Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
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 30 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 ) a ) 0.9 , b ) b ) 0.6 , c ) c ) 0.45 , d ) d ) 0.3 , e ) e ) 0.25
Answer: b
Input: Problem: firm a ' s revenues are described by the equation ra = 17.12 x and its costs by ca = 12.87 x + 2400 . firm b ' s revenues are described by the equation rb = 13.27 x and its costs by cb = 8.77 x + 1500 . ( x denotes the quantity of sales ) . if a ' s volume of sales increases from 1000 to 3000 over the same period that b ' s volume increases from 2000 to 3000 , the percent increase in profits for the firm with the biggest dollar increase in profits is 
Options: a ) 20 % , b ) 30 % , c ) 60 % , d ) 50 % , e ) 33 %
Answer: b
Input: Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 10 , 60 , and what number ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 55
Answer: b
Input: Problem: if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 25 ) which of these integers could be the value of z ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: e
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 213.28 , what is value of j ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 50 , e ) 60
Answer: d
Input: Problem: a cyclist rides a bicycle 7 km at an average speed of 10 km / hr and again travels 10 km at an average speed of 7 km / hr . what is the average speed for the entire trip ? 
Options: a ) 7.59 , b ) 7.79 , c ) 7.99 , d ) 8.19 , e ) 8.39
Answer: c
Input: Problem: a number x is 11 times another number y . the percentage that y is less than x is 
Options: a ) 12.5 % , b ) 90.9 , c ) 91.7 , d ) 11 % , e ) 1 %
Answer: b
Input: Problem: if c and t are positive integers , ct + c + t can not be 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: b
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 m is 
Options: a ) 74 , b ) m = 75 , c ) m = 175 , d ) m = 680 , e ) 690
Answer: b
Input: Problem: if 2 ^ 5 , 3 ^ 3 , and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ? 
Options: a ) 26 , b ) 39 , c ) 42 , d ) 65 , e ) 168
Answer: e
Input: Problem: the ratio 25 : 50 expressed as percent equals to 
Options: a ) 50 % , b ) 85 % , c ) 25 % , d ) 75 % , e ) none of above
Answer: a
Input: Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 70 m long and 16 1 / 2 m board ? 
Options: a ) 99 , b ) 18 , c ) 16 , d ) 10 , e ) 231
Answer: e
Input: Problem: the difference between a number and its two - fifth is 510 . what is 5 % of that number ? 
Options: a ) 425 , b ) 300 , c ) 255 , d ) 300 , e ) 400
Answer: a
Input: Problem: evaluate : 22 + sqrt ( - 4 + 6 * 4 * 3 ) = ? 
Options: a ) 4 , b ) 14 , c ) 24 , d ) 34 , e ) 44
Answer: c
Input: Problem: in the hillside summer camp there are 50 children . 85 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? 
Options: a ) 20 . , b ) 45 . , c ) 50 . , d ) 30 . , e ) 25 .
Answer: c
Input: Problem: what is the sum of 80 consecutive integers from - 39 inclusive , in a increasing order ? 
Options: a ) - 29 , b ) 39 , c ) - 30 , d ) 40 , e ) 60
Answer: d
Input: Problem: the maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? 
Options: a ) 25 , b ) 30 , c ) 20 , d ) 45 , e ) 90
Answer: c
Input: Problem: total dinning bill for 6 people was $ 211.00 . if they add 15 % tip and divided the bill evenly , approximate . what was each persons find share 
Options: a ) $ 30.14 , b ) 40.44 , c ) 34.66 , d ) 32.29 , e ) 33.16
Answer: b
Input: Problem: what is the sum of all digits for the number 10 ^ 28 - 44 ? 
Options: a ) 233 , b ) 245 , c ) 257 , d ) 270 , e ) 285
Answer: b
Input: Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1947 , what is the value of n ? 
Options: a ) 22 , b ) 38 , c ) 62 , d ) 122 , e ) 118
Answer: e
Input: Problem: a qualified worker digs a well in 5 hours . he invites 2 apprentices , both capable of working 3 / 5 as fast and 2 trainees both working 1 / 5 as fast as he . if the 5 - person team digs the same well , how much time does the team need to finish the job ? 
Options: a ) 1 : 42 , b ) 1 : 34 , c ) 1 : 44 , d ) 1 : 54 , e ) 2 : 14
Answer: a
Input: Problem: find the numbers which are in the ratio 5 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 18 ? 
Options: a ) 4 , 3,22 , b ) 4 , 4,22 , c ) 10 , 4,8 , d ) 9 , 6,12 , e ) 9 , 2,23
Answer: c
Input: Problem: given that e and f are events such that p ( e ) = 25 , p ( f ) = 75 and p ( e n f ) = 75 , find p ( e | f ) and p ( f | e ) 
Options: a ) 5 , b ) 46 , c ) 52 , d ) 12 , e ) 3
Answer: e
Input: Problem: the average of first six multiples of 4 is : 
Options: a ) 14 , b ) 9 , c ) 12 , d ) 15 , e ) 17
Answer: a
Input: Problem: when 242 is divided by a certain divisor the remainder obtained is 8 . when 698 is divided by the same divisor the remainder obtained is 9 . when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 4 . what is the value of the divisor ? 
Options: a ) 11 , b ) 17 , c ) 13 , d ) 23 , e ) none of these
Answer: c
Input: Problem: find the value of m 82519 x 9999 = m ? 
