Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: rs . 525 among a , b and c such that b may get 2 / 3 of a and c together get . find the share of c ? 
Options: a ) 127 , b ) 150 , c ) 177 , d ) 167 , e ) 122
Answer: b
Input: Problem: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price v per t - shirt that the vendor paid for these purchases ? 
Options: a ) $ 12.20 , b ) $ 12.50 , c ) $ 12.55 , d ) $ 12.70 , e ) $ 13.00
Answer: a
Input: Problem: find the least number which when divided by 20,25 , 35,40 leaves remainder 14,19 , 29,34 respectively . 
Options: a ) 1394 , b ) 1450 , c ) 1245 , d ) 2564 , e ) 1256
Answer: a
Input: Problem: the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 130 inclusive is the digital sum a multiple of 7 ? 
Options: a ) 7 , b ) 8 , c ) 14 , d ) 16 , e ) 20
Answer: c
Input: Problem: village p ’ s population is 800 greater than village q ' s population . if village q ’ s population were reduced by 500 people , then village p ’ s population would be 3 times as large as village q ' s population . what is village q ' s current population ? 
Options: a ) 1100 , b ) 1150 , c ) 1200 , d ) 1250 , e ) 1300
Answer: b
Input: Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 6514 , how much was it in the beginning ? 
Options: a ) 8545 , b ) 8770 , c ) 8515 , d ) 7999 , e ) 7989
Answer: c
Input: Problem: if x is 20 percent greater than 98 , then x = 
Options: a ) 68 , b ) 70.4 , c ) 86 , d ) 105.6 , e ) 117.6
Answer: e
Input: Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 1.50 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? 
Options: a ) $ 180 , b ) $ 135 , c ) $ 108 , d ) $ 60 , e ) $ 54
Answer: c
Input: Problem: there are , in a certain league , 50 teams , and each team face another team for a total of 4 times . how many games are played in the season ? 
Options: a ) 6660 , b ) 3600 , c ) 2400 , d ) 4900 , e ) 5400
Answer: d
Input: Problem: arjun started a business with rs . 5,000 and is joined afterwards by anoop with rs . 10 , 000 . 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 box contains 6 pairs of shoes ( 12 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? 
Options: a ) 1 / 11 , b ) 1 / 20 , c ) 1 / 19 , d ) 1 / 10 , e ) 1 / 9
Answer: a
Input: Problem: the captain of a cricket team of 11 members is 27 years old and the wicket keeper is 1 year older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Answer: d
Input: Problem: a man was asked to state his age in years . his reply was , ` ` take my age 6 years hence , multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old i am . ' ' what was the age of the person ? 
Options: a ) 18 , b ) 92 , c ) 72 , d ) 26 , e ) 19
Answer: c
Input: Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 6 : 2 : 4 : 3 . if c gets $ 500 more than d , what is d ' s share ? 
Options: a ) $ 2000 , b ) $ 2500 , c ) $ 3000 , d ) $ 3600 , e ) $ 4200
Answer: c
Input: Problem: of the 20210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? 
Options: a ) 14.3 % , b ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %
Answer: e
Input: Problem: a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction e of the selected films are in color ? 
Options: a ) 1 / 130 , b ) 1 / 5 , c ) 3 / 13 , d ) 10 / 13 , e ) 30 / 31
Answer: e
Input: Problem: in a graduating class , 40 percent of the students are male . in this class , 60 percent of the male students and 40 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? 
Options: a ) 0.4 , b ) 0.44 , c ) 0.48 , d ) 0.52 , e ) 0.56
Answer: d
Input: Problem: if one positive integer is greater than another positive integer by 4 , and the difference of their cubes is 316 , what is their sum ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Answer: c
Input: Problem: in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the seventh row ? 
Options: a ) 13 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Answer: d
Input: Problem: the value of ( 0.625 * 0.0729 * 28.9 ) / ( 0.0017 * 0.025 * 8.1 ) is 
Options: a ) 0.3825 , b ) 3.825 , c ) 38.25 , d ) 382.5 , e ) 0.0382
Answer: d
Input: Problem: what is the units digit of the expression 13 ^ 27 + 1 ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 8 , e ) 9
Answer: d
Input: Problem: in the first round of the elections , the only two candidates got exactly the same number of votes . during the second round , 16000 votes switched from the first candidate to the second one . the total number of votes remained the same in both rounds , and no other votes switched sides . if , in the second round , the winning candidate got 5 times as many votes as the other candidate , how many people have voted in each round ? 
Options: a ) 15,000 , b ) 25,000 , c ) 40,000 , d ) 48,000 , e ) 60,000
Answer: d
Input: Problem: a man is 46 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 ) 44 years , b ) 18 years , c ) 20 years , d ) 22 years , e ) 16 years
Answer: a
Input: Problem: total 48 matches are conducted in knockout match type . how many players will be participated in that tournament ? 
