niryuu/sni-each-converted huggingface dataset:
Problem: how many of the positive factors of 63 , 84 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1
Output: b
Problem: a dog takes 10 leaps for every 2 leaps of a hare . if one leap of the dog is equal to 2 leaps of the hare , the ratio of the speed of the dog to that of the hare is : 
Options: a ) 5 : 1 , b ) 10 : 1 , c ) 15 : 1 , d ) 20 : 1 , e ) 25 : 1
Output: b
Problem: lovely shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ? 
Options: a ) 0.8 , b ) 0.75 , c ) c ) 8 / 9 , d ) 5 / 7 , e ) 6 / 8
Output: d
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: if 75 percent of a class answered the first question on a certain test correctly , 45 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 ) 40 % , c ) 30 % , d ) 50 % , e ) 65 %
Output: b
Problem: the ratio of toddlers to infants at a day care center is 7 to 3 . if 12 more infants join the day care to change the ratio to 7 to 5 , how many toddlers are there at this day care center ? 
Options: a ) 24 , b ) 36 , c ) 42 , d ) 72 , e ) 120
Output: c
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 3 : 2 . the first number is : 
Options: a ) a ) 3 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62
Output: a
Problem: veena ranks 65 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? 
Options: a ) 96 , b ) 108 , c ) 110 , d ) 90 , e ) 93
Output: a
Problem: how many zeros does 10 ! end with ? 
Options: a ) 10 , b ) 4 , c ) 4 , d ) 3 , e ) 2
Output: e
Problem: what is the square root of 3,969 ? 
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 63 , e ) e ) 81
Output: d
Problem: from a container , 6 liters milk was drawn out and was replaced by water . again 6 liters of mixture was drawn out and was replaced by the water . thus the quantity of milk and water in the container after these two operations is 9 : 16 . the quantity of mixture is : 
Options: a ) 15 , b ) 26 , c ) 22 , d ) 27 , e ) 11
Output: a
Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ? 
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264
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 30 years . what is molly ' s age right now ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: d
Problem: lily shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ? 
Options: a ) 0.8 , b ) 0.75 , c ) c ) 8 / 9 , d ) 5 / 7 , e ) 6 / 8
Output: d
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number ? 
Options: a ) 36 , b ) 86 , c ) 27 , d ) 86 , e ) 27
Output: a
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 70 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 14
Output: e
Problem: a certain quantity of 50 % 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 / 5
Output: e
Problem: how many zeros does 500 ! end with ? 
Options: a ) 201 , b ) 240 , c ) 124 , d ) 125 , e ) 180
Output: c
Problem: find the compound ratio of ( 4 : 3 ) , ( 1 : 3 ) and ( 2 : 3 ) is 
Options: a ) 16 : 27 , b ) 12 : 13 , c ) 13 : 14 , d ) 14 : 15 , e ) 31 : 27
Output: a
Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 3.00 , what total number of pens and pencils did the customer purchase ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: c
Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p & q , having each turn together to fill the empty drum ? 
Options: a ) 45 , b ) 53 , c ) 54 , d ) 46 , e ) 63
Output: a
Problem: each factor of 210 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 42 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: c
Problem: what number has a 15 : 1 ratio to the number 10 ? 
Options: a ) 130 , b ) 100 , c ) 200 , d ) 150 , e ) 120
Output: d
Problem: there are 7 executives , including the ceo and cfo , that are asked to form a small team of 4 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 ) 25 , b ) 28 , c ) 30 , d ) 32 , e ) 35
Output: a
Problem: a movie buff buys movies on dvd and on blu - ray in a ratio of 13 : 4 . if she returns 2 blu - ray movies , that ratio would change to 7 : 2 . if she buys movies on no other medium , what was the original number of movies purchased ? 
Options: a ) 22 , b ) 28 , c ) 77 , d ) 99 , e ) 119
Output: e
Problem: if 35 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? 
