niryuu/sni-each-converted huggingface dataset:
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 70 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 ) 4 % , c ) 8 % , d ) 10 % , e ) 15 %
Output: b
Problem: if 75 percent of a class answered the first question on a certain test correctly , 35 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: c
Problem: half of the workers in palabras bookstore have read the latest book by j . saramago , and 1 / 6 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 150 workers in the palabras bookstore , how many of them have read both books ? 
Options: a ) 13 , b ) 12 , c ) 9 , d ) 8 , e ) 7
Output: b
Problem: how many factors of 990 are odd numbers greater than 1 ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Output: c
Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 24.58 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 24.1
Output: b
Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 15 of her stamps , the ration of the number of kaye had to the number of alberto had was 4 : 3 . as a result of the gift , kaye had how many more stamps than alberto ? 
Options: a ) 20 , b ) 30 , c ) 70 , d ) 60 , e ) 90
Output: c
Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 40 people were made to stand in a column , how many columns could be formed ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: a
Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 160 girls , the total number of students in the college is 
Options: a ) 2447 , b ) 377 , c ) 667 , d ) 416 , e ) 871
Output: d
Problem: a man invests some money partly in 12 % stock at 132 and partly in 10 % stock at 80 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 11 : 8 , d ) 16 : 15 , e ) none
Output: c
Problem: what is the prime factors ’ number of 36 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c
Problem: a study group consists of 4 english majors , 6 biological sciences majors , and 5 engineers . in how many ways can 3 english majors , 3 biological science majors and 3 engineers selected from the given group ? 
Options: a ) 987 ways , b ) 346 ways , c ) 600 ways , d ) 200 ways , e ) 134 ways
Output: d
Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.20 . the probability that neither a nor b occur is _________ 
Options: a ) 0.45 , b ) 0.4 , c ) 0.55 , d ) 0.05 , e ) 0.6
Output: c
Problem: the hcf of two numbers is 40 and the other two factors of their lcm are 11 and 12 . what is the largest number . 
Options: a ) 462 , b ) 450 , c ) 488 , d ) 480 , e ) 555
Output: d
Problem: if there are 10 apples and 20 oranges , what is the ratio of apples to oranges ? 
Options: a ) 10 : 20 , b ) 2 : 4 , c ) 1 : 2 , d ) 4 : 8 , e ) it can not be determined from the information given
Output: c
Problem: the ratio of the number of females to males at a party was 1 : 2 but when 4 females and 4 males left , the ratio became 1 : 3 . how many people were at the party originally ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Output: c
Problem: a shipment of 230 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? 
Options: a ) 1 / 250 , b ) 1 / 84 , c ) 1 / 11 , d ) 9 / 68 , e ) 1 / 3
Output: d
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 16000 , then find his savings ? 
Options: a ) 3600 , b ) 3607 , c ) 3200 , d ) 3602 , e ) 3603
Output: c
Problem: if 5 and 8 are factors of 60 n , what is the minimum value of n ? 
Options: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 56
Output: a
Problem: how many even integers from 1 to 50 ( both inclusive ) have even number of factors ? 
Options: a ) 3 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: if 75 % of a boys answered the first question on a certain test correctly , 55 % answered the second question on the test correctly , and 20 % answered neither of the questions correctly , what % answered both correctly ? 
Options: a ) 10 % , b ) ( 8 ) 20 % , c ) 50 % , d ) 60 % , e ) 65 %
Output: c
Problem: sachin is younger than rahul by 4 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 24.58 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 14
Output: e
Problem: in a classroom , 12 students brought apples and 8 students brought bananas . if exactly 10 students brought only one of the two types of fruits , how many students brought both types of fruits ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 12 , e ) 14
Output: a
Problem: a business finds that their ratio of spending to income is 5 to 9 . their total profit is $ 48000 . what is their total income ? 
Options: a ) $ 90000 , b ) $ 108000 , c ) $ 119000 , d ) $ 126000 , e ) $ 140000
Output: b
Problem: a began business with rs . 45000 and was joined afterwards by b with rs . 36000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? 
Options: a ) 1.5 , b ) 6 , c ) 7.5 , d ) 8.5 , e ) 2
Output: c
Problem: a small island country of 5000 people has an emigration and immigration statistic per 500 persons of 50.4 and 15.4 respectively . how long will it take for the population to be half of its current number . 