Options: a ) 48 , b ) 47 , c ) 40 , d ) 42 , e ) 47
Answer: e
Input: Problem: if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ? 
Options: a ) 0.125 , b ) 0.225 , c ) 0.25 , d ) 0.5 , e ) 0.666
Answer: c
Input: Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 60 units . if today ' s production of 90 units raises the average to 65 units per day , what is the value of n ? 
Options: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 5
Answer: e
Input: Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let r be the average rental price for all apartments in the building . if r is $ 5,600 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 10,400 higher that r , then what percentage of apartments in the building are two - bedroom apartments ? 
Options: a ) 26 % , b ) 35 % , c ) 39 % , d ) 42 % , e ) 52 %
Answer: b
Input: Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 3125 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . 
Options: a ) 1287 , b ) 1285 , c ) 1283 , d ) 1280 , e ) 1281
Answer: d
Input: Problem: simplify 3 / 4 of 6 0 – 8 / 5 of 60 + ? = 12 
Options: a ) 48 , b ) 24 , c ) 56 , d ) 63 , e ) 14
Answer: d
Input: Problem: if 42.12 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: find the smallest number which when divided by 13 and 15 leaves respective remainders of 2 and 4 
Options: a ) 187 , b ) 197 , c ) 184 , d ) 219 , e ) 227
Answer: c
Input: Problem: in a forest 100 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? 
Options: a ) 150 , b ) 750 , c ) 1,250 , d ) 1,000 , e ) 2,500
Answer: d
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 4 . if x / y = 96.16 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 48 , d ) 25 , e ) 12
Answer: d
Input: Problem: find the least positive integer divisible by each of the integers between 5 through 10 ( including 10 ) . 
Options: a ) 560 , b ) 380 , c ) 900 , d ) 2560 , e ) 2520
Answer: e
Input: Problem: how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 2 ? 
Options: a ) 22 , b ) 20 , c ) 21 , d ) 18 , e ) 17
Answer: c
Input: Problem: in an it company , there are a total of 60 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? 
Options: a ) 15 , b ) 50 , c ) 55 , d ) 35 , e ) 65
Answer: a
Input: Problem: let the number which when multiplied by 15 is increased by 196 . 
Options: a ) 14 , b ) 20 , c ) 26 , d ) 28 , e ) 30
Answer: a
Input: Problem: ( 112 x 54 ) = ? 
Options: a ) 67000 , b ) 70000 , c ) 76500 , d ) 77200 , e ) 85200
Answer: b
Input: Problem: there are 5 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 8 other amateurs , what is the total number of chess games possible to be played in the tournament ? 
Options: a ) 10 , b ) 20 , c ) 40 , d ) 60 , e ) 120
Answer: b
Input: Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 30 pages . 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: c
Input: Problem: in a 500 member association consisting of men and women , exactly 20 % of men and exactly 50 % women are homeowners . what is the least number of members who are homeowners ? 
Options: a ) 149 , b ) 147 , c ) 101 , d ) 143 , e ) 141
Answer: c
Input: Problem: in smithtown , the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2 . if the number of right - handed men is maximized , then what q percent of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Answer: c
Input: Problem: company z has 61 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . 
Options: a ) 6 , b ) 7 , c ) 13 , d ) 9 , e ) 12
Answer: c
Input: Problem: find the average of all the numbers between 11 and 21 which are divisible by 2 . 
Options: a ) 15 , b ) 18 , c ) 16 , d ) 22 , e ) none
Answer: c
Input: Problem: the average age of a family of 6 members is 28 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ? 
Options: a ) 15 , b ) 18 , c ) 21 , d ) 12 , e ) 19
Answer: c
Input: Problem: 30 ^ 10 / 210 ^ 5 = ? 
Options: a ) 6 ^ 5 , b ) 5 ^ 6 , c ) ( 30 / 7 ) ^ 5 , d ) 6 ^ 3 , e ) 15 ^ 3
Answer: c
Input: Problem: in a graduating class , 40 percent of the students are male . in this class , 40 percent of the male students and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? 
Options: a ) 0.9 , b ) 0.72 , c ) 0.45 , d ) 0.35 , e ) 0.28
Answer: b
Input: Problem: the number 91 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 12 , c ) 21 , d ) 27 , e ) 39
Answer: b
Input: Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts , by weight . what is the number of pounds of almonds in 150 pounds of the mixture ? 
Options: a ) 107 , b ) 84 , c ) 40 , d ) 28 , e ) 20
Answer: a
Input: Problem: the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is : 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: an integer n between 1 and 99 , inclusive , is to be chosen at random . what is the probability that n ( n + 1 ) will be divisible by 3 ? 
