Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: find the remainder when 2 ^ 31 is divided by 5 . 
Options: a ) 3 , b ) 7 , c ) 1 , d ) 9 , e ) none of them
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 80 minutes after it was poured was how many degrees fahrenheit ? 
Options: a ) 45 , b ) 56 , c ) 60.4 , d ) 85 , e ) 90
Answer: c
Input: Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: b
Input: Problem: a man has some hens and cows . if the number of heads be 100 and the number of feet equals 180 , then the number of hens will be : 
Options: a ) 22 , b ) 23 , c ) 80 , d ) 90 , e ) 28
Answer: d
Input: Problem: ages of two persons differ by 20 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age 
Options: a ) 12,28 , b ) 14,30 , c ) 16,36 , d ) 18,34 , e ) 19,34
Answer: c
Input: Problem: what is the smallest no . which must be added to 27452 so as to obtain a sum which is divisible by 9 ? 
Options: a ) 7 , b ) 2 , c ) 9 , d ) 4 , e ) 6
Answer: a
Input: Problem: what is the value of 10 ^ 7 - 6 ^ 5 ? 
Options: a ) 99 , 91,223 , b ) 99 , 92,224 , c ) 99 , 94,265 , d ) 99 , 95,300 , e ) 99 , 96,307
Answer: b
Input: Problem: the average ( arithmetic mean ) of 10 , 20 , and 60 is 5 more than the average of 10 , 40 , and what number ? 
Options: a ) 25 , b ) 60 , c ) 50 , d ) 30 , e ) 40
Answer: a
Input: Problem: on dividing a number by 48 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: d
Input: Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 81 . what is that number 
Options: a ) 9 , b ) 10 , c ) 12 , d ) 14 , e ) 15
Answer: a
Input: Problem: laura took out a charge account at the general store and agreed to pay 9 % 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 ) $ 37.16 , d ) $ 38.10 , e ) $ 38.15
Answer: e
Input: Problem: a fold density is 19 times greater than the water and for copper it is 9 times . at what ratio you can mix gold and copper to get 15 times denser than water . ? 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 8 , e ) 3 : 7
Answer: b
Input: Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 14 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? 
Options: a ) $ 2,240 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 1,400
Answer: a
Input: Problem: 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ? 
Options: a ) 276 , b ) 299 , c ) 310 , d ) 3.33 , e ) 365
Answer: d
Input: Problem: joan and karl each bought a telescopes and the sum of their purchases was $ 400 . if twice of what joan paid was $ 74 more than what karl paid , what did joan pay for her telescope ? 
Options: a ) $ 150 , b ) $ 152 , c ) $ 154 , d ) $ 156 , e ) $ 158
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 # 42 ? 
Options: a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27
Answer: a
Input: Problem: the total of 324 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is : 
Options: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250
Answer: d
Input: Problem: how many positive integers less than 5,000 are evenly divisible by neither 15 nor 20 ? 
Options: a ) 4,514 , b ) 4,477 , c ) 4,521 , d ) 4,428 , e ) 4,349
Answer: b
Input: Problem: if the product of 2 integers is negative , at most how many of the integers can be negative ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: a
Input: Problem: the average of 5 consecutive odd numbers a , b , c , d and e is 13 . what percent of b is c ? 
Options: a ) 98.2 , b ) 102.8 , c ) 108.2 , d ) 118.2 , e ) 122.8
Answer: d
Input: Problem: a certain pair of used shoes can be repaired for $ 14.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? 
Options: a ) 16 , b ) 10.34 , c ) 12.46 , d ) 11.2 , e ) 14
Answer: b
Input: Problem: instead of multiplying a number by 2 , the number is divided by 10 . what is the percentage of error obtained ? 
Options: a ) 94 % , b ) 92 % , c ) 95 % , d ) 93 % , e ) 97 %
Answer: c
Input: Problem: a team of 6 entered for a shooting competition . the best marks man scored 85 points . if he had scored 92 points , the average scores for . the team would have been 84 . how many points altogether did the team score ? 
Options: a ) 288 , b ) 497 , c ) 168 , d ) 127 , e ) 664
Answer: b
Input: Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 80000 as total savings , how much has he saved in public provident fund ? 
Options: a ) 81000 , b ) 85000 , c ) 75000 , d ) 72000 , e ) 77000
Answer: d
Input: Problem: at the end of year x , automobile installment credit accounted for 35 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 40 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? 
Options: a ) 120 , b ) 300 , c ) 401.36 , d ) 350.15 , e ) 342.86
Answer: e
Input: Problem: the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22 . what is the original number ? 
Options: a ) 40 , b ) 50 , c ) 65 , d ) 70 , e ) 90
Answer: a
Input: Problem: the initial price of an article is rs . 4000 which increases 40 % increse in its price in the first year , a 20 % decrease in the second year and a 20 % increase in the next year . what is the final price of the article ? 
