niryuu/sni-each-converted huggingface dataset:
Problem: what is the units digit of the expression 14 ^ 7 − 19 ^ 4 ? 
Options: a ) 0 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output: e
Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 180 . if the ratio of his marks in english and maths is 1 : 2 , find his marks in science ? 
Options: a ) 19 , b ) 77 , c ) 66 , d ) 55 , e ) 31
Output: a
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
Output: c
Problem: n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 12 ? 
Options: a ) 12 , b ) 6 , c ) 14 , d ) 16 , e ) 10
Output: a
Problem: mr . x , a mathematician , defines a number as ' connected with 6 if it is divisible by 6 or if the sum of its digits is 6 , or if 6 is one of the digits of the number . other numbers are all ' not connected with 6 ' . as per this definition , the number of integers from 1 to 60 ( both inclusive ) which are not connected with 6 is 
Options: a ) 18 , b ) 22 , c ) 42 , d ) 43 , e ) 45
Output: d
Problem: anne bought doughnuts for a class breakfast party . she bought 12 chocolate doughnuts , 6 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ? 
Options: a ) 25 , b ) 26 , c ) 39 , d ) 21 , e ) 11
Output: b
Problem: robert ate 9 chocolates , nickel ate 2 chocolates . how many more chocolates did robert ate than nickel ? 
Options: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2
Output: b
Problem: find the value of ( 19 + 43 / 151 ) × 151 
Options: a ) 2924 , b ) 2916 , c ) 2614 , d ) 2912 , e ) 2215
Output: d
Problem: a bag of potatoes weighs 16 kg divided by a quarter of its weight . how much does the bag weigh ? 
Options: a ) 4 kg , b ) 8 kg , c ) 7 kg , d ) 3 kg , e ) 9 kg
Output: b
Problem: the average of 5 numbers id 27 . if one number is excluded , the average becomes 25 . the excluded number is 
Options: a ) 25 , b ) 27 , c ) 30 , d ) 35 , e ) none
Output: d
Problem: rahul played weel in this season . his current batting averagge is 53 . if he score 78 runs in today match . his batting average will become 58 . how many matches had he played in this season . 
Options: a ) 4 , b ) 10 , c ) 9 , d ) 6 , e ) 5
Output: a
Problem: a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 9 volts , what was the smallest possible recording in volts ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 7
Output: e
Problem: the average age of a class of 39 students is 15 years . if the age of the teacher be included , then the average increased by 3 months . find the age of the teacher ? 
Options: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 39
Output: a
Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 6 points if you must draw exactly 3 “ low ” cards ? 
Options: a ) 1 , b ) 20 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 9 and 39 inclusive . 
Options: a ) 351 , b ) 384 , c ) 410 , d ) 424 , e ) 450
Output: b
Problem: total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3 / 4 liter milk 5 cow gives each 1 / 4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how ? 
Options: a ) 10 , b ) 5 , c ) 15 , d ) 7.5 , e ) 12.5
Output: b
Problem: if the radius of a cylinder is doubled and height 5 times , what is the new volume of the cylinder divided by the old one ? 
Options: a ) 8 . , b ) 2 . , c ) 6 . , d ) 20 . , e ) 10 .
Output: d
Problem: a small pool filled only with water will require an additional 600 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 600 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? 
Options: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 2000
Output: e
Problem: how many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number ? 
Options: a ) 4 , b ) 8 , c ) 11 , d ) 12 , e ) 15
Output: b
Problem: solve for x and check : - 12 x = 72 
Options: a ) - 4 , b ) - 2 , c ) - 6 , d ) - 12 , e ) none of these
Output: c
Problem: if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by 
Options: a ) 6 only , b ) 6 and 12 both , c ) 12 only , d ) 18 only , e ) 12 and 18 both
Output: b
Problem: log ( a ( a ( a ) ^ 1 / 4 ) ^ 1 / 4 ) ^ 1 / 4 here base is a . 
Options: a ) 0 , b ) 21 / 64 , c ) 1 , d ) 22 / 63 , e ) 23 / 65
Output: b
Problem: if 1488 / 1.24 = 1200 , then 148.8 / 12.4 is equal to ? 