Options: a ) 724533811 , b ) 353654655 , c ) 825107481 , d ) 725117481 , e ) 477899932
Answer: c
Input: Problem: the guests at a football banquet consumed a total of 406 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ? 
Options: a ) 160 , b ) 161 , c ) 162 , d ) 163 , e ) 164
Answer: d
Input: Problem: a batsman scored 125 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 45 % , b ) 500 / 11 , c ) 600 / 11 , d ) 55 % , e ) 60 %
Answer: e
Input: Problem: in an entrance exam , 3 marks is awarded for every correct answer and ( - 1 ) for every wrong answer . if a student gets 38 marks after attempting all questions , find the number of questions answered correctly if the total questions were 70 . 
Options: a ) 38 , b ) 40 , c ) 27 , d ) 43 , e ) 56
Answer: c
Input: Problem: the average height of 35 boys in a class was calculated as 183 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ? 
Options: a ) 187.89 cm , b ) 181.29 cm , c ) 123.98 cm , d ) 149.98 cm , e ) 146.89 cm
Answer: b
Input: Problem: a man owns 2 / 3 of market reserch beauro buzness , and sells 3 / 4 of his shares for 30000 rs , what is the value of buzness ? 
Options: a ) 75000 , b ) 160000 , c ) 170000 , d ) 60000 , e ) 70000
Answer: d
Input: Problem: what is the greatest prime factor of 2 ^ 8 - 1 ? 
Options: a ) 11 , b ) 13 , c ) 17 , d ) 19 , e ) 23
Answer: c
Input: Problem: two ants , arthur and amy , have discovered a picnic and are bringing crumbs back to the anthill . amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur . if arthur carries a total of c crumbs to the anthill , how many crumbs will amy bring to the anthill , in terms of c ? 
Options: a ) x / 2 , b ) x , c ) 3 x / 2 , d ) 2 x , e ) 3 x
Answer: e
Input: Problem: if ( n + 2 ) ! / n ! = 90 , n = ? 
Options: a ) 2 / 131 , b ) 8 , c ) 10 , d ) 11 , e ) 12
Answer: b
Input: Problem: 1257 1275 1527 . . . . . . . . . . . . . . . . + 7521 the addition problem above shows 4 of the 24 different integers that can be formed by using each of the digits 1 , 25 and 7 exactly once in each integer . what is the sum t of the 24 integers ? 
Options: a ) 26996 , b ) 44406 , c ) 60444 , d ) 66660 , e ) 99990
Answer: e
Input: Problem: according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie . how many 3 - ounce packets of smoothie mix are required to prepare 120 12 - ounce smoothies ? 
Options: a ) 120 , b ) 150 , c ) 180 , d ) 240 , e ) 600
Answer: d
Input: Problem: 60 % of x is greater than 1 / 3 rd of x by 110 . what is x ? 
Options: a ) 100.5 , b ) 200.5 , c ) 300.5 , d ) 350.5 , e ) 412.5
Answer: e
Input: Problem: find the value of 3 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] 
Options: a ) 800 , b ) 500 , c ) 900 , d ) 1600 , e ) 2400
Answer: e
Input: Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 40 percent of b , what is the value of m / x ? 
Options: a ) 2 / 5 , b ) 3 / 4 , c ) 4 / 5 , d ) 5 / 4 , e ) 3 / 5
Answer: e
Input: Problem: a box contains 9 apples , 8 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: two brothers took the gmat exam , the higher score is x and the lower one is y . if the difference between the two scores is 1 / 3 , what is the value of y / x ? 
Options: a ) 3 . , b ) 2 . , c ) 1 / 2 . , d ) 1 / 4 , e ) there is n ' t enough data to answer the question .
Answer: d
Input: Problem: java house charges $ 4.25 for a cup of coffee that costs a total of $ 3.85 to make . cup ' o ' joe charges $ 4.80 for a cup that costs $ 4.65 to make . if java house sells 55000 cups of coffee , how many must cup ' o ' joe sell to make at least as much in total gross profit as its competitor does ? 
Options: a ) 7,858 , b ) 8,301 , c ) 14,667 , d ) 63,840 , e ) 146,667
Answer: e
Input: Problem: a certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ? 
Options: a ) 25 % , b ) 33 1 / 3 % , c ) 100 % , d ) 66 2 / 3 % , e ) 75 %
Answer: c
Input: Problem: what is the remainder when 49 ^ 74 - 5 ^ 74 is divided by 24 ? 
Options: a ) 2 , b ) 1 , c ) 0 , d ) 3 , e ) none of these
Answer: c
Input: Problem: the guests at a football banquet consumed a total of 327 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ? 
Options: a ) 160 , b ) 161 , c ) 162 , d ) 163 , e ) 164
Answer: e
Input: Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 4 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? 
Options: a ) 14 / 65 , b ) 27 / 128 , c ) 33 / 140 , d ) 37 / 165 , e ) 41 / 187
Answer: b
Input: Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 41 kg and that of b and c be 43 kg , then the weight of b is : 
Options: a ) 33 kg , b ) 31 kg , c ) 32 kg , d ) 36 kg , e ) 37 kg
Answer: a
Input: Problem: a certain city with a population of 60,000 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 ) 10,800 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 5,000
Answer: e
Input: Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost is what percent of the original cost ? 