Options: a ) rs . 2928 , b ) rs . 5928 , c ) rs . 3928 , d ) rs . r 4928 , e ) rs . 6928
Answer: d
Input: Problem: if n is a natural number , then 6 n ^ 2 + 6 n is always divisible by ? 
Options: a ) 6 only , b ) 6 and 12 , c ) 12 only , d ) 18 only , e ) 20 only
Answer: b
Input: Problem: what is the average of first 21 multiples of 4 ? 
Options: a ) a ) 44 , b ) b ) 77 , c ) c ) 79 , d ) d ) 81 , e ) e ) 82
Answer: a
Input: Problem: find a number such that it exceeds 18 by 3 times the number by which it is less than 86 ? 
Options: a ) 67 , b ) 68 , c ) 69 , d ) 70 , e ) 71
Answer: c
Input: Problem: john purchased 1375 large bottles at $ 1.75 per bottle and 690 small bottles at $ 1.35 per bottle . what was the approximate average price paid per bottle ? 
Options: a ) $ 1.62 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.72 , e ) $ 1.76
Answer: a
Input: Problem: how many digits 2 ^ 200 has ? 
Options: a ) 31 , b ) 61 , c ) 50 , d ) 99 , e ) 101
Answer: b
Input: Problem: what is the remainder when 7 ^ 700 is divided by 100 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: if the average ( arithmetic mean ) of 7 consecutive integers is 20 , then the product of the greatest and least integer is 
Options: a ) 343 , b ) 393 , c ) 363 , d ) 391 , e ) 409
Answer: d
Input: Problem: a shop produces sarongs . the daily average production is given by 5 n + 20 , where n is the number of workers aside from the owner . in the first k days , 500 units are produced , and then 5 workers are added to the team . after another k days , the cumulative total is 1300 . how many workers were part of the latter production run ? 
Options: a ) a ) 6 , b ) b ) 10 , c ) c ) 9 , d ) d ) 15 , e ) e ) 23.5
Answer: c
Input: Problem: a picnic attracts 240 persons . there are 80 more men than women , and 80 more adults than children . how many men are at this picnic ? 
Options: a ) 240 , b ) 75 , c ) 110 , d ) 120 , e ) 200
Answer: d
Input: Problem: in bangalore there is a well known science institute . during a visit i asked two of the men to tell me their ages . one replied , ' one of our ages subtracted from the other ' s equal 30 . ' then the other man spoke . ' our ages multiplied together equal 1624 . ' what were their ages ? 
Options: a ) 60 and 23 , b ) 66 and 25 , c ) 29 and 56 , d ) 71 and 43 , e ) 58 and 28
Answer: e
Input: Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean a . if 68 % of the distribution lies one standard deviation d of the mean , what percent of the distribution is less than a + d ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
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 6 x years from now ? 
Options: a ) 32 , b ) 39 , c ) 30 , d ) 40 , e ) 28
Answer: b
Input: Problem: evaluate : | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 71 , e ) 80
Answer: d
Input: Problem: if v 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 v ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: c
Input: Problem: p and q are the only two applicants qualified for a short - term research project that pays 360 dollars in total . candidate p has more experience and , if hired , would be paid 50 percent more per hour than candidate q would be paid . candidate q , if hired , would require 10 hours more than candidate p to do the job . candidate p ’ s hourly wage is how many dollars greater than candidate q ’ s hourly wage ? 
Options: a ) $ 3 , b ) $ 6 , c ) $ 9 , d ) $ 12 , e ) $ 15
Answer: b
Input: Problem: a sum of money is sufficient to pay p ' s wages for 24 days and q ' s wages for 40 days . the same money is sufficient to pay the wages of both for ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 30 / 51 ? 
Options: a ) 6 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: d
Input: Problem: a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum marks are ? 
Options: a ) 450 , b ) 300 , c ) 500 , d ) 610 , e ) 175
Answer: c
Input: Problem: the average age of applicants for a new job is 20 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? 
Options: a ) 8 , b ) 16 , c ) 17 , d ) 18 , e ) 34
Answer: c
Input: Problem: the median annual household income in a certain community of 21 households is $ 50000 . if the mean w income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ? 
Options: a ) $ 50000 , b ) $ 60000 , c ) $ 60500 , d ) $ 65000 , e ) can not be determined
Answer: e
Input: Problem: if a ' s height is 40 % less than that of b , how much percent b ' s height is more than that of a ? 
Options: a ) 66.66 % , b ) 66.68 % , c ) 66.766 % , d ) 86.66 % , e ) 66.65 %
Answer: a
Input: Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 35 % impurities to the product . find the net profit percentage of the dealer ? 