Options: a ) 17 , b ) 10 , c ) 14 , d ) 12 , e ) 11
Output: d
Problem: a pharmaceutical company received $ 6 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? 
Options: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 72 %
Output: e
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
Output: d
Problem: if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by : 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 6 only , e ) 6 and 12 both
Output: e
Problem: what is the least common multiple of 15 , 22 and 24 ? 
Options: a ) 60 , b ) 120 , c ) 240 , d ) 1320 , e ) 1720
Output: d
Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ? 
Options: a ) 40 , b ) 45 , c ) 49 , d ) 51 , e ) 43
Output: b
Problem: find large number from below question the difference of two numbers is 2500 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 3345 , b ) 1250 , c ) 1540 , d ) 2997 , e ) 1635
Output: d
Problem: the area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9 . if the sum of the perimeters of both squares is 32 , what is the value of x ? 
Options: a ) 0 , b ) 2 , c ) 2.5 , d ) 4.67 , e ) 3
Output: e
Problem: at the opening of a trading day at a certain stock exchange , the price per share of stock k was $ 8 . if the price per share of stock k was $ 9 at the closing of the day , what was the percent increase in the price per share of stock k for that day ? 
Options: a ) 1.4 % , b ) 5.9 % , c ) 11.1 % , d ) 12.5 % , e ) 23.6 %
Output: d
Problem: in a division sum , the quotient is 20 , the divisor 66 and the remainder 55 , find the dividend ? 
Options: a ) 1375 , b ) 1376 , c ) 1875 , d ) 1365 , e ) 1345
Output: a
Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? 
Options: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 23
Output: d
Problem: ( 7.5 × 7.5 + 37.5 + 2.5 × 2.5 ) is equal to : 
Options: a ) 30 , b ) 60 , c ) 80 , d ) 100 , e ) none of these
Output: d
Problem: a fold density is 19 times greater than the water and for copper it is 9 times . at what ratio you can mix gold and copper to get 15 times denser than water . ? 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 8 , e ) 3 : 7
Output: b
Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 30 as remainder . find the no . is ? 
Options: a ) 122443 , b ) 154546 , c ) 165454 , d ) 186545 , e ) 220030
Output: e
Problem: the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.9 kg . the weight of the new student is ? 
Options: a ) 10.6 kg , b ) 10.8 kg , c ) 11 kg , d ) 13 kg , e ) none
Output: d
Problem: a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 14 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ? 
Options: a ) $ 2,240 , b ) $ 2,120 , c ) $ 1,960 , d ) $ 1,920 , e ) $ 1,400
Output: a
Problem: find the total number of prime factors in the expression ( 4 ) ^ 13 x ( 7 ) ^ 5 x ( 11 ) ^ 2 
Options: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 33
Output: e
Problem: shekar scored 76 , 65 , 82 , 67 and 85 marks in mathematics , science , social studies , english and biology respectively . what are his average marks ? 
Options: a ) 65 , b ) 69 , c ) 75 , d ) 85 , e ) 90
Output: c
Problem: three numbers are in the ratio 2 : 3 : 5 and their average is 50 . the largest number is : 
Options: a ) 30 , b ) 75 , c ) 27 , d ) 21 , e ) 22
Output: b
Problem: in the set of positive integers from 1 to 60 , what is the sum of all the odd multiples of 5 ? 
Options: a ) 180 , b ) 185 , c ) 190 , d ) 160 , e ) 165
Output: a
Problem: when x is multiplied by 3 , the result is 26 more than the result of subtracting x from 26 . what is the value of x ? 
Options: a ) - 4 , b ) - 2 , c ) 11 , d ) 13 , e ) 22
Output: d
Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg . what is the weight of the new person ? 
Options: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg
Output: e
Problem: in a group of ducks and cows , the total number of legs are 36 more than twice the number of heads . find the total number of cows . 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: d
Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 15 times as heavy as water ? 
Options: a ) 3 : 2 , b ) 3 : 8 , c ) 5 : 7 , d ) 3 : 7 , e ) 3 : 6
Output: a
Problem: what is the total number of positive integers that are less than 200 and that have no positive factor in common with 200 other than 1 ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100
Output: c
Problem: solve x 2 â € “ 3 x â € “ 4 = 0 . 
