niryuu/sni-each-converted huggingface dataset:
Problem: a group of people participate in some curriculum , 25 of them practice yoga , 18 study cooking , 10 study weaving , 4 of them study cooking only , 5 of them study both the cooking and yoga , 4 of them participate all curriculums . how many people study both cooking and weaving ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: e
Problem: the h . c . f . of two numbers is 30 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 ) 420 , d ) 345 , e ) 365
Output: c
Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 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 ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120
Output: a
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 7 : 3 . if 70 % of the toyota bought and 30 % 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 ) 76 % , b ) 58 % , c ) 68 % , d ) 89 % , e ) 49 %
Output: b
Problem: what is the prime factors ’ number of 28 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: b
Problem: there are 22 kids in a classroom . 12 kids are wearing socks and 8 are wearing shoes . 6 kids are wearing both . how many are bare feet ? 
Options: a ) 10 , b ) 2 , c ) 4 , d ) 5 , e ) 8
Output: e
Problem: in a group of 8 engineers , 3 engineers have a phd degree ; the others have only an ms or bs degree . a team of 3 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ? 
Options: a ) 56 , b ) 46 , c ) 64 , d ) 65 , e ) 10
Output: b
Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 14 th highest price and the 21 st lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 33 , b ) 34 , c ) 35 , d ) 36 , e ) 37
Output: b
Problem: out of 470 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 ) 80 , b ) 150 , c ) 100 , d ) 180 , e ) 220
Output: a
Problem: x starts a business with rs . 77000 . y joins in the business after 5 months with rs . 42000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 21 : 23 , b ) 23 : 45 , c ) 22 : 7 , d ) 25 : 29 , e ) none of these
Output: c
Problem: the value of log 5 ( 1 / 125 ) is 
Options: a ) 3 , b ) - 3 , c ) 1 / 3 , d ) - 1 / 3 , e ) none
Output: b
Problem: the ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325 . the value of n is 
Options: ['a ) 15', 'b ) 25', 'c ) 35', 'd ) 30', 'e ) none of these']
Output: b
Problem: divide $ 300 among a , b in the ratio 1 : 2 . how many $ that a get ? 
Options: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 100
Output: e
Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 14 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: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability q that the both positions will be taken by members of just one party ? 
Options: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2
Output: d
Problem: find the ratio between 1 hr 30 minutes and 2 hrs 40 minutes . 
Options: a ) 9 : 16 , b ) 5 : 9 , c ) 12 : 17 , d ) 13 : 24 , e ) none of these
Output: a
Problem: three numbers are in the ratio of 3 : 4 : 6 and their product is 1944 . the largest of these numbers is 
Options: a ) 6 , b ) 12 , c ) 18 , d ) 26 , e ) 28
Output: c
Problem: in a class , 7 students like to play basketball and 8 like to play cricket . 5 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? 
Options: a ) 10 , b ) 15 , c ) 16 , d ) 18 , e ) 22
Output: a
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 390 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 ) 84 , b ) 96 , c ) 104 , d ) 112 , e ) 120
Output: c
Problem: a student committee on academic integrity has 30 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 11
Output: d
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 222 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 ) 404 , b ) 452 , c ) 444 , d ) 468 , e ) 422
Output: e
Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.50 , what total number of apples and bananas did the customer purchase ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: b
Problem: the ratio of boarders to day students at a school was originally 2 to 5 . however , after a number of new boarders join the initial 60 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? 
Options: a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30
Output: b
Problem: if 80 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 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: a
Problem: what is the square root of 144 , divided by 6 ? 
Options: a ) 9 , b ) 36 , c ) 2 , d ) 6 , e ) 1
Output: c
Problem: the ratio of 2 numbers is 10 : 20 and their h . c . f . is 100 . their l . c . m . is ? 
Options: a ) 1100 , b ) 3000 , c ) 2100 , d ) 1000 , e ) 2000
Output: e
Problem: a began business with rs . 36000 and was joined afterwards by b with rs . 54000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? 
Options: a ) 1 , b ) 6 , c ) 7 , d ) 8 , e ) 2
Output: d
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 d women are currently in the room ? 
Options: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36
Output: d
Problem: in a school 10 % of the boys are same in number as 1 / 6 th of the girls . what is the ratio of boys to the girls in the school ? 
Options: a ) 5 : 3 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5
Output: a
Problem: a class of boys stands in a single line , one boy is 19 th in order from both the ends , how many boys are there in the class ? 
Options: a ) 37 , b ) 38 , c ) 27 , d ) 29 , e ) 11
Output: a
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 4 : 3 . the sum of numbers is : 
Options: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: a
Problem: there are 9 executives , including the ceo and cfo , that are asked to form a small team of 5 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? 