Options: a ) 6.8 , b ) 8.5 , c ) 6.1 , d ) 9.1 , e ) 7.14
Output: e
Problem: 6 ) a marketing firm determined that , of 240 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? 
Options: a ) a ) 15 , b ) b ) 20 , c ) c ) 25 , d ) d ) 40 , e ) e ) 45
Output: c
Problem: a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ? 
Options: a ) 1 / 25 , b ) 1 / 15 , c ) 1 / 3 , d ) 1 / 2 , e ) 1
Output: c
Problem: of the people who responded to a market survey , 150 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 5 to 1 , how many people responded to the survey ? 
Options: a ) 80 , b ) 180 , c ) 240 , d ) 360 , e ) 480
Output: b
Problem: of the 70 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: b
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 r 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 m = 3 ^ n , what is the greatest value of n for which m is a factor of 22 ! 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16
Output: c
Problem: at a certain organisation , the number of male members went up by 13 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? 
Options: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 5 , e ) 2 : 1
Output: d
Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did nell bake ? 
Options: a ) 0.125 % , b ) 1.25 % , c ) 11.7 % , d ) 125 % , e ) 0.152 %
Output: c
Problem: 3 years ago , the ratio of ages of p and q was 4 : 3 . 6 years from now , the ratio of their ages will be 7 : 6 . what is p ' s age at present ? 
Options: a ) 9 , b ) 12 , c ) 15 , d ) 18 , e ) 21
Output: c
Problem: he ratio between the sale price and the cost price of an article is 3 : 1 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 1 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 5
Output: a
Problem: if log 1087.5 = 1.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 30 , b ) 28 , c ) 27 , d ) 26 , e ) 25
Output: a
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.60 a kg to produce a mixture worth rs . 6.30 a kg ? 
Options: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 7 : 9 , e ) none of these
Output: d
Problem: local kennel has cats and dogs in the ratio of 6 : 8 . if there are 10 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 30 , b ) 35 , c ) 45 , d ) 50 , e ) 40
Output: e
Problem: there are 240 doctors and nurses at a hospital . if the ratio of doctors to nurses is 3 to 7 , how many nurses are at the hospital ? 
Options: a ) 168 , b ) 172 , c ) 176 , d ) 180 , e ) 184
Output: a
Problem: log 3 n + log 12 n what is 3 digit number n that will be whole number 
Options: a ) 6291 , b ) 7292 , c ) 1728 , d ) 1929 , e ) 1727
Output: c
Problem: a certain quantity of 45 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4
Output: c
Problem: the l . c . m . of two numbers is 48 . the numbers are in the ratio 2 : 3 . then sum of the number is : 
Options: a ) 28 , b ) 32 , c ) 40 , d ) 53 , e ) 54
Output: c
Problem: in a sports club with 80 members , 48 play badminton and 46 play tennis and 7 do not play either . how many members play both badminton and tennis ? 
Options: ['a ) 23', 'b ) 21', 'c ) 20', 'd ) 26', 'e ) 27']
Output: b
Problem: a student committee on academic integrity has 90 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: d
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 420 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: d
Problem: on a certain farm the ratio of horses to cows is 4 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 13 : 7 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 30 , b ) 60 , c ) 75 , d ) 90 , e ) 105
Output: a
Problem: 0.6 of a number is equal to 0.08 of another number . the ratio of the numbers will be 
Options: a ) 3 : 4 , b ) 4 : 3 , c ) 2 : 15 , d ) 2 : 9 , e ) 3 : 8
Output: c
Problem: how many of the positive factors of 42 , 104 and how many common factors are there in numbers ? 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 1
Output: b
Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3
Output: b
Problem: the cost of 3 pens and 5 pencils is rs . 200 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? 
Options: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) rs . 600
Output: e
Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total t of the book ? 
Options: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018
Output: a
Problem: a bag contains 6 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 5 / 14 , b ) 8 / 21 , c ) 12 / 21 , d ) 43 / 91 , e ) 47 / 91
Output: d
Problem: of the 200 stamps in a collection , 80 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? 
Options: a ) 60 , b ) 90 , c ) 100 , d ) 130 , e ) 150
Output: b
Problem: what is the square root of 400 , divided by 2 ? 
Options: a ) 9 , b ) 36 , c ) 122 , d ) 6 , e ) 10
Output: e
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 9 : 7 . the marks obtained by polly and willy are in the ratio of . . . ? 
