niryuu/sni-each-converted huggingface dataset:
Problem: mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 19 of them answered question 1 correctly . if 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? 
Options: a ) 3 , b ) 9 , c ) 11 , d ) 17 , e ) 19
Output: e
Problem: a king has 1000 bottles of wine , a queen wants to kill the king and sends a servant to poison the wine . fortunately the king ' s guard ' s catch d servant after he has only poisoned one bottle and the guard do n ' t know which bottle is poisoned . furthermore it takes one month to have an effect , and there is an anniversary party coming up in 5 weeks time ! the king decides he will get some of the prisoners in his vast dungeons to drink the wine . how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time ? 
Options: a ) 1 , b ) 499 , c ) 500 , d ) 999 , e ) 10
Output: e
Problem: if 60 % of a number is equal to one half of another number , what is the ratio of first number to the second number ? 
Options: a ) 4 : 5 , b ) 5 : 6 , c ) 6 : 5 , d ) 5 : 4 , e ) 2 : 5
Output: b
Problem: if ( log 5 5 ) ( log 4 9 ) ( log 3 2 ) is equal to 
Options: a ) 1 , b ) 3 / 2 , c ) 2 , d ) 5 , e ) 7
Output: a
Problem: how many terminating zeroes does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
Output: c
Problem: how many of the positive factors of 33 are not factors of 45 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: c
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: e
Problem: in a school 10 % of the boys are same in number as 1 / 2 th of the girls . what is the ratio of boys to the girls in the school ? 
Options: a ) 5 : 1 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5
Output: a
Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 587.75 . how many boxes of plain cookies did she sell ? 
Options: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 787
Output: e
Problem: a certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 340 , b ) 380 , c ) 472 , d ) 528 , e ) 630
Output: d
Problem: the l . c . m . of 2 numbers is 54 . the numbers are in the ratio 2 : 3 . find their sum ? 
Options: a ) 36 , b ) 40 , c ) 45 , d ) 32 , e ) 56
Output: c
Problem: ketchup , mustard and mayo bottles at a hot dog stand are in the ratio of 3 : 3 : 2 . if there are 6 ketchup bottles , the number of mayo bottles at the hot dog stand is : 
Options: a ) 12 , b ) 6 , c ) 3 , d ) 1 , e ) 4
Output: e
Problem: a precious stone weighing 35 grams worth rs . 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5 . if the price varies as the square of the weight then find the loss incurred . 
Options: a ) rs . 5750 , b ) rs . 6000 , c ) rs . 5500 , d ) rs . 5000 , e ) rs . 7000
Output: d
Problem: a baseball team played 10 games and won 5 . what is the ratio of the number of games played to the number of losses ? 
Options: a ) 5 : 1 , b ) 1 : 1 , c ) 20 : 4 , d ) 10 : 3 , e ) 2 : 1
Output: e
Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio q of revenue from car sales in 1996 to revenue from truck sales in 1996 ? 
Options: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3
Output: a
Problem: kelly and chris are moving into a new city . both of them love books and thus packed several boxes with books . if chris packed 60 % of the total number of boxes , what was the ratio of the number of boxes kelly packed to the number of boxes chris packed ? 
Options: a ) 4 / 3 , b ) 2 / 3 , c ) 1 / 3 , d ) 3 / 4 , e ) 1 / 4
Output: b
Problem: if both 5 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? 
Options: a ) 49 , b ) 75 , c ) 150 , d ) 225 , e ) 343
Output: b
Problem: the triplicate ratio of 1 : 6 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 216
Output: e
Problem: what is the units digit of 32 ! + 50 ! + 2 ! + 4 ! ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: d
Problem: in a class , 30 % of the students speaks truth , 20 % speaks lie and 10 % speaks both . if a student is selected at random , what is the probability that he has speak truth or lie ? 
Options: a ) 1 / 4 , b ) 2 / 3 , c ) 3 / 5 , d ) 2 / 5 , e ) 2 / 7
Output: d
Problem: there are 202 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? 