Options: a ) 14 , b ) - 14 , c ) 23 , d ) 2 , - 3 , e ) 34
Output: b
Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2013 ) = ? 
Options: a ) 2014 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781
Output: a
Problem: the average of 25 results is 50 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ? 
Options: a ) 741 , b ) 752 , c ) 878 , d ) 785 , e ) 458
Output: c
Problem: ages of two persons differ by 22 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age 
Options: a ) 12,28 , b ) 14,30 , c ) 17,39 , d ) 18,34 , e ) 19,34
Output: c
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 : 5 . if the sum of their ages is 148 , what is the difference between the ages of patrick and monica ? 
Options: a ) 27 , b ) 48 , c ) 45 , d ) 72 , e ) 18
Output: b
Problem: what number should replace the question mark ? 10 , 30 , 14 , 25 , 18 , 20 , - - - ? 
Options: a ) 19 , b ) 21 , c ) 25 , d ) 22 , e ) 20
Output: d
Problem: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 56 as quotient . what is the correct quotient ? 
Options: a ) 0 , b ) 12 , c ) 32 , d ) 20 , e ) 25
Output: c
Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 90 , how many horses are there ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: e
Problem: 8269 ã — 9998 = ? 
Options: a ) 85432864 , b ) 82673462 , c ) 86985434 , d ) 68954365 , e ) 65486954
Output: b
Problem: if x is 13 percent greater than 80 , then x = 
Options: a ) 88.8 , b ) 90.4 , c ) 88.0 , d ) 70.9 , e ) 71.2
Output: b
Problem: all the students of class are told to sit in circle shape . here the boy at the 10 th position is exactly opposite to 40 th boy . total number of boys in the class ? 
Options: a ) 50 , b ) 45 , c ) 60 , d ) 55 , e ) 53
Output: c
Problem: the average price of 3 items of furniture is rs . 15000 . if their prices are in the ratio 2 : 4 : 8 , the price of the cheapest item is ? 
Options: a ) 2379 , b ) 2889 , c ) 5625 , d ) 9000 , e ) 28311
Output: c
Problem: a charitable association sold an average of 66 raffle tickets per member . among the female members , the average was 70 raffle tickets . the male to female ratio of the association is 1 : 2 . what was the average number e of tickets sold by the male members of the association 
Options: a ) 50 , b ) 56 , c ) 58 , d ) 62 , e ) 66
Output: c
Problem: the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ? 
Options: a ) 87 , b ) 91 , c ) 100 , d ) 96 , e ) 101
Output: b
Problem: in a division sum , the quotient is 120 , the divisor 456 and the remainder 333 , find the dividend ? 
Options: a ) 55287 , b ) 29887 , c ) 27768 , d ) 55053 , e ) 17191
Output: d
Problem: if 10,000 microns = 1 decimeter , and 10,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ? 
Options: a ) 0.01 , b ) 1 , 000,000 , c ) 0.001 , d ) 1,000 , e ) 1.0 e - 05
Output: b
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 9 managers ? 
Options: a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48
Output: d
Problem: john has $ 1600 at the beginning of his trip , after spending money , he still has exactly $ 600 less than he spent on the trip . how much money does john still have ? 
Options: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 500
Output: e
Problem: what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 83 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: b
Problem: the temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? 
Options: a ) 65 , b ) 61.875 , c ) 80 , d ) 85 , e ) 90
Output: b
Problem: teacher took exam for english , average for the entire class was 80 marks . if we say that 10 % of the students scored 95 marks and 20 % scored 90 marks then calcualte average marks of the remaining students of the class . 
Options: a ) 60 , b ) 70 , c ) 65 , d ) 75 , e ) 80
Output: d
Problem: find the value of 582964 x 99999 = m ? 
Options: a ) 58210607666 , b ) 58310607896 , c ) 58295817036 , d ) 58591650836 , e ) 58310692816
Output: c
Problem: vishal invested 10 % more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 6936 , how much amount did raghu invest ? 
Options: a ) 1287 , b ) 2887 , c ) 2000 , d ) 1129 , e ) 2400
Output: e
Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 59000 ? 
Options: a ) 81000 , b ) 81007 , c ) 74671.875 , d ) 81066 , e ) 81022
Output: c
Problem: a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? 