Options: a ) 200 , b ) 600 , c ) 800 , d ) 1600 , e ) 50
Answer: d
Input: Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 30 % 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 ) 23 % , e ) can not be determined
Answer: d
Input: Problem: the closest approximation of a ( 69.28 × 0.004 ) / 0.03 is 
Options: a ) 0.092 , b ) 0.92 , c ) 9.2 , d ) 92 , e ) 920
Answer: c
Input: Problem: in a 100 - mile trip , the first 30 miles were completed at 60 mph . if the average speed for the whole trip was 40 mph , what was the average speed in the last 70 miles ? 
Options: a ) 30 mph , b ) 32 mph , c ) 35 mph , d ) 37 mph , e ) 38 mph
Answer: c
Input: Problem: if 4 xz + yw = 4 and xw + yz = 8 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? 
Options: a ) 22 , b ) 20 , c ) 24 , d ) 26 , e ) 28
Answer: b
Input: Problem: what is the sum of the greatest common factor and the lowest common multiple of 72 and 36 ? 
Options: a ) 120 , b ) 150 , c ) 145 , d ) 108 , e ) 112
Answer: d
Input: Problem: a batsman in his 12 th innings makes a score of 75 and thereby increases his average by 1 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? 
Options: a ) 42 , b ) 43 , c ) 44 , d ) 64 , e ) 46
Answer: d
Input: Problem: what is the remainder when 1031 * 1047 * 1050 * 1053 is divided by 33 ? 
Options: a ) 3 , b ) 24 , c ) 30 , d ) 21 , e ) 18
Answer: b
Input: Problem: if a and b are positive integers and ( 3 ^ a ) ^ b = 3 ^ 3 , what is the value of 3 ^ a * 3 ^ b ? 
Options: a ) 3 , b ) 9 , c ) 81 , d ) 27 , e ) 243
Answer: c
Input: Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 10000 more than d , what is b ' s share ? 
Options: a ) a ) 82390 , b ) b ) 29000 , c ) c ) 20005 , d ) d ) 23930 , e ) e ) 20000
Answer: e
Input: Problem: the cash realised on selling a 14 % stock is rs . 109.25 , brokerage being 1 / 4 % is 
Options: a ) 123 , b ) 109 , c ) 100 , d ) 156 , e ) 240
Answer: b
Input: Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 40 m long and 16 1 / 2 m board ? 
Options: a ) 99 , b ) 132 , c ) 16 , d ) 10 , e ) 15
Answer: b
Input: Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 5 ? 
Options: a ) 4 / 3 , b ) 3 / 2 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7
Answer: b
Input: Problem: during a certain two - week period , 50 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 9 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? 
Options: a ) 5 a , b ) 10 a , c ) 20 a , d ) 25 a , e ) 28 a
Answer: b
Input: Problem: bottle r contains 100 capsules and costs $ 6.30 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ? 
Options: a ) $ 0.04 , b ) $ 0.12 , c ) $ 0.05 , d ) $ 0.03 , e ) $ 0.002
Answer: a
Input: Problem: find large number from below question the difference of two numbers is 1390 . 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 ) 1665
Answer: e
Input: Problem: solution for 2.12 + . 004 + . 345 
Options: a ) 2.91 , b ) 2.911 , c ) 2.469 , d ) 2.586 , e ) 2.499
Answer: c
Input: Problem: if 4 a = 5 b and ab ≠ 0 , what is the ratio of a / 5 to b / 4 ? 
Options: a ) 125 / 64 , b ) 25 / 16 , c ) 1 , d ) 4 / 5 , e ) 64 / 125
Answer: c
Input: Problem: 417 x 417 + 383 x 383 = ? 
Options: a ) 320578 , b ) 80578 , c ) 80698 , d ) 81268 , e ) none of them
Answer: a
Input: Problem: carrie likes to buy t - shirts at the local clothing store . they cost $ 8.75 each . one day , she bought 18 t - shirts . how much money did she spend ? 
Options: a ) $ 150 , b ) $ 70 , c ) $ 200 , d ) $ 171.6 , e ) $ 190
Answer: b
Input: Problem: find a sum for 1 st 4 prime number ' s ? 
Options: a ) 25 , b ) 17 , c ) 30 , d ) 34 , e ) 36
Answer: b
Input: Problem: what is the minimum percentage increase in the mean of set s { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ? 
Options: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 200 %
Answer: d
Input: Problem: the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 45 , what is the possible maximum range of the temperatures ? 
Options: a ) 20 , b ) 25 , c ) 40 , d ) 45 , e ) 75
Answer: e
Input: Problem: a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: the average age of a family of 5 members is 20 years . if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ? 
Options: a ) 13.5 , b ) 14 , c ) 15 , d ) 12.5 , e ) none
Answer: d
Input: Problem: if the average ( arithmetic mean ) of a and b is 215 , and the average of b and c is 160 , what is the value of a − c ? 
Options: a ) − 220 , b ) − 100 , c ) 100 , d ) 110 , e ) it can not be determined from the information given
Answer: d
Input: Problem: two numbers are less than a third number by 40 % and 47 % respectively . how much per cent is the second number less than the first ? 
Options: a ) 95 % , b ) 88 % , c ) 85 % , d ) 90 % , e ) none of these
Answer: b
Input: Problem: what is the least number should be added to 929 , so the sum of the number is completely divisible by 30 ? 