Options: a ) 44 % , b ) 40 % , c ) 68.75 % , d ) 56.25 % , e ) 36 %
Answer: c
Input: Problem: on dividing a number by 5 , we get 2 as quotient and 0 as remainder . on dividing the same number by 4 , what will be the remainder ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: c
Input: Problem: the unit digit in the product 3421 * 6721 * 4584 * 6784 is ? 
Options: a ) 0 , b ) 1 , c ) 6 , d ) 3 , e ) 4
Answer: c
Input: Problem: the maximum number of students among them 1008 pens and 928 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? 
Options: a ) 16 , b ) 18 , c ) 36 , d ) 19 , e ) 32
Answer: a
Input: Problem: if the price of sugar rises from rs . 6 per kg to rs . 7.50 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) none
Answer: b
Input: Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 100 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? 
Options: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 400
Answer: e
Input: Problem: reeya obtained 55 , 67 , 76 , 82 and 55 out of 100 in different subjects , what will be the average 
Options: a ) 70 , b ) 75 , c ) 67 , d ) 85 , e ) 90
Answer: c
Input: Problem: if 50 % of x is 25 less than 25 % of 2500 , then x is ? 
Options: a ) 1880 , b ) 2160 , c ) 1200 , d ) 8400 , e ) 1210
Answer: c
Input: Problem: find the sum lend at c . i . at 5 p . c per annum will amount to rs . 441 in 2 years ? 
Options: a ) 387 , b ) 400 , c ) 776 , d ) 268 , e ) 181
Answer: b
Input: Problem: a caterer ordered 125 ice - cream bars and 125 sundaes . if the total price was $ 250.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ? 
Options: a ) $ 0.60 , b ) $ 0.80 , c ) $ 1.00 , d ) $ 1.20 , e ) $ 1.40
Answer: e
Input: Problem: for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 5 * / 6 * ? 
Options: a ) 5 , b ) 5 / 4 , c ) 4 / 5 , d ) 1 / 4 , e ) 1 / 5
Answer: d
Input: Problem: some consecutive natural numbers , starting with 1 , are written on the board . now , one of the numbers was erased and the average of the remaining numbers is 800 / 39 . find the number which was erased . 
Options: a ) 20 , b ) 87 , c ) 266 , d ) 288 , e ) 11
Answer: a
Input: Problem: find large number from below question the difference of two numbers is 1345 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1611
Answer: e
Input: Problem: a positive number x is multiplied by 5 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? 
Options: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 5 / 3 , e ) 1 / 2
Answer: d
Input: Problem: evaluate : 98612 / 22 * 11 * 70 = ? 
Options: a ) 700.4 , b ) 704.4 , c ) 740.4 , d ) 744.4 , e ) 700.0
Answer: b
Input: Problem: define a * by the equation a * = π - x . then ( ( − π ) * ) * = 
Options: a ) − 2 π , b ) - 1 , c ) − π , d ) 2 π , e ) 4 π
Answer: c
Input: Problem: a row of ants comprised of 102 ants . a man walked upon it and all except 42 were crushed beneath his foot . how many ants are left alive ? 
Options: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Answer: b
Input: Problem: the value of 99 ^ ( 91 / 99 ) x 99 is : 
Options: a ) 9989 , b ) 9896 , c ) 9892 , d ) 9809 , e ) 9810
Answer: c
Input: Problem: the jogging track in a sports complex is 627 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ? 
Options: a ) 4.56 min , b ) 5.28 min , c ) 5.08 min , d ) 9.28 min , e ) 5.988 min
Answer: a
Input: Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 203 ? 
Options: a ) 1,108 , b ) 2,100 , c ) 2,108 , d ) 2,120 , e ) 2,256
Answer: d
Input: Problem: the population of a city increases @ 4 % p . a . there is an additional annual increase of 4 % of the population due to the influx of job seekers , find the % increase in population after 2 years ? 
Options: a ) 14.64 % , b ) 15.64 % , c ) 16.64 % , d ) 17.64 % , e ) 18.64 %
Answer: c
Input: Problem: you collect baseball cards . suppose you start out with 19 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 24
Answer: e
Input: Problem: a palindrome is a number that reads the same forward and backward , such as 144 . how many odd , 4 - digit numbers are palindromes ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 62 , e ) 2500
Answer: d
Input: Problem: the average student age of a certain class which has 45 students is 14 . if one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66 . what is the age of class teacher ? 
Options: a ) 30 , b ) 35 , c ) 38 , d ) 40 , e ) 45
Answer: e
Input: Problem: tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ? 
Options: a ) 1 / 5 , b ) 2 / 5 , c ) 3 / 10 , d ) 4 / 13 , e ) 1 / 7
Answer: d
Input: Problem: a pharmaceutical company received $ 7 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? 