Options: a ) 93 , b ) 94 , c ) 92 , d ) 96 , e ) 95
Output: e
Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? 
Options: a ) 7 / 15 , b ) 3 / 10 , c ) 3 / 5 , d ) 2 / 5 , e ) 3 / 4
Output: a
Problem: 3 containers a , b and c are having mixtures of milk and water in the ratio of 1 : 5 and 3 : 5 and 5 : 7 respectively . if the capacities of the containers are in the ratio of all the 3 containers are in the ratio 5 : 4 : 5 , find the ratio of milk to water , if the mixtures of all the 3 containers are mixed together . 
Options: a ) 53 : 115 , b ) 55 : 115 , c ) 115 : 55 , d ) 5 : 115 , e ) 115 : 53
Output: a
Problem: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability t this college graduate has a graduate degree ? 
Options: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43
Output: d
Problem: if 0.75 of a number is equal to 0.025 of another number , the ratio of the numbers is : 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 1 : 30 , d ) 20 : 3 , e ) 30 : 7
Output: c
Problem: the number of stamps that p and q had were in the ratio of 9 : 2 respectively . after p gave q 33 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 6 : 5 . as a result of the gift , p had how many more stamps than q ? 
Options: a ) 11 , b ) 33 , c ) 45 , d ) 67 , e ) 80
Output: a
Problem: there are 4 red books and 4 blue books on a shelf . if 2 books are selected at random from the shelf , what is the probability that both books selected are red books ? 
Options: a ) 2 / 7 , b ) 3 / 7 , c ) 3 / 14 , d ) 5 / 28 , e ) 9 / 28
Output: c
Problem: solution a is 20 % salt and solution b is 60 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? 
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 1 : 3
Output: e
Problem: two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer . 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15
Output: a
Problem: the l . c . m . of two numbers is 60 . the numbers are in the ratio 2 : 3 . then sum of the number is : 
Options: a ) 28 , b ) 32 , c ) 40 , d ) 53 , e ) 50
Output: e
Problem: 210 students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? 
Options: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75
Output: b
Problem: the simple form of the ratio 2 / 3 : 2 / 5 is 
Options: a ) 5 : 7 , b ) 5 : 2 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 4
Output: d
Problem: if log 1087.5 = 6.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 30 , b ) 28 , c ) 80 , d ) 26 , e ) 25
Output: c
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 3 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? 
Options: a ) 24 , b ) 28 , c ) 32 , d ) 56 , e ) 58
Output: a
Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5 , what is the ratio of apples to cucumbers ? 
Options: a ) 4 : 15 , b ) 1 : 3 , c ) 2 : 5 , d ) 4 : 5 , e ) 7 : 6
Output: a
Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 210 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280
Output: a
Problem: two numbers are in the ratio of 5 : 9 . if 25 be subtracted from each , they are in the ratio of 35 : 59 . find the numbers ? 
Options: a ) 150,170 , b ) 150,270 , c ) 50,270 , d ) 180,270 , e ) 150,290
Output: b
Problem: 90 people are attending a newspaper conference . 45 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? 
Options: a ) 18 , b ) 16 , c ) 12 , d ) 10 , e ) 6
Output: e
Problem: what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Output: e
Problem: the probability that event b occurs is 0.6 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.4 , what is the probability that event a will occur ? 
Options: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55
Output: a
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive r integer factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: local kennel has cats and dogs in the ratio of 2 : 3 . if there are 6 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 24 , b ) 18 , c ) 30 , d ) 15 , e ) 12
Output: b
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 7 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 2 : 3 , b ) 2 : 5 , c ) 3 : 7 , d ) 4 : 9 , e ) 5 : 6
Output: c
Problem: x starts a business with rs . 45000 . y joins in the business after 7 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 18 : 5 , c ) 1 : 5 , d ) 3 : 1 , e ) 1 : 1
Output: b
Problem: sandy is younger than molly by 12 years . if the ratio of their ages is 7 : 9 , how old is sandy ? 