Options: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6
Answer: d
Input: Problem: if 9 - 4 / x = 7 + 8 / x , then x = 
Options: a ) 15 , b ) 6 , c ) 1 , d ) 5 , e ) 12
Answer: b
Input: Problem: it takes 30 days to fill a laboratory dish with bacteria . if the size of the bacteria doubles each day , how long did it take for the bacteria to fill 1 / 64 of the dish ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Answer: c
Input: Problem: if x + y + z = 1 . then xy + yz + zx is 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6
Answer: c
Input: Problem: find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 year ? 
Options: a ) 306.06 , b ) 306.02 , c ) 306.04 , d ) 306.09 , e ) 306.12
Answer: c
Input: Problem: if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 6 , then what is the value of abc / def ? 
Options: a ) 27 / 4 , b ) 27 / 8 , c ) 3 / 4 , d ) 3 / 8 , e ) 1 / 4
Answer: e
Input: Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 795 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? 
Options: a ) 191 , b ) 199 , c ) 193 , d ) 212 , e ) 213
Answer: b
Input: Problem: diana is painting statues . she has 1 / 2 of a gallon of paint remaining . each statue requires 1 / 4 gallon of paint . how many statues can she paint ? 
Options: a ) 2 , b ) 20 , c ) 28 , d ) 14 , e ) 19
Answer: a
Input: Problem: the total circumference of two circles is 88 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ? 
Options: a ) 5.7 , b ) 6.0 , c ) 6.7 , d ) 9.7 , e ) 14.0
Answer: e
Input: Problem: the average of 11 numbers is 500 . out of 11 numbers the average of first 6 no . is 50 , and last 6 numbers is 60 then find 6 th number ? 
Options: a ) 95 , b ) 80 , c ) 110 , d ) 120 , e ) 72
Answer: c
Input: Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 482 more if the interest were payable half - yearly , then it were pay able yearly . find the sum ? 
Options: a ) 2099 , b ) 6086 , c ) 2976 , d ) 2000 , e ) 3862
Answer: d
Input: Problem: a straight line in the xy - plane has a slope of 4 and a y - intercept of 4 . on this line , what is the x - coordinate of the point whose y - coordinate is 800 ? 
Options: a ) 233 , b ) 299 , c ) 333 , d ) 199 , e ) 339
Answer: d
Input: Problem: how many 3 digit number formed by using 23 , 45 , 67 once such that number is divisible by 15 . 
Options: a ) 8 , b ) 13 , c ) 12 , d ) 20 , e ) 22
Answer: a
Input: Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 5 grades are d ' s . what is the number of students in the course ? 
Options: a ) 80 , b ) 110 , c ) 160 , d ) 100 , e ) 400
Answer: d
Input: Problem: 4 , 25,49 , 
Options: a ) 149 , b ) 169 , c ) 189 , d ) 209 , e ) 121
Answer: e
Input: Problem: if the average of 6 digits is 16 and the average of 4 of them is 10 , calculate the average of the remaining 2 numbers ? 
Options: a ) 36 , b ) 35 , c ) 28 , d ) 33 , e ) 21
Answer: c
Input: Problem: the average of numbers 0.64205 , 0.64203 , 0.64202 and 0.64201 is ? 
Options: a ) 0.64202 , b ) 0.64204 , c ) 0.642022 , d ) 0.642028 , e ) none
Answer: d
Input: Problem: the maximum number of students among them 848 pens and 630 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? 
Options: a ) 10 , b ) 4 , c ) 2 , d ) 14 , e ) 16
Answer: c
Input: Problem: x and y are integers . a + b < 11 , and a > 6 . what is the smallest possible value of a - b ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) - 2 , e ) - 4
Answer: c
Input: Problem: the average of 13 result is 20 . average of the first 8 of them is 20 and that of the last 8 is 40 . find the 8 th result ? 
Options: a ) 35 , b ) 37 , c ) 46 , d ) 90 , e ) 100
Answer: e
Input: Problem: the average of 10 numbers was calculated as 20 . it is discovered later on that while calculating the average , one number , namely 86 , was incorrectly read as 26 . what is the correct average ? 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26
Answer: e
Input: Problem: a , b and c have rs . 400 between them , a and c together have rs . 300 and b and c rs . 150 . how much does c have ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 100
Answer: b
Input: Problem: thabo owns exactly 220 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Answer: d
Input: Problem: in the game of dubblefud , red chips , blue chips and green chips are each worth 2 , 4 and 5 points respectively . in a certain selection of chips , the product of the point values of the chips is 16000 . if the number of blue chips in this selection doubles the number of green chips , how many red chips are in the selection ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: sum of the squares of 3 no . ' s is 138 and the sum of their products taken two at a time is 131 . find the sum ? 
Options: a ) 20 , b ) 24 , c ) 26 , d ) 28 , e ) 30
Answer: a
Input: Problem: the average age of 10 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years . find the average age of the women ? 