Options: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 76 %
Answer: e
Input: Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 15 - m ) then m = ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Answer: d
Input: Problem: a person deposits 1 / 16 of his income as provident fund and 1 / 15 of the remaining as insurance premium . if he spends 5 / 7 of the balance on domestic needs and deposits an amount of rs . 50 in the bank , his total income would be 
Options: a ) 150 , b ) 200 , c ) 250 , d ) 300 , e ) 350
Answer: b
Input: Problem: what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 200 inclusive ? 
Options: a ) 190 , b ) 105 , c ) 200 , d ) 205 , e ) 210
Answer: b
Input: Problem: the positive value of x that satisfies the equation ( 3 + 2 x ) ^ 5 = ( 1 + 3 x ) ^ 4 is between bunuel , can you please explain this one ? 
Options: a ) 0 and 0.5 , b ) 0.5 and 1 , c ) 1 and 1.5 , d ) 1.5 and 2 , e ) 2 and 2.5
Answer: d
Input: Problem: the average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student . the weight of the student is 
Options: a ) 62 kg , b ) 60 kg , c ) 70 kg , d ) 72 kg , e ) none of these
Answer: b
Input: Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 84,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : 
Options: a ) 0.20833 , b ) 0.14544 , c ) 0.25632 , d ) 0.35466 , e ) 0.63435
Answer: a
Input: Problem: 4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 8 . what is half of that number ? 
Options: a ) 305 , b ) 315 , c ) 345 , d ) 325 , e ) 335
Answer: b
Input: Problem: what are the last two digits of ( 301 * 402 * 503 * 604 * 645 * 547 * 448 * 349 ) ^ 2 
Options: a ) 96 , b ) 76 , c ) 56 , d ) 36 , e ) 00
Answer: e
Input: Problem: harold and millicent are getting married and need to combine their already - full libraries . if harold , who has 1 / 2 as many books as millicent , brings 1 / 3 of his books to their new home , then millicent will have enough room to bring 1 / 4 of her books to their new home . what fraction of millicent ' s old library capacity is the new home ' s library capacity ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 12
Answer: e
Input: Problem: what is the least number which should be added to 2782 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? 
Options: a ) 26 , b ) 32 , c ) 38 , d ) 46 , e ) 52
Answer: c
Input: Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 + . . . + 15 ^ 2 ) is equal to 1280 . what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 + . . . + 30 ^ 2 ) ? 
Options: a ) 2480 , b ) 3490 , c ) 6785 , d ) 8255 , e ) 9255
Answer: d
Input: Problem: if | 20 x - 10 | = 190 , then find the product of the values of x ? 
Options: a ) - 45 , b ) 50 , c ) - 62 , d ) 35 , e ) - 90
Answer: e
Input: Problem: calculate the average of all the numbers between 11 and 27 which are divisible by 2 . 
Options: a ) 11 , b ) 10 , c ) 18 , d ) 19 , e ) 21
Answer: d
Input: Problem: a man is 35 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is : 
Options: a ) 14 years , b ) 18 years , c ) 20 years , d ) 22 years , e ) 33 years
Answer: e
Input: Problem: what is the units digit of 2222 ^ ( 333 ) * 3333 ^ ( 222 ) ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: e
Input: Problem: the average weight of 4 person ' s increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ? 
Options: a ) 101 kg , b ) 103.4 kg , c ) 105 kg , d ) data inadequate , e ) none of these
Answer: a
Input: Problem: the average ( arithmetic mean ) of 4 positive integers is 45 . if the average of 2 of these integers is 45 , what is the greatest possible value that one of the other 2 integers can have ? 
Options: a ) 55 , b ) 65 , c ) 100 , d ) 89 , e ) 115
Answer: d
Input: Problem: united telephone charges a base rate of $ 7.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the same ? 
Options: a ) 200 minutes , b ) 100 minutes , c ) 120 minutes , d ) 140 minutes , e ) 160 minutes
Answer: b
Input: Problem: the sum of the squares of 3 numbers is 241 , while the sum of their products taken two at a time is 100 . their sum is : 
Options: a ) 20 , b ) 11 , c ) 21 , d ) 41 , e ) none of these
Answer: c
Input: Problem: if ( a – b ) is 7 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is : 
Options: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: rajan is sixth from the left end and vinay is tenth from the right end in a row of boys . if there are 8 boys between rajan and vinay , how many boys are there in the row ? 
Options: a ) 24 , b ) 66 , c ) 88 , d ) 27 , e ) 91
Answer: a
Input: Problem: a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - third were left handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of lefthanded players who were not at practice ? 
Options: a ) 1 / 3 , b ) 2 / 3 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2
Answer: d
Input: Problem: tough and tricky questions : number properties . if ( z + 3 ) / 9 is an integer , what is remainder when z is divided by 9 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: e
Input: Problem: a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 2 students left over . what is the sum of the two smallest possible values of n ? 
Options: a ) 33 , b ) 46 , c ) 49 , d ) 54 , e ) 86
Answer: d
Input: Problem: what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: e
Input: Problem: a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1233 . find the number to be multiplied . 
