niryuu/sni-each-converted huggingface dataset:
Problem: a hare and a jackal are running a race . 3 leaps of the hare are equal to 4 leaps of the jackal . for every 6 leaps of the hare , the jackal takes 7 leaps . find the ratio of the speed of the hare to the speed of the jackal . 
Options: a ) 64 : 25 , b ) 8 : 7 , c ) 5 : 8 , d ) 25 : 64 , e ) 6 : 7
Output: b
Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 36000 . 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: 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 $ 1.60 , what total number of pens and pencils did the customer purchase ? 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: a
Problem: the ratio of type of pen and type of notebook is 5 : 4 . and in 80 ways one can start writing . tell me the no . of pen and no . of notebook . 
Options: a ) 6,12 , b ) 10,6 , c ) 10,8 , d ) 8,4 , e ) 6,8
Output: c
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 17 boys and 43 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? 
Options: a ) 5 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: a
Problem: find the greatest common factor ( gfc ) of 24 , 40 and 60 . 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: d
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 5 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 ) 18 , b ) 28 , c ) 40 , d ) 56 , e ) 60
Output: c
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 1 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 ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 8
Output: e
Problem: the ratio of the incomes of rajan and balan is 7 : 6 and the ratio of their expenditure is 6 : 5 . if at the end of the year , each saves $ 1000 then the income of rajan is ? 
Options: a ) $ 7600 , b ) $ 7000 , c ) $ 8000 , d ) $ 9000 , e ) $ 5000
Output: b
Problem: the ratio between the sale price and the cost price of an article is 8 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 23 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 25
Output: d
Problem: if the numbers 1 to 97 are written on 97 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? 
Options: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 97 , d ) 1 , e ) 2
Output: c
Problem: the ratio of pens to pencils is 5 to 6 . there are 7 more pencils than pens . how many pencils are there ? 
Options: a ) 36 , b ) 42 , c ) 48 , d ) 55 , e ) 64
Output: b
Problem: in a family 13 people eat only vegetarian , 7 people eat only non veg . , 8 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: e
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.80 a kg to produce a mixture worth rs . 6.30 a kg ? 
Options: a ) 5 : 9 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) none of these
Output: a
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is seven times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 63 : 8
Output: e
Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 38 years . what is molly ' s age right now ? 
Options: a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27
Output: d
Problem: the ratio of boys to girls is 6 : 4.60 % of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ? 
Options: a ) 51 % , b ) 52 % , c ) 53 % , d ) 54 % , e ) 55 %
Output: b
Problem: the ratio of two quantities is 7 to 12 . if each of the quantities is divided by 3 , what is the ratio of these 2 new quantities ? 
Options: a ) 3.5 : 6 , b ) 14 : 24 , c ) 7 : 12 , d ) 2.3 : 4 , e ) it can not be determined from the information given
Output: c
Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 360 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? 
Options: ['a ) 96', 'b ) 108', 'c ) 120', 'd ) 132', 'e ) 140']
Output: a
Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 5 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? 
Options: a ) 1 : 1 , b ) 3 : 4 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9
Output: b
Problem: each factor of 290 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 ) 16 , d ) 3 / 16 , e ) 1 / 4
Output: c
Problem: how many integers from 1 to 100 ( both inclusive ) have odd number of factors ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) greater than 10
Output: d
Problem: two family reunions are happening at the taj hotel , the oates reunion and the hall reunion . all 150 guests at the hotel attend at least one of the reunions . if 70 people attend the oates reunion and 52 people attend the hall reunion , how many people attend both reunions ? 
Options: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 28
Output: e
Problem: at a certain organisation , the number of male members went up by 15 % 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 : 2 , e ) 2 : 1
Output: a
Problem: in gabriel ' s sheep herd , every sheep has either fleas or lice or both . half of the sheep have lice , and 84 sheep have both pests . if 94 sheep have lice , how many sheep have only fleas ? 
Options: a ) 10 , b ) 20 , c ) 84 , d ) 94 , e ) 178
Output: a
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 4 . the sum of numbers is : 
Options: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: e
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 13 and 14 . the larger of the two numbers is : 
Options: a ) 338 , b ) 278 , c ) 322 , d ) 231 , e ) 121
Output: c
Problem: x starts a business with rs . 35000 . y joins in the business after 3 months with rs . 25000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 28 : 15 , b ) 29 : 16 , c ) 25 : 23 , d ) 14 : 15 , e ) none of these
Output: a
Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number f of people surveyed by the company ? 