Options: a ) 9 : 8 , b ) 11 : 10 , c ) 13 : 12 , d ) 15 : 14 , e ) 17 : 16
Output: d
Problem: find the ratio in which rice at rs . 7.10 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg 
Options: a ) 2 : 0 , b ) 3 : 4 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 8
Output: b
Problem: what is the square root of 36 , divided by 6 ? 
Options: a ) 9 , b ) 36 , c ) 122 , d ) 6 , e ) 1
Output: e
Problem: the number of stamps that p and q had were in the ratio of 7 : 4 respectively . after p gave q 8 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 ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 20
Output: b
Problem: set a consists of the integers from 4 to 16 , 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 ) 11
Output: e
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 ) 122.50 per kg , b ) 266.50 per kg , c ) 175.50 per kg , d ) 172.50 per kg , e ) 176.50 per kg
Output: c
Problem: how many numbers up to 300 and 700 are divisible by 2 , 3 and 7 both together ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: a
Problem: how many positive integers less than 30 have no common prime factor with 30 ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: d
Problem: sachin is younger than rahul by 5 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 24.58 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 15.5
Output: e
Problem: if w is the set of all the integers between 69 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 20 , b ) 32 , c ) 33 , d ) 34 , e ) 35
Output: a
Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1800 , then what is the income of p 1 ? 
Options: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 3200 , e ) s . 4500
Output: e
Problem: a bag contains 7 green balls and 7 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 4 / 13 , b ) 6 / 13 , c ) 8 / 21 , d ) 11 / 21 , e ) 17 / 42
Output: b
Problem: of the 200 stamps in a collection , 90 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? 
Options: a ) 30 , b ) 80 , c ) 100 , d ) 130 , e ) 150
Output: b
Problem: a certain bag contains 60 balls — 22 white , 18 green , 17 yellow , 3 red , and 1 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.85 , e ) 0.95
Output: e
Problem: a certain high school has 500 students . of these students , 50 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? 
Options: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470
Output: b
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 t 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: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability r that both selected dogs are not littermates ? 
Options: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9
Output: c
Problem: 9 log 9 ( 6 ) = ? 
Options: a ) 1 , b ) 6 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: the probability that event a 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 b will occur ? 
Options: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55
Output: c
Problem: a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 1 : 2 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none
Output: a
Problem: if w is the set of all the integers between 59 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 27 , b ) 32 , c ) 33 , d ) 34 , e ) 35
Output: a
Problem: how many factors does 35 ^ 2 have ? 
Options: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26
Output: c
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 11 . the larger of the two numbers is : 
Options: a ) 276 , b ) 253 , c ) 322 , d ) 345 , e ) 395
Output: b
Problem: there are 760 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? 
Options: a ) 320 , b ) 345 , c ) 425 , d ) 475 , e ) 400
Output: d
Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 126 , what is the common ratio of the g . p ? 
Options: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 5 , e ) 1 / 5
Output: d
Problem: he ratio between the sale price and the cost price of an article is 5 : 1 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 6 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 5
Output: d
Problem: how many of the positive factors of 16 are not factors of 20 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5
Output: a
Problem: profits in the partnership of bess , bill and bob are shared in the ratio 1 : 2 : 3 . if bill ' s share of the profits is $ 300 , what is bob ' s share ? 
Options: a ) $ 150 , b ) $ 900 , c ) $ 600 , d ) $ 450 , e ) none
Output: b
Problem: if 4 and 8 are factors of 60 n , what is the minimum value of n ? 
Options: a ) 2 , b ) 3 , c ) 8 , d ) 14 , e ) 56
Output: c
Problem: the simple form of the ratio 4 / 3 : 2 / 5 is ? 
Options: a ) 10 : 6 , b ) 10 : 3 , c ) 15 : 3 , d ) 25 : 3 , e ) 30 : 3
Output: b
Problem: in a family 15 people eat only vegetarian , 8 people eat only non veg . , 11 people eat both veg and non veg . . how many people eat veg in the family ? 
Options: a ) 20 , b ) 11 , c ) 23 , d ) 26 , e ) 21
Output: d
Problem: sachin is younger than rahul by 8 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 24.58 , b ) 24.5 , c ) 26 , d ) 27 , e ) 28
Output: e
Problem: 30 liters of a mixture contains milk and water in the ratio 2 : 1 . if 5 liters of this mixture be replaced by 5 liters of milk , the ratio of milk to water in the new mixture would be ? 
