Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: if 625 ( 5 ^ x ) = 1 then x = 
Options: a ) – 2 , b ) - 4 , c ) 0 , d ) - 1 , e ) 2
Answer: b
Input: Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container m ? 
Options: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42
Answer: c
Input: Problem: a person saved $ 10 in buying an item on sale . if he spent $ 100 for the item , approximately how much percent he saved in the transaction ? 
Options: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %
Answer: b
Input: Problem: a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30 % of the original number . what percent of the red candies remain ? 
Options: a ) 22.5 % , b ) 31.5 % , c ) 37.5 % , d ) 42.5 % , e ) 46.5 %
Answer: c
Input: Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters q long ? 
Options: a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 3
Answer: b
Input: Problem: 850 - ( 1500 ÷ ? ) × 8 / 15 = 770 
Options: a ) a ) 31 , b ) b ) 10 , c ) c ) 15 , d ) d ) 26 , e ) e ) 17
Answer: b
Input: Problem: on day one , a store sold 96 pens . on each of the next d days , the company sold 44 pens . if the average daily sales of pens over this time period ( including day one ) is 48 pens , what is the value of d ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Answer: d
Input: Problem: what is the remainder when 14,456 × 15,657 × 16,788 is divided by 10 ? 
Options: a ) 6 , b ) 8 , c ) 4 , d ) 3 , e ) 2
Answer: a
Input: Problem: 1 / 2 - [ ( 2 / 7 * 7 / 32 ) + 1 ] + 9 / 16 = 
Options: a ) 29 / 16 , b ) 19 / 16 , c ) 15 / 16 , d ) 9 / 13 , e ) 0
Answer: e
Input: Problem: in a office work is distribute between p persons . if 1 / 8 members are absent then work increased for each person is ? 
Options: a ) 13.28 % , b ) 14.28 % , c ) 15.28 % , d ) 16.28 % , e ) 17.28 %
Answer: b
Input: Problem: find the average of all numbers between 1 and 13 which are divisible by 2 
Options: a ) 15 , b ) 21 , c ) 25 , d ) 30 , e ) 35
Answer: b
Input: Problem: dan ' s age after 16 years will be 6 times his age 4 years ago . what is the present age of dan ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: a
Input: Problem: what is the value of n if the sum of the consecutive odd intergers q from 1 to n equals 169 ? 
Options: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29
Answer: b
Input: Problem: the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 70 per cent . the two reductions together are equal to a single reduction of 
Options: a ) 45 % , b ) 40 % , c ) 35 % , d ) 77.5 % , e ) 30 %
Answer: d
Input: Problem: a batsman scored 90 runs which included 2 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets . 
Options: a ) 40 % , b ) 50 % , c ) 57 % , d ) 60 % , e ) 80 %
Answer: c
Input: Problem: the average age of 50 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher . 
Options: a ) 30 , b ) 65 , c ) 60 , d ) 55 , e ) 56
Answer: b
Input: Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 55 ) is : 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0
Answer: a
Input: Problem: what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 600 inclusive ? 
Options: a ) 190 , b ) 195 , c ) 305 , d ) 205 , e ) 210
Answer: c
Input: Problem: 5 friends visited a fruit stall , and everyone decided to contribute equally to the total bill of $ 100 . if one of the friends had a coupon for 6 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ? 
Options: a ) 18 , b ) 18.8 , c ) 19 , d ) 17.8 , e ) 17.9
Answer: b
Input: Problem: find the smallest number of five digits exactly divisible by 24 , 48,64 and 88 . 
Options: a ) 11952 , b ) 11852 , c ) 11752 , d ) 11652 , e ) 11552
Answer: a
Input: Problem: when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction e of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ? 
Options: a ) 11 / 14 , b ) 13 / 18 , c ) 4 / 7 , d ) 3 / 7 , e ) 3 / 14
Answer: a
Input: Problem: if the number of white balls in a box are 6 times the black balls , which of the below is the total number of balls , if there are 8 black balls in the box ? 
Options: a ) a - 56 , b ) b - 57 , c ) c - 58 , d ) d - 59 , e ) e - 60
Answer: a
Input: Problem: in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? 
Options: a ) 0.9 , b ) 0.7 , c ) 0.45 , d ) 0.3 , e ) 0.25
Answer: b
Input: Problem: there are 3 prizes to be distributed among 10 students . if no students gets more than one prize , then this can be done in ? 
Options: a ) 10 , b ) 45 , c ) 95 , d ) 120 , e ) none of these
Answer: d
Input: Problem: in a certain company , the ratio of male to female employees is 7 : 8 . if 3 more men were hired , this ratio would increase to 8 : 9 . how many male employees are there in the company ? 