Options: a ) 46 , b ) 80 , c ) f = 90 , d ) f = 100 , e ) 200
Output: d
Problem: if two dice are thrown together , the probability of getting an even number on both dice is 
Options: a ) 1 / 4 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 3 , e ) 1 / 2
Output: a
Problem: if the radii of umbra and penumbra cast by an object on a wall are of the ratio 2 : 6 , what is the area of the penumbra ring around the umbra of the latter ’ s radius is 40 cms ? 
Options: ['a ) 40288.57 cm ^ 2', 'b ) 40388.57 cm ^ 2', 'c ) 40488.57 cm ^ 2', 'd ) 40588.57 cm ^ 2', 'e ) 40688.57 cm ^ 2']
Output: a
Problem: a bag contains 7 black and 8 white balls . if two balls are drawn simultaneously , what is the probability that both are of the same color is ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 3 / 5 , e ) 7 / 15
Output: e
Problem: madhav ranks seventeenth in a class of thirtyone . what is his rank from the last ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Output: c
Problem: if the ratio of two number is 6 : 7 and lcm of the number is 450 then what is the number . 
Options: a ) 11 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: a
Problem: a bag contains 4 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is 
Options: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 17 / 33
Output: e
Problem: in a group of 100 people , 55 have visited iceland and 43 have visited norway . if 61 people have visited both iceland and norway , how many people have visited neither country ? 
Options: a ) 60 , b ) 61 , c ) 62 , d ) 63 , e ) 64
Output: d
Problem: in the year 1990 there are 5000 men 3000 women 2000 boys . in 1994 men are increased by 20 % women are increased by ratio of boys and women ? 
Options: a ) 11000 , b ) 12000 , c ) 13000 , d ) 14000 , e ) 15000
Output: c
Problem: two numbers are in the ratio of 5 : 7 . if 7 is subtracted from each number , they are in the ratio of 2 : 3 . what are the two numbers ? 
Options: a ) 35 , 49 , b ) 40 , 56 , c ) 45 , 63 , d ) 50 , 70 , e ) 55 , 77
Output: a
Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 6 : 4 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . 
Options: a ) 1 : 1 , b ) 2 : 1 , c ) 3 : 1 , d ) 5 : 1 , e ) 6 : 1
Output: a
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 11 and 12 . the larger of the two numbers is : 
Options: a ) 338 , b ) 276 , c ) 322 , d ) 231 , e ) 121
Output: b
Problem: 60 kg of an alloy a is mixed with 100 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 2 and alloy b has tin and copper in the ratio 1 : 4 , then the amount of tin in the new alloy is ? 
Options: a ) 24 kg , b ) 44 kg , c ) 20 kg , d ) 30 kg , e ) 52 kg
Output: b
Problem: in a college students can play cricket or basketball . 500 play cricket . 220 played both and 600 played basketball . what is the total strength of college ? 
Options: a ) 800 , b ) 880 , c ) 920 , d ) 950 , e ) 980
Output: b
Problem: sachin is younger than rahul by 6 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 24.58 , b ) 14 , c ) 15 , d ) 24.9 , e ) 24.1
Output: c
Problem: 135 kg of an alloy a is mixed with 145 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? 
Options: a ) 100.6 kg , b ) 142 kg , c ) 135 kg , d ) 110.8 kg , e ) 114 kg
Output: b
Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 135 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 351 , c ) 452 , d ) 416 , e ) 512
Output: b
Problem: on multiplying a number a by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . 
Options: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355
Output: d
Problem: the diluted wine contains only 8 liters of wine and the rest is water . a new mixture whose concentration is 30 % , is to be formed by replacing wine . how many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ? 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: b
Problem: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be 3 ? 
Options: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 42 , e ) 12 / 21
Output: d
Problem: out of 460 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 120 , b ) 150 , c ) 100 , d ) 180 , e ) 90
Output: e
Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number g of people surveyed by the company ? 
Options: a ) 46 , b ) g = 80 , c ) g = 90 , d ) g = 100 , e ) 200
Output: d
Problem: the duplicate ratio of 2 : 6 is ? 