Options: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70
Output: a
Problem: what is the square root of 0.16 
Options: a ) 0.4 , b ) 0.04 , c ) 0.004 , d ) 4 , e ) 1
Output: a
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ? 
Options: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320
Output: c
Problem: 99 ! how many zero ' s ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: c
Problem: in a primary school , the ratio of the number of girls to boys is 5 : 8 . if there are 160 girls , the total number of students in the college is : 
Options: a ) 100 , b ) 250 , c ) 260 , d ) 300 , e ) 350
Output: d
Problem: two numbers are in the ratio of 6 : 8 . if 10 is subtracted from each , the new numbers are in the ratio 16 : 32 . find the smaller number . 
Options: a ) 22 , b ) 12 , c ) 38 , d ) 15 , e ) 17
Output: d
Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 18 households had a both a car and a bike and 44 had a car , how many had bike only ? 
Options: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10
Output: b
Problem: the probability that a can solve the problem is 2 / 3 and b can solve it is 3 / 4 . if both of them attemp the problem , then what is the probability that the problem get solved ? 
Options: a ) 9 / 12 , b ) 10 / 12 , c ) 11 / 12 , d ) 1 , e ) 2
Output: c
Problem: in a group of 80 people , 45 have visited iceland and 33 have visited norway . if 41 people have visited both iceland and norway , how many people have visited neither country ? 
Options: a ) 30 , b ) 31 , c ) 32 , d ) 33 , e ) 34
Output: d
Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: a ) 40 , b ) 60 , c ) 50 , d ) 30 , e ) 70
Output: b
Problem: mangoes , oranges and apples in a fruit shop are in the ratio of 10 : 2 : 3 . if there are 120 mangoes , the number of apples in the shop is : . 
Options: a ) 36 , b ) 42 , c ) 72 , d ) 400 , e ) 56
Output: a
Problem: the marks obtained by polly and sandy are in the ratio 5 : 6 and those obtained by sandy and willy are in the ratio of 3 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? 
Options: a ) 3 : 2 , b ) 5 : 4 , c ) 7 : 6 , d ) 9 : 8 , e ) 11 : 10
Output: b
Problem: in a corporation , 50 percent of the male employees and 40 percent of the female employees are at least 35 years old . if 42 percent of all the employees are at least 35 years old , what fraction of the employees in the corporation are females ? 
Options: a ) 3 / 5 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Output: d
Problem: janet invited her boy and girl friends to her party at the ratio of 3 : 7 . if 30 % of the boys and 70 % of the girls will be coming for the party from texas , how many janet invited friends will be coming from texas . 
Options: a ) 62 % , b ) 52 % , c ) 57 % , d ) 56 % , e ) 58 %
Output: e
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 25 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Output: b
Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 10 : 11 , e ) 7 : 9
Output: d
Problem: in a class of 150 students 55 speak english ; 85 speak telugu and 30 speak neither english nor telugu how many speak both english and telugu ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Output: b
Problem: the compound ratio of 5 : 6 , 3 : 4 and 4 : 5 ? 
Options: a ) 1 : 1 , b ) 1 : 87 , c ) 1 : 6 , d ) 1 : 9 , e ) 1 : 2
Output: e
Problem: there are 97 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? 
Options: a ) 29 , b ) 49 , c ) 39 , d ) 59 , e ) 69
Output: c
Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 270 , c ) 140 , d ) 165 , e ) 315
Output: b
Problem: x starts a business with rs . 45000 . y joins in the business after 8 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 9 : 2 , c ) 1 : 3 , d ) 3 : 1 , e ) 1 : 1
Output: b
Problem: out of 450 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 75 , b ) 100 , c ) 125 , d ) 150 , e ) none of these
Output: b
Problem: a bag contains 7 red , 5 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 2 / 15 , b ) 2 / 21 , c ) 7 / 40 , d ) 3 / 29 , e ) 4 / 27
Output: c
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 135 grams of water ? 