Options: a ) 21 , b ) 32 , c ) 30 , d ) 41 , e ) 37
Answer: a
Input: Problem: a cargo ship carrying 4 kinds of items , doohickies , geegaws , widgets , and yamyams , arrives at the port . each item weighs 2 , 11 , 5 , and 7 pounds , respectively , and each item is weighed as it is unloaded . if , in the middle of the unloading process , the product of the individual weights of the unloaded items equals 104 , 350400 pounds , how many widgets have been unloaded ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 25 , e ) 20 , 870,080
Answer: a
Input: Problem: rewrite ( 10 ^ 38 ) – 85 as a base 10 integer , what is the sum of the digits in that integer ? 
Options: a ) 354 , b ) 357 , c ) 330 , d ) 370 , e ) 360
Answer: c
Input: Problem: car a travels at 3 times the average speed of car b . car a started to travel at 12 : 00 o ' clock , car b started to travel at 16 : 00 o ' clock . what is the speed of car b ( in km / h ) if the total distance that both cars traveled until 18 : 00 was 1000 km ? 
Options: a ) 10 . , b ) 25 . , c ) 30 . , d ) 38 , e ) 50 .
Answer: e
Input: Problem: payal finished 2 / 3 of a book . she calculated that she finished 20 more pages than she has yet to read . how long is her book ? 
Options: a ) a ) 60 , b ) b ) 150 , c ) c ) 130 , d ) d ) 90 , e ) e ) 210
Answer: a
Input: Problem: an alloy of copper and zinc contains copper and zinc in the ratio 5 : 3 . another alloy of copper and zinc contains copper and zinc in the ratio 1 : 7 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? 
Options: a ) 1 : 5 , b ) 7 : 3 , c ) 5 : 3 , d ) 3 : 1 , e ) 4 : 3
Answer: d
Input: Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 52 , what is the greatest possible value of b × a ? 
Options: a ) 0 , b ) 5 , c ) 10 , d ) 15 , e ) 22
Answer: e
Input: Problem: each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds , and the average ( arithmetic mean ) weight of the boxes in the shipment is 18 pounds . if the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20 - pound boxes , how many 20 - pound boxes must be removed ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 15
Answer: b
Input: Problem: in arun ’ s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest not agree with arun and he thinks that arun ’ s weight is greater than 60 kg but less than 70 kg . his mother ’ s view is that his weight can not be greater than 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ? 
Options: a ) 66 kg , b ) 67 kg , c ) 68 kg , d ) 69 kg , e ) none of these
Answer: b
Input: Problem: if sharon ' s weekly salary increased by 16 percent , she would earn $ 406 per week . if instead , her weekly salary were to increase by 20 percent , how much would she earn per week ? 
Options: a ) $ 420 , b ) $ 382 , c ) $ 385 , d ) $ 392 , e ) $ 399
Answer: a
Input: Problem: the positive numbers w , x , y , and z are such that x is 25 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? 
Options: a ) 15.2 % , b ) 16.2 % , c ) 20.0 % , d ) 23.2 % , e ) 24.8 %
Answer: b
Input: Problem: the units digit of ( 10 ) ^ ( 87 ) + ( 93 ) ^ ( 46 ) is : 
Options: a ) 9 , b ) 4 , c ) 6 , d ) 8 , e ) 0
Answer: a
Input: Problem: a meal cost $ 32.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : 
Options: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37
Answer: e
Input: Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 22932 / - in 3 years at the same rate of interest . find the rate percentage ? 
Options: a ) 5 % , b ) 7 % , c ) 9 % , d ) 11 % , e ) 30 %
Answer: e
Input: Problem: for what value of x , is | x – 3 | + | x + 1 | + | x | = 10 ? 
Options: a ) 0 , b ) 3 , c ) - 3 , d ) 4 , e ) - 2
Answer: d
Input: Problem: the sum of the squares of three numbers is 138 , while the sum of their products taken two at a time is 131 . their sum is 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 35 , e ) 45
Answer: b
Input: Problem: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 65.0 . what is the quiz score of the student who dropped the class ? 
Options: a ) a ) 10 , b ) b ) 25 , c ) c ) 40 , d ) d ) 55 , e ) e ) 70
Answer: b
Input: Problem: ( 786 × 74 ) ÷ ? = 1938.8 
Options: a ) a ) 4.8 , b ) b ) 48 , c ) c ) 30 , d ) d ) 68 , e ) e ) 48
Answer: c
Input: Problem: each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 1250 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . 
Options: a ) 513 , b ) 512 , c ) 517 , d ) 519 , e ) 521
Answer: b
Input: Problem: in an election only two candidates contested 20 % of the voters did not vote and 120 votes were declared as invalid . the winner got 200 votes more than his opponent thus he secured 41 % votes of the total voters on the voter list . percentage votes of the defeated candidate out of the total votes casted is : 
Options: a ) 22 , b ) 389 , c ) 38 , d ) 45 , e ) 01
Answer: d
Input: Problem: mixture a is 10 percent alcohol , and mixture b is 40 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 20 percent alcohol , approximately how many gallons of mixture a are in the mixture ? 