Options: a ) 6 , b ) 21 , c ) 27 , d ) 189 , e ) 192
Answer: d
Input: Problem: xy = 2 then what is ( 2 ^ ( x + y ) ^ 2 ) / ( 2 ^ ( x - y ) ^ 2 ) 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 256
Answer: e
Input: Problem: company c sells a line of 25 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 12 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ? 
Options: a ) 10,000 , b ) 11.0 , c ) 12,000 , d ) 13,200 , e ) 14,000
Answer: d
Input: Problem: what is the smallest integer x such that 2 x + 2 is divisible by 33 , 44 , 55 , and 666 ? 
Options: a ) x = 53186760 , b ) x = 26593379 , c ) x = 73260 , d ) x = 36629 , e ) x = 6666
Answer: d
Input: Problem: what is the units digit of 33 ^ 2 * 17 ^ 3 * 39 ^ 2 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: d
Input: Problem: the overall age of x and y is 10 year greater than the overall age of y and z . z is how many decades younger that x ? 
Options: a ) 11 , b ) 10 , c ) 12 , d ) 17 , e ) 19
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 40 % and 20 % 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 ) 21 % , d ) 33 % , e ) can not be determined
Answer: d
Input: Problem: mike earns $ 14 per hour and phil earns $ 7 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? 
Options: a ) 25 % , b ) 32.5 % , c ) 37 % , d ) 50 % , e ) 40 %
Answer: d
Input: Problem: for what values of k will the pair of equations 3 x + 4 y = 12 and ( kx + 12 y ) / 2 = 15 does not have a unique solution ? 
Options: a ) 12 , b ) 9 , c ) 3 , d ) 7.5 , e ) 2.5
Answer: b
Input: Problem: what is the remainder when 1250 * 1040 * 1057 * 1145 is divided by 32 ? 
Options: a ) 3 , b ) 5 , c ) 0 , d ) 2 , e ) 9
Answer: c
Input: Problem: the ratio 6 : 5 expressed as a percent equals 
Options: a ) 12.5 % , b ) 40 % , c ) 120 % , d ) 125 % , e ) none
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 46 instead of 56 then find the correct average marks up to two decimal places . 
Options: a ) 73.41 , b ) 72.28 , c ) 72.43 , d ) 73.43 , e ) can not be determined
Answer: b
Input: Problem: at company x , senior sales representatives visit the home office once every 12 days , and junior sales representatives visit the home office once every 8 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? 
Options: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %
Answer: d
Input: Problem: ( 2 ^ 2 + 4 ^ 2 + 6 ^ 2 + . . . . . + 14 ^ 2 ) = ? 
Options: a ) 88 , b ) 560 , c ) 99 , d ) 550 , e ) 540
Answer: b
Input: Problem: the mean proportional between 4 and 16 is ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: e
Input: Problem: robert ate 10 chocolates , nickel ate 5 chocolates . how many more chocolates did robert ate than nickel ? 
Options: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2
Answer: d
Input: Problem: a miniature roulette wheel is divided into 9 equal sectors , each bearing a distinct integer from 1 to 9 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun three times , approximately what is the probability that the product of the three winning sectors ’ integers will be even ? 
Options: a ) 50 % , b ) 67 % , c ) 83 % , d ) 90 % , e ) 96 %
Answer: c
Input: Problem: what will be the vulgar fraction of 0.8 
Options: a ) 3 / 5 , b ) 4 / 5 , c ) 3 / 2 , d ) 3 / 7 , e ) 3 / 8
Answer: b
Input: Problem: what are the last two digits of ( 301 * 402 * 502 * 604 * 646 * 547 * 448 * 349 ) ^ 2 
Options: a ) 96 , b ) 76 , c ) 56 , d ) 36 , e ) 16
Answer: c
Input: Problem: when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 15 % water ? 
Options: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.9 kg , e ) none of these
Answer: c
Input: Problem: if the price of a certain bond on may 1 st was 3 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? 
Options: a ) 50 % , b ) 75 % , c ) 118.5 % , d ) 133 1 / 3 % , e ) 150 %
Answer: c
Input: Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum t of all the digits of the integers from 0 to 99 inclusive ? 
Options: a ) 450 , b ) 810 , c ) 900 , d ) 1000 , e ) 1100
Answer: c
Input: Problem: the age of somu is one - third his father ' s . 10 years back he was one - fifth of his father ' s age . what is his persent age ? 