Options: a ) 120 , b ) 116 , c ) 112 , d ) 108 , e ) 104
Output: a
Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 16 households had a both a car and a bike and 44 had a car , how many had bike only ? 
Options: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10
Output: b
Problem: in what ratio must rice of rs . 30 per kg be mixed with rice of rs . 56 per kg so that cost of mixture is rs . 35 per kg ? 
Options: a ) 28 : 15 , b ) 6 : 7 , c ) 7 : 6 , d ) 5 : 21 , e ) 21 : 5
Output: e
Problem: what number has a 5 : 1 ratio to the number 13 ? 
Options: a ) 22 , b ) 50 , c ) 88 , d ) 65 , e ) 12
Output: d
Problem: on a certain farm the ratio of horses to cows is 5 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 17 : 7 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70
Output: c
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 18 . the larger of the two numbers is : 
Options: a ) 276 , b ) 414 , c ) 322 , d ) 345 , e ) 355
Output: b
Problem: in a group of 150 readers who read science fiction or literacy works or both , 120 read science fiction and 90 read literacy works . how many read both science fiction and literacy works ? 
Options: a ) 70 , b ) 60 , c ) 90 , d ) 100 , e ) 110
Output: b
Problem: in a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ? 
Options: a ) 27 , b ) 36 , c ) 45 , d ) 72 , e ) 108
Output: e
Problem: what is the square root of 6,561 ? 
Options: a ) 18 , b ) 9 , c ) 45 , d ) 62 , e ) 81
Output: e
Problem: if the numbers 1 to 95 are written on 95 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? 
Options: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 95 , d ) 1 , e ) 2
Output: c
Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 2 : 1 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? 
Options: a ) 2 / 3 , b ) 4 / 5 , c ) 6 / 2 , d ) 5 / 2 , e ) 4 / 9
Output: e
Problem: in a chess competition involving some men and women , every player needs to play exactly one game with every other player . it was found that in 45 games , both the players were women and in 190 games , both players were men . what is the number of games in which one person was a man and other person was a woman ? 
Options: a ) 40 , b ) 120 , c ) 180 , d ) 200 , e ) 220
Output: d
Problem: if v and d are both integers , v > d , and - 3 v > 19 , then the largest value of d would be ? 
Options: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10
Output: d
Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 26 have long fur , 22 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? 
Options: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6
Output: c
Problem: if shares of two persons in profits are rs . 600 and rs . 1000 then ratio of their capitals is 
Options: a ) 3 : 5 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2
Output: a
Problem: income and expenditure of a person are in the ratio 7 : 6 . if the income of the person is rs . 21000 , then find his savings ? 
Options: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 3639 , d ) rs . 3000 , e ) rs . 3602
Output: d
Problem: the sub - duplicate ratio of 16 : 64 is 
Options: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 1 : 4 , e ) 2 : 4
Output: e
Problem: find the number of zeroes in 58 ! ( 58 factorial ) 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: b
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 1 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 4 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
Output: b
Problem: a box contains 4 black , 3 red and 6 green marbles . 2 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? 
Options: a ) 24 / 78 , b ) 24 / 709 , c ) 24 / 76 , d ) 24 / 71 , e ) 24 / 72
Output: a
Problem: the ratio of buses to cars on river road is 1 to 10 . if there are 90 fewer buses than cars on river road , how many cars are on river road ? 
Options: a ) 50 , b ) 40 , c ) 100 , d ) 30 , e ) 20
Output: c
Problem: if n is the greatest positive integer for which 2 ^ n is a factor of 8 ! , then n = ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: c
Problem: in a group of cheerleaders , the group made of 10 males and 16 females . every cheerleader gets to choose between a coke or malt . the number of those that choose malt is double the number that chose coke , if all the 6 males choose malt , how many females chose malt ? 