Options: a ) 130 , b ) 132 , c ) 134 , d ) 137 , e ) 138
Answer: d
Input: Problem: a department of 10 people - 6 men and 4 women - needs to send a team of 5 to a conference . if they want to make sure that there are no more than 3 members of the team from any one gender , how many distinct groups are possible to send ? 
Options: a ) 120 , b ) 150 , c ) 180 , d ) 210 , e ) 240
Answer: c
Input: Problem: find the value of 3 / 11 × [ ( 1 + 1 / 3 ) ( 1 + 1 / 4 ) … … … … . ( 1 + 1 / 120 ) ] is 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: a
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 10 students is 16 years , the age of the 15 th student is 
Options: a ) 11 , b ) 12 , c ) 9 , d ) 14 , e ) 15
Answer: c
Input: Problem: evaluate 100 ^ 2 - 99 ^ 2 + 98 ^ 2 - 97 ^ 2 + 96 ^ 2 - 95 ^ 2 + . . . + 2 ^ 2 - 1 ^ 2 = ? 
Options: a ) 3043 , b ) 5050 , c ) 5176 , d ) 9356 , e ) 4890
Answer: b
Input: Problem: albert is 2 times mary ’ s age and 4 times as old as betty . mary is 10 years younger than albert . how old is betty ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Answer: a
Input: Problem: a $ 84.95 lawn chair was sold for $ 59.95 at a special sale . by approximately what percent was the price decreased ? 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 29 % , e ) 80 %
Answer: d
Input: Problem: what is the greatest integer m for which the number 50 ! / 14 ^ m is an integer ? 
Options: a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 7
Answer: d
Input: Problem: what is the sum r of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3 ? 
Options: a ) 897 , b ) 164850 , c ) 164749 , d ) 149700 , e ) 156720
Answer: b
Input: Problem: in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 79 more candidates got selected than a . what was the number of candidates appeared from each state ? 
Options: a ) 7000 , b ) 7900 , c ) 6000 , d ) 5000 , e ) 4000
Answer: b
Input: Problem: little john had $ 8.50 . he spent $ 1.25 on sweets and gave to his two friends $ 1.20 and $ 2.20 . how much money was left ? 
Options: a ) $ 5.85 , b ) $ 6.85 , c ) $ 3.85 , d ) $ 2.85 , e ) $ 4.85
Answer: c
Input: Problem: if a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21 , what is the range of a / b ? 
Options: a ) 52 / 45 , b ) 23 / 47 , c ) 60 / 41 , d ) 51 / 42 , e ) 41 / 60
Answer: e
Input: Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1081 . find the cost of each ice - cream cup ? 
Options: a ) 25 , b ) 66 , c ) 77 , d ) 99 , e ) 45
Answer: e
Input: Problem: evaluate : 37 - 18 ÷ 3 × 2 = 
Options: a ) 20 , b ) 25 , c ) 27 , d ) 22 , e ) 17
Answer: b
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 107800 . how many times did he participate in the competition ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: e
Input: Problem: if rs . 595 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? 
Options: a ) s . 420 , b ) s . 360 , c ) s . 389 , d ) s . 368 , e ) s . 323
Answer: a
Input: Problem: how many three - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6 ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.6 years , the ratio of the number of boys to the number of girls in the class is 
Options: a ) 7 : 3 , b ) 1 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5
Answer: b
Input: Problem: if an integer n is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 12 ? 
Options: a ) 1 / 48 , b ) 234 / 8 , c ) 1 / 24 , d ) 5 / 8 , e ) 3 / 4
Answer: b
Input: Problem: last year , company x paid out a total of $ 1 , 050,000 in salaries to its 21 employees . if no employee earned a salary that is more than 15 % greater than any other employee , what is the lowest possible salary that any one employee earned ? 
Options: a ) $ 40,000 , b ) $ 41,667 , c ) $ 42,000 , d ) $ 43,750 , e ) $ 60,000
Answer: d
Input: Problem: if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number a of integers that can be negative ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: d
Input: Problem: evaluate combination 98 c 96 = 98 ! / ( 96 ) ! ( 2 ) ! 
Options: a ) 1617 , b ) 4753 , c ) 1417 , d ) 4353 , e ) none of these
Answer: b
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 24624 , how much amount per month would he have spent on clothes and transport ? 
Options: a ) 4038 , b ) 8076 , c ) 2052 , d ) 4845.6 , e ) none of these
Answer: c
Input: Problem: how many of the integers between 45 and 105 are even ? 
Options: a ) 21 , b ) 30 , c ) 11 , d ) 10 , e ) 9
Answer: b
Input: Problem: 20 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 90 %
Answer: a
Input: Problem: 12 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? 