Options: a ) 11 , b ) 13 , c ) 14 , d ) 12 , e ) 20
Answer: e
Input: Problem: divide rs . 1700 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) 346 , b ) 425 , c ) 375 , d ) 337 , e ) 639
Answer: b
Input: Problem: sum of the squares of 3 no . is 149 and the sum of their products taken two at a time is 70 . find the sum ? 
Options: a ) 17 , b ) 19 , c ) 21 , d ) 13 , e ) 18
Answer: a
Input: Problem: a club wants to mix 25 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70
Answer: c
Input: Problem: divide rs . 800 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) s . 800 , b ) s . 200 , c ) s . 600 , d ) s . 500 , e ) s . 900
Answer: b
Input: Problem: a baker makes chocolate cookies and peanut cookies . his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6 . if he makes exactly 97 cookies , what is the minimum number of chocolate chip cookies he makes ? 
Options: a ) 7 , b ) 14 , c ) 21 , d ) 35 , e ) 49
Answer: a
Input: Problem: if 30 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ? 
Options: a ) 50.5 % , b ) 44.4 % , c ) 22.2 % , d ) 33.3 % , e ) 20 %
Answer: e
Input: Problem: 12 is 6 % of a , and 6 is 12 % of b . c equals b / a . what is the value of c ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 12
Answer: c
Input: Problem: a certain no . when divided by 20 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Answer: a
Input: Problem: if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 2 , then what is the value of abc / def ? 
Options: a ) 27 / 4 , b ) 27 / 8 , c ) 3 / 4 , d ) 3 / 8 , e ) 1 / 4
Answer: c
Input: Problem: if x is 30 percent greater than 88 , then x = 
Options: a ) 68 , b ) 70.4 , c ) 86 , d ) 114.4 , e ) 108
Answer: d
Input: Problem: find large number from below question the difference of two numbers is 1380 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1245 , b ) 1345 , c ) 1455 , d ) 1577 , e ) 1653
Answer: e
Input: Problem: 60 percent of movie theatres in town x have 1 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ? 
Options: a ) 12 , b ) 18 , c ) 32 , d ) 40 , e ) 44
Answer: d
Input: Problem: in a certain warehouse , 70 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? 
Options: a ) 8 , b ) 64 , c ) 120 , d ) 102 , e ) 144
Answer: c
Input: Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.8 kg . the weight of the new student is 
Options: a ) 22 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) 23 kg
Answer: a
Input: Problem: marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 35 % . what percent of the projected revenue was the actual revenue ? 
Options: a ) 54.2 % , b ) 58 % , c ) 62.5 % , d ) 64 % , e ) 75 %
Answer: a
Input: Problem: there are two numbers . if 20 % of the first number is added to the second number , then the second number increases to its 5 - fourth . what is the ratio of the first number to the second number ? 
Options: a ) 2 : 9 , b ) 3 : 8 , c ) 8 : 5 , d ) 5 : 4 , e ) 7 : 3
Answer: d
Input: Problem: find large number from below question the difference of two numbers is 2415 . on dividing the larger number by the smaller , we get 21 as quotient and the 15 as remainder 
Options: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1300 , e ) 2535
Answer: e
Input: Problem: if a ( a - 8 ) = 9 and b ( b - 8 ) = 9 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 2 , c ) 8 , d ) 9 , e ) 48
Answer: c
Input: 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
Answer: b
Input: Problem: carina has 130 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: d
Input: Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 6,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? 
Options: a ) 3,500 , b ) 24,500 , c ) 25,500 , d ) 26,500 , e ) 27,500
Answer: a
Input: Problem: the smallest number when increased by ` ` 2 ` ` is exactly divisible by 12 , 30 , 48 , 74 and 100 is : 
Options: a ) 14439 , b ) 44398 , c ) 44400 , d ) 44402 , e ) 15005
Answer: b
Input: Problem: if n divided by 7 has a remainder of 1 , what is the remainder when 3 times n is divided by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Answer: c
Input: Problem: a certain tests consists 8 sections with 25 questions , numbered from 1 to 25 , in each section . if a student answered all of the even - numbered questions correctly and 3 / 4 of the odd - numbered questions correctly , what was the total number of questions he answered correctly ? a . 150 b . 172 c . 174 d . 175 e . 176 
Options: a ) 174 , b ) 150 , c ) 180 , d ) 175 , e ) 190
Answer: a
Input: Problem: in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 115 ? 
Options: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29
Answer: c
Input: Problem: for a certain exam , a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean . what was the mean score for the exam ? 
Options: a ) 50 , b ) 55 , c ) 48 , d ) 42 , e ) 49
Answer: c
Input: Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 3 . if p is less than – 2 , what is the value of p ? 