Options: a ) 88 , b ) 45 , c ) 36 , d ) 80 , e ) 12
Output: b
Problem: find the remainder of the division ( 3 ^ 15 ) / 7 . 
Options: a ) 7 , b ) 6 , c ) 15 , d ) 8 , e ) 2
Output: b
Problem: if jimmy drinks 8 ounces of water each time for 8 times a day . how much gallons of water he would have to prepare ahead to drink for 5 days ? ( 1 ounce = 0.0078125 gallon ) 
Options: a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3
Output: d
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
Output: d
Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 16 . what is the value of x ? 
Options: a ) 20 , b ) 40 , c ) 80 , d ) 160 , e ) 320
Output: c
Problem: a man saves 10 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 10 % , he is only able to save rs . 200 per month . what is his monthly salary ? 
Options: a ) rs . 22,000 , b ) rs . 21,000 , c ) rs . 20,000 , d ) rs . 23,000 , e ) rs . 24,000
Output: c
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
Output: b
Problem: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 2 type b widgets , and the weight of 3 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ? 
Options: a ) 1 : 2 , b ) 3 : 4 , c ) 5 : 6 , d ) 7 : 8 , e ) 9 : 10
Output: e
Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6900 ? 
Options: a ) s . 4991 , b ) s . 5991 , c ) s . 6001 , d ) s . 6991 , e ) s . 7391
Output: e
Problem: the sum of the ages 4 members of a family 5 years ago was 94 . today , when the daughter has been married off and replaced by a daughter - in - law , the sum of their ages is 100 . assuming that there has been no other change in the family structure and all members are alive , what is the difference in the ages of daughter and daughter - in - law ? 
Options: a ) 22 , b ) 11 , c ) 25 , d ) 14 , e ) 16
Output: d
Problem: dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 8 is the same as dividing by what number ? 
Options: a ) 31 ⁄ 5 , b ) 16 ⁄ 5 , c ) 20 ⁄ 9 , d ) 9 ⁄ 20 , e ) 5 ⁄ 3
Output: e
Problem: let the number which when multiplied by 16 is increased by 375 . 
Options: a ) 14 , b ) 20 , c ) 26 , d ) 25 , e ) 30
Output: d
Problem: of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 125 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? 
Options: a ) 280 , b ) 400 , c ) 540 , d ) 625 , e ) 840
Output: d
Problem: the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 4 | + 3 is equal to : 
Options: a ) – 7 , b ) 7 , c ) 20 , d ) 12 , e ) 14
Output: c
Problem: how many odd prime numbers are there less than 150 ? 
Options: a ) 24 , b ) 34 , c ) 44 , d ) 54 , e ) 64
Output: b
Problem: if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 5 , what is the value of k ? 
Options: a ) 65 , b ) 79 , c ) 68 , d ) 87 , e ) 90
Output: a
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 v is 
Options: a ) 74 , b ) v = 75 , c ) v = 175 , d ) v = 680 , e ) 690
Output: b
Problem: a mixture contains milk and water in the ratio 3 : 2 . on adding 10 litters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ? 
Options: a ) 10 , b ) 30 , c ) 50 , d ) 20 , e ) 30
Output: d
Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 2 . if p is less than – 2 , what is the value of p ? 
Options: a ) – 18 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14
Output: b
Problem: find the principle on a certain sum of money at 7 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? 
Options: a ) 939.6 , b ) 958.9 , c ) 927.78 , d ) 926.82 , e ) 902.1
Output: b
Problem: when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.16 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 50 , d ) 25 , e ) 12
Output: c
Problem: the average of first 9 odd numbers is ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: e
Problem: a ’ s speed is 20 / 15 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 / 17 , b ) 3 / 17 , c ) 1 / 10 , d ) 5 / 20 , e ) 3 / 10
Output: d
Problem: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ? 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 100 , e ) 45
Output: e
Problem: if 75 percent of 600 is 50 percent of x , then x = ? 
Options: a ) 800 , b ) 900 , c ) 1000 , d ) 1100 , e ) 1200
Output: b
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
Output: b
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
Output: a
Problem: a certain ball team has an equal number of right - and left - handed players . on a certain day , one - third of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ? 