Options: a ) 110 , b ) 330 , c ) 572 , d ) 430 , e ) 880
Output: c
Problem: a farmer with 1,350 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: 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 fourth , starting with the fourth , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 66 , b ) 68 , c ) 70 , d ) 64 , e ) 72
Output: d
Problem: an urn contains 6 red , 5 blue and 2 green marbles . if 2 marbles are picked at random , what is the probability that both are red ? 
Options: a ) 6 / 13 , b ) 5 / 26 , c ) 6 / 26 , d ) 9 / 26 , e ) 10 / 27
Output: b
Problem: two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 3 . find the larger integer . 
Options: a ) 4 , b ) 24 , c ) 30 , d ) 72 , e ) 80
Output: d
Problem: how many positive integers d 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: an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 16 kg of the alloy so that the ratio of the metal may be 3 : 1 is : 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 3 , e ) 1
Output: c
Problem: 140 college students were asked in a survey if they preferred windows or mac brand computers . 80 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 . 50 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? 
Options: a ) 25 , b ) 10 , c ) 50 , d ) 60 , e ) 75
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 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 4 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 10 : 12 , e ) 1 : 2
Output: d
Problem: 8 men and 2 boys working together can do 4 times as much work as a man and a boy . working capacity of man and boy is in the ratio 
Options: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 1 , d ) 2 : 3 , e ) none of these
Output: a
Problem: how many multiples of 10 are there between 100 and 10000 ( both are inclusive ) ? 
Options: a ) 456 , b ) 789 , c ) 991 , d ) 1020 , e ) 1100
Output: c
Problem: pencils , pens and exercise books in a shop are in the ratio of 10 : 2 : 3 . if there are 120 pencils , the number of exercise books in the shop is : 
Options: a ) 26 , b ) 36 , c ) 46 , d ) 56 , e ) 66
Output: b
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 20 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 ) 8 % , d ) 10 % , e ) 12 %
Output: e
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 , 588.25 . how many boxes of plain cookies did she sell ? 
Options: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 786
Output: e
Problem: a class has a ratio of 3 : 6 : 7 of children with red hair , blonde hair and black hair respectively . if the class has 9 kids with red hair , how many kids are there with black hair ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 21 , e ) 63
Output: d
Problem: local kennel has cats and dogs in the ratio of 6 : 12 . if there are 24 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 50 , b ) 48 , c ) 52 , d ) 54 , e ) 56
Output: b
Problem: how many different positive integers are factors of 36 ? 
Options: a ) 4 , b ) 6 , c ) 7 , d ) 9 , e ) 11
Output: d
Problem: the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2744 . the sum of the numbers is ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 14 , e ) 9
Output: d
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 84 . what is sum of the numbers ? 
Options: a ) 49 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Output: a
Problem: a jar contains a mixture of a & b in the ratio 4 : 1 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . 
Options: a ) 12 , b ) 15 , c ) 16 , d ) 20 , e ) 25
Output: c
Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 200 girls , the total number of students in the college is 
Options: a ) 420 , b ) 520 , c ) 620 , d ) 620 , e ) none of these
Output: b
Problem: among 400 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 42 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? 
Options: a ) 30 , b ) 90 , c ) 120 , d ) 168 , e ) 188
Output: d
Problem: there are 9 executives , including the ceo and cfo , that are asked to form a small team of 4 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 ) 97 , b ) 99 , c ) 101 , d ) 103 , e ) 105
Output: e
Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 27000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 20 : 9 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 3
Output: a
Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21 , is ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 4 : 6 . if 40 % of the toyota bought and 60 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? 
Options: a ) 66 % , b ) 64 % , c ) 68 % , d ) 69 % , e ) 52 %
Output: e
Problem: how many of the positive factors of 20 are not factors of 24 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5
Output: b
Problem: in a class of boys and girls vikas ' s rank is 9 th and tanvi ' s rank is 17 th . vikas ' s rank among the boys in that class is 4 th from the top and 18 th from the bottom and tanvi ' s rank among the girls is 8 th from top and 21 st from bottom . in the order of rank , how many girls are there between tanvi and vikas ? 