Options: a ) 1.6 , b ) 1.7 , c ) 1.8 , d ) 1.9 , e ) 2.0
Answer: a
Input: Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 19
Answer: a
Input: Problem: how many numbers from 2 to 9 are exactly divisible by 2 ? 
Options: a ) a ) 2 , b ) b ) 3 , c ) c ) 5 , d ) d ) 4 , e ) e ) 8
Answer: d
Input: Problem: when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 3 ] = ? 
Options: a ) [ 22 ] , b ) [ 44 ] , c ) [ 45 ] , d ) [ 28 ] , e ) [ 10 ]
Answer: d
Input: Problem: 12 + 13 + 14 + . . . 51 + 52 + 53 + 54 = ? 
Options: a ) 1419 , b ) 1362 , c ) 1363 , d ) 1364 , e ) 1365
Answer: a
Input: Problem: a number when divided by 296 leaves 75 as remainder when the same number is divided by 37 then the remainder will be ? 
Options: a ) 2 , b ) 9 , c ) 6 , d ) 5 , e ) 1
Answer: e
Input: Problem: a warehouse is labeling computer inventory with 5 - digit codes . each code is to consist of 4 digits between the numbers 0 and 9 . the manager is debating whether to allow any 5 - digit codes to have leading zero ' s before a non - zero number is used . if not allowed , then numbers like 0025 cannot be used . the manager wants to measure the magnitude of the number of 5 - digit code possibilities that are lost if he disallows the use of leading zero ' s . how many such codes would be lost ? 
Options: a ) 981 , b ) 1000 , c ) 1011 , d ) 10000 , e ) 1110
Answer: d
Input: Problem: if the sum of two positive integers is 26 and the difference of their squares is 52 , what is the product of the two integers ? 
Options: a ) 108 , b ) 119 , c ) 128 , d ) 135 , e ) 168
Answer: e
Input: Problem: a student is ranked 17 th from right and 5 th from left . how many students are there in totality ? 
Options: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Answer: d
Input: Problem: how many different values of positive integer x , for which | x + 4 | < x , are there ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16
Answer: d
Input: Problem: 8 x 1.6 - 3 x 1.4 / 1.3 = ? 
Options: a ) 21.5 , b ) 22 , c ) 15.8 , d ) 12.8 , e ) 25
Answer: a
Input: Problem: how many prime numbers exist in 67 x 353 x 1110 ? 
Options: a ) 30 prime number , b ) 29 prime number , c ) 27 prime number , d ) 31 prime number , e ) none of these
Answer: a
Input: Problem: 117 x 217 + 83 x 83 = ? 
Options: a ) 79698 , b ) 20578 , c ) 80698 , d ) 81268 , e ) none of them
Answer: b
Input: Problem: how many positive integers less than 1960 are such that the product of their digits is 10 . 
Options: a ) 220 , b ) 230 , c ) 280 , d ) 220 , e ) 240
Answer: c
Input: Problem: find the value for m ? 21 ( m + n ) + 21 = 21 ( - m + n ) + 21 
Options: a ) 0 , b ) - 1 , c ) 1 , d ) 2 , e ) 3
Answer: c
Input: Problem: 1939392 * 625 
Options: a ) 1212120010 , b ) 1212120000 , c ) 1212120011 , d ) 1212121010 , e ) 1212121000
Answer: b
Input: Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers t are there between 6 * + 2 and 6 * + 6 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: what is the least number should be added to 1100 , so the sum of the number is completely divisible by 23 ? 
Options: a ) 1 , b ) 2 , c ) 5 , d ) 4 , e ) 8
Answer: d
Input: Problem: if x = 4 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? 
Options: a ) − 100 , b ) 0.015 , c ) 0.25 , d ) 4 , e ) 8
Answer: b
Input: Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price w per glass on the second day ? 
Options: a ) $ 015 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45
Answer: d
Input: Problem: a container holds 4 quarts of alcohol and 4 quarts of water . how many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume ? 
Options: a ) 4 / 3 , b ) 5 / 3 , c ) 7 / 3 , d ) 8 / 3 , e ) 10 / 3
Answer: d
Input: Problem: evaluate : 1222343 - 12 * 3 * 2 = ? 
Options: a ) 122336 , b ) 145456 , c ) 122347 , d ) 126666 , e ) 383838
Answer: a
Input: Problem: 8 people went to a restaurant for dinner . 7 of them spent $ 10 each on their meals and the eighth spent $ 7 more than the average expenditure of all 8 people . what was the total amount of money that the 8 people spent ? 
Options: a ) $ 85 , b ) $ 88 , c ) $ 91 , d ) $ 94 , e ) $ 97
Answer: b
Input: Problem: a man is 37 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 ) 78 years , b ) 22 years , c ) 88 years , d ) 35 years , e ) 65 years
Answer: d
Input: Problem: the average of 10 numbers was calculated as 19 . it is discovered later on that while calculating the average , one number , namely 76 , was incorrectly read as 26 . what is the correct average ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: d
Input: Problem: the average age of applicants for a new job is 30 , 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: find the value of 201834 x 99999 = m ? 