Options: a ) 1 / 3 , b ) 5 / 1 , c ) 5 / 7 , d ) 7 / 5 , e ) 3 / 2
Output: b
Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? 
Options: a ) a . 138 , b ) b . 50 , c ) c . 48 , d ) d . 46 , e ) e . 44
Output: a
Problem: a meal cost $ 33.50 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
Output: d
Problem: the average age of applicants for a new job is 10 , 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
Output: c
Problem: the two lines y = x and x = - 6 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ? 
Options: a ) 16 , b ) 3 √ 2 , c ) 8 , d ) 2 √ 2 , e ) ( √ 2 ) / 3
Output: b
Problem: how much is 85 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 22 , b ) 14 , c ) 88 , d ) 12 , e ) 66
Output: b
Problem: what is the sum of all remainders obtained when the first 130 natural numbers are divided by 9 ? 
Options: a ) 397 , b ) 401 , c ) 403 , d ) 412 , e ) 399
Output: d
Problem: each week , harry is paid x dollars per hour for the first 18 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 34 , b ) 36 , c ) 37 , d ) 38 , e ) 39
Output: a
Problem: 1504 x 1504 = ? 
Options: a ) 2262016 , b ) 2250000 , c ) 12000 , d ) 2262000 , e ) 2250016
Output: a
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
Output: b
Problem: what is the least value of x . so that 21 x 57 is divisible by 3 . 
Options: a ) 2 , b ) 0 , c ) 1 , d ) 3 , e ) 4
Output: b
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
Output: d
Problem: if the number 992 , 132,24 x is divisible by 11 , what must be the value of x ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 0
Output: e
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
Output: e
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
Output: d
Problem: what is the probability of rolling a total of 5 with a single roll of two fair 6 - sided dice , each with the distinct numbers 1 through 6 on each side ? 
Options: a ) 1 / 12 , b ) 1 / 6 , c ) 2 / 7 , d ) 1 / 3 , e ) 1 / 9
Output: e
Problem: if the price of a certain computer increased 30 percent from y dollars to 351 dollars , then 2 y = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700
Output: a
Problem: dacid obtained 91 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? 
Options: a ) 29 , b ) 78 , c ) 39 , d ) 37 , e ) 75
Output: b
Problem: how much water must be added to 52 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? 
Options: a ) 10 litres , b ) 13 litres , c ) 15 litres , d ) 18 litres , e ) none of these
Output: b
Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 80 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? 
Options: a ) 40 , b ) 80 , c ) 70 , d ) 60 , e ) 50
Output: a
Problem: if the price of a certain computer increased 30 percent from x dollars to 351 dollars , then 2 x = 
Options: a ) 540 , b ) 570 , c ) 619 , d ) 649 , e ) 700
Output: a
Problem: compute all real solutions to 16 x + 4 x + 1 - 96 = 0 
Options: a ) 3 / 2 , b ) 3 / 3 , c ) 2 / 4 , d ) 4 / 4 , e ) 4 / 5
Output: a
Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.2 kg . the weight of the new student is 
Options: a ) 4 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) none of these
Output: a
Problem: the average age of an adult class is 40 years . 8 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? 
Options: a ) 8 , b ) 12 , c ) 15 , d ) 17 , e ) 18
Output: a
Problem: what is the remainder when 1014 * 1047 * 1050 * 1053 is divided by 33 ? 
Options: a ) 3 , b ) 6 , c ) 30 , d ) 21 , e ) 18
Output: b
Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 2880 ? 
Options: a ) 8100 , b ) 3388 , c ) 7767 , d ) 2009 , e ) 3645
Output: e
Problem: if 42.30 = k ( 14 + m / 50 ) , where k and m are positive integers and m < 50 , then what is the value of k + m ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: c
Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 5 years ? 
Options: a ) 3277 , b ) 2977 , c ) 9492 , d ) 6077 , e ) 17112
Output: c
Problem: there are 16 bees in the hive , then 5 more fly . how many bees are there in all ? 
Options: a ) 20 , b ) 33 , c ) 12 , d ) 17 , e ) 25
Output: a
Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 7 , x ^ 4 + ( 1 / x ^ 4 ) = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 47
Output: e
Problem: if x < y < z and y - x > 1 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ? 