Options: a ) 29 , b ) 8 , c ) 2 , d ) 4 , e ) 6
Output: c
Problem: there are 10 slate rocks , 15 pumice rocks , and 6 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 ) 2 / 19 , b ) 3 / 31 , c ) 4 / 37 , d ) 5 / 41 , e ) 6 / 53
Output: b
Problem: evaluate 30 ! / 28 ! 
Options: a ) 720 , b ) 600 , c ) 870 , d ) 910 , e ) 650
Output: c
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 7 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 8 , b ) 1 : 7 , c ) 1 : 6 , d ) 1 : 5 , e ) 1 : 4
Output: b
Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 180 . the first number is 
Options: a ) 60 , b ) 45 , c ) 20 , d ) 15 , e ) none
Output: b
Problem: in a family 11 people eat only vegetarian , 6 people eat only non veg . , 9 people eat both veg and non veg . . how many people eat veg in the family ? 
Options: a ) 20 , b ) 11 , c ) 9 , d ) 31 , e ) 21
Output: a
Problem: find the ratio in which rice at rs . 7.20 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 ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 8
Output: b
Problem: how many positive integers q 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 of the present age of sandy to that of molly is 9 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? 
Options: a ) 18 , b ) 21 , c ) 24 , d ) 27 , e ) 30
Output: b
Problem: two numbers are respectively 20 % and 50 % more than a third number . the ratio of the two numbers is 
Options: a ) 2 : 5 , b ) 3 : 5 , c ) 4 : 5 , d ) 6 : 5 , e ) 7 : 5
Output: c
Problem: 39 ! is divided by 41 . then what is the remainder ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 9
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 e 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: a dog takes 5 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 5 leaps of the hare , the ratio of the speed of the dog to that of the hare is : 
Options: a ) 25 : 10 , b ) 25 : 8 , c ) 25 : 9 , d ) 8 : 25 , e ) 24 : 8
Output: b
Problem: a dog takes 2 leaps for every 3 leaps of a hare . if one leap of the dog is equal to 5 leaps of the hare , the ratio of the speed of the dog to that of the hare is : 
Options: a ) 9 : 3 , b ) 3 : 10 , c ) 2 : 3 , d ) 6 : 3 , e ) 10 : 3
Output: e
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 3 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 the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 63
Output: a
Problem: there are 193 items that are members of set u . of these items , 47 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? 
Options: a ) 72 , b ) 85 , c ) 94 , d ) 106 , e ) 108
Output: d
Problem: the h . c . f . of two numbers is 16 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 224 , d ) 345 , e ) 365
Output: c
Problem: if 75 percent of a class answered the first question on a certain test correctly , 25 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 ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %
Output: b
Problem: two numbers are in the ratio of 1 : 2 . if 6 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: b
Problem: the compound ratio of 2 / 5 , 6 / 7 , 1 / 3 and 1 / 8 is given by ? 
Options: a ) 7 / 98 , b ) 1 / 70 , c ) 1 / 98 , d ) 1 / 96 , e ) 1 / 68
Output: b
Problem: two mixtures of a and b have a and b in the ratio 3 : 2 and 3 : 4 . in what proportion should these two mixtures be mixed to get a new mixture in which the ration of a to b is 5 : 4 ? 
Options: a ) 6 : 1 , b ) 5 : 4 , c ) 20 : 7 , d ) 10 : 9 , e ) 14 : 11
Output: c
Problem: of the diplomats who attended a summit conference : 20 spoke japanese , 32 did not speak russian and 20 % of the diplomats spoke neither japanese nor russian . if 10 % of the diplomats spoke both japanese and russian , then how many diplomats attended the conference ? 