Options: a ) 190 , b ) 132 , c ) 210 , d ) 220 , e ) 225
Answer: b
Input: Problem: dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 8 is the same as dividing by what number ? 
Options: a ) 31 ⁄ 5 , b ) 16 ⁄ 5 , c ) 20 ⁄ 9 , d ) 9 ⁄ 20 , e ) 5 ⁄ 3
Answer: e
Input: Problem: the sum of the even numbers between 1 and n is 81 * 82 , where n is an odd number , then n = ? 
Options: a ) 163 , b ) 171 , c ) 177 , d ) 185 , e ) 193
Answer: a
Input: Problem: on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 17 more transactions than cal . how much transactions did jade handled ? 
Options: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 84
Answer: d
Input: Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 4,400 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? 
Options: a ) 850 , b ) 1,100 , c ) 1,700 , d ) 2,200 , e ) 3,400
Answer: d
Input: Problem: product of two co - prime numbers is 117 . their l . c . m should be : 
Options: a ) 1 , b ) 117 , c ) 116 , d ) equal to their h . c . f , e ) can not be calculated
Answer: b
Input: Problem: ( 0.82 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.82 ) ( power 2 ) + 0.082 + ( 0.1 ) ( power 2 ) is : 
Options: a ) 0.86 , b ) 0.68 , c ) 0.96 , d ) 0.69 , e ) 0.72
Answer: e
Input: Problem: what is the sum of the multiples of 4 between 34 and 135 inclusive ? 
Options: a ) 2000 , b ) 2100 , c ) 2150 , d ) 2200 , e ) 2500
Answer: b
Input: Problem: g ( a ) is defined as the product of all even integers k such that 0 < k ≤ x . for example , g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14 . if g ( y ) is divisible by 4 ^ 11 , what is the smallest possible value for a ? 
Options: a ) 22 , b ) 24 , c ) 28 , d ) 32 , e ) 44
Answer: b
Input: Problem: the average score of a cricketer in 2 matches is 20 and in other 3 matches is 30 . then find the average score in all the 5 matches ? 
Options: a ) 26 , b ) 27 , c ) 30 , d ) 35 , e ) 42
Answer: a
Input: Problem: in a division , a student took 48 as divisor instead of 36 . his answer was 24 . the correct answer is - 
Options: a ) 42 , b ) 32 , c ) 48 , d ) 28 , e ) 38
Answer: b
Input: Problem: given that 268 * 74 = 19832 , find the values of 2.68 * 0.74 . 
Options: a ) 1.9328 , b ) 1.9832 , c ) 1.9823 , d ) 1.9382 , e ) none of them
Answer: b
Input: Problem: if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex ? 
Options: a ) 1 / 3 , b ) 2 / 3 , c ) 1 / 4 , d ) 5 / 16 , e ) 3 / 5
Answer: d
Input: Problem: for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 17 , the mean is how much greater than the median ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 7
Answer: c
Input: Problem: if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 , inclusive ? 
Options: a ) 1 / 4 , b ) 1 / 8 , c ) 3 / 8 , d ) 3 / 16 , e ) 5 / 16
Answer: a
Input: Problem: the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is rs . 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p + q + r is : 
Options: a ) 16100 , b ) 15700 , c ) 17500 , d ) 16000 , e ) 16500
Answer: e
Input: Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 14000 left with him . find salary . . 
Options: a ) $ 10400 , b ) $ 14000 , c ) $ 144000 , d ) $ 1800 , e ) $ 140000
Answer: e
Input: Problem: if x is equal to the sum of the integers from 50 to 60 , inclusive , and y is the number of even integers from 50 to 60 , inclusive , what is the value of x + y ? 
Options: a ) 171 , b ) 281 , c ) 391 , d ) 491 , e ) 611
Answer: e
Input: Problem: all the students of class are told to sit in circle shape . here the boy at the 8 th position is exactly opposite to 33 th boy . total number of boys in the class ? 
Options: a ) 40 , b ) 50 , c ) 28 , d ) 38 , e ) 48
Answer: b
Input: Problem: a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . 
Options: a ) 18 kmph , b ) 17 kmph , c ) 24 kmph , d ) 19 kmph , e ) 12 kmph
Answer: c
Input: Problem: the sum of the present age of henry and jill is 48 . what is their present ages if 9 years ago henry was twice the age of jill ? 