Options: a ) – 12 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14
Answer: a
Input: Problem: the average of first four prime numbers greater than 20 is ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Answer: c
Input: Problem: find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ? 
Options: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 9 , 3,32 , d ) 9 , 6,12 , e ) 9 , 2,23
Answer: d
Input: Problem: if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 32 ? 
Options: a ) 2 / 7 , b ) 3 / 7 , c ) 1 / 16 , d ) 1 / 14 , e ) 1 / 12
Answer: c
Input: Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men â € ™ s wages are ? 
Options: a ) rs . 6 , b ) rs . 6.5 , c ) rs . 8 , d ) rs . 5 , e ) rs . 2
Answer: a
Input: Problem: linda spent 5 / 6 of her savings on furniture and the rest on a tv . if the tv cost her $ 500 , what were her original savings ? 
Options: a ) $ 9000 , b ) $ 3000 , c ) $ 6000 , d ) $ 7000 , e ) $ 8000
Answer: b
Input: Problem: if x and y are positive integers and x = 5 y + 7 , what is the remainder when x is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: c
Input: 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
Answer: d
Input: Problem: what could be the range of a set consisting of odd multiples of 5 ? 
Options: a ) 21 , b ) 24 , c ) 35 , d ) 62 , e ) 60
Answer: e
Input: Problem: 5 years ago , the average age of a and b was 15 years . average age of a , b and c today is 20 years . how old will c be after 14 years ? 
Options: a ) 30 , b ) 34 , c ) 40 , d ) 50 , e ) 60
Answer: b
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ? 
Options: a ) 2 : 7 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 9 , e ) 2 : 2
Answer: b
Input: Problem: the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 46 . what is a possible value for the mean of the distribution ? 
Options: a ) 46 , b ) 52 , c ) 48 , d ) 49 , e ) 50
Answer: b
Input: Problem: the difference between the place values of two threes in the numerical 40378273 is 
Options: a ) 29997 , b ) 299997 , c ) 297 , d ) 0 , e ) none of them
Answer: b
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 35 % solution ? 
Options: a ) a ) 6.7 , b ) b ) 38.5 , c ) c ) 9.6 , d ) d ) 12.5 , e ) e ) 7.9
Answer: b
Input: Problem: if ( 10 ^ 4 * 3.456789 ) ^ 11 is written as a single term , how many digits would be to the right of the decimal place ? 
Options: a ) 12 , b ) 18 , c ) 22 , d ) 28 , e ) 36
Answer: c
Input: Problem: dacid obtained 45 , 35 , 52 , 47 and 55 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? 
Options: a ) 79 , b ) 99 , c ) 47 , d ) 89 , e ) 45
Answer: c
Input: Problem: a vessel of capacity 2 litre has 16 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? 
Options: a ) 31 % . , b ) 71 % . , c ) 49 % . , d ) 27.2 % . , e ) 51 % .
Answer: d
Input: Problem: 5020 − ( 502 ÷ 100.4 ) = ? 
Options: a ) 15 , b ) 20 , c ) 5015 , d ) 25 , e ) 35
Answer: c
Input: Problem: david obtained 72 , 60 , 35 , 62 and 84 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ? 
Options: a ) 75 , b ) 62.6 , c ) 87 , d ) 165 , e ) 11
Answer: b
Input: Problem: dacid obtained 96 , 95 , 82 , 97 and 95 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? 
Options: a ) 79 , b ) 93 , c ) 88 , d ) 88 , e ) 75
Answer: b
Input: Problem: 397 x 397 + 104 x 104 + 2 x 400 x 104 = x ? 
Options: a ) 234341 , b ) 235633 , c ) 234677 , d ) 315656 , e ) 251501
Answer: e
Input: Problem: in a tree , 1 / 5 of the birds are robins while the rest are bluejays . if 1 / 2 of the robins are female and 2 / 5 of the bluejays are female , what fraction of the birds in the tree are male ? 
Options: a ) 9 / 25 , b ) 12 / 25 , c ) 17 / 25 , d ) 29 / 50 , e ) 33 / 50
Answer: d
Input: Problem: a man is 20 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 ) 18 , e ) 91
Answer: d
Input: Problem: 8.008 / 4.004 
Options: a ) 2 , b ) 0.02 , c ) 0.2 , d ) 20 , e ) 2
Answer: a
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 8 students is 14 years and that of the other 6 students is 16 years , the age of the 15 th student is 
Options: a ) 17 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: a
Input: Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 69 , what is the value of a ? 