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output: d
Problem: praveen starts business with rs . 3500 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? 
Options: a ) rs . 7500 , b ) rs . 8000 , c ) rs . 8500 , d ) rs . 9000 , e ) rs . 6000
Output: d
Problem: mrs . evans gave a test to her freshmen economics class , which has 40 students enrolled and 30 of them answered question 1 correctly . if 29 answered question 2 correctly and 10 did not take the test then how many answered both questions correctly ? 
Options: a ) 24 , b ) 27 , c ) 29 , d ) 31 , e ) 33
Output: c
Problem: the ratio between the present age of p and q is 6 : 7 . if q is 4 years old then p , what will be the ratio of the ages of p and q after 4 year ? 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 7 : 8 , d ) 4 : 3 , e ) none of these
Output: c
Problem: if shares of two persons in profits are rs . 400 and rs . 600 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2
Output: b
Problem: what is the ratio of two no . 5 xy and 8 xy . 
Options: a ) 2 : 5 , b ) 3 : 4 , c ) 5 : 8 , d ) 2 : 3 , e ) 1 : 2
Output: c
Problem: the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? 
Options: a ) 4 / 11 , b ) 5 / 12 , c ) 6 / 17 , d ) 7 / 20 , e ) 11 / 30
Output: d
Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand w nor brand b soap , 60 used only brand w soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ? 
Options: a ) 15 , b ) 20 , c ) 30 , d ) 40 , e ) 45
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 7 : 3 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 20 , b ) 40 , c ) 50 , d ) 60 , e ) 80
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 90 grams of water ? 
Options: a ) 16 , b ) 90 , c ) 112 , d ) 128 , e ) 142
Output: b
Problem: the probability of two events a and b are 0.20 and 0.40 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 ) 0.55 , e ) 0.6
Output: d
Problem: 45 pupil , out of them 12 in debate only and 22 in singing only . then how many in both ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: c
Problem: of the diplomats who attended a summit conference : 20 spoke latin , 32 did not speak russian and 20 % of the diplomats spoke neither latin nor russian . if 10 % of the diplomats spoke both latin and russian , then how many diplomats attended the conference ? 
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output: d
Problem: find the compound ratio of ( 1 : 2 ) , ( 1 : 3 ) and ( 3 : 5 ) is 
Options: a ) 1 : 10 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 3 : 2
Output: a
Problem: the ratio of pens to pencils is 5 to 6 . there are 6 more pencils than pens . how many pencils are there ? 
Options: a ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48
Output: b
Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 175 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 356 , c ) 455 , d ) 416 , e ) 512
Output: c
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of w is less than the square root of w . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: in a bag , there are 5 green , 6 black and 7 red pens . one pen is picked up randomly . what is the probability that it is neither red nor green ? 
Options: a ) 5 / 18 , b ) 7 / 18 , c ) 1 / 3 , d ) 1 / 2 , e ) 1 / 5
Output: c
Problem: divide $ 1000 among a , b in the ratio 1 : 4 . how many $ that b get ? 
Options: a ) $ 500 , b ) $ 800 , c ) $ 1000 , d ) $ 200 , e ) $ 750
Output: b
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 17 . what could be the ratio of cats to dogs in the pet store ? 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 68 : 85
Output: e
Problem: in a group of 100 people , 50 like reading books , 20 like both reading books and listening songs . how many like listening songs ? 
Options: a ) 40 , b ) 50 , c ) 70 , d ) 60 , e ) none
Output: c
Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the ? 
Options: a ) 8 : 6 , b ) 8 : 7 , c ) 8 : 1 , d ) 8 : 2 , e ) 8 : 4
Output: b
Problem: a bag contains 7 red , 9 blue and 5 green balls . if 3 balls are picked at random , what is the probability that both are red ? 