Options: a ) 30 , b ) 5 , c ) 8 , d ) 20 , e ) 10
Output: c
Problem: if 63 percent of a class answered the first question on a certain test correctly , 49 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? 
Options: a ) 22 % , b ) 24 % , c ) 26 % , d ) 28 % , e ) 32 %
Output: e
Problem: the ratio of 2 numbers is 5 : 2 and their h . c . f . is 20 . their l . c . m . is ? 
Options: a ) 400 , b ) 300 , c ) 200 , d ) 100 , e ) 40
Output: c
Problem: the ratio of 2 numbers is 3 : 7 and their h . c . f . is 10 . their l . c . m . is ? 
Options: a ) 220 , b ) 210 , c ) 252 , d ) 236 , e ) 260
Output: b
Problem: a container holding 15 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? 
Options: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 4 : 7 , e ) 7 : 16
Output: e
Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 12 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? 
Options: a ) 6 , b ) 16 , c ) 18 , d ) 30 , e ) 174
Output: c
Problem: what is the square root of 168,921 ? 
Options: a ) 476 , b ) 389 , c ) 497 , d ) 411 , e ) 524
Output: d
Problem: the ratio of boarders to day students at a school was originally 2 to 5 . however , after a number of new boarders join the initial 120 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? 
Options: a ) 30 , b ) 50 , c ) 70 , d ) 80 , e ) 90
Output: a
Problem: in a group of houses , 40 had dogs , 30 had cats and 10 houses having both dogs and cats . what is the number of houses ? 
Options: a ) 30 , b ) 60 , c ) 40 , d ) 45 , e ) 50
Output: b
Problem: in a class , 7 students like to play basketball and 5 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? 
Options: a ) 12 , b ) 15 , c ) 16 , d ) 9 , e ) 22
Output: d
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 42 years . what is deepak present age . 
Options: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 27
Output: e
Problem: mrs . evans gave a test to her freshmen economics class , which has 30 students enrolled and 25 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? 
Options: a ) 30 , b ) 28 , c ) 26 , d ) 22 , e ) 19
Output: d
Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 80 percent of the republicans and 25 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? 
Options: a ) 2 % , b ) 5 % , c ) 16 % , d ) 20 % , e ) 25 %
Output: c
Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 4 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: ['a ) 80', 'b ) 70', 'c ) 60', 'd ) 40', 'e ) 50']
Output: c
Problem: a farmer with 1350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? 
Options: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450
Output: e
Problem: in a class of 120 students , 25 did not opt for math . 10 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 63 , b ) 95 , c ) 77 , d ) 87 , e ) 48
Output: d
Problem: how many of the positive factors of 36 are not factors of 72 
Options: a ) 0 , b ) 3 , c ) 4 , d ) 5 , e ) 1
Output: a
Problem: in a sports club with 30 members , 16 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: a
Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 462
Output: e
Problem: two numbers are in the ratio of 2 : 3 . if 20 be subtracted from each , they are in the ratio of 10 : 17 . find the numbers ? 
Options: a ) 70,105 , b ) 60,88 , c ) 80,120 , d ) 60,84 , e ) 60,81
Output: a
Problem: what is the greatest positive integer e such that 3 ^ e is a factor of 9 ^ 10 ? 
Options: a ) e = 5 , b ) e = 9 , c ) e = 10 , d ) e = 20 , e ) 30
Output: d
Problem: set a consists of the integers from 4 to 17 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 12
Output: e
Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 48 people were made to stand in a column , how many columns could be formed ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: a
Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 686 , krishan has ? 
Options: a ) s . 2890 , b ) s . 4046 , c ) s . 1190 , d ) s . 1620 , e ) s . 2680
Output: b
Problem: in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 12 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ? 
Options: a ) 15 , b ) 45 , c ) 30 , d ) 45 , e ) 60
Output: b
Problem: how many prime numbers between 1 and 100 are factors of 143 ? 