Options: a ) and 27 , b ) and 24 , c ) and 22 , d ) and 29 , e ) of these
Answer: d
Input: Problem: two men amar and bhuvan have the ratio of their monthly incomes as 6 : 5 . the ratio of their monthly expenditures is 3 : 2 . if bhuvan saves one - fourth of his income , find the ratio of their monthly savings ? a . 3 : 5 
Options: a ) 3 : 9 , b ) 3 : 10 , c ) 3 : 21 , d ) 3 : 12 , e ) 3 : 14
Answer: b
Input: Problem: when 1 / 10 percent of 7,000 is subtracted from 1 / 10 of 7,000 , the difference is 
Options: a ) 0 , b ) 50 , c ) 450 , d ) 693 , e ) 500
Answer: d
Input: Problem: if a * b * c = 130 , b * c * d = 65 , c * d * e = 750 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 3 , e ) none of these
Answer: b
Input: Problem: raj invests a part of rs . 12000 in 12 % stock at rs . 120 and the remainder in 15 % stock at rs . 125 . if his total dividend per annum is rs . 1360 , how much does he invest in 12 % stock at rs . 120 ? 
Options: a ) 3000 , b ) 4000 , c ) 5000 , d ) 5500 , e ) 6000
Answer: b
Input: Problem: a number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: c
Input: Problem: the average score of a cricketer for 10 matches is 38.9 runs . if the average for the first 6 matches is 42 , then find the average for the last 4 matches . 
Options: a ) 33.5 , b ) 33.5 , c ) 34.25 , d ) 35 , e ) none of these
Answer: c
Input: Problem: find the value of x from the below equation ? : 3 x ^ 2 + 5 x + 2 = 0 
Options: a ) - 1 , b ) - 2 , c ) 1 , d ) 2 , e ) 3
Answer: a
Input: Problem: there are 2 friends peter and paul . peter age is twice as old as paul when peter was as old as paul is now . sum of the present ages of peter and paul is 35 . what is the present age of peter ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Answer: c
Input: Problem: calculate the value of n from the below equation : y ^ 4 â ˆ ’ 20 y + 1 = 22 
Options: a ) 5 , b ) 3 , c ) 6 , d ) 2 , e ) 1
Answer: b
Input: Problem: in a recent election , james received 1.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 901 , b ) 989 , c ) 990 , d ) 971 , e ) 1,001
Answer: d
Input: Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 53 ) is : 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0
Answer: d
Input: Problem: little roshini had $ 10.50 . he spent some money on sweets and gave to his two friends $ 3.40 each . how much money was spent for sweets ? 
Options: a ) $ 4.70 , b ) $ 4.80 , c ) $ 3.85 , d ) $ 3.80 , e ) $ 3.70
Answer: e
Input: Problem: for integers x , y , and z , if ( 3 ^ x ) ( 4 ^ y ) ( 5 ^ z ) = 13107 , 200000 and x + y + z = 16 , what is the value of xy / z ? 
Options: a ) undefined , b ) 0 , c ) 3 , d ) 5 , e ) 7
Answer: b
Input: Problem: a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 28 years , b ) 22 years , c ) 23 years , d ) 24 years , e ) 26 years
Answer: a
Input: Problem: a man is 30 years older than his son . in four years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 22 years , b ) 23 years , c ) 24 years , d ) 25 years , e ) 26 years
Answer: e
Input: Problem: in a can , there is a mixture of milk and water in the ratio 3 : 2 . if the can is filled with an additional 6 liters of milk , the can would be full and the ratio of milk and water would become 2 : 1 . find the capacity of the can ? 
Options: a ) 36 , b ) 34 , c ) 32 , d ) 30 , e ) 28
Answer: a
Input: Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 2 . 
Options: a ) 8 , b ) 5 , c ) 11 , d ) 3 , e ) 4
Answer: e
Input: Problem: if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 11 , inclusive , what is the probability that x + y will be even ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Answer: a
Input: Problem: the difference in compound interest earned on a deposit ( compounded annually ) in year 1 and year 2 is $ 40 . had the interest rate been 3 times its present value , the difference w would have been how much ? 
Options: a ) 40 / 3 , b ) 40 , c ) 120 , d ) 360 , e ) 420
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 . 24 , find the sum of money ? 
Options: a ) 288 , b ) 262 , c ) 72 , d ) 123 , e ) 267
Answer: d
Input: Problem: in a basketball game , tim scored 20 points more than joe , but only half as many points as ken . if the 3 players scored a combined total of 100 points , how many points did tim score ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 45
Answer: d
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.16 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 50 , d ) 25 , e ) 12
Answer: c
Input: Problem: ( 51 + 52 + 53 + … … … + 100 ) is equal to : 
Options: a ) 2525 , b ) 2975 , c ) 3225 , d ) 3775 , e ) 3885
Answer: d
Input: Problem: if the number 892 , 132,27 x is divisible by 11 , what must be the value of x ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: a jar of 264 marbles is divided equally among a group of marble - players . if 2 people join the group , each one would receive 1 marble less . how many people are there in the group today ? 
Options: a ) 20 , b ) 21 . , c ) 22 , d ) 23 , e ) 24
Answer: e
Input: Problem: a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number k is 
Options: a ) 74 , b ) k = 75 , c ) k = 175 , d ) k = 680 , e ) 690
Answer: b
Input: Problem: if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline , by how much % should he reduce the quantity of gasoline that he buys ? 