Options: a ) 1 , b ) 2 , c ) 5 , d ) 6 , e ) 8
Answer: a
Input: Problem: how many positive integers less than 10,000 are there in which the sum of the digits equals 5 ? 
Options: a ) 31 , b ) 51 , c ) 56 , d ) 62 , e ) 93
Answer: c
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 55 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 45 %
Answer: e
Input: Problem: what least number must be subtracted from 12702 to get number exactly 99 ? 
Options: a ) 49 , b ) 30 , c ) 29 , d ) 31 , e ) 32
Answer: b
Input: Problem: what is the smallest number which when increased by 3 is divisible by 12 , 15 , 35 , and 40 ? 
Options: a ) 837 , b ) 947 , c ) 1027 , d ) 1155 , e ) 1231
Answer: a
Input: Problem: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 5 cups of tea . last week mo drank a total of 36 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ? 
Options: a ) 5 , b ) 3 , c ) 4 , d ) 2 , e ) 6
Answer: d
Input: Problem: john found that the average of 15 no . ' s is 40 . if 10 is added to each number then the mean of number is ? 
Options: a ) 50 , b ) 55 , c ) 65 , d ) 72 , e ) 78
Answer: a
Input: Problem: what is the average of 1200 , 1300 , 1400 , 1510 , 1520 , 1530 , and 1200 ? 
Options: a ) 1360.47 , b ) 1355.8 , c ) 1380 , d ) 1350 , e ) 1333
Answer: c
Input: Problem: if t = 5 / 9 * ( k - 32 ) , and if t = 105 , then what is the value of k ? 
Options: a ) 209 , b ) 212 , c ) 215 , d ) 218 , e ) 221
Answer: e
Input: Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 10 days starting with sunday is 
Options: a ) 280 , b ) 285 , c ) 290 , d ) 855 , e ) 275
Answer: d
Input: Problem: if a ( a + 2 ) = 80 and b ( b + 2 ) = 80 , where a ≠ b , then a + b = 
Options: a ) - 3 , b ) - 4 , c ) - 6 , d ) - 8 , e ) - 2
Answer: e
Input: Problem: if a : b = 4 : 1 , then find ( a - 3 b ) / ( 2 a - b ) ? 
Options: a ) 6 / 7 , b ) 1 / 7 , c ) 5 / 7 , d ) 3 / 2 , e ) 4 / 7
Answer: b
Input: Problem: the sum of three consecutive multiples of 3 is 117 . what is the largest number ? 
Options: a ) 45 , b ) 48 , c ) 51 , d ) 42 , e ) 54
Answer: d
Input: Problem: arjun started a business with rs . 20000 and is joined afterwards by anoop with rs . 4000 . after how many months did anoop join if the profits at the end of the year are divided equally ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: a library has an average of 510 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is ? 
Options: a ) 285 , b ) 227 , c ) 271 , d ) 187 , e ) 199
Answer: a
Input: Problem: how many positive integers less than 100 are neither multiples of 2 or 5 . 
Options: a ) a ) 30 , b ) b ) 31 , c ) c ) 40 , d ) d ) 33 , e ) e ) 34
Answer: c
Input: Problem: find the ones digit of 73 ^ 350 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: e
Input: Problem: a envelop weight 8.5 gm , if 820 of these envelop are sent with an advertisement mail . how much wieght ? 
Options: a ) 6.6 kg , b ) 6.8 kg , c ) 6.7 kg , d ) 6.97 kg , e ) 7.8 kg
Answer: d
Input: Problem: a ( 5 , w ^ 2 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 11 . what is the value of w ? 
Options: a ) 3 . , b ) 4 . , c ) 5 . , d ) 6 . , e ) 9 .
Answer: d
Input: Problem: f 1 ( x ) f 1 ( x ) = 2 x - 1 and fn ( x ) = f 1 ( fn − 1 ( x ) ) fn ( x ) = f 1 ( fn − 1 ( x ) ) for n ≥ ≥ 2 . find f 5 ( 2 ) 
Options: a ) 7 , b ) 6 , c ) 78 , d ) 9 , e ) 1
Answer: a
Input: Problem: in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is ? 
Options: a ) 11 , b ) 82 , c ) 10 , d ) 28 , e ) 23
Answer: c
Input: Problem: the cost of producing x tools by a company is given by c ( x ) = 600 x + 5500 ( in $ ) a ) what is the cost of 100 tools ? 
Options: a ) 65500 $ , b ) 125800 $ , c ) 125900 $ , d ) 6500 $ , e ) 122500 $
Answer: a
Input: Problem: the sum of present age of abe and the age before 7 years is 29 . find the present age of abe . what will be his age after 7 years ? 
Options: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29
Answer: a
Input: Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase e in sales ? 
Options: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %
Answer: c
Input: Problem: 365 : 90 : : 623 : ? 
Options: a ) 36 , b ) 45 , c ) 123 , d ) 63 , e ) none of these
Answer: a
Input: Problem: a group of 8 friends want to play doubles tennis . how many different ways can the group be divided into 4 teams of 2 people ? 
Options: a ) 420 , b ) 2520 , c ) 168 , d ) 90 , e ) 105
Answer: e
Input: Problem: evaluate : 59 - 12 * 3 * 2 = ? 