Options: a ) 2 / 21 , b ) 3 / 41 , c ) 5 / 26 , d ) 1 / 38 , e ) 5 / 32
Output: d
Problem: a garrison of 400 men had a provision for 31 days . after 25 days 320 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 65 days , b ) 30 days , c ) 10 days , d ) 16 days , e ) 18 days
Output: b
Problem: the ratio between the sale price and the cost price of an article is 9 : 7 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 9 , b ) 2 : 7 , c ) 3 : 6 , d ) 2 : 0 , e ) 2 : 1
Output: b
Problem: the simple form of the ratio 4 / 2 : 2 / 5 is ? 
Options: a ) 10 : 6 , b ) 5 : 1 , c ) 15 : 3 , d ) 25 : 3 , e ) 30 : 3
Output: b
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 v who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500
Output: d
Problem: how many prime numbers between 1 and 100 are factors of 10010 ? 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Output: a
Problem: one lady has 2 children , one of her child is boy , what is the probability of having both are boys 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 3 / 4
Output: a
Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 180 . what is their h . c . f . ? 
Options: a ) 15 , b ) 20 , c ) 40 , d ) 60 , e ) 70
Output: a
Problem: what is the characteristic of the logarithm of 0.0000134 ? 
Options: a ) 5 , b ) - 5 , c ) 6 , d ) - 6 , e ) 7
Output: b
Problem: the ratio of numbers is 3 : 4 and their h . c . f is 3 . their l . c . m is : 
Options: a ) 12 , b ) 16 , c ) 36 , d ) 48 , e ) 98
Output: c
Problem: in a certain alphabet , 20 letters contain a dot and a straight line . 36 letters contain a straight line but do not contain a dot . if that alphabet has 60 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 ) 4 , b ) 3 , c ) 14 , d ) 20 , e ) 28
Output: a
Problem: the ratio of spinsters to cats is 2 to 7 . if there are 40 more cats than spinsters , how many spinsters are there ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
Output: b
Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 80 more girls than boys , how many boys are there ? 
Options: a ) 27 , b ) 36 , c ) 45 , d ) 50 , e ) 117
Output: d
Problem: the ratio between the present ages of a and b is 4 : 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 ) 3 : 4 , b ) 3 : 0 , c ) 3 : 1 , d ) 3 : 2 , e ) 9 : 5
Output: e
Problem: the sum of 3 numbers is 98 . if the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the second number is : 
Options: a ) 20 , b ) 30 , c ) 38 , d ) 48 , e ) none of these
Output: b
Problem: a shipment of 240 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 ) 9 / 74 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3
Output: b
Problem: if w is the set of all the integers between 10 and 332 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 111 , b ) 28 , c ) 160 , d ) 213 , e ) 107
Output: d
Problem: a ratio between two numbers is 8 : 9 and their l . c . m . is 432 . the first number is 
Options: a ) 60 , b ) 45 , c ) 50 , d ) 48 , e ) none
Output: d
Problem: a dog takes 4 leaps for every 5 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 ) 12 : 5 , b ) 4 : 3 , c ) 9 : 5 , d ) 9 : 1 , e ) 9 : 2
Output: a
Problem: the ratio of the present age of two brothers is 1 : 2 and 5 years back , the ratio was 1 : 3 . what will be the ratio of their ages after 5 years ? 
Options: a ) 3 : 9 , b ) 3 : 0 , c ) 3 : 5 , d ) 3 : 2 , e ) 3 : 1
Output: c
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 5 : 9 . if the shop carries 204 dogs and bunnies total in stock , how many dogs are there ? 
Options: a ) 51 , b ) 66 , c ) 98 , d ) 112 , e ) 154
Output: a
Problem: find the compound ratio of ( 1 : 2 ) , ( 2 : 3 ) and ( 3 : 4 ) is 
Options: a ) 1 : 2 , b ) 3 : 5 , c ) 5 : 7 , d ) 1 : 4 , e ) 2 : 1
Output: d
Problem: the ratio of three numbers is 3 : 4 : 7 and their product is 18144 . the numbers are 
Options: a ) 9 , 12,21 , b ) 15 , 20,25 , c ) 18 , 24,42 , d ) 24 , 15,17 , e ) 30 , 12,7
Output: c
Problem: if both 7 ^ 2 and 3 ^ 4 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? 