Options: a ) 26 , b ) 30 , c ) 28 , d ) 36 , e ) 42
Answer: a
Input: Problem: the average age of a group of 10 students is 14 years . if 5 more students join the group , the average age rises by 1 year . the average age of the new students is : 
Options: a ) 22 , b ) 38 , c ) 11 , d ) 17 , e ) 91
Answer: d
Input: Problem: find the remainder of the division ( 2 ^ 14 ) / 7 . 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: 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
Answer: d
Input: Problem: point ( m , n ) is on the circle represented by m ^ 2 + n ^ 2 = 10 , and m , n are integers . how many such points are possible ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: e
Input: Problem: what is the units digit of ( 7 ! * 6 ! + 6 ! * 4 ! ) / 2 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: if two positive numbers are in the ratio 1 / 8 : 1 / 7 , then by what percent is the second number more than the first ? 
Options: a ) 14.3 % . , b ) 70 % . , c ) 60 % . , d ) 68 % . , e ) 80 % .
Answer: a
Input: Problem: if 5 x = 6 y and xy ≠ 0 , what is the ratio of 1 / 4 * x to 1 / 6 * y ? 
Options: a ) 25 / 6 , b ) 36 / 25 , c ) 9 / 5 , d ) 5 / 6 , e ) 25 / 36
Answer: c
Input: Problem: what is the least integer greater than – 3 + 0.5 ? 
Options: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2
Answer: a
Input: Problem: what is the average of the first 10 multiples of 11 ? 
Options: a ) 55.5 , b ) 61.5 , c ) 53.5 , d ) 78.5 , e ) 60.5
Answer: e
Input: Problem: mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is 
Options: a ) 18 , b ) 22 , c ) 42 , d ) 43 , e ) 45
Answer: d
Input: Problem: the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 35 years . the ratio of their ages after 8 years will be 
Options: a ) 28 : 23 , b ) 6 : 11 , c ) 5 : 4 , d ) 3 : 5 , e ) 7 : 11
Answer: a
Input: Problem: evaluate 248 + 64 − − √ − − − − − − − − − √ 
Options: a ) 14 , b ) 26 , c ) 16 , d ) 36 , e ) 46
Answer: c
Input: Problem: 2 + 4 
Options: a ) 8 , b ) 13 , c ) 28 , d ) 6 , e ) 2
Answer: d
Input: Problem: the average ( arithmetic mean ) of the even integers from 0 to 120 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 60 inclusive ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 30 , e ) 60
Answer: d
Input: Problem: two numbers a and b are such that the sum of 7 % of a and 4 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . 
Options: a ) 2 : 1 , b ) 1 : 2 , c ) 4 : 9 , d ) 1 : 1 , e ) 3 : 2
Answer: c
Input: Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units g digit of ( a + 2 ) ^ 2 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) c . 14
Answer: a
Input: Problem: a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1215 . find the number to be multiplied . 
Options: a ) 130 , b ) 132 , c ) 135 , d ) 136 , e ) 138
Answer: c
Input: Problem: at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 30 of which were white and 5 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ? 
Options: a ) 20 % , b ) 25 % , c ) 50 % , d ) 75 % , e ) 80 %
Answer: e
Input: Problem: the total of the ages of amar , akbar and anthony is 66 years . what was the total of their ages 4 years ago ? 
Options: a ) 71 , b ) 44 , c ) 54 , d ) 16 , e ) 18
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 6 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 196
Answer: e
Input: Problem: p software has coding line 5 % more than n , n software has coding line 4 / 20 more than m . m software has 80 lines of coding . find p lines . 
Options: a ) 101 , b ) 107 , c ) 108 , d ) 109 , e ) 110
Answer: a
Input: Problem: laura took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? 
Options: a ) $ 2.10 , b ) $ 37.10 , c ) $ 37.45 , d ) $ 38.10 , e ) $ 38.80
Answer: c
Input: Problem: on dividing 22 by a number , the quotient is 7 and the remainder is 1 . find the divisor . 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 7
Answer: c
Input: Problem: what is the remainder when 43 ^ 88 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: if x is a number such that x ^ 2 + 2 x - 24 = 0 and x ^ 2 - 5 x + 4 = 0 , then x = 
Options: a ) 4 , b ) - 4 , c ) - 3 , d ) - 6 , e ) 1
Answer: a
Input: Problem: in 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b , the present age of b is ? 
Options: a ) 39 yr , b ) 42 yr , c ) 45 yr , d ) 32 yr , e ) 50 yr
Answer: a
Input: Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 12 , the how old is b ? 