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 9 , d ) 1 : 18 , e ) 1 : 13
Output: c
Problem: if log 1087.5 = 3.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 30 , b ) 28 , c ) 27 , d ) 50 , e ) 25
Output: d
Problem: in a class of 45 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 ) 23 , e ) 32
Output: d
Problem: if $ 1092 are divided between worker a and worker b in the ratio 5 : 8 , what is the share that worker b will get ? 
Options: a ) 60.32 % , b ) 61.54 % , c ) 62.21 % , d ) 62.76 % , e ) 63.87 %
Output: b
Problem: the number of sailors on a ship is 82 % 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 ) 91 : 50
Output: e
Problem: in a ratio which is equal to 4 : 6 , if the antecedent is 20 , then the consequent is ? 
Options: a ) 72 , b ) 85 , c ) 30 , d ) 51 , e ) 45
Output: c
Problem: the probability of two events a and b are 0.25 and 0.35 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ 
Options: a ) 0.55 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6
Output: a
Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number w 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: d
Problem: share rs . 4800 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 900 , b ) 980 , c ) 1600 , d ) 1240 , e ) 1400
Output: c
Problem: a hen leaps 6 leaps for every 8 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 ) 1 : 1 , b ) 3 : 8 , c ) 4 : 3 , d ) 8 : 9 , e ) 1 : 3
Output: a
Problem: the sub - duplicate ratio of 16 : 36 is 
Options: a ) 4 : 6 , b ) 1 : 2 , c ) 1 : 3 , d ) 1 : 4 , e ) 2 : 3
Output: a
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 180 grams of water ? 
Options: a ) 160 , b ) 72 , c ) 112 , d ) 128 , e ) 142
Output: a
Problem: in a class of 50 students , 20 play baseball , 15 play cricket and 11 play football . 7 play both baseball and cricket , 4 play cricket and football and 5 play baseball and football . if 18 students do not play any of these given sports , how many students play exactly two of these sports ? 
Options: a ) 10 , b ) 46 , c ) 67 , d ) 68 , e ) 446
Output: a
Problem: how many factors does 49 ^ 2 have ? 
Options: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 36
Output: e
Problem: out of 250 students of a college , 160 play football , 90 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70
Output: c
Problem: at present the ratio between the ages of arun and deepak is 5 : 7 . after 6 years , arun ' s age will be 36 years . what is the age of deepak at present ? 
Options: a ) 35 years , b ) 25 years , c ) 42 years , d ) 39 years , e ) 40 years
Output: c
Problem: in a ratio which is equal to 7 : 9 , if the antecedent is 56 , then the consequent is ? 
Options: a ) 72 , b ) 85 , c ) 64 , d ) 51 , e ) 45
Output: a
Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many w women are currently in the room ? 
Options: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36
Output: d
Problem: divide rs . 32000 in the ratio 3 : 7 ? 
Options: a ) 12000 , 20000 , b ) 9600 , 22400 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 12000 , 20001
Output: b
Problem: a bag contains 4 red , 4 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 2 / 15 , b ) 2 / 21 , c ) 5 / 26 , d ) 3 / 29 , e ) 4 / 27
Output: a
Problem: if 2.5 of a number is equal to 0.75 of another number , the ratio of the numbers is : 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 10 , d ) 20 : 3 , e ) 30 : 7
Output: c
Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak hindi and 20 % of the diplomats spoke neither french nor hindi . if 10 % of the diplomats spoke both french and hindi , then how many diplomats attended the conference ? 
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output: d
Problem: in township k , 1 / 5 of the housing units are equipped with cable television . if 1 / 10 of the housing units , including 1 / 3 of those that are equipped with cable television , are equipped with videocassette recorders , what fraction of the housing units have neither cable television nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15
Output: a
Problem: tea worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , what is the price of the third variety per kg ? 
Options: a ) 175.5 , b ) 182.5 , c ) 170.0 , d ) 180.0 , e ) 190.0
Output: a
Problem: the ratio of spinsters to cats is 2 to 7 . if there are 35 more cats than spinsters , how many spinsters are there ? 