Options: a ) 120 , b ) 256 , c ) 343 , d ) 441 , e ) 512
Output: d
Problem: a person want to give his money of $ 4500 to his 4 children a , b , c , d in the ratio 2 : 4 : 5 : 4 . what is the a + b share ? 
Options: a ) $ 1000 , b ) $ 2000 , c ) $ 1800 , d ) $ 1500 , e ) $ 1600
Output: c
Problem: 1 blue dice and 2 red dice are thrown . . . . what is the probability that the no . appeared on blue dice is always greater than both the no . appeared on the 2 red dice . . 
Options: a ) 55 / 216 , b ) 56 / 216 , c ) 57 / 216 , d ) 54 / 216 , e ) 53 / 216
Output: a
Problem: a bag contains 5 green balls and 9 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 11 / 21 , b ) 17 / 42 , c ) 23 / 42 , d ) 46 / 91 , e ) 51 / 91
Output: d
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 , 586.25 . how many boxes of plain cookies did she sell ? 
Options: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 790
Output: e
Problem: the ratio of the adjacent angles of a parallelogram is 5 : 10 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
Options: a ) 168 ° , b ) 228 ° , c ) 144 ° , d ) 224 ° , e ) none of these
Output: c
Problem: what is the square root of 4,624 ? 
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 68 , d ) d ) 62 , e ) e ) 81
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 15 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 354
Output: d
Problem: praveen starts business with rs . 3640 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? 
Options: a ) s . 7500 , b ) s . 8000 , c ) s . 8500 , d ) s . 9000 , e ) s . 9360
Output: e
Problem: 210 college students were asked in a survey if they preferred windows or mac brand computers . 90 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 ) 40 , c ) 50 , d ) 60 , e ) 75
Output: d
Problem: in a certain alphabet , 13 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 ) 3 , b ) 8 , c ) 14 , d ) 20 , e ) 28
Output: a
Problem: if log 1087.5 = 5.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 30 , b ) 70 , c ) 27 , d ) 26 , e ) 25
Output: b
Problem: the probability that a computer company will get a computer hardware contract is 4 / 5 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 5 / 6 , what is the probability that it will get both the contracts ? 
Options: a ) 7 / 20 , b ) 9 / 25 , c ) 11 / 30 , d ) 13 / 35 , e ) 17 / 40
Output: c
Problem: how many multiples of 100 are there between 100 and 1000 ( both are inclusive ) ? 
Options: a ) 2 , b ) 8 , c ) 4 , d ) 5 , e ) 10
Output: e
Problem: the ratio between the sale price and the cost price of an article is 7 : 4 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 3 : 4 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 25
Output: a
Problem: divide $ 900 among a , b in the ratio 1 : 2 . how many $ that a get ? 
Options: a ) $ 50 , b ) $ 300 , c ) $ 150 , d ) $ 250 , e ) $ 600
Output: b
Problem: the cost of 3 pens and 5 pencils is rs . 240 . 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 . 720 , c ) rs . 300 , d ) rs . 150 , e ) none of these
Output: b
Problem: the ratio of flour to water to sugar in a recipe is 11 : 5 : 2 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 7.5 cups of water , how much sugar is required ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: e
Problem: a certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 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 ) 540 , d ) 565 , e ) 560
Output: e
Problem: how many terminating zeroes r does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
Output: c
Problem: in what ratio should a 20 % methyl alcohol solution be mixed with a 50 % methyl alcohol solution so that the resultant solution has 40 % methyl alcohol in it ? 