Options: a ) 3 : 2 , b ) 3 : 1 , c ) 4 : 1 , d ) 5 : 2 , e ) 2 : 1
Output: d
Problem: how many of the positive factors of 15 , 45 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: what is the prime factors ’ number of 48 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: d
Problem: the ratio of two cow a , b milk is 5 : 3.3 kg milk of cow a get distributed and 1 kg milk of cow b get distributed . now , 8 kg milk of cow b left . now what is the ratio of cow a and b left milk ? 
Options: a ) 3 : 2 , b ) 4 : 3 , c ) 5 : 4 , d ) 6 : 5 , e ) 5 : 3
Output: a
Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 8 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 1 to 4 . how many cooks does the restaurant have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Output: c
Problem: what is the units digit of 28 ! + 50 ! + 3 ! + 4 ! ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: a
Problem: what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ? 
Options: a ) 8 , b ) 6 , c ) 4 , d ) 2 , e ) 0
Output: a
Problem: the fisherman sale , all of the prices of the fishes sold were different . if the price of a radio sold at the fisherman sale was both the 4 th highest price and the 13 th lowest price among the prices of the fishes sold , how many fishes were sold at the fisherman sale ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 41 , e ) 16
Output: e
Problem: how many two digit prime numbers are there in which both digits are prime numbers ? ( for example , 23 is one of these numbers but 31 is not , since 1 is not a prime number . ) 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 8 , e ) 15
Output: b
Problem: in what ratio must rice of rs . 54 per kg be mixed with rice of rs . 35 per kg so that cost of mixture is rs . 42 per kg ? 
Options: a ) 9 : 7 , b ) 7 : 12 , c ) 12 : 7 , d ) 5 : 6 , e ) 7 : 9
Output: b
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age 
Options: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 23
Output: b
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 117 grams of water ? 
Options: a ) 100 , b ) 102 , c ) 104 , d ) 106 , e ) 108
Output: c
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of thesportformulation contains 5 ounces of corn syrup , how many ounces of water does it contain ? 
Options: ['a ) 15', 'b ) 30', 'c ) 45', 'd ) 75', 'e ) 90']
Output: d
Problem: from a container having pure milk , 10 % is replaced by water and the process is repeated twice . at the end of the second operation , the milk is ? 
Options: a ) 50 % , b ) 60 % , c ) 55 % , d ) 75 % , e ) 81 %
Output: e
Problem: the h . c . f . of two numbers is 18 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : 
Options: a ) 270 , b ) 300 , c ) 299 , d ) 322 , e ) 345
Output: a
Problem: 300 liters of a mixture contains milk and water in the ratio 3 : 2 if 15 liters of this mixture be replaced by 15 liters of milk , the ratio of milk to water in the new mixture would be ? 
Options: a ) 12 : 8 , b ) 12 : 4 , c ) 13 : 8 , d ) 14 : 5 , e ) 13 : 5
Output: c
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 35 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Output: a
Problem: a firm is comprised of partners and associates in a ratio of 2 : 63 . if 35 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: b
Problem: 180 college students were asked in a survey if they preferred windows or mac brand computers . 50 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 . 60 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? 
Options: a ) 25 , b ) 70 , c ) 50 , d ) 60 , e ) 75
Output: b
Problem: two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ration 8 : 5 ? 
Options: a ) 4 : 3 , b ) 3 : 4 , c ) 5 : 6 , d ) 7 : 9 , e ) none
Output: d
Problem: what number has a 1 : 20 ratio to the number 10 ? 
Options: a ) 10 , b ) 1 / 2 , c ) 2 , d ) 1 / 4 , e ) 20
Output: b
Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 2000 , then what is the income of p 1 ? 
Options: a ) s . 5000 , b ) s . 2400 , c ) s . 4000 , d ) s . 3200 , e ) s . 4200
Output: a
Problem: how many prime numbers between 1 and 100 are factors of 1771 ? 
Options: a ) 2 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Output: e
Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 10 and 20 . what is the largest number . 
Options: a ) 462 , b ) 450 , c ) 840 , d ) 504 , e ) 555
Output: c
Problem: 100 liters of a mixture contains milk and water in the ratio 4 : 1 . if 10 liters of this mixture be replaced by 10 liters of milk , the ratio of milk to water in the new mixture would be ? 
Options: a ) 7 : 5 , b ) 9 : 2 , c ) 6 : 1 , d ) 5 : 4 , e ) 11 : 4
Output: b
Problem: there are 76 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 ) 28 , b ) 30 , c ) 32 , d ) 34 , e ) 36
Output: a
Problem: a bag holds 2 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? 