Options: a ) 10 years , b ) 4 years , c ) 6 years , d ) 15 years , e ) 16 years
Answer: b
Input: Problem: find the least number of complete years in which a sum of money put out at 33.3 % compound interest will be more than double of itself ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: a number is doubled and 6 is added . if resultant is trebled , it becomes 72 . what is that number 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16
Answer: c
Input: Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many q cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] 
Options: a ) 0.33 , b ) 0.44 , c ) 0.55 , d ) 44 , e ) 55
Answer: d
Input: Problem: if 21 ! / 3 ^ x is an integer , what is the greatest possible value of x ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) d , e ) 7
Answer: d
Input: Problem: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 315 what is the least possible value of k ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 13
Answer: b
Input: Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent q of his family ’ s total income ? 
Options: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %
Answer: e
Input: 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 %
Answer: b
Input: 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
Answer: b
Input: Problem: | x + 3 | – | 4 - x | = | 8 + x | how many k solutions will this equation have ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: what is the 124 th digit to the right of the decimal point in the decimal form of 24 / 44 ? 
Options: a ) 8 , b ) 9 , c ) 6 , d ) 4 , e ) 2
Answer: d
Input: Problem: find the length of the wire required to go 15 times round a square field containing 69696 m ^ 2 . 
Options: a ) 1250 , b ) 2489 , c ) 6398 , d ) 15840 , e ) 2487
Answer: d
Input: Problem: if 5 ^ 5 × 5 ^ 7 = ( 5 ^ 4 ) ^ x , then what is the value of x ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: find the least number of 5 digits which is exactly divisible by 12 , 15 and 18 ? 
Options: a ) 1080 , b ) 10080 , c ) 10025 , d ) 11080 , e ) 12080
Answer: b
Input: Problem: a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 157 . find the unknown rate of two blankets ? 
Options: a ) 420 , b ) 550 , c ) 490 , d ) 450 , e ) 520
Answer: e
Input: Problem: the set s has 36 different subsets each of which contains exactly two elements . how many subsets of s could contain exactly 7 elements each ? 
Options: a ) 81 , b ) 63 , c ) 54 , d ) 36 , e ) 90
Answer: d
Input: Problem: what is the sum of the numbers between 1 and 10 , inclusive ? 
Options: a ) 85 , b ) 95 , c ) 100 , d ) 105 , e ) 55
Answer: e
Input: Problem: if 1 / 3 of the passengers on a ship are from north america , 1 / 8 are europeans , 1 / 5 are from africa , 1 / 6 are from asia and the remaining 42 people are citizens of other continents , then how many passengers are on board the ship ? 
Options: a ) 240 , b ) 250 , c ) 280 , d ) 300 , e ) 320
Answer: a
Input: Problem: evaluate : 60 - 12 * 3 * 2 = ? 
Options: a ) 42 , b ) 52 , c ) 62 , d ) 72 , e ) 82
Answer: b
Input: Problem: how many three digit numbers r are divisible by 78 or 91 ? 
Options: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Answer: b
Input: Problem: if 9 ^ y = 3 ^ 12 , what is y ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: e
Input: Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 80 % more recliners . what is the percentage increase of the gross ? 
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 44 %
Answer: e
Input: Problem: a certain store sells all maps at one price and all books at another price . on monday the store sold 12 maps and 10 books for a total of $ 38.00 , and on tuesday the store sold 12 maps and 9 books for a total of $ 30.00 . at this store , how much less does a map sell for than a book ? 
Options: a ) $ 0.25 , b ) $ 0.50 , c ) $ 0.75 , d ) $ 1.00 , e ) $ 4.5
Answer: e
Input: Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 3 ? 
Options: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: a
Input: Problem: 2 , 4 , 6 , 8 , 10 , . . . ? 
Options: a ) 8 , b ) 5 , c ) 7 , d ) 3 , e ) 12
Answer: e
Input: Problem: what is the units digit of the expression 14 ^ 7 − 19 ^ 4 ? 
Options: a ) 0 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Answer: e
Input: Problem: in a box of 8 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 / 12 , b ) 5 / 14 , c ) 2 / 13 , d ) 2 / 15 , e ) 1 / 17
Answer: b
Input: Problem: if x and y are integers and | x - y | = 10 , what is the minimum possible value of xy ? 
Options: a ) - 9 , b ) - 18 , c ) - 24 , d ) - 25 , e ) - 48
Answer: d
Input: Problem: find the sum lend at c . i . at 5 p . c per annum will amount to rs . 341 in 2 years ? 
Options: a ) 221 , b ) 309 , c ) 400 , d ) 288 , e ) 171
Answer: b
Input: Problem: find the ratio in which wheat of inferior quality ( rs . 14 / kg ) be mixed with wheat of superior quality ( rs . 28 / kg ) so that the shopkeeper gains rs . 2 by selling the resulting mixture at rs . 20 / kg . 