Options: a ) 14 , b ) 21 , c ) 28 , d ) 35 , e ) 42
Output: a
Problem: he ratio between the sale price and the cost price of an article is 4 : 7 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 6 , b ) 3 : 7 , c ) 3 : 8 , d ) 2 : 1 , e ) 8 : 3
Output: b
Problem: in a group of 25 , 13 can speak latin , 15 can speak french , and 6 do n ' t speak either . how many of these speak both latin and french ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 8
Output: a
Problem: how many prime numbers between 1 and 100 are factors of 210 ? 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Output: b
Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak english and 20 % of the diplomats spoke neither french nor english . if 10 % of the diplomats spoke both french and english , then how many diplomats attended the conference ? 
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output: d
Problem: a movie buff buys movies on dvd and on blu - ray in a ratio of 17 : 4 . if she returns 4 blu - ray movies , that ratio would change to 9 : 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 ) 378
Output: e
Problem: the marks obtained by polly and sandy are in the ratio 4 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? 
Options: a ) 2 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 4 , e ) 6 : 5
Output: a
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 45 : 8
Output: e
Problem: an alloy is to contain steel and iron in the ratio 5 : 2 . the iron required to be melted with 35 kg of steel is ? 
Options: a ) 12 kg , b ) 14 kg , c ) 15 kg , d ) 20 kg , e ) 18 kg
Output: b
Problem: there are 361 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 ) 171 , e ) 181
Output: a
Problem: of the diplomats attending a summit conference , 14 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 ) 180
Output: e
Problem: two integers are in the ratio of 1 to 4 . if 12 is added to the smaller number , the ratio becomes 1 to 1 . find the larger integer . 
Options: a ) 8 , b ) 16 , c ) 32 , d ) 48 , e ) 54
Output: b
Problem: the value of log 2 ( log 5625 ) is 
Options: a ) 2 , b ) 5 , c ) 10 , d ) 15 , e ) 20
Output: a
Problem: local kennel has cats and dogs in the ratio of 5 : 10 . if there are 40 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 80 , b ) 70 , c ) 60 , d ) 50 , e ) 45
Output: a
Problem: two numbers are in the ratio of 5 : 7 . if 12 is subtracted from each number , they are in the ratio of 11 : 17 . what are the two numbers ? 
Options: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91
Output: a
Problem: the value of ( log 9 27 + log 8 32 ) is : 
Options: a ) 7 / 2 , b ) 19 / 6 , c ) 5 / 3 , d ) 7 , e ) 8
Output: c
Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 6 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3
Output: e
Problem: if 0.3 of a number is equal to 0.06 of another number , the ratio of the numbers i 
Options: a ) 3 : 15 , b ) 1 : 2 , c ) 3 : 20 , d ) 20 : 3 , e ) none
Output: a
Problem: set a consists of the integers from 1 to 12 , inclusive , while set b consists of the integers from 5 to 15 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 15 , e ) 9
Output: a
Problem: the number of stamps that p and q had were in the ratio of 7 : 3 respectively . after p gave q 13 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 5 : 4 . as a result of the gift , p had how many more stamps than q ? 
Options: a ) 10 , b ) 25 , c ) 40 , d ) 65 , e ) 90
Output: a
Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 45 , then find the smaller number ? 
Options: a ) 25 , b ) 66 , c ) 77 , d ) 88 , e ) 75
Output: e
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is 4 times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 12 : 8 , b ) 8 : 16 , c ) 9 : 16 , d ) 8 : 12 , e ) 16 : 9
Output: c
Problem: in a group of 90 students , 36 are taking history , and 30 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? 
Options: a ) 9 , b ) 19 , c ) 23 , d ) 27 , e ) 29
Output: e
Problem: q - 1 ) of the 84 parents who attended a meeting at a school , 25 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic . if the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments , how many of the parents volunteered to bring refreshments ? 
Options: a ) 25 , b ) 36 , c ) 38 , d ) 45 , e ) 42
Output: e
Problem: how many of the positive factors of 10 , 16 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: bucket p has thrice the capacity as bucket q . it takes 80 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ? 
Options: a ) 30 , b ) 45 , c ) 60 , d ) 80 , e ) 100
Output: c
Problem: at present , the ratio between the ages of shekhar and shobha is 4 : 3 . after 6 years , shekhar ' s age will be 26 years . find out the age of shobha at present ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 20
Output: d
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 9 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 7 , d ) 1 : 8 , e ) 1 : 9
Output: e
Problem: 15 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? 