Options: a ) 1 / 10 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2
Output: a
Problem: find the fraction which has the same ratio to 2 / 5 that 3 / 8 has to 1 / 5 
Options: a ) 1 / 15 , b ) 3 / 4 , c ) 5 / 8 , d ) 9 / 6 , e ) 8 / 7
Output: b
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 2.5 per pound , and german chocolate cost $ 1.5 per pound . if the total the she spent on chocolate was $ 15 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? 
Options: a ) 9 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: b
Problem: in a class of 60 students , 20 did not opt for math . 15 did not opt for science and 5 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 23 , b ) 25 , c ) 27 , d ) 30 , e ) 48
Output: d
Problem: each factor of 240 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 15 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: e
Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 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 ) 147 , d ) 165 , e ) 315
Output: c
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 3 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? 
Options: a ) 24 , b ) 28 , c ) 32 , d ) 56 , e ) 60
Output: a
Problem: kul is 22 years old and saras is 33 years . find the ratio of saras ' s age to kul ' s age . 
Options: a ) 3 / 1 , b ) 3 / 2 , c ) 5 / 2 , d ) 5 / 3 , e ) none of these
Output: b
Problem: what is the square root of 324 ? 
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 62 , e ) e ) 81
Output: a
Problem: the compound ratio of 5 : 1 , 3 : 1 and 2 : 5 ? 
Options: a ) 6 : 1 , b ) 1 : 3 , c ) 1 : 5 , d ) 1 : 1 , e ) 1 : 6
Output: a
Problem: the marks obtained by polly and sandy are in the ratio 3 : 5 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 : 4 , b ) 5 : 6 , c ) 7 : 8 , d ) 9 : 10 , e ) 11 : 12
Output: d
Problem: a group of people participate in some curriculum , 35 of them practice yoga , 20 study cooking , 15 study weaving , 7 of them study cooking only , 5 of them study both the cooking and yoga , 3 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: e
Problem: a garrison of 400 men had a provision for 31 days . after 28 days 300 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 65 days , b ) 45 days , c ) 10 days , d ) 16 days , e ) 12 days
Output: e
Problem: there are 8 executives , including the ceo and cfo , that are asked to form a small team of 5 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? 
Options: a ) 34 , b ) 35 , c ) 36 , d ) 37 , e ) 38
Output: c
Problem: the probability of two events a and b are 0.25 and 0.30 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ 
Options: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6
Output: e
Problem: 24 oz of juice p and 25 oz of juice q are mixed to make smothies x and y . the ratio of p to q 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: d
Problem: in what ratio must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 per kg ? 
Options: a ) 3 : 7 , b ) 5 : 7 , c ) 7 : 3 , d ) 7 : 5 , e ) none
Output: c
Problem: the length of the ribbon was originally 55 cm . it was reduced in the ratio 11 : 7 . what is its length now ? 
Options: a ) 6 cm , b ) 12 cm , c ) 35 cm , d ) 44 cm , e ) none of these
Output: c
Problem: how many different positive integers are factors of 25 ? 
Options: a ) 1 , b ) 5 , c ) 4 , d ) 6 , e ) 8
Output: a
Problem: in a class of 70 students , 10 did not opt for math . 5 did not opt for science and 3 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 23 , b ) 25 , c ) 27 , d ) 37 , e ) 38
Output: e
Problem: how many odd factors does 250 have ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output: b
Problem: what is the number of integers from 1 to 900 ( inclusive ) that are divisible by neither 11 nor by 35 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
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 . 72 per kg ? 
Options: a ) 6 : 1 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8
Output: a
Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total e of the book ? 
Options: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018
Output: a
Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 156 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 178.50 , d ) rs . 258.50 , e ) none of these
Output: c
Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the value of log 5 ( 512 ) 
Options: a ) 3.876 , b ) 2.967 , c ) 2.87 , d ) 3.912 , e ) 1.9
Output: a
Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? 
Options: a ) 25 , b ) 75 , c ) 125 , d ) 150 , e ) 175
Output: b
Problem: in a class of 32 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? 