Options: a ) 5 : 2 , b ) 5 : 9 , c ) 5 : 3 , d ) 5 : 1 , e ) 5 : 8
Answer: a
Input: Problem: at the end of year x , automobile installment credit accounted for 43 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 50 billion of credit , or 1 / 4 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? 
Options: a ) 450 , b ) 465.12 , c ) 475 , d ) 500.15 , e ) 200
Answer: b
Input: Problem: when 1 / 10 percent of 6,000 is subtracted from 1 / 10 of 6,000 , the difference is 
Options: a ) 0 , b ) 50 , c ) 450 , d ) 495 , e ) 694
Answer: e
Input: Problem: country x taxes each of its citizens an amount equal to 13 percent of the first $ 40,000 of income , plus 20 percent of all income in excess of $ 40,000 . if a citizen of country x is taxed a total of $ 8,000 , what is her income ? 
Options: a ) $ 54,000 , b ) $ 56,000 , c ) $ 64,000 , d ) $ 66,667 , e ) $ 80,000
Answer: a
Input: 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
Answer: e
Input: Problem: a student is ranked 13 th from right and 8 th from left . how many are there ? 
Options: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Answer: c
Input: Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 150 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? 
Options: a ) 250 / 3 , b ) 500 / 3 , c ) 400 , d ) 450 , e ) 600
Answer: d
Input: Problem: what is the value of ( 12 + 22 + 32 + 42 + - - - - - + 102 ) 
Options: a ) 295 , b ) 324 , c ) 385 , d ) 391 , e ) 399
Answer: c
Input: Problem: the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is 
Options: a ) 25 years , b ) 30 years , c ) 35 years , d ) 40 years , e ) none
Answer: c
Input: Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 3 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ? 
Options: a ) 25 , b ) 26 , c ) 39 , d ) 21 , e ) 11
Answer: b
Input: Problem: a rower whose speed is 9 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: how many two - digit whole numbers yield a remainder of 2 when divided by 12 and also yield a remainder of 2 when divided by 6 ? 
Options: a ) none , b ) five , c ) six , d ) seven , e ) eight
Answer: c
Input: Problem: in the xy - coordinate plane , the graph of y = - x ^ 2 + 9 intersects line l at ( p , 5 ) and ( t , 7 ) . what is the least possible value of the slope of line l ? 
Options: a ) 6 , b ) 2 , c ) - 2 , d ) 1 , e ) - 10
Answer: d
Input: Problem: if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old , how old will he be 3 x years from now ? 
Options: a ) 32 , b ) 35 , c ) 30 , d ) 40 , e ) 27
Answer: e
Input: Problem: a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 18 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52
Answer: a
Input: Problem: a miniature roulette wheel is divided into 9 equal sectors , each bearing a distinct integer from 1 to 9 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun four times , approximately what is the probability that the product of the four winning sectors ’ integers will be even ? 
Options: a ) 50 % , b ) 67 % , c ) 80 % , d ) 90 % , e ) 95 %
Answer: d
Input: Problem: the sum of the non - prime numbers between 60 and 70 , non - inclusive , is 
Options: a ) 387 , b ) 429 , c ) 457 , d ) 499 , e ) 536
Answer: c
Input: Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 1.30 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? 
Options: a ) $ 255 , b ) $ 275 , c ) $ 510 , d ) $ 1,250 , e ) $ 663
Answer: e
Input: Problem: a parking garage rents parking spaces for $ 12 per week or $ 30 per month . how much does a person save in a year by renting by the month rather than by the week ? 
Options: a ) $ 140 , b ) $ 160 , c ) $ 220 , d ) $ 240 , e ) $ 264
Answer: e
Input: Problem: if 7 a - 3 b = 10 b + 50 = - 12 b - 2 a , what is the value of 9 a + 9 b ? 
Options: a ) - 9 , b ) - 6 , c ) 0 , d ) 6 , e ) 9
Answer: c
Input: Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.15 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? 
Options: a ) $ 1.75 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Answer: a
Input: Problem: find a sum for 1 st 5 prime no . ' s ? 
Options: a ) 23 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Answer: b
Input: Problem: on dividing a number by 8 , we get 8 as quotient and 0 as remainder . on dividing the same number by 5 , what will be the remainder ? 
Options: a ) 10 , b ) 4 , c ) 8 , d ) 6 , e ) 5
Answer: b
Input: Problem: george baked a total of 175 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7
Answer: d
Input: Problem: a certain city with a population of 120,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ? 