Options: a ) 1 : 3 , b ) 1 : 2 , c ) 2 : 3 , d ) 2 : 1 , e ) 3 : 1
Output: b
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 , 29 have long fur , 17 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 ) 9
Output: e
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 60 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 12 , e ) 8
Output: d
Problem: the h . c . f . of two numbers is 28 and the other two factors of their l . c . m . are 12 and 15 . the larger of the two numbers is 
Options: a ) 420 , b ) 430 , c ) 312 , d ) 322 , e ) none
Output: a
Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 8 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? 
Options: a ) 2 , b ) 9 , c ) 6 , d ) 21 , e ) 30
Output: c
Problem: a garrison of 400 men had a provision for 31 days . after 28 days 280 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 ) 18 days
Output: c
Problem: in a ratio which is equal to 7 : 9 , if the antecedent is 42 , then the consequent is ? 
Options: a ) 72 , b ) 54 , c ) 64 , d ) 51 , e ) 45
Output: b
Problem: a man invests some money partly in 9 % stock at 96 and partly in 12 % stock at 120 . to obtain equal dividends from both , he must invest the money in the ratio ? 
Options: a ) 16 : 18 , b ) 16 : 13 , c ) 16 : 15 , d ) 16 : 12 , e ) 16 : 11
Output: c
Problem: there are 100 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 ) 13 , b ) 41 , c ) 47 , d ) 48 , e ) 53
Output: b
Problem: there are 399 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? 
Options: a ) 152 , b ) 209 , c ) 57 , d ) 231 , e ) 181
Output: d
Problem: jaya ranks 5 th in a class of 53 . what is her rank from the bottom in the class ? 
Options: a ) 49 th , b ) 48 th , c ) 47 th , d ) 50 th , e ) none of these
Output: a
Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many acres q were used for corn ? 
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
Output: c
Problem: what is the greatest positive integer q such that 3 ^ q is a factor of 9 ^ 10 ? 
Options: a ) q = 5 , b ) q = 9 , c ) q = 10 , d ) q = 20 , e ) 30
Output: d
Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % 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 ) 2 / 3 , b ) 3 / 5 , c ) 3 / 10 , d ) 8 / 15 , e ) 11 / 30
Output: d
Problem: integer m has 4 different prime factors and n has 3 different prime factors . if m and n has the greatest common factor of 15 , how many different prime factors does mn have ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: b
Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies m and y . the ratio of p to v in smothie m 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 m ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: d
Problem: what is the units digit of 31 ! + 50 ! + 2 ! + 3 ! ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: e
Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 8 : 2 . if 80 % of the toyota bought and 20 % of the honda bought were suv â € ™ s . how many suv â € ™ s did uba capital buy in the aforementioned purchase ? 
Options: a ) 66 % , b ) 64 % , c ) 68 % , d ) 69 % , e ) 72 %
Output: c
Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 160 more girls than boys , how many boys are there ? 
Options: a ) 100 , b ) 36 , c ) 45 , d ) 72 , e ) 117
Output: a
Problem: the ratio of three numbers is 6 : 7 : 5 and their sum is 108 . the second number of the three numbers is ? 
Options: a ) 12 , b ) 42 , c ) 30 , d ) 36 , e ) none of these
Output: b
Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 3.5 . the factory holds a $ 45 worth stock of 11 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 30 , b ) 28 , c ) 25 , d ) 20 , e ) 10
Output: e
Problem: in a group of 28 junior high school students , 7 take french , 10 take spanish , and 2 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 ) 9 , d ) 4 , e ) 8
Output: c
Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 40 % 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 ) 1 / 2 , b ) 2 / 3 , c ) 3 / 5 , d ) 7 / 10 , e ) 11 / 15
Output: c
Problem: how many of the positive factors of 56 , 96 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1
Output: c
Problem: two sacks together contained 40 kilograms of sugar . if after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60 % the weight of the sugar in the second , what was the original difference in the weights of the sacks ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Output: c
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 4 for a dollar and the other at a rate of 6 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 ) 2 : 3 , d ) 3 : 2 , e ) 2 : 5
Output: d
Problem: a dog takes 3 leaps for every 7 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 ) 9 : 7 , b ) 9 : 9 , c ) 9 : 6 , d ) 9 : 1 , e ) 9 : 2
Output: a
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.5 per pound , and german chocolate cost $ 2.5 per pound . if the total the she spent on chocolate was $ 70 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? 