Options: a ) 42 , b ) 51 , c ) 62 , d ) 72 , e ) 82
Answer: b
Input: Problem: if x + 1 / x = 2 then find x 2 + 1 / x 2 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: if 6 x ^ 2 + x - 12 = ( ax + w ) ( cx + d ) , then | a | + | w | + | c | + | d | = for a complete solution and more practice problems , see this blog : http : / / magoosh . com / gmat / 2012 / algebra - on . . . to - factor / 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Answer: b
Input: Problem: a mixture contains milk and water in the ratio 5 : 4 . on adding 30 litters of water , the ratio of milk to water becomes 5 : 7 . total quantity of milk & water before adding water to it ? 
Options: a ) 90 , b ) 120 , c ) 80 , d ) 70 , e ) 60
Answer: a
Input: Problem: the maximum number of students among them 1230 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : 
Options: a ) 91 , b ) 10 , c ) 1001 , d ) 1911 , e ) none of these
Answer: b
Input: Problem: evaluate 64 / . 08 
Options: a ) 800 , b ) 500 , c ) 505 , d ) none of these , e ) 506
Answer: a
Input: Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 1200 more than d , what is b ' s share ? 
Options: a ) rs . 500 , b ) rs . 1500 , c ) rs . 2000 , d ) rs . 2400 , e ) none of the above
Answer: d
Input: Problem: the average ( arithmetic mean ) of the even integers from 0 to 40 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 20 inclusive ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 15 , e ) 20
Answer: c
Input: Problem: if integer k is equal to the sum of all even multiples of 35 between 280 and 630 , what is the greatest prime factor of k ? 
Options: a ) 5 , b ) 7 , c ) 11 , d ) 13 , e ) 11 * 455
Answer: e
Input: Problem: find the average of first 4 multiples of 15 ? 
Options: a ) 10 , b ) 12.6 , c ) 22.5 , d ) 31.3 , e ) 37.5
Answer: e
Input: Problem: at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 2 ? 
Options: a ) $ 0.50 , b ) $ 0.75 , c ) $ 1.25 , d ) $ 1.50 , e ) $ 1.75
Answer: b
Input: Problem: the lowest number which should be added to 8247 so that the sum is exactly divisible by 5 , 6 , 7 , 8 and 9 is : 
Options: a ) 1833 , b ) 1853 , c ) 1733 , d ) 1233 , e ) 1832
Answer: a
Input: Problem: the number 0.8 is how much greater than 1 / 2 ? 
Options: a ) ½ , b ) 3 / 10 , c ) 1 / 50 , d ) 1 / 500 , e ) 2 / 500
Answer: b
Input: Problem: a , b , c , d , and e are positive consecutive integers and a < b < c < d < e . if the sum of a + b is one less than e , and the product of ab is one more than d , then what is the value of c ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: a ferry can transport 100 tons of vehicles . automobiles range in weight from 1,600 to 3,000 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? 
Options: a ) 110 , b ) 128 , c ) 115 , d ) 130 , e ) 120
Answer: e
Input: Problem: on dividing 127 by a number , the quotient is 9 and the remainder is 1 . find the divisor . 
Options: a ) a ) 12 , b ) b ) 14 , c ) c ) 16 , d ) d ) 18 , e ) e ) 22
Answer: b
Input: Problem: last week john spent 10 percent of his wages on recreation . this week , his wages are 10 percent less than last week ʼ s wages and he spent 40 percent of his wages on recreation . the amount he spends on recreation this week is what percent of the amount he spent on recreation last week 
Options: a ) 180 % , b ) 360 % , c ) 200 % , d ) 220 % , e ) 250 %
Answer: b
Input: Problem: 27 is a perfect cube . when x is added to the prime factor of 27 , the result is a prime number . what is x ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 8 , e ) 11
Answer: d
Input: Problem: ( x + 3 ) is a factor in x ^ 2 - mx - 15 . what is the value of m ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: a special municipal payroll tax charges not tax on a payroll less than $ 300,000 and only 1 % on a company ’ s payroll above $ 300,000 . if belfried industries paid $ 200 in this special municipal payroll tax , then they must have had a payroll of ? 
Options: a ) $ 180,000 , b ) $ 202,000 , c ) $ 230,000 , d ) $ 400,000 , e ) $ 2 , 200,000
Answer: c
Input: Problem: 3 numbers which are co - prime to each other are such that the product of the first two is 551 and that of the last two is 1073 . the sum of the 3 numbers is : 
Options: a ) 81 , b ) 82 , c ) 85 , d ) 90 , e ) 95
Answer: c
Input: Problem: 20 percent of country y ' s yearly exports come from fruit exports . one - sixth of all fruit exports from country y are orange exports . if country y generates $ 4.25 million from its orange exports , how much money does it generate from its yearly total of exports ? 
Options: a ) $ 21.25 m , b ) $ 25.5 m , c ) $ 106.25 m , d ) $ 127.5 m , e ) $ 153 m
Answer: d
Input: Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 61 , how many questions did student a answer correctly ? 
Options: a ) 55 , b ) 60 , c ) 73 , d ) 81 , e ) 87
Answer: e
Input: Problem: in a photography exhibition , some photographs were taken by octavia the photographer , and some photographs were framed by jack the framer . jack had framed 24 photographs taken by octavia , and 12 photographs taken by other photographers . if 36 of the photographs in the exhibition were taken by octavia , how many photographs were either framed by jack or taken by octavia ? 