Options: a ) 6 , b ) 3 , c ) 8 , d ) 9 , e ) 10
Output: b
Problem: for integers x , y , and z , if ( 3 ^ x ) ( 4 ^ y ) ( 5 ^ z ) = 13107 , 200000 and x + y + z = 16 , what is the value of xy / z ? 
Options: a ) undefined , b ) 0 , c ) 3 , d ) 5 , e ) 7
Output: b
Problem: find large number from below question the difference of two numbers is 1015 . on dividing the larger number by the smaller , we get 9 as quotient and the 15 as remainder 
Options: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1140 , e ) 1635
Output: d
Problem: how much is 80 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 22 , b ) 77 , c ) 15 , d ) 12 , e ) 88
Output: d
Problem: the average age of 22 students in a group is 12 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ? 
Options: a ) 31 , b ) 36 , c ) 35 , d ) 53 , e ) 57
Output: c
Problem: a student got twice as many sums wrong as he got right . if he attempted 54 sums in all , how many did he solve correctly ? 
Options: a ) 12 , b ) 16 , c ) 18 , d ) 24 , e ) 26
Output: c
Problem: a certain store sells all maps at one price and all books at another price . on monday the store sold 12 maps and 10 books for a total of $ 38.00 , and on tuesday the store sold 12 maps and 9 books for a total of $ 30.00 . at this store , how much less does a map sell for than a book ? 
Options: a ) $ 0.25 , b ) $ 0.50 , c ) $ 0.75 , d ) $ 1.00 , e ) $ 4.5
Output: e
Problem: if 15 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 60
Output: e
Problem: evaluate : 60 - 12 ÷ 4 × 2 = 
Options: a ) a ) 45 , b ) b ) 54 , c ) c ) 63 , d ) d ) 72 , e ) e ) 81
Output: b
Problem: if ( a + b ) = 5 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ? 
Options: a ) 16 . , b ) 8 . , c ) 7 . , d ) 2 . , e ) - 1 .
Output: e
Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 62000 ? 
Options: a ) 81000 , b ) 78468.75 , c ) 81008 , d ) 81066 , e ) 81022
Output: b
Problem: the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 5 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: e
Problem: if 14 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 56
Output: e
Problem: the instructions state that cheryl needs 5 / 9 square yards of one type of material and 1 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 8 / 24 square yards left that she did not use . what is the total amount of square yards of material cheryl used ? 
Options: a ) 1 / 12 , b ) 1 / 9 , c ) 2 / 3 , d ) 5 / 9 , e ) 2 1 / 9
Output: d
Problem: two persons raj and ramu started working for a company in similar jobs on january 1 , 1991 . raj ' s initial monthly salary was rs 400 , which increases by rs 40 after every year . ramu ' s initial monthly salary was rs 500 which increases by rs 20 after every 6 months . if these arrangements continue till december 31 , 200 . find the total salary they received during that period . 
Options: a ) rs 108000 , b ) rs 144000 , c ) rs 132000 , d ) rs 152400 , e ) none of these
Output: d
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
Output: b
Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 400 when the rate to profit rises from 5 to 7 percent . find the capital of b ? 
Options: a ) 3999 , b ) 7799 , c ) 2500 , d ) 5000 , e ) 2912
Output: d
Problem: what is the difference between the place values of two 1 ' s in the numeral 135.21 
Options: a ) 99.999 , b ) 100.2 , c ) 134 , d ) 99.99 , e ) 99.9
Output: d
Problem: | x + 3 | – | 4 - x | = | 9 + x | how many solutions will this equation have ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: b
Problem: a certain number when divided by 39 leaves a remainder 19 , what is the remainder when the same number is divided by 13 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 4
Output: d
Problem: how many integers between 324,700 and 387,600 have tens digit 1 and units digit 3 ? 
Options: a ) 438 , b ) 629 , c ) 780 , d ) 879 , e ) 924
Output: b
Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture . 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Output: a
Problem: 8.008 / 2.002 
Options: a ) 0.004 , b ) 0.04 , c ) 4 , d ) 40 , e ) 400
Output: c
Problem: approximately how many revolutions will be made by a car tire with a 15 - inch diameter if the car travels 1 ⁄ 2 mile ? 