Options: a ) 6 , b ) 5 , c ) 4 , d ) 2 , e ) 3
Output: d
Problem: the number of stamps that kaye and alberto had were in the ration of 6 : 4 respectively . after kaye gave alberto 5 of her stamps , the ration of the number of kaye had to the number of alberto had was 8 : 6 . as a result of the gift , kaye had how many more stamps than alberto ? 
Options: a ) 22 , b ) 25 , c ) 15 , d ) 35 , e ) 30
Output: b
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 4 : 3 . the ratio of economy cars to sport utility vehicles is 6 : 5 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 10 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
Output: a
Problem: sachin is younger than rahul by 18 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 24.5 , b ) 63 , c ) 65 , d ) 36 , e ) 24.19
Output: b
Problem: a bag has 9 green balls and 23 pink balls . how many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1 : 1 ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: e
Problem: solution a is 20 % sugar and solution b is 80 % sugar . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % sugar solution ? 
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 7
Output: c
Problem: divide $ 600 among a , b in the ratio 1 : 2 . how many $ that a get ? 
Options: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600
Output: e
Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? 
Options: a ) 1 : 4 , b ) 1 : 5 , c ) 3 : 2 , d ) 1 : 2 , e ) 2 : 5
Output: c
Problem: in a group of 60 people , 35 have visited iceland and 23 have visited norway . if 31 people have visited both iceland and norway , how many people have visited neither country ? 
Options: a ) 30 , b ) 31 , c ) 32 , d ) 33 , e ) 34
Output: d
Problem: if shares of two persons in profits are rs . 400 and rs . 500 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 4 : 5 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2
Output: b
Problem: what is the greatest positive integer w such that 3 ^ w is a factor of 9 ^ 10 ? 
Options: a ) 5 , b ) w = 9 , c ) w = 10 , d ) w = 20 , e ) w = 30
Output: d
Problem: two varieties of steel , a and b , have a ratio of iron to chromium as 5 : 1 and 7 : 2 , respectively . steel c is produced by mixing alloys a and b at a ratio of 3 : 2 . what is the ratio of iron to chromium in c ? 
Options: a ) 17 : 73 , b ) 78 : 14 , c ) 45 : 30 , d ) 73 : 17 , e ) 4 : 9
Output: d
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 144 grams of water ? 
Options: a ) 16 , b ) 72 , c ) 112 , d ) 128 , e ) 142
Output: d
Problem: in a group of 28 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? 
Options: a ) 7 , b ) 6 , c ) 8 , d ) 4 , e ) 3
Output: a
Problem: what is the square root of 169 ? 
Options: a ) 8 , b ) 16 , c ) 13 , d ) 42 , e ) 25
Output: c
Problem: if the ratio of a to b is 7 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? 
Options: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 15
Output: e
Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number d of people surveyed by the company ? 
Options: a ) 46 , b ) 80 , c ) d . 90 , d ) d . 100 , e ) 200
Output: d
Problem: if the numbers 1 to 96 are written on 96 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? 
Options: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 96 , d ) 1 , e ) 2
Output: c
Problem: if w is the set of all the integers between 49 and 76 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 19 , b ) 91 , c ) 41 , d ) 18 , e ) 14
Output: a
Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 12 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 47 / 60 , d ) 1 / 6 , e ) 2 / 15
Output: c
Problem: divide $ 600 among a , b in the ratio 1 : 3 . how many $ that a get ? 
Options: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600
Output: c
Problem: share rs . 6600 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 2200 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1400
Output: a
Problem: find the fraction which has the same ratio to 2 / 13 that 5 / 34 has to 7 / 48 . 
Options: a ) 240 / 1587 , b ) 240 / 1545 , c ) 240 / 1547 , d ) 240 / 1542 , e ) 240 / 1512
Output: c
Problem: nitin ranks 15 th in a class of 47 students . what is rank from the last ? 