Options: a ) 80 , b ) 160 , c ) 720 , d ) 2100 , e ) 2940
Output: e
Problem: two vessels contains equal number of mixtures milk and water in the ratio 3 : 2 and 4 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? 
Options: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 11 , d ) 7 : 3 , e ) 15 : 4
Output: d
Problem: two numbers are in the ratio of 5 : 8 . if 30 be subtracted from each , they are in the ratio of 5 : 9 . find the numbers ? 
Options: a ) 122,195 , b ) 121,199 , c ) 120,192 , d ) 102,192 , e ) 126,109
Output: c
Problem: 6 years ago , the ratio of the ages of vimal and saroj was 6 : 5 . 4 years hence , the ratio of their ages will be 11 : 10 . what is saroj ' s age at present ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 15
Output: c
Problem: what is the prime factors ’ number of 12 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: b
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 45 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: b
Problem: a box contains 4 black , 3 red and 6 green marbles . 3 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? 
Options: a ) 24 / 286 , b ) 25 / 709 , c ) 25 / 286 , d ) 24 / 268 , e ) 24 / 226
Output: c
Problem: how many positive factors of 42 are not factors of 56 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
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 8 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 ) 14 , c ) 22 , d ) 30 , e ) 174
Output: b
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 13 : 1 , b ) 13 : 3 , c ) 13 : 8 , d ) 13 : 5 , e ) 13 : 2
Output: b
Problem: two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 5 : 2 , d ) 4 : 3 , e ) 7 : 9
Output: a
Problem: a certain bag contains 100 balls â € ” 20 white , 30 green , 10 yellow , 37 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: c
Problem: a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ? 
Options: a ) 6000 , b ) 9000 , c ) 9500 , d ) 12000 , e ) none
Output: b
Problem: what is the square root of 151,321 ? 
Options: a ) 476 , b ) 389 , c ) 497 , d ) 411 , e ) 524
Output: b
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 9,100 sedans in anytown , how many motorcycles are there ? 
Options: a ) 1260 , b ) 2600 , c ) 3600 , d ) 4200 , e ) 5200
Output: b
Problem: a dog takes 5 leaps for every 6 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 : 6 , b ) 5 : 6 , c ) 6 : 1 , d ) 5 : 1 , e ) 9 : 1
Output: d
Problem: a and b together have $ 1210 . if of a ' s amount is equal to of b ' s amount , what is the ratio between a and b ? 
Options: a ) 2 : 3 , b ) 3 : 2 , c ) 4 : 5 , d ) 5 : 3 , e ) can not be determined
Output: b
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is three times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 27 : 8
Output: e
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 3 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? 
Options: a ) 7 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Output: a
Problem: if a and b are both odd prime numbers and a < b , then how many different positive integer factors does 2 ab have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: the ratio of three numbers is 2 : 3 : 4 and their sum is 180 . the second number of the three numbers is ? 
Options: a ) 24 , b ) 60 , c ) 27 , d ) 29 , e ) 30
Output: b
Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 20 households had a both a car and a bike and 44 had a car , how many had bike only ? 
Options: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10
Output: b
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 38 years . what is deepak present age ? 
Options: a ) 22 , b ) 24 , c ) 77 , d ) 266 , e ) 182
Output: b
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 154 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 176.50 , d ) rs . 258.50 , e ) none of these
Output: c
Problem: the hcf of two numbers is 50 and the other two factors of their lcm are 11 and 12 . what is the largest number . 
Options: a ) 462 , b ) 450 , c ) 480 , d ) 504 , e ) 600
Output: e
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: if 1 tic equals 4 tacs and 5 tacs equal 8 tocs , what is the ratio of one tic to one toc ? 
Options: a ) 15 / 2 , b ) 6 / 5 , c ) 5 / 6 , d ) 32 / 5 , e ) 1 / 15
Output: d
Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought less 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 ) 52 % , e ) 72 %
Output: d
Problem: of the diplomats attending a summit conference , 30 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 ) 20 , b ) 96 , c ) 108 , d ) 120 , e ) 150
Output: a
Problem: the l . c . m . of two numbers is 42 . the numbers are in the ratio 2 : 3 . then sum of the number is : 
Options: a ) 28 , b ) 32 , c ) 35 , d ) 53 , e ) 54
Output: c
Problem: in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: a
Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 80 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? 