Options: a ) 36 , b ) 48 , c ) 72 , d ) 96 , e ) 108
Answer: b
Input: Problem: 894.7 – 573.07 – 95.007 = ? 
Options: a ) 226.623 , b ) 224.777 , c ) 233.523 , d ) 414.637 , e ) none of these
Answer: a
Input: Problem: if x + y = 2 x + z , x - 2 y = 4 z and x + y + z = 21 , what is the value of y / z ? 
Options: a ) - 4.5 . , b ) - 2 . , c ) - 1.7 . , d ) 3 . , e ) 6 .
Answer: e
Input: Problem: x + ( 1 / x ) = 1.5 find x ^ 2 + ( 1 / x ^ 2 ) 
Options: a ) 2.25 , b ) 3.25 , c ) 4.25 , d ) 5.25 , e ) 0.25
Answer: e
Input: Problem: a local restaurant recently renovated its dining space , purchasing new tables and chairs to use in addition to the original tables and chairs . the new tables each seat 6 customers , while the original tables each seat 4 customers . altogether , the restaurant now has 40 tables and is capable of seating 212 customers . how many more new tables than original tables does the restaurant have ? 
Options: a ) 8 , b ) 12 , c ) 20 , d ) 24 , e ) 28
Answer: b
Input: Problem: x + y = 19 , and x + 3 y = 1 . find the value of x + 2 y 
Options: a ) 20 , b ) 18 , c ) 11 , d ) 10 , e ) 5
Answer: d
Input: Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 16 , 10 , and 20 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? 
Options: a ) 7 / 4 , b ) 10 / 3 , c ) 12 / 5 , d ) 15 / 7 , e ) 18 / 11
Answer: c
Input: Problem: a straight line in the xy - plane has y - intercept of 20 . on this line the x - coordinate of the point is 150 and y - coordinate is 600 then what is the slope of the line ? 
Options: a ) 3.9 , b ) 4.6 , c ) 5.2 , d ) 6 , e ) 8.1
Answer: a
Input: Problem: set x consists of all two - digit primes and set y consists of all positive even multiples of 5 less than 100 . if the two sets are combined into one , what will be the range of the new set ? 
Options: a ) 87 , b ) 89 , c ) 90 , d ) 92 , e ) 95
Answer: a
Input: Problem: the smallest value of n , for which 2 n + 1 is not a prime number , is 
Options: a ) 3 , b ) 4 , c ) 5 , d ) none , e ) 6
Answer: b
Input: Problem: the digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9 , which is a square number . how many years during the 20 - first century have a square digital sum ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Answer: d
Input: Problem: there are a total of 100 jars on the shelf . small jars hold 3 liters and large jars hold 5 liters . the jars can hold a total of 376 liters . how many small jars are on the shelf ? 
Options: a ) 49 , b ) 53 , c ) 56 , d ) 59 , e ) 62
Answer: e
Input: Problem: john has 10 pairs of matched socks . if he loses 9 individual socks , what is the greatest number of pairs of matched socks he can have left ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: c
Input: Problem: a circular road runs around a circular garden . if the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one - third of the outer circle , then the width of the road is : 
Options: a ) 4 metres , b ) 5 metres , c ) 7 metres , d ) 6 metres , e ) 8 metres
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 0.1 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? 
Options: a ) $ 1.62 , b ) $ 1.85 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Answer: a
Input: Problem: in a fraction , if numerator is added by 2 and denominator by 1 it results 1 , and if numerator added again by 4 and denominator by 2 it results 1 / 2 . find the fraction ? 
Options: a ) 3 / 4 , b ) 5 / 4 , c ) 7 / 4 , d ) 9 / 4 , e ) 11 / 4
Answer: b
Input: Problem: a call center has two teams . each member of team a was able to process 1 / 5 calls as compared to each member of team b . if team a has 5 / 8 as many number of call center agents as team b , what fraction of the total calls was processed by team b ? 
Options: a ) 3 / 2 , b ) 3 / 4 , c ) 8 / 9 , d ) 1 / 2 , e ) 1 / 5
Answer: c
Input: Problem: in x game of billiards , x can give y 20 points in 60 and he can give z 30 points in 60 . how many points can y give z in x game of 80 ? 
Options: a ) 30 , b ) 20 , c ) 25 , d ) 40 , e ) 50
Answer: b
Input: Problem: what is the greatest prime factor of 3 ^ 8 - 1 ? 
Options: a ) 29 , b ) 31 , c ) 37 , d ) 41 , e ) 43
Answer: d
Input: Problem: if n = 7 ^ 11 – 7 , what is the units digit of n ? 
Options: a ) 0 , b ) 1 , c ) 4 , d ) 6 , e ) 8
Answer: d
Input: Problem: 0.0004 ? = 0.02 
Options: a ) 0.02 , b ) 0.2 , c ) 2 , d ) 20 , e ) none of these
Answer: a
Input: Problem: if two of the 4 expressions x + y , x + 5 y , x - y , 5 x + y are chosen at random , what is the probability that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6
Answer: e
Input: Problem: find the average of all the numbers between 6 and 34 which are divisible by 5 
Options: a ) 18 , b ) 20 , c ) 24 , d ) 30 , e ) 40
Answer: b
Input: Problem: a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 7 years ago ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 7
Answer: e
Input: Problem: if integer k is equal to the sum of all even multiples of 5 between 300 and 610 , what is the greatest prime factor of k ? 