Options: a ) 20183198166 , b ) 20194181766 , c ) 20175292556 , d ) 20132191166 , e ) 20153198166
Answer: a
Input: Problem: calculate the largest 5 digit number which is exactly divisible by 77 ? 
Options: a ) 99111 , b ) 99946 , c ) 99869 , d ) 99792 , e ) 99654
Answer: b
Input: Problem: the average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student . the weight of the student is 
Options: a ) 46 kg , b ) 48 kg , c ) 70 kg , d ) 72 kg , e ) none of these
Answer: a
Input: Problem: mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 11 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: c
Input: Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 35 instead of 99 then find the correct average marks up to two decimal places . 
Options: a ) 73.41 , b ) 74.31 , c ) 72.43 , d ) 73.43 , e ) 73.82
Answer: e
Input: Problem: ( 1.1 + 1.1 + 1.1 + 1.1 ) x 1.1 x 1.1 = ? = ? x 0.121 
Options: a ) 54 , b ) 33 , c ) 44 , d ) 22 , e ) 26
Answer: c
Input: Problem: a ’ s speed is 20 / 19 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? 
Options: a ) 1 / 19 , b ) 3 / 19 , c ) 1 / 10 , d ) 1 / 20 , e ) 3 / 10
Answer: d
Input: Problem: of 3 numbers , the third is twice the second and the second is 4 times the first . if their average is 78 , the smallest of the 3 numbers is : 
Options: a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Answer: a
Input: Problem: in a company the manager wants to give some gifts to all of the workers . in each block there are about 200 workers are there . the total amount for giving the gifts for all the workers is $ 6000 . the worth of the gift is 2 $ . how many blocks are there in the company ? 
Options: a ) 10 , b ) 12 , c ) 18 , d ) 20 , e ) 15
Answer: e
Input: Problem: 1804 x 1804 = ? 
Options: a ) a ) 3254416 , b ) b ) 3624216 , c ) c ) 3624316 , d ) d ) 3625116 , e ) e ) 3625216
Answer: a
Input: Problem: find the sum 3 / 10 + 5 / 100 + 8 / 1000 in decimal form ? 
Options: a ) 0.853 , b ) 0.358 , c ) 3.58 , d ) 8.35 , e ) none
Answer: b
Input: Problem: in a fort , there are 1200 soldiers . if each soldier consumes 3 kg per day , the provisions available in the fort will last for 30 days . if some more soldiers join , the provisions available will last for 25 days given each soldier consumes 2.5 kg per day . find the number of soldiers joining the fort in that case ? 
Options: a ) 273 , b ) 528 , c ) 539 , d ) 538 , e ) 723
Answer: b
Input: Problem: if 4 ^ k = 5 , then 4 ^ ( 2 k + 2 ) = 
Options: a ) 400 , b ) 540 , c ) 100 , d ) 830 , e ) 420
Answer: a
Input: Problem: the product of a and b is equal to 14 more than twice the sum of a and b . if b = 8 , what is the value of b - a ? 
Options: a ) 2 , b ) 3 , c ) 7 , d ) 24 , e ) 35
Answer: b
Input: Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord e , in feet ? 
Options: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5
Answer: d
Input: Problem: for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 100 ? 
Options: a ) 30 , b ) 28 , c ) 27 , d ) 25 , e ) 26
Answer: d
Input: Problem: if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n ? . 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Answer: d
Input: Problem: when a student joe , weighing 42 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ? 
Options: a ) 5.5 kg , b ) 6 kg , c ) 30 kg , d ) 36.5 kg , e ) 71 kg
Answer: b
Input: Problem: a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money n did bob receive ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52
Answer: b
Input: Problem: the wages earned by robin is 30 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? 
Options: a ) 18.75 % , b ) 23 % , c ) 30 % , d ) 50 % , e ) 100 %
Answer: b
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 90 was wrongly taken as 23 . the corrected new mean is ? 
Options: a ) 37.3 , b ) 36.1 , c ) 36.5 , d ) 36.9 , e ) 36.3
Answer: a
Input: Problem: what is the sum of all 3 digit integers formed using the digits 34 and 5 ( repetition is allowed ) 
Options: a ) 11982 , b ) 11984 , c ) 11985 , d ) 11988 , e ) 11986
Answer: d
Input: Problem: if x is a positive number and 1 / 3 the square root of x is equal to 3 x , then x = 
Options: a ) 1 / 3 , b ) 1 / 9 , c ) 1 / 81 , d ) 1 , e ) 81
Answer: c
Input: Problem: the average of numbers 0.44204 , 0.44203 , 0.44202 and 0.44201 is ? 