Options: a ) a ) 10,700 , b ) b ) 10,000 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 11,100
Answer: b
Input: Problem: 3 numbers are such that the second is as much lesser than thr third as the first is lesser than the second . if the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 12 , e ) 15
Answer: c
Input: Problem: a retailer bought a coat at wholesale and marked it up 90 % to its initial price of $ 76 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: b
Input: Problem: there are 6 more women than there are men on a local co - ed softball team . if there are a total of 16 players on the team , what is the ratio of men to women ? 
Options: a ) 10 / 16 , b ) 6 / 16 , c ) 4 / 16 , d ) 5 / 11 , e ) 4 / 10
Answer: d
Input: Problem: 20 ^ 10 / 120 ^ 5 = ? 
Options: a ) 6 ^ 5 , b ) 5 ^ 6 , c ) ( 10 / 3 ) ^ 5 , d ) 6 ^ 3 , e ) 15 ^ 3
Answer: c
Input: Problem: on dividing 16698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? 
Options: a ) 743 , b ) 154 , c ) 187 , d ) 741 , e ) 785
Answer: c
Input: Problem: for what value of x , is | x – 5 | + | x + 4 | + | x | = 14 ? 
Options: a ) 0 , b ) 3 , c ) 4 , d ) - 4 , e ) 5
Answer: e
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 28 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 ) 392 , b ) 412 . , c ) 432 . , d ) 502 , e ) 522
Answer: a
Input: Problem: if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 12 . what is the value of f ( 6 ) ? 
Options: a ) 1 , b ) 0 , c ) - 1 , d ) 2 , e ) 4
Answer: a
Input: Problem: this year , mbb consulting fired 5 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? 
Options: a ) 98.5 % , b ) 100.0 % , c ) 102.8 % , d ) 104.5 % , e ) 105.0 %
Answer: c
Input: Problem: if p and q are positive integers each greater than 1 , and 15 ( p + 1 ) = 29 ( q + 1 ) , what is the least possible value of p + q ? 
Options: a ) 36 , b ) 42 , c ) 44 , d ) 46 , e ) none
Answer: b
Input: Problem: a certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts , by weight . what is the number of pounds of almonds in 140 pounds of the mixture ? 
Options: a ) 116 , b ) 84 , c ) 40 , d ) 28 , e ) 20
Answer: a
Input: Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 75 only . men â € ™ s wages are ? 
Options: a ) 6 rs , b ) 7 rs , c ) 8 rs , d ) 5 rs , e ) 1 rs
Answer: d
Input: Problem: find the value of y from ( 12 ) ^ 1 x 6 ^ 4 ÷ 432 = y ? 
Options: a ) 2134 , b ) 2234 , c ) 2540 , d ) 2560 , e ) 36
Answer: e
Input: Problem: the probability that a man will be alive for 10 more yrs is 3 / 4 & the probability that his wife will alive for 10 more yrs is 3 / 7 . the probability that none of them will be alive for 10 more yrs , is 
Options: a ) 1 / 2 , b ) 1 , c ) 1 / 7 , d ) 3 / 4 , e ) 2
Answer: c
Input: Problem: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 56 as quotient . what is the correct quotient ? 
Options: a ) 0 , b ) 12 , c ) 32 , d ) 20 , e ) 25
Answer: c
Input: Problem: a number when divided by 342 gives a remainder 47 . when the same number is divided by 19 what would be the remainder ? 
Options: a ) 0 , b ) 9 , c ) 19 , d ) 29 , e ) 18
Answer: b
Input: Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1904 ? 
Options: a ) 1700 , b ) 2777 , c ) 2889 , d ) 27670 , e ) 2771
Answer: a
Input: Problem: a fruit drink is made of orange , watermelon , and grape juice , where 25 percent of the drink is orange juice and 40 percent is watermelon juice . if the drink is made with 105 ounces of grape juice , how many ounces is the drink total ? 
Options: a ) 220 , b ) 250 , c ) 280 , d ) 300 , e ) 340
Answer: d
Input: Problem: a batsman scored 120 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets . 
Options: a ) 40 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 75 %
Answer: b
Input: Problem: if integer k is equal to the sum of all even multiples of 25 between 200 and 600 , what is the greatest prime factor of k ? 
Options: a ) 5 , b ) 7 , c ) 11 , d ) 13 , e ) 17
Answer: d
Input: Problem: if a and b are positive numbers , and a ^ 3 + b ^ 3 = 30 , then the greatest possible value of a is between : 
Options: a ) 0 and 3 , b ) 3 and 4 , c ) 4 and 5 , d ) 5 and 7 , e ) 7 and 9
Answer: b
Input: Problem: what is the least number that should be added to 1054 , so the sum of the number is divisible by 23 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d