Options: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32
Output: b
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 6 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 3 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 6 : 2 , d ) 2 : 3 , e ) 1 : 2
Output: b
Problem: there are 2 vessels a & b containing 25 liters each of pure milk and pure water respectively . 5 liters of milk from a is taken and poured into b , then 6 liters of mixture from b is taken and poured in a . what is ratio of water a and b respectively . 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 1 : 6 , e ) 1 : 7
Output: b
Problem: find out the ratio of milk to that of water , if a mixture is formed after mixing milk and water of 3 different vessels containning the mixture of milk to that of water in the proportion 3 : 2 , 7 : 3 , 9 : 2 respectively . 
Options: a ) 233 : 97 , b ) 235 : 98 , c ) 236 : 97 , d ) 265 : 98 , e ) 234 : 97
Output: a
Problem: what number has a 5 : 1 ratio to the number 11 ? 
Options: a ) 22 , b ) 50 , c ) 55 , d ) 52 , e ) 12
Output: c
Problem: a hen leaps 3 leaps for every 2 leaps of a duck , but 4 leaps of the duck are equal to 3 leaps of the hen . what is the ratio of the speed of the hen to that of the duck ? 
Options: a ) 2 : 1 , b ) 3 : 4 , c ) 4 : 3 , d ) 1 : 4 , e ) 5 : 6
Output: a
Problem: in a graduating class of 238 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31
Output: b
Problem: 210 school 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: a bag contains 5 green balls and 8 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 3 / 7 , b ) 6 / 11 , c ) 12 / 21 , d ) 19 / 39 , e ) 29 / 49
Output: d
Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 300 grams of compound x ? 
Options: a ) 54 , b ) 162 , c ) 250 , d ) 270 , e ) 322
Output: c
Problem: 6 ) a marketing firm determined that , of 160 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? 
Options: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 5
Output: e
Problem: what number has a 3 : 4 ratio to the number 400 ? 
Options: a ) 130 , b ) 100 , c ) 200 , d ) 300 , e ) 120
Output: d
Problem: mala and usha shared their water from a bottle . if mala and usha both drank for the same amount of time , but usha only drank 2 / 10 of the total bottle , what was the ratio of mala and usha speed ? 
Options: a ) 1 : 4 , b ) 2 : 5 , c ) 4 : 1 , d ) 3 : 5 , e ) 2 : 3
Output: c
Problem: a student committee on academic integrity has 72 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: c
Problem: 7 machines at a certain factory operate at the same constant rate . if 6 of these machines , operating simultaneously , take 42 hours to fill a certain production order , how many fewer hours does it take all 7 machines , operating simultaneously , to fill the same production order ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: d
Problem: at a certain zoo , the ratio of sea horse to penguins is 5 to 11 . if there are 85 more penguins than sea horses at the zoo , how many sea horses are there ? 
Options: a ) 24 , b ) 36 , c ) 48 , d ) 70 , e ) 132
Output: d
Problem: a person want to give his money of $ 1000 to his 3 children a , b , c in the ratio 6 : 4 : 5 what is the a + b share ? 
Options: a ) $ 660.67 , b ) $ 646.67 , c ) $ 666.67 , d ) $ 500.56 , e ) $ 600.24
Output: c
Problem: two whole numbers whose sum is 40 can not be in the ratio 
Options: a ) 4 : 10 , b ) 2 : 3 , c ) 1 : 3 , d ) 2 : 4 , e ) 3 : 5
Output: d
Problem: if both 5 ^ 3 and 3 ^ 3 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: a
Problem: the number of sailors on a ship is 88 % more than the number of officers . the ratio of sailors to officers would be 
Options: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50
Output: c
Problem: a began business with rs . 27000 and was joined afterwards by b with rs . 54000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? 
Options: a ) 9 , b ) 6 , c ) 7 , d ) 8 , e ) 2
Output: a
Problem: the marks obtained by vijay and amith are in the ratio 4 : 7 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 ) 6 : 8 , b ) 6 : 1 , c ) 6 : 5 , d ) 6 : 7 , e ) 6 : 3
Output: d
Problem: at present the ratio between the ages of arun and deepak is 2 : 5 . after 10 years arun ' s age will be 30 years . what is the age of the deepak ? 
Options: a ) 20 , b ) 40 , c ) 50 , d ) 60 , e ) 45
Output: c
Problem: the compound ratio of 5 : 6 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 2 , d ) 1 : 1 , e ) 1 : 7
Output: d
Problem: veena ranks 73 rd from the top in a class of 198 . what is her rank from the bottom if 22 students have failed the examination ? 