Options: a ) 0.44202 , b ) 0.44204 , c ) 0.442022 , d ) 0.442025 , e ) none
Answer: d
Input: Problem: if x / 5 + 9 / x = 14 / 5 , what are the values of 3 x - 7 ? 
Options: a ) 8 and 9 , b ) 8 and 20 , c ) 17 and 21 , d ) 12 and 29 , e ) 17 and 29
Answer: b
Input: Problem: if 28 less than 5 times a certain number is 232 . what is the number ? 
Options: a ) 32 , b ) 42 , c ) 52 , d ) 62 , e ) 72
Answer: c
Input: Problem: find the ones digit of 73 ^ 356 
Options: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: a
Input: Problem: when the price of an article is reduced by 30 % , the sales increases by 50 % . the percentage change in the total amount of receipts is ? 
Options: a ) 5 % decrease , b ) 5 % increase , c ) 10 % decrease , d ) 15 % decrease , e ) none of these
Answer: b
Input: Problem: what does the hexa number e 78 in radix 7 . 
Options: a ) 12455 , b ) 14153 , c ) 14256 , d ) 13541 , e ) 14541
Answer: d
Input: Problem: right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis . the x - and y - coordinates of p , q and r are to be integers that satisfy the inequalities - 4 < = x < = 5 and 6 < = y < = 16 . how many different triangles with these properties could be constructed ? 
Options: a ) 110 , b ) 1100 , c ) 9900 , d ) 10000 , e ) 12100
Answer: c
Input: Problem: if 6 x ^ 2 + x - 12 = ( ax + b ) ( cx + d ) , then | a | + | b | + | c | + | d | 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Answer: b
Input: Problem: we run a business that rents out canoes and kayaks . a canoe rental costs $ 9 per day , and a kayak rental costs $ 12 dollars per day . one day , our business rents out 4 canoes for every 3 kayaks and receives a total of $ 432 in revenue . how many more canoes than kayaks were rented out ? 
Options: a ) 10 , b ) 9 , c ) 8 , d ) 7 , e ) 6
Answer: e
Input: Problem: two employees m and n are paid a total of $ 583 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ? 
Options: a ) $ 245 , b ) $ 255 , c ) $ 265 , d ) $ 275 , e ) $ 285
Answer: c
Input: Problem: the average of 6 quantities is 8 . the average of 4 of them is 5 . what is the avg . of the remaining 2 numbers ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: d
Input: Problem: calculate the average of first 18 even numbers is ? 
Options: a ) 21 , b ) 29 , c ) 19 , d ) 14 , e ) 10
Answer: c
Input: Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 9 , x ^ 4 + ( 1 / x ^ 4 ) = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 79
Answer: e
Input: Problem: if one - third of one - fourth of a number is 18 , then 3 - tenth of that number is : a . 35 
Options: a ) 23 , b ) 87 , c ) 26 , d ) 64.8 , e ) 01
Answer: d
Input: Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,600 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? 
Options: a ) 38,000 , b ) 40,000 , c ) 42,600 , d ) 45,600 , e ) 48,500
Answer: d
Input: Problem: in a class there are a total of 8 rows of desks and each desk can seat one student . there are 10 desks in the first row . in each subsequent row there are 2 more desks than in the previous row . find the maximum number of students seated in the class ? 
Options: a ) 112 , b ) 144 , c ) 136 , d ) 132 , e ) 118
Answer: c
Input: Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1987 on her 32 nd birthday first be eligible to retire under this provision ? 
Options: a ) 2003 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007
Answer: d
Input: Problem: find the least number of complete years in which a sum of money put out at 15 % compound interest will be more than double of itself ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: the average score of a cricketer for 12 matches is 48 runs . if the average for first 8 matches is 40 , then average for last 4 matches is 
Options: a ) 33.25 , b ) 89 , c ) 64 , d ) 68 , e ) 90
Answer: c
Input: Problem: a number when divided by 342 gives a remainder 47 . when the same number if it divided by 19 , what would be the remainder ? 
Options: a ) 1 , b ) 2 , c ) 5 , d ) 9 , e ) 11
Answer: d
Input: Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ? 
Options: a ) 858 . , b ) 545 . , c ) 618 . , d ) 644 . , e ) 666 .
Answer: a
Input: Problem: rahul played weel in this season . his current batting averagge is 50 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 6 , e ) 5
Answer: d
Input: Problem: the average of 11 numbers is 10.7 . if the average of first 6 is 10.5 and that of the last 6.00001 is 11.4 the sixth number is ? 
Options: a ) 9 , b ) 9.2 , c ) 10 , d ) 13.7 , e ) 12
Answer: d
Input: Problem: 50 men shake hands with each other . maximum no of handshakes without cyclic handshakes . 