Options: a ) 32 , b ) 7 , c ) 11 , d ) 13 , e ) 17
Answer: a
Input: Problem: 4 brothers adam , bill , charles and david together contributed certain amount of money and purchased a car . the contribution made by adam is half that of the total contribution made by the other 3 brothers , contribution made by bill is one - fourth of the total contribution made by the other 3 brothers and the contribution made by charles is two - third of the total contribution made by the other 3 brothers . if the total price of the car is $ 9750 , find the contribution made by david . 
Options: a ) $ 540 , b ) $ 580 , c ) $ 600 , d ) $ 650 , e ) $ 680
Answer: d
Input: Problem: in the coordinate plane , points ( x , 1 ) and ( 12 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = 
Options: a ) 4.5 , b ) 7 , c ) 8 , d ) 11 , e ) 12
Answer: c
Input: Problem: a strain of bacteria reproduces @ 25 % every 12 min . in how much time will it triple itself ? ? 
Options: a ) 96 min , b ) 72 min , c ) 60 min , d ) 48 min , e ) 40 min
Answer: c
Input: Problem: 4 , 12 , 48 , 240 , ( . . . ) 
Options: a ) 1440 , b ) 10080 , c ) 6200 , d ) 10020 , e ) 12500
Answer: a
Input: Problem: the difference between a number and its two - fifth is 45 . what is the number ? 
Options: a ) 76 , b ) 56 , c ) 88 , d ) 66 , e ) 75
Answer: e
Input: Problem: a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 140 , how many coins of each type are there ? 
Options: a ) 20 coins , b ) 30 coins , c ) 40 coins , d ) 80 coins , e ) none of these
Answer: d
Input: Problem: the average ( arithmetic mean ) of the even integers from 0 to 60 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 30 inclusive ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Answer: b
Input: Problem: x is a positive integer less than 100 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? 
Options: a ) 14 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: a
Input: Problem: the price of commodity p increases by 40 paise every year , while the price of commodity q increases by 15 paise every year . if in 2001 , the price of commodity p was rs . 4.20 and that of q was rs . 6.30 , in which year commodity p will cost 40 paise more than the commodity q ? 
Options: a ) 2008 , b ) 2009 , c ) 2010 , d ) 2011 , e ) 2012
Answer: d
Input: Problem: 8269 ã — 9998 = ? 
Options: a ) 85432864 , b ) 82673462 , c ) 86985434 , d ) 68954365 , e ) 65486954
Answer: b
Input: Problem: the average of first 10 even numbers is ? 
Options: a ) 19 , b ) 18 , c ) 16 , d ) 11 , e ) 17
Answer: d
Input: Problem: in a two - digit , if it is known that its unit ' s digit exceeds its 10 ' s digit by 2 and that the product of the given number and the sum of its digits is equal to 144 , then the number is ? 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) none
Answer: a
Input: Problem: find the product of the place value and face value of 3 in 5769354 
Options: a ) 900 , b ) 9000 , c ) 90 , d ) 9 , e ) 0.9
Answer: a
Input: Problem: sophia finished 2323 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? 
Options: a ) 140 , b ) 320 , c ) 745 , d ) 270 , e ) 350
Answer: d
Input: Problem: last year , for every 100 million vehicles that traveled on a certain highway , 40 vehicles were involved in accidents . if 2 billion vehicles traveled on the highway last year , how many of those vehicles were involved in accidents ? ( 1 billion = 1,000 , 000,000 ) 
Options: a ) 800 , b ) 900 , c ) 100 , d ) 1000 , e ) 950
Answer: a
Input: Problem: in the youth summer village there are 175 people , 100 of them are not working , 75 of them have families and 125 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 ) 70 , b ) 75 , c ) 85 , d ) 80 , e ) 100
Answer: b
Input: Problem: if n is an integer and 101 n ^ 2 is less than or equal to 8100 , what is the greatest possible value of n ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 100 and the slope of line segment ac is 4 / 3 , what is the length of ab ? 
Options: a ) 12 , b ) 18 , c ) 24 , d ) 28 , e ) 80
Answer: e
Input: Problem: what is the remainder when 1003 * 1005 * 1007 is divided by 15 
Options: a ) 3 , b ) 17 , c ) 14 , d ) 0 , e ) 7
Answer: d
Input: Problem: one day a car rental agency rented 2 / 3 of its cars , including 3 / 5 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ? 
Options: a ) 18 / 25 , b ) 17 / 20 , c ) 11 / 15 , d ) 7 / 10 , e ) 3 / 5
Answer: a
Input: Problem: the total population of city a and city b is 5000 more than the total population of city b and city c . how much lesser is the population in city c as compared to city a ? 
Options: a ) 8500 , b ) 3500 , c ) 4500 , d ) 5000 , e ) 1500
Answer: d
Input: Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 24000 , my total savings for the two - year is 
Options: a ) s . 8000 , b ) s . 7000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000
Answer: b
Input: Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.4 kg . the weight of the new student is 
Options: a ) 22 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 10 kg , e ) none of these
Answer: d
Input: Problem: the product of two numbers is 4107 . if the h . c . f . of these numbers is 37 , then the greater number is : explanation : 
Options: a ) 101 , b ) 107 , c ) 111 , d ) 117 , e ) 121
Answer: c
Input: Problem: find large number from below question the difference of two numbers is 1395 . 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 ) 1671
Answer: e
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 15.5 years , the ratio of the number of boys to the number of girls in the class is 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5
Answer: a
Input: Problem: the denominator of a fraction is 6 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 4 â  „ 5 . what is the value of the original fraction ? 