Options: a ) 60 % , b ) 65 % , c ) 70 % , d ) 75 % , e ) 80 %
Output: c
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of q is less than the square root of q . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: how many different positive integers are factors of 196 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 49 , e ) 36
Output: d
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 5 . what could be the ratio of cats to dogs in the pet store ? 
Options: a ) 1 : 3 , b ) 20 : 25 , c ) 1 : 5 , d ) 2 : 5 , e ) 4 : 6
Output: b
Problem: the sum of the numbers is 177 . if the ratio between the first and the second be 5 : 3 and that between the second and third be 4 : 9 , then find the second number ? 
Options: a ) 12 , b ) 20 , c ) 45 , d ) 60 , e ) 52
Output: c
Problem: a certain high school has 500 students . of these students , 30 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: d
Problem: how many of the positive factors of 24 are not factors of 25 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5
Output: d
Problem: in a sports club with 35 members , 15 play badminton and 18 play tennis and 5 do not play either . how many members play both badminton and tennis ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: a
Problem: the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ? 
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9
Output: e
Problem: pants , shorts and shirts in a dresser are in the ratio of 7 : 7 : 10 . if there are 14 pants , the number of shirts in the dresser is : 
Options: a ) 14 , b ) 7 , c ) 20 , d ) 70 , e ) 35
Output: c
Problem: at the faculty of aerospace engineering , 302 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 444 , b ) 432 , c ) 346 , d ) 422 , e ) 448
Output: d
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 4 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? 
Options: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 58
Output: c
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 . 133 per kg , the price of the third variety per kg will be 
Options: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 155.50 , e ) none
Output: d
Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 3 / 8 is given by ? 
Options: a ) 7 / 98 , b ) 1 / 48 , c ) 1 / 98 , d ) 1 / 96 , e ) 3 / 42
Output: e
Problem: if w is the set of all the integers between 19 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 ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 54
Output: e
Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand r nor brand b soap , 60 used only brand r 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: if 0.10 of a number is equal to 0.070 of another number , the ratio of the numbers is : 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 7 : 10 , d ) 20 : 3 , e ) 30 : 7
Output: c
Problem: how many different positive integers are factors of 40 ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 6 , e ) 4
Output: d
Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 6 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15
Output: b
Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 3 : 2 : 4 , 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: b
Problem: a began business with rs . 45000 and was joined afterwards by b with rs . 27000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? 
Options: a ) 1 , b ) 6 , c ) 7 , d ) 8 , e ) 2
Output: e
Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 110 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? 
Options: a ) 11 / 48,000 , b ) 1 / 8,100 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45
Output: a
Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the value of log 5 512 is : 
Options: a ) 2.87 , b ) 2.965 , c ) 3.876 , d ) 3.9 , e ) 4.526
Output: c
Problem: income and expenditure of a person are in the ratio 10 : 8 . if the income of the person is rs . 10000 , then find his savings ? 
Options: a ) 2003 , b ) 2002 , c ) 2000 , d ) 2001 , e ) 2004
Output: c
Problem: in the class of 40 students , 30 speak hindi and 20 speak english . what is the lowest possible number of students who speak both the languages ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: a
Problem: in a group of 90 people , 55 have visited iceland and 33 have visited norway . if 51 people have visited both iceland and norway , how many people have visited neither country ? 
Options: a ) 50 , b ) 51 , c ) 52 , d ) 53 , e ) 54
Output: d
Problem: the ratio between the radii of two spheres is 1 : 3 . find the ratio between their volumes ? 
Options: ['a ) 1 : 28', 'b ) 1 : 27', 'c ) 1 : 29', 'd ) 1 : 39', 'e ) 1 : 22']
Output: b
Problem: two vessels contains equal number of mixtures milk and water in the ratio 4 : 1 and 7 : 3 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? 
Options: a ) 2 : 1 , b ) 4 : 1 , c ) 3 : 1 , d ) 2 : 3 , e ) 4 : 3
Output: c
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 60 . what is sum of the numbers ? 