Options: a ) 88 , b ) 104 , c ) 110 , d ) 90 , e ) 93
Output: b
Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 10 of her stamps , the ration of the number of kaye had to the number of alberto had was 6 : 4 . as a result of the gift , kaye had how many more stamps than alberto ? 
Options: a ) 80 , b ) 85 , c ) 65 , d ) 55 , e ) 50
Output: a
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is : 
Options: a ) 40 , b ) 80 , c ) 120 , d ) 200 , e ) 220
Output: a
Problem: log 3 n + log 6 n what is 3 digit number n that will be whole number 
Options: a ) 629 , b ) 729 , c ) 829 , d ) 929 , e ) 216
Output: e
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 6 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 900
Output: e
Problem: in a certain alphabet , 9 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? 
Options: a ) 7 , b ) 8 , c ) 14 , d ) 20 , e ) 28
Output: a
Problem: find the two digit number , such that the ratio is 7 / 4 of original number to the number formed by reversing the digits . 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: b
Problem: 19 balls are numbered 1 to 19 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 2 / 9 , b ) 4 / 19 , c ) 6 / 29 , d ) 8 / 39 , e ) 10 / 49
Output: b
Problem: the h . c . f . of two numbers is 63 and the other two factors of their l . c . m . are 11 and 17 . the larger of the two numbers is : 
Options: a ) 3421 , b ) 2132 , c ) 1111 , d ) 4323 , e ) 1071
Output: e
Problem: how many positive factors do 120 and 96 have in common ? 
Options: a ) 8 , b ) 12 , c ) 16 , d ) 18 , e ) 24
Output: a
Problem: ramesh , xyz and rajeev put a partnership . profit is 36000 , if ramesh and xyz ratio is 5 : 4 and xyz and rajeev 8 : 9 . find rajeev ' s share . 
Options: a ) 14000 , b ) 15000 , c ) 16000 , d ) 12000 , e ) 17000
Output: d
Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people b who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500
Output: d
Problem: how many positive integers h between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? 
Options: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26
Output: e
Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 8 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Output: d
Problem: a dog takes 2 leaps for every 3 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : 
Options: a ) 1 : 5 , b ) 2 : 5 , c ) 3 : 5 , d ) 4 : 5 , e ) 6 : 5
Output: e
Problem: at a certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 5 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? 
Options: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 4 : 7
Output: e
Problem: a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 98 are wrong and the other digits are correct , then the correct answer would be : 
Options: a ) 288889 , b ) 556677 , c ) 555681 , d ) 267788 , e ) 268811
Output: c
Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 10,500 sedans in anytown , how many motorcycles are there ? 
Options: a ) 1260 , b ) 3000 , c ) 3600 , d ) 4200 , e ) 5200
Output: b
Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 18 white marbles . how many red marbles could be in bag a ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output: a
Problem: 3 numbers are in the ratio 3 : 5 : 7 . the largest number is 56 . what is the difference between smallest and largest number ? 
Options: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36
Output: d
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 16 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 ) 22 , d ) 30 , e ) 174
Output: c
Problem: there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
Output: a
Problem: how many odd integers from 1 to 100 ( both inclusive ) have odd number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output: c
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: he ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 6 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 5
Output: e
Problem: 6 ) a marketing firm determined that , of 300 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? 
Options: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 45
Output: d
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: the ratio of the number of females to males at a party was 1 : 2 but when 7 females and 7 males left , the ratio became 1 : 3 . how many people were at the party originally ? 
Options: a ) 28 , b ) 32 , c ) 36 , d ) 42 , e ) 50
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 108 grams of water ? 
Options: a ) 16 , b ) 96 , c ) 112 , d ) 128 , e ) 142
Output: b
Problem: how many of the positive factors of 36 , 84 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 6
Output: e
Problem: how many positive integers between 5 and 5000 ( both are inclusive ) are there such that they are multiples of 5 ? 
Options: a ) 1500 , b ) 1000 , c ) 999 , d ) 1001 , e ) 1005
Output: b
Problem: if s and t are both odd prime numbers ands < t , then how many different positive integer factors does 2 sthave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 14000 , then find his savings ? 
Options: a ) 3600 , b ) 2800 , c ) 3608 , d ) 3602 , e ) 3603
Output: b
Problem: how many positive integers between 20 and 2000 ( both are inclusive ) are there such that they are multiples of 10 ? 
Options: a ) 201 , b ) 193 , c ) 200 , d ) 199 , e ) 195
Output: d