Options: a ) 669 , b ) 660 , c ) 360 , d ) 720 , e ) 1,440
Output: a
Problem: the difference between the place values of 6 and 1 in the number 527631 is 
Options: a ) 596 , b ) 587 , c ) 533 , d ) 568 , e ) 599
Output: e
Problem: how many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 100
Output: e
Problem: in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( − 8 , − 6 ) ? 
Options: a ) 4 , b ) 2 , c ) 0 , d ) − 2 , e ) − 4
Output: a
Problem: 4.509 / 10.02 = 
Options: a ) 0.45 , b ) 0.3505 , c ) 0.3509 , d ) 0.351 , e ) 0.3527
Output: a
Problem: a batsman scored 120 runs which included 5 boundaries and 8 sixes . what % of his total score did he make by running between the wickets 
Options: a ) 43.33 % , b ) 50 % , c ) 65 % , d ) 70 % , e ) 75 %
Output: a
Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ? 
Options: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: a
Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 9 brown mice in the experiment , how many mice in total are in the experiment ? 
Options: a ) 39 , b ) 33 , c ) 27 , d ) 21 , e ) 10
Output: c
Problem: in the coordinate plane , points ( x , 5 ) and ( 9 , y ) are on line k . if line k passes through the origin and has slope 5 / 9 , then x - y = 
Options: a ) 4 , b ) 6 , c ) 5 , d ) 8 , e ) 7
Output: a
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 %
Output: c
Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 31500 , d ) 34000 , e ) none of these
Output: c
Problem: real - estate salesman z is selling a house at a 20 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 20 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 20 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ? 
Options: a ) 29 / 32 , b ) 28 / 31 , c ) 30 / 31 , d ) 40 / 41 , e ) 34 / 15
Output: a
Problem: evaluate : 2344 - 12 * 3 * 2 = ? 
Options: a ) 2337 , b ) 1227 , c ) 3327 , d ) 5457 , e ) 7677
Output: a
Problem: if pintu is coded as 79523 in a certain code language , how would you code dumbo in the same language ? 
Options: a ) 43426 , b ) 14236 , c ) 13436 , d ) 14263 , e ) 15263
Output: a
Problem: what is the smallest no . which must be added to 532869 so as to obtain a sum which is divisible by 9 ? 
Options: a ) 9 , b ) 2 , c ) 1 , d ) 3 , e ) 6
Output: d
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
Output: a
Problem: you and your friend spent a total of $ 15 for lunch . your friend spent $ 5 more than you . how much did your friend spend on their lunch ? 
Options: a ) $ 9 , b ) $ 3 , c ) $ 4 , d ) $ 6 , e ) $ 10
Output: e
Problem: jill has 35 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? 
Options: a ) 3 , b ) 60 , c ) 9 , d ) 12 , e ) 14
Output: b
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 x percent of all the people in smithtown are left - handed women ? 
Options: a ) 50 % , b ) 40 % , c ) 25 % , d ) 20 % , e ) 10 %
Output: c
Problem: evaluate combination 98 c 96 = 98 ! / ( 96 ) ! ( 2 ) ! 
Options: a ) 1617 , b ) 4753 , c ) 1417 , d ) 4353 , e ) none of these
Output: b
Problem: in a forest 150 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 20 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 ) 6,000 , c ) 1,250 , d ) 1,500 , e ) 2,500
Output: b
Problem: if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 34 , 26 , 36 , 33 and 35 ? 
Options: a ) 33 , b ) 28 , c ) 27 , d ) 24 , e ) 23
Output: b
Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 22050 / - in 3 years at the same rate of interest . find the rate percentage ? 
Options: a ) 5 % , b ) 7 % , c ) 9 % , d ) 11 % , e ) 25 %
Output: e
Problem: a university cafeteria offers 4 flavors of pizza - pepperoni , chicken , hawaiian and vegetarian . if a customer has an option ( but not the obligation ) to add extra cheese , mushrooms or both to any kind of pizza , how many different pizza varieties are available ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 32
Output: d
Problem: if the average of 12 x and 8 y is greater than 200 , and x is twice y , what is the least integer value of x ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 25 , e ) 35
Output: d
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
Output: e
Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units x digit of ( a + 2 ) ^ 2 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) c . 14
Output: a
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
Output: c
Problem: how many 4 - digit numbers that do not contain the digits 2 , 3 , 4 , 5 , 6 , or 7 are there ? 