Options: a ) 35 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Output: a
Problem: of the people who responded to a market survey , 240 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 6 to 1 , how many people responded to the survey ? 
Options: a ) 80 , b ) 160 , c ) 280 , d ) 360 , e ) 480
Output: c
Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 10 : 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 ) 4 / 10 , b ) 4 / 9 , c ) 6 / 5 , d ) 9 / 2 , e ) 6 / 4
Output: b
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 800 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 3 liters , what is the weight ( in kg ) of the mixture ? 
Options: a ) 3.84 , b ) 1.75 , c ) 3.52 , d ) 2.46 , e ) none of these
Output: d
Problem: a grocery store bought some mangoes at a rate of 4 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 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 ) 1 : 2 , e ) 1 : 2
Output: e
Problem: 1024 people in village 720 speak tamil , 562 speak english while 346 speak both . person who don not speack english or tamil speak hindi . what is probibility that person speak hindi 
Options: a ) 13 / 128 , b ) 12 / 128 , c ) 11 / 126 , d ) 11 / 127 , e ) 11 / 128
Output: e
Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 1 / 9 is given by ? 
Options: a ) 7 / 98 , b ) 1 / 48 , c ) 4 / 189 , d ) 1 / 96 , e ) 1 / 68
Output: c
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.6 per pound , and german chocolate cost $ 3 per pound . if the total the she spent on chocolate was $ 36 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 ) 15 , e ) 36 / 3
Output: e
Problem: 100 students appeared in 2 tests . 60 students passed 1 st test . 40 students passed in the 2 nd test . 20 students passed in both 1 and 2 tests . what is the probability of the students who failed in both tests ? 
Options: a ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %
Output: c
Problem: the marks obtained by vijay and amith are in the ratio 2 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? 
Options: a ) 6 : 8 , b ) 3 : 1 , c ) 6 : 5 , d ) 3 : 2 , e ) 3 : 5
Output: e
Problem: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be even ? 
Options: a ) 3 / 14 , b ) 2 / 7 , c ) 1 / 3 , d ) 1 / 2 , e ) 12 / 21
Output: a
Problem: in a graduating class of 234 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 ) 115 , c ) 113 , d ) 88 , e ) 31
Output: b
Problem: in a sports club with 42 members , 20 play badminton and 23 play tennis and 6 do not play either . how many members play both badminton and tennis ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: d
Problem: 9 log 9 ( 4 ) = ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: d
Problem: the ratio of numbers is 5 : 6 and their h . c . f is 4 . their l . c . m is : 
Options: a ) 12 , b ) 16 , c ) 24 , d ) 48 , e ) 120
Output: e
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 75 percent of the republicans and 15 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 ) 15 %
Output: a
Problem: a starts business with rs . 4500 and after 7 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 ) 16200 , d ) 9000 , e ) 2811
Output: c
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 14 and 15 . the larger of the two numbers is : 
Options: a ) 338 , b ) 278 , c ) 345 , d ) 231 , e ) 121
Output: c
Problem: in a certain corporation , there are 300 male employees and 100 female employees . it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 400 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? 
Options: a ) 1 / 20 , b ) 1 / 10 , c ) 1 / 5 , d ) 2 / 5 , e ) 3 / 4
Output: d
Problem: find the number of different prime factors of 6440 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: a
Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 20 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 ) 32 , d ) 20 , e ) 25
Output: c
Problem: a polling company found that , of 300 households surveyed , 120 spent at least $ 100 per month on both gasoline and electricity , 60 spent at least $ 100 per month on gasoline but not on electricity , and for every household that did not spend at least $ 100 per month on gasoline or electricity , 4 spent at least $ 100 per month on electricity but not on gasoline . how many of the 300 households did not spend at least $ 100 per month on either gasoline or electricity ? 
Options: a ) 24 , b ) 30 , c ) 36 , d ) 90 , e ) 96
Output: a
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 18 boys and 42 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: c
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 148 cookies , what percent of the cookies did irin bake ? 
Options: a ) 0.125 % , b ) 1.25 % , c ) 56 % , d ) 125 % , e ) 0.152 %
Output: c
Problem: a certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 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 ) 42232 , b ) 42170 , c ) 14008 , d ) 16510 , e ) 41160
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 6 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 ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Output: e