 2,000 , d ) $ 3,000 , e ) $ 4,000
Answer: e
Input: Problem: in a river flowing at 2 km / hr , a boat travels 64 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time . 
Options: a ) 10 hours , b ) 12 hours , c ) 14 hours , d ) 24 hours , e ) none of these
Answer: d
Input: Problem: average of 10 matches is 34 , how many runs one should should score to increase his average by 4 runs . 
Options: a ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 80 , e ) e ) 88
Answer: c
Input: Problem: when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 21 ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: a
Input: Problem: last year , for every 100 million vehicles that traveled on a certain highway , 80 vehicles were involved in accidents . if 4 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) 
Options: a ) 1600 , b ) 3200 , c ) 800 , d ) 400 , e ) 200
Answer: b
Input: Problem: what is the largest integral value of ' k ' for which the quadratic equation x 2 - 6 x + k = 0 will have two real and distinct roots ? 
Options: a ) 9 , b ) 7 , c ) 3 , d ) 8 , e ) 12
Answer: d
Input: Problem: tom reads at an average rate of 30 pages per hour , while jan reads at an average rate of 41 pages per hour . if tom starts reading a novel at 3 : 20 , and jan begins reading an identical copy of the same book at 4 : 26 , at what time will they be reading the same page ? 
Options: a ) 6 : 26 , b ) 6 : 56 , c ) 7 : 26 , d ) 7 : 56 , e ) 8 : 26
Answer: c
Input: Problem: if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 16 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ? 
Options: a ) - 16 , b ) - 10 , c ) 0 , d ) 14 , e ) 16
Answer: b
Input: Problem: what is the hcf of 2 / 3 , 4 / 10 and 6 / 5 
Options: a ) 7 / 45 , b ) 1 / 15 , c ) 4 / 15 , d ) 8 / 45 , e ) 9 / 45
Answer: b
Input: Problem: if p is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: c
Input: Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 36 instead of 66 then find the correct average marks up to two decimal places . 
Options: a ) 72.85 , b ) 74.31 , c ) 72.43 , d ) 73.43 , e ) can not be determined
Answer: a
Input: Problem: a bakery has 6 employees . it pays annual salaries of $ 18,000 to each of 2 employees , $ 20,000 to 1 employee , and $ 21,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? 
Options: a ) $ 19,200 , b ) $ 19,500 , c ) $ 19,800 , d ) $ 20,000 , e ) $ 20,400
Answer: c
Input: Problem: a basketball player practices 2 hours a day monday through friday . how many hours must he practice saturday and sunday combined if he wants to practice an average ( arithmetic mean ) of 3 hours a day for the 7 day week ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: d
Input: Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 8 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1557.9 , c ) 1378 , d ) 1635 , e ) 1489
Answer: b
Input: Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 140 , then how much amount should c pay as his share of rent ? 
Options: a ) 35 , b ) 45 , c ) 25 , d ) 36 , e ) 55
Answer: d
Input: Problem: what is the least integer greater than 1 + 0.5 ? 
Options: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2
Answer: e
Input: Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 180 . if the ratio of his marks in english and maths is 1 : 2 , find his marks in science ? 
Options: a ) 19 , b ) 77 , c ) 66 , d ) 55 , e ) 31
Answer: a
Input: Problem: the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 15000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is 
Options: a ) rs . 7000 , b ) rs . 8000 , c ) rs . 8800 , d ) rs . 9000 , e ) none
Answer: c
Input: Problem: what is the sum of all remainders obtained when the first 130 natural numbers are divided by 9 ? 
Options: a ) 397 , b ) 401 , c ) 403 , d ) 412 , e ) 399
Answer: d
Input: Problem: solve below question 2 x + 1 = - 15 
Options: a ) - 8 , b ) - 9 , c ) 9 , d ) 8 , e ) - 7
Answer: a
Input: Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 50 % have red flags , what percentage of children have flags of both the colors ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) it can not be determined
Answer: b
Input: Problem: the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 78 , and last 6 numbers is 75 then find 6 th number ? 
Options: a ) a ) 258 , b ) b ) 65 , c ) c ) 58 , d ) d ) 62 , e ) e ) 48
Answer: a
Input: Problem: if x / y = 7 / 3 , then ( x + y ) / ( x - y ) = ? 
Options: a ) 5 , b ) 5 / 2 , c ) - 1 / 6 , d ) - 1 / 5 , e ) - 5
Answer: b
Input: Problem: the equal amounts of money are deposited in two banks each at 15 % per annum for 3.5 years and 5 years respectively . if the difference between their interests is rs . 144 , find the each sum ? 
Options: a ) 640 , b ) 500 , c ) 3000 , d ) 1000 , e ) 2000
Answer: a
Input: Problem: a grocer has a sale of rs . 6435 , 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 . 6600 ? 
Options: a ) s . 4991 , b ) s . 5591 , c ) s . 6001 , d ) s . 6991 , e ) s . 7991
Answer: b
Input: Problem: the average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results ? 
Options: a ) 24 , b ) 25 , c ) 48 , d ) 50 , e ) none
Answer: c
Input: Problem: let c be defined as the sum of all prime numbers between 0 and 38 . what is c / 3 
Options: a ) 155 , b ) 76.6 , c ) 61 , d ) 47 , e ) 43
Answer: b
Input: Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum s of all the even integers between 99 and 301 ? 
Options: a ) 10,100 , b ) 20,200 , c ) 22,650 , d ) 40,200 , e ) 45,150
Answer: b
Input: Problem: a number is mistakenly divided by 5 instead of being multiplied by 5 . find the percentage change in the result due t this mistake . 
Options: a ) 96 % , b ) 95 % , c ) 2400 % , d ) 200 % , e ) 400 %
Answer: a