Options: a ) 168 , b ) 176 , c ) 184 , d ) 192 , e ) 200
Output: d
Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 18522 / - in 3 years at the same rate of interest . find the rate percentage ? 
Options: a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %
Output: a
Problem: a sum of rs . 427 is to be divided among a , b and c in such a way that 3 times a ’ s share , 4 times b ’ s share and 7 times c ’ s share are all equal . the share of c is ? 
Options: a ) 23 , b ) 87 , c ) 84 , d ) 26 , e ) 19
Output: c
Problem: solve the equation 2 – x = 2 b – 2 ax , where a and b are real parameters . find for which values of a the equation has for solution a natural number , if b = 7 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: b
Problem: a no . when divided by 221 gives a remainder 43 , what remainder will beobtained by dividing the same number 19 ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 11 , e ) 15
Output: c
Problem: according to the directions on a can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 4 cans of water to make orange juice . how many 12 ounce cans of concentrate are required to prepare 120 6 - ounce servings of orange juice ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: b
Problem: in a group of 800 people , 1 / 5 play at least one instrument , 32 play two or more . what is the probability that one student play exactly one instrument ? 
Options: a ) 2 / 125 , b ) 4 / 25 , c ) c ) 2 / 25 , d ) 3 / 25 , e ) 1 / 5
Output: b
Problem: if ( 10 ^ 4 * 3.456789 ) ^ 11 is written as a single term , how many digits would be to the right of the decimal place ? 
Options: a ) 12 , b ) 18 , c ) 22 , d ) 28 , e ) 36
Output: c
Problem: if 15 students in a class average 80 % on an english exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? 
Options: a ) 83 % , b ) 83 1 ⁄ 2 % , c ) 84 % , d ) 85 % , e ) 86 2 ⁄ 3 %
Output: c
Problem: what is the sum between the place values of two 3 ' s in the numeral 63130 
Options: a ) 3111 , b ) 300 , c ) 3029 , d ) 3030 , e ) 3003
Output: d
Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: b
Problem: when n is divided by 24 , the remainder is 4 . what is the remainder when 4 n is divided by 8 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 0 , e ) 7
Output: d
Problem: the average age of 25 students in a class is 12 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? 
Options: a ) 40 , b ) 35 , c ) 29 , d ) 38 , e ) 42
Output: d
Problem: 0.012 x 0.5 = ? 
Options: a ) 0.0006 , b ) 0.06 , c ) 0.6 , d ) 0.006 , e ) 6.0
Output: d
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 / 5 , 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 / 2 , d ) 4 / 9 , e ) 2 / 3
Output: c
Problem: a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 38 now , the son age 5 years back was : 
Options: a ) 14 , b ) 19 , c ) 33 , d ) 38 , e ) 56
Output: a
Problem: 653 ã — 1001 = ? 
Options: a ) 649011 , b ) 540041 , c ) 654321 , d ) 653001 , e ) 643001
Output: d
Problem: a case contains c cartons . each carton contains b boxes , and each box contains 200 paper clips . how many paper clips are contained in 2 cases ? 
Options: a ) 200 bc , b ) 200 b / c , c ) 400 bc , d ) 400 b / c , e ) 400 / bc
Output: c
Problem: patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils . the cost of 60 pencils is how many times the selling price of 60 pencils ? 
Options: a ) 0.75 , b ) 0.8 , c ) 1 , d ) 1.33 , e ) 1.75
Output: d
Problem: 108 ã — 108 + 92 ã — 92 = ? 
Options: a ) 20120 , b ) 11500 , c ) 20128 , d ) 20660 , e ) 20228
Output: c
Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 50 % more recliners . what is the percentage increase of the gross ? 
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 50 %
Output: c
Problem: what is the total number of positive integers that are less than 500 and that have no positive factor in common with 500 other than 1 ? 
Options: a ) 50 , b ) 100 , c ) 200 , d ) 300 , e ) 400
Output: c
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
Output: b