Options: a ) 10 % , b ) 12.5 % , c ) 8 % , d ) 12 % , e ) 6.66 %
Answer: c
Input: Problem: if x is equal to the sum of the integers from 40 to 60 , inclusive , and y is the number of even integers from 40 to 60 , inclusive , what is the value of x + y ? 
Options: a ) 1021 , b ) 1041 , c ) 1061 , d ) 1081 , e ) 1101
Answer: c
Input: Problem: 12 . what is the dividend . divisor 17 , the quotient is 9 and the remainder is 6 . 
Options: a ) 150 , b ) 152 , c ) 154 , d ) 159 , e ) 144
Answer: d
Input: Problem: george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 10 % of the money for taxi fare and buys 10 mangoes . how many oranges can he buy ? 
Options: a ) 25 , b ) 30 , c ) 20 , d ) 16 , e ) 12
Answer: c
Input: Problem: the average of first six prime numbers which are between 30 and 70 is 
Options: a ) 35.4 , b ) 42 , c ) 45.7 , d ) 57 , e ) 67
Answer: b
Input: Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 8 years older than b , the present age of b is 
Options: a ) 35 , b ) 37 , c ) 38 , d ) 41 , e ) 42
Answer: c
Input: Problem: o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 11.6 ) + e ( – 10.4 ) + o ( – 9.2 ) + e ( 9.5 ) is : 
Options: a ) - 3 , b ) - 1 , c ) 0 , d ) 1 , e ) 3
Answer: c
Input: Problem: in the youth summer village there are 125 people , 50 of them are not working , 25 of them have families and 75 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ? 
Options: a ) 75 , b ) 80 , c ) 85 , d ) 100 , e ) 90
Answer: a
Input: Problem: a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 10 miles per gallon , and from town b to town c , the car averaged 18 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? 
Options: a ) 13 , b ) 13.5 , c ) 14 , d ) 14.5 , e ) 15
Answer: d
Input: Problem: if x = 7 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? 
Options: a ) − 100 , b ) 0.001 , c ) 0.25 , d ) 4 , e ) 8
Answer: b
Input: Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire . how many photos has claire taken ? 
Options: a ) 5 , b ) 8 , c ) 11 , d ) 12 , e ) 14
Answer: a
Input: Problem: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 61.5 . when one student dropped the class , the average of the remaining scores increased to 64.0 . what is the quiz score of the student who dropped the class ? 
Options: a ) a ) 10 , b ) b ) 24 , c ) c ) 40 , d ) d ) 55 , e ) e ) 70
Answer: b
Input: Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? 
Options: a ) a . 138 , b ) b . 50 , c ) c . 48 , d ) d . 46 , e ) e . 44
Answer: a
Input: Problem: 3 / 5 of all married couples have more than one child . 1 / 2 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ? 
Options: a ) 1 / 5 , b ) 1 / 10 , c ) 7 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .
Answer: b
Input: Problem: an automobile parts supplier charges $ 25 per package of gaskets . when a customer orders more than 10 packages of gaskets , the supplier charges 4 / 5 the price for each package in excess of 10 . during a certain week , the supplier sold 50 packages of gaskets . if 20 percent of the gaskets went to company x , 15 percent to company y , and the rest to company z , what was the total amount , in dollars , that the parts supplier received in payment for the gaskets ? 
Options: a ) 1105 , b ) 1245 , c ) 1275 , d ) 1215 , e ) 1150
Answer: e
Input: Problem: gopi gives rs . 90 plus one turban as salary to his servant for one year . the servant leaves after 9 months and receives rs . 55 and the turban . find the price of the turban . 
Options: a ) 27 , b ) 36 , c ) 29 , d ) 50 , e ) 11
Answer: d
Input: Problem: average weight of 10 people increased by 3 kg when one person of 45 kg is replaced by a new man . then weight of the new man is 
Options: a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 75
Answer: e
Input: Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 360 . how much does c have ? 
Options: a ) 60 , b ) 78 , c ) 267 , d ) 29 , e ) 27
Answer: a
Input: Problem: in a caravan , in addition to 50 hens there are 45 goats and 8 camels with some keepers . if the total number of feet be 224 more than the number of heads , find the number of keepers . 
Options: a ) 25 , b ) 20 , c ) 15 , d ) 13 , e ) 14
Answer: c
Input: Problem: the average runs of a cricket player of 8 innings was 24 . how many runs must he make in his next innings so as to increase his average of runs by 8 ? 
Options: a ) 12 , b ) 42 , c ) 64 , d ) 96 , e ) 84
Answer: d
Input: Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 10 gallons of water and 20 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? 
Options: a ) 37.5 , b ) 75 , c ) 100 , d ) 150 , e ) 175
Answer: d