Options: a ) 17 / 23 , b ) 23 / 29 , c ) 29 / 35 , d ) 31 / 37 , e ) 33 / 39
Answer: b
Input: Problem: a boy perform 5 times a reaction and his reading are 2 , 2.1 , 2 , 2.2 but unfortunately 5 th reading clearly not visible because a drop of chemical fall onto it . but luckily he have mean of all reading which is 2 . please help him in finding 5 th reading . 
Options: a ) 2 , b ) 1.7 , c ) 1.9 , d ) 1.8 , e ) 2.1
Answer: b
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 , 20 of which were white and 10 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 ) 50 % , c ) 55 % , d ) 75 % , e ) 80 %
Answer: b
Input: Problem: reduce 368 / 598 to the lowest terms 
Options: a ) 30 / 25 , b ) 28 / 13 , c ) 28 / 29 , d ) 8 / 13 , e ) none of these
Answer: d
Input: Problem: what least value should be replaced by * in 223431 * so the number become divisible by 5 
Options: a ) 0 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: a
Input: Problem: set # 1 = { a , b } set # 2 = { k , l , m , n , o , p } there are these two sets of letters , and you are going to pick exactly one letter from each set . what is the probability of picking at least one vowel ? 
Options: a ) 1 / 6 , b ) 1 / 3 , c ) 7 / 12 , d ) 2 / 3 , e ) 5 / 6
Answer: c
Input: Problem: 15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container h ? 
Options: a ) a : 45 , b ) b : 25 , c ) c : 37.5 , d ) d : 36 , e ) e : 42
Answer: c
Input: Problem: in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 37 . in the company , what is the maximum number of non - managers in a department that has 11 managers ? 
Options: a ) 56 , b ) 57 , c ) 58 , d ) 59 , e ) 60
Answer: c
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 8 % of the money for taxi fare and buys 20 mangoes . how many oranges can he buy ? 
Options: a ) 21 , b ) 30 , c ) 20 , d ) 16 , e ) 12
Answer: a
Input: Problem: what number times ( 1 ⁄ 5 ) ^ 2 will give the value of 5 ^ 3 ? 
Options: a ) 5 , b ) 25 , c ) 125 , d ) 625 , e ) 3125
Answer: e
Input: Problem: how many numbers from 32 to 97 are exactly divisible by 9 ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 12
Answer: b
Input: Problem: if x is 11 percent greater than 90 , then x = 
Options: a ) 99.9 , b ) 91.0 , c ) 88.0 , d ) 70.9 , e ) 71.2
Answer: a
Input: Problem: when the positive integer y is divided by 9 , the remainder is 5 . what is the remainder when 3 y is divided by 9 ? 
Options: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 6
Answer: e
Input: Problem: zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 27 kg of zinc has been consumed in it ? 
Options: a ) 58 kg , b ) 60 kg , c ) 64 kg , d ) 70 kg , e ) none
Answer: b
Input: Problem: in a room filled with 6 people , all 6 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? 
Options: a ) 3 / 5 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 6 , e ) 7 / 12
Answer: a
Input: Problem: if 10 people contributed a total of $ 30.00 toward a gift and each of them contributed at least $ 2.00 , then the maximum possible amount any one person could have contributed is 
Options: a ) $ 1.00 , b ) $ 1.25 , c ) $ 12.00 , d ) $ 6.00 , e ) $ 20.00
Answer: c
Input: Problem: the average of 15 result is 55 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th result ? 
Options: a ) 760 , b ) 720 , c ) 700 , d ) 786 , e ) 797
Answer: e
Input: Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 300 . how much did he have with him in the beginning ? 
Options: a ) s 200 , b ) s 750 , c ) s 300 , d ) s 450 , e ) s 550
Answer: b
Input: Problem: 62467 × 9998 = ? 
Options: a ) 624545037 , b ) 627745452 , c ) 624545077 , d ) 624545066 , e ) 625454211
Answer: d
Input: Problem: the total age of a and b is 10 years more than the total age of b and c . c is how many year younger than 
Options: a ) 14 years , b ) 12 years , c ) 56 years , d ) 10 years , e ) 55 years
Answer: d
Input: Problem: what least number must be subtracted from 427398 so that remaining no . is divisible by 12 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: c
Input: Problem: what is the remainder when 43 ^ 92 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: if 25 % of a class averages 80 % on a test , 50 % of the class averages 65 % on the test , and the remainder of the class averages 90 % on the test , what is the overall class average ? 
Options: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %
Answer: d
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 19 more transactions than cal . how much transactions did jade handled ? 
Options: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 85
Answer: e
Input: Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds e in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ? 
Options: a ) 25 % , b ) 35 % , c ) 45 % , d ) 70 % , e ) 80 %
Answer: b
Input: Problem: how many numbers are divisible by 4 between 1 and 100 . 
Options: a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 25
Answer: a
Input: Problem: the average of 6 observations is 15 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? 
Options: a ) 1 , b ) 8 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 22 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: e
Input: Problem: 0.004 × 0.5 = ? 
Options: a ) none of these , b ) 0.02 , c ) 0.002 , d ) 0.0002 , e ) 2
Answer: c