Options: a ) 33 , b ) 38 , c ) 32 , d ) 28 , e ) 19
Output: a
Problem: set a consists of the integers from 5 to 10 , inclusive , while set b consists of the integers from 1 to 8 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 10 , c ) 8 , d ) 2 , e ) 4
Output: e
Problem: a person want to give his money of $ 900 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? 
Options: a ) $ 400 , b ) $ 300 , c ) $ 500 , d ) $ 180 , e ) $ 200
Output: b
Problem: an ore contains 25 % of an alloy that has 90 % iron . other than this , in the remaining 75 % of the ore , there is no iron . how many kilograms of the ore are needed to obtain 60 kg of pure iron ? 
Options: a ) 250 kg , b ) 275 kg , c ) 300 kg , d ) 266.66 kg , e ) none
Output: d
Problem: the ratio of two numbers is 2 : 3 and their h . c . f . is 6 . their l . c . m . is 
Options: a ) 48 , b ) 22 , c ) 36 , d ) 27 , e ) 67
Output: c
Problem: the ratio between the number of passengers travelling by i and ii class between the two railway stations is 1 : 50 , whereas the ratio of i and ii class fares between the same stations is 3 : 1 . if on a particular day rs . 1,325 were collected from the passengers travelling between these stations , then what was the amount collected from the ii class passengers ? 
Options: a ) rs . 750 , b ) rs . 1000 , c ) rs . 850 , d ) rs . 1250 , e ) none of these
Output: d
Problem: a group of people participate in some curriculum , 30 of them practice yoga , 20 study cooking , 15 study weaving , 5 of them study cooking only , 8 of them study both the cooking and yoga , 5 of them participate all curriculums . how many people study both cooking and weaving ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: 11 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? 
Options: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 1540
Output: e
Problem: a box contains 6 white , 5 red and 8 white marbles . 5 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? 
Options: a ) 19 / 11628 , b ) 36 / 11628 , c ) 613 / 11628 , d ) 6113 / 11628 , e ) 63 / 11628
Output: e
Problem: a bag contains 8 red , 6 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 26 , d ) 7 / 30 , e ) 3 / 23
Output: d
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 480 kilograms of pears that day , how many kilograms did he sell in the afternoon ? 
Options: a ) 120 , b ) 180 , c ) 240 , d ) 280 , e ) 320
Output: e
Problem: if ryan and smith car ratio is 5 : 8 . ryan bought 6 new car and smith bought 2 new car . now , smith has 18 car . what is their car ratio now ? 
Options: a ) 5 : 4 , b ) 3 : 2 , c ) 8 : 9 , d ) 6 : 5 , e ) 7 : 5
Output: c
Problem: income and expenditure of a person are in the ratio 10 : 7 . if the income of the person is rs . 10000 , then find his savings ? 
Options: a ) 3005 , b ) 3098 , c ) 3300 , d ) 3010 , e ) 3000
Output: e
Problem: two numbers are in the ratio of 1 : 2 . if 8 be added to both , their ratio changes to 3 : 5 . the greater number is 
Options: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36
Output: d
Problem: in a class of 35 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Output: a
Problem: find the compound ratio of ( 3 : 4 ) , ( 4 : 5 ) and ( 1 : 2 ) is 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 10 , d ) 4 : 10 , e ) 3 : 2
Output: c
Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 42 years . what is molly ' s age right now ? 
Options: a ) 24 , b ) 27 , c ) 30 , d ) 33 , e ) 36
Output: b
Problem: the ratio of numbers is 3 : 4 and their h . c . f is 8 . their l . c . m is : 
Options: a ) 12 , b ) 96 , c ) 24 , d ) 48 , e ) 98
Output: b
Problem: pens , pencils and markers in a jenna ' s desk are in the ratio of 2 : 2 : 5 . if there are 10 pens , the number of markers in jenna ' s desk is : 
Options: a ) 30 , b ) 22 , c ) 20 , d ) 25 , e ) 100
Output: d
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 6 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 19 : 2 , b ) 18 : 3 , c ) 29 : 11 , d ) 29 : 5 , e ) 29 : 4
Output: c
Problem: if both 5 ^ 3 and 3 ^ 4 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150
Output: b
Problem: there are 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? 