Options: a ) 7 , b ) 8 , c ) 10 , d ) 24 , e ) 15
Output: d
Problem: of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? 
Options: a ) 72 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output: e
Problem: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . 
Options: a ) 7 / 18 , b ) 7 / 19 , c ) 7 / 11 , d ) 7 / 12 , e ) 7 / 15
Output: e
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 5 : 5 . 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 ) 1 / 4 , b ) 1 / 8 , c ) 1 / 6 , d ) 1 / 2 , e ) 1
Output: d
Problem: income and expenditure of a person are in the ratio 3 : 2 . if the income of the person is rs . 21000 , then find his savings ? 
Options: a ) 6000 , b ) 7000 , c ) 8000 , d ) 9000 , e ) 10000
Output: b
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 2 : 3 . the first number is : 
Options: a ) a ) 27 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62
Output: a
Problem: a certain bag contains 100 balls â € ” 10 white , 30 green , 10 yellow , 47 red , and 3 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 ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5
Output: e
Problem: a starts business with rs . 3500 and after 6 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? 
Options: a ) 24887 , b ) 20778 , c ) 23788 , d ) 10500 , e ) 2811
Output: d
Problem: mukesh weight 56.7 kg . if he reduces his weight in the ratio 7 : 6 . new weight of mukesh is ? 
Options: a ) 47.6 , b ) 48.6 , c ) 49.6 , d ) 50.6 , e ) 51.6
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 28 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 7
Output: c
Problem: the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? 
Options: a ) 11 / 30 , b ) 31 / 60 , c ) 41 / 80 , d ) 51 / 120 , e ) 71 / 180
Output: e
Problem: a bag contains 3 red , 4 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 ) 3 / 55 , d ) 3 / 29 , e ) 4 / 27
Output: c
Problem: in a zoo , the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas ? 
Options: a ) 2 , b ) 12 , c ) 5 , d ) 10 , e ) 15
Output: b
Problem: there are 200 doctors and nurses at a hospital . if the ratio of doctors to nurses is 4 to 6 , how many nurses are at the hospital ? 
Options: a ) 110 , b ) 120 , c ) 130 , d ) 140 , e ) 150
Output: b
Problem: the ratio of the present age of sandy to that of molly is 7 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? 
Options: a ) 18 , b ) 24 , c ) 30 , d ) 36 , e ) 42
Output: d
Problem: how many odd factors does 520 have ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output: b
Problem: how many factors of 2475 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 4 , c ) 17 , d ) 6 , e ) 7
Output: c
Problem: in a class of 50 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: d
Problem: there are 680 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 ) 425 , b ) 345 , c ) 375 , d ) 380 , e ) 400
Output: a
Problem: a farmer with 1,350 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 : 3 : 4 , respectively . how many more acres of land were planted with tobacco under the new system ? 
Options: a ) 75 , b ) 150 , c ) 300 , d ) 450 , e ) 600
Output: c
Problem: in a graduating class of 236 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 ) 117 , e ) 31
Output: d
Problem: if the ratio of a to b is 11 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 ) 11 / 15 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6
Output: b
Problem: the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ? 
Options: a ) 17 , b ) 14 , c ) 10 , d ) 16 , e ) 20
Output: c
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 36 . what is sum of the numbers ? 
Options: a ) 21 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Output: a
Problem: if a and d are both integers , a > d , and - 3 c > 19 , then the largest value of d would be ? 
Options: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10
Output: d