Options: a ) 190 , b ) 200 , c ) 1225 , d ) 220 , e ) 230
Answer: c
Input: Problem: how many two - digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4 ? options : 
Options: a ) one , b ) two , c ) three , d ) four , e ) five
Answer: d
Input: Problem: paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , quentin ' s new income would be what fraction of paul ' s new income ? 
Options: a ) 11 / 12 , b ) 13 / 17 , c ) 22 / 30 , d ) 12 / 19 , e ) 11 / 19
Answer: c
Input: Problem: for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 3 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ? 
Options: a ) 5 / 27 , b ) 2 / 9 , c ) 1 / 3 , d ) 4 / 9 , e ) 2 / 3
Answer: d
Input: Problem: a house wife saved $ 3.50 in buying an item on sale . if she spent $ 32.50 for the item , approximately how much percent she saved in the transaction ? 
Options: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 12 %
Answer: c
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 , 25,000 as total savings , how much has he saved in public provident fund ? 
Options: a ) 80000 , b ) 60000 , c ) 50000 , d ) 75000 , e ) 90000
Answer: c
Input: Problem: what is the 23 th digit to the right of the decimal point in the decimal form of 36 / 66 ? 
Options: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) 6
Answer: b
Input: Problem: the greatest number that exactly divided 105 , 1001 and 2436 is : 
Options: a ) 3 , b ) 7 , c ) 11 , d ) 21 , e ) 24
Answer: b
Input: Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 948 in total compensation , how many total hours did he work that week ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 51
Answer: e
Input: Problem: evaluate : 2344 - 12 * 3 * 2 = ? 
Options: a ) 2337 , b ) 1227 , c ) 3327 , d ) 5457 , e ) 7677
Answer: a
Input: Problem: what least number should be subtracted from 1,439 so that the remainder when divided by 5 , 11 , and 13 will leave in each case the same remainder 3 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: e
Input: Problem: calculate 73196 ÷ ? = 631 
Options: a ) 101 , b ) 116 , c ) 119 , d ) 116 , e ) 32
Answer: d
Input: Problem: john found that the average of 15 numbers is 40 . if 11 is added to each number then the mean of number is ? 
Options: a ) 51 , b ) 45 , c ) 65 , d ) 78 , e ) 64
Answer: a
Input: Problem: what is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1 ? 
Options: a ) 200 , b ) 320 , c ) 480 , d ) 500 , e ) 600
Answer: b
Input: Problem: ( 7895632 x 881 ) = ? 
Options: a ) 6846381250 , b ) 6584638130 , c ) 6584638135 , d ) 6584638140 , e ) 6956051792
Answer: e
Input: Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 120,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? 
Options: a ) $ 35,000 , b ) $ 45,000 , c ) $ 55,000 , d ) $ 65,000 , e ) $ 75,000
Answer: b
Input: Problem: an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers . how many coins did the old man have ? 
Options: a ) 24 , b ) 26 , c ) 30 , d ) 81 , e ) 40
Answer: d
Input: Problem: a house wife saved $ 2.50 in buying an item on sale . if she spent $ 25 for the item , approximately how much percent she saved in the transaction ? 
Options: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 12 %
Answer: b
Input: Problem: if 6 - 12 / x = 7 - 7 / x , then x = 
Options: a ) - 5 , b ) 19 , c ) - 7 / 5 , d ) 1 , e ) 5 / 6
Answer: a
Input: Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 4 . if the sum of their ages is 132 , what is the difference between the ages of patrick and monica ? 
Options: a ) 27 , b ) 48 , c ) 45 , d ) 72 , e ) 33
Answer: e
Input: Problem: at veridux corporation , there are 210 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 55
Answer: e
Input: Problem: a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 200 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 89 , b ) 20 , c ) 40 , d ) 88 , e ) 34
Answer: c
Input: Problem: 1370 , 1320 , x , - 180 , - 6430 
Options: a ) 1070 , b ) 6530 , c ) 6630 , d ) 6730 , e ) 6830
Answer: a
Input: Problem: in a group of cows and chickens , the number of legs was 20 more than twice the number of heads . the number of cows was : 
Options: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 14
Answer: c
Input: Problem: 1 , 1 , 3 , 9 , 5 , 25 , 7 , 49 _ , 81 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: d
Input: Problem: if a - b = 2 and a 2 + b 2 = 25 , find the value of ab . 
Options: a ) a ) 10.5 , b ) b ) 12 , c ) c ) 15 , d ) d ) 18 , e ) e ) 20
Answer: a
Input: Problem: 11 friends went to a hotel and decided to pay the bill amount equally . but 10 of them could pay rs . 60 each as a result 11 th has to pay rs . 50 extra than his share . find the amount paid by him . 
Options: a ) 110 , b ) 111 , c ) 115 , d ) 123 , e ) none
Answer: c
Input: Problem: ( 12 ) ^ 3 x 6 ^ 4 ÷ 432 = ? 
Options: a ) 5184 , b ) 5060 , c ) 5148 , d ) 5084 , e ) none of them
Answer: e