Options: a ) 3 / 32 , b ) 7 / 64 , c ) 11 / 105 , d ) 15 / 127 , e ) 19 / 134
Output: c
Problem: one year ago , the ratio of roonie ’ s and ronaldo ’ s age was 6 : 7 respectively . 4 years hence , this ratio would become 7 : 8 . how old is ronaldo ? 
Options: a ) 32 , b ) 33 , c ) 34 , d ) 35 , e ) 36
Output: e
Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.30 , what total number of apples and bananas did the customer purchase ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: b
Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Output: c
Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 76 per kg ? 
Options: a ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 5 : 2
Output: e
Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ra ɵ o less than 16 : 21 , is 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 50 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: a
Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 99 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 35 , b ) 40 , c ) 45 , d ) 50 , e ) 55
Output: e
Problem: a group of people participate in some curriculum , 30 of them practice yoga , 25 study cooking , 15 study weaving , 6 of them study cooking only , 8 of them study both the cooking and yoga , 7 of them participate all curriculums . how many people study both cooking and weaving ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: d
Problem: the ratio between the present ages of a and b is 3.5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? 
Options: a ) 14 : 4 , b ) 13 : 0 , c ) 15 : 11 , d ) 13 : 12 , e ) 13 : 17
Output: c
Problem: at the faculty of aerospace engineering , 310 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 430 , b ) 432 , c ) 440 , d ) 442 , e ) 446
Output: a
Problem: there are 12 slate rocks , 17 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? 
Options: a ) 5 / 36 , b ) 7 / 64 , c ) 9 / 83 , d ) 11 / 111 , e ) 13 / 135
Output: d
Problem: if 75 percent of a class answered the first question on a certain test correctly , 70 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? 
Options: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %
Output: e
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: find the number of different prime factors of 12800 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: b
Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 140 , d ) 196 , e ) 315
Output: d
Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 288 . what is their h . c . f . ? 
Options: a ) 18 , b ) 24 , c ) 36 , d ) 42 , e ) 48
Output: b
Problem: the marks obtained by vijay and amith are in the ratio 8 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? 
Options: a ) 12 : 5 , b ) 12 : 1 , c ) 6 : 5 , d ) 12 : 2 , e ) 6 : 3
Output: a
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer t factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: x starts a business with rs . 54000 . y joins in the business after 9 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 8 : 3 , d ) 3 : 5 , e ) 8 : 1
Output: e
Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies x and y . the ratio of p to v in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: e
Problem: the ratio of the incomes of uma and bala is 4 : 3 and the ratio of their expenditure is 3 : 2 . if at the end of the year , each saves $ 5000 then the income of uma is ? 
Options: a ) $ 24000 , b ) $ 23000 , c ) $ 22000 , d ) $ 21000 , e ) $ 20000
Output: e
Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 16 th highest price and the 23 rd lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39
Output: d
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 answer , e ) 95
Output: d
Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 264 . what is their h . c . f . ? 
Options: a ) 18 , b ) 22 , c ) 24 , d ) 28 , e ) 32
Output: b
Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be 
Options: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 180 , e ) none
Output: c
Problem: the probability that event b occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event a will occur ? 
Options: a ) 0.05 , b ) 0.45 , c ) 0.15 , d ) 0.5 , e ) 0.55
Output: b
Problem: find the number of different prime factors of 441 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: b
Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 15 percent of the test takers answered neither question correctly , what percent answered both correctly ? 
Options: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %
Output: d
Problem: divide rs . 32000 in the ratio 3 : 5 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 12000 , 20001
Output: a
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 6000 . their h . c . f is ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 100
Output: e