Options: a ) 85 , b ) 87 , c ) 89 , d ) 91 , e ) 93
Output: d
Problem: the ratio of 2 numbers is 1 : 2 and their h . c . f . and l . c . m are 10 and 20 . find the numbers . 
Options: a ) 20 , 10 , b ) 10 , 20 , c ) 20 , 30 , d ) 30 , 20 , e ) 10 , 10
Output: b
Problem: at a meeting , 25 attendants used a pencil and 15 attendants used a pen . if exactly 20 attendants used only one of the two types of writing tools , how many attendants wrote with both types of writing tools ? 
Options: a ) 10 , b ) 6 , c ) 7 , d ) 4 , e ) 14
Output: a
Problem: if shares of two persons in profits are rs . 400 and rs . 800 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2
Output: e
Problem: among 400 students , 51 % study sociology , 46 % study mathematics and 40 % study biology . if 34 % 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 ) 148 , d ) 172 , e ) 188
Output: c
Problem: the triplicate ratio of 2 : 4 is ? 
Options: a ) 1 : 64 , b ) 1 : 8 , c ) 1 : 34 , d ) 3 : 64 , e ) 5 : 64
Output: b
Problem: find the fraction which has the same ratio to 1 / 2 that 2 / 5 has to 3 / 7 
Options: a ) 1 / 2 , b ) 2 / 12 , c ) 14 / 30 , d ) 3 / 8 , e ) 7 / 9
Output: c
Problem: 75 persons major in physics , 83 major in chemistry , 10 not at major in these subjects u want to find number of students majoring in both subjects 
Options: a ) 65 , b ) 66 , c ) 67 , d ) 68 , e ) 69
Output: d
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 2.5 per pound , and german chocolate cost $ 1.5 per pound . if the total the she spent on chocolate was $ 30 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? 
Options: a ) 7 , b ) 18 , c ) 10 , d ) 12 , e ) 11
Output: b
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 2 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 ) 16 , c ) 32 , d ) 56 , e ) 58
Output: b
Problem: if log 0.318 = 0.3364 and log 0.317 = 0.33320 then log 0.319 = ? 
Options: a ) 0.33365 , b ) 0.3368 , c ) 0.3396 , d ) 0.3369 , e ) 0.3469
Output: c
Problem: at an m & m factory , two types of m & ms are produced , red and blue . the m & ms are transported individually on a conveyor belt . anna is watching the conveyor belt , and has determined that 4 out of every 5 red m & ms are followed by a blue one , while one out of every 6 blue m & ms is followed by a red one . what proportion of the m & ms are red ? 
Options: a ) 1 / 29 , b ) 2 / 29 , c ) 3 / 29 , d ) 4 / 29 , e ) 5 / 29
Output: e
Problem: in what ratio must tea at rs . 60 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 63 per kg ? 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 7 : 3 , e ) none
Output: d
Problem: a starts business with rs . 3500 and after 9 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 ) 21000 , e ) 2811
Output: d
Problem: a bag holds 5 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? 
Options: a ) 1 / 6 , b ) 2 / 5 , c ) 3 / 10 , d ) 2 / 9 , e ) 1 / 2
Output: d
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 6 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 ) 48 , e ) 58
Output: d
Problem: how many prime numbers between 1 and 100 are factors of 67830 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 2
Output: c
Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many w acres were used for corn ? 
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
Output: c
Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ? 
Options: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3
Output: a
Problem: there are 600 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 ) 243 , b ) 265 , c ) 375 , d ) 390 , e ) 400
Output: c
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 17000 , then find his savings ? 
Options: a ) 3600 , b ) 3400 , c ) 3608 , d ) 3602 , e ) 3603
Output: b
Problem: if the numbers 1 to 99 are written on 99 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 / 99 , d ) 1 , e ) 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 5 / 6 , what is the probability that it will get both the contracts ? 
Options: a ) 7 / 30 , b ) 11 / 40 , c ) 17 / 50 , d ) 19 / 60 , e ) 33 / 80
Output: d
Problem: a certain bag contains 60 balls — 22 white , 18 green , 5 yellow , 6 red , and 9 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.75 , e ) 0.91
Output: d
Problem: what is the square root of 81 ? 
Options: a ) 2 , b ) 8 , c ) 12 , d ) 9 , e ) 16
Output: d
Problem: in what ratio must rice of rs . 25 per kg be mixed with rice of rs . 12 per kg so that cost of mixture is rs . 20 per kg ? 
Options: a ) 8 : 5 , b ) 5 : 8 , c ) 20 : 25 , d ) 12 : 20 , e ) 25 : 12
Output: a
Problem: two numbers are in the ratio of 5 : 7 . if 25 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ? 
Options: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91
Output: b
Problem: a certain quantity of 60 % 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 ) 5 / 7
Output: e
Problem: at a certain company , two - thirds of the employees had cell phones and two - fifths had pagers . if one - third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers ? 
Options: a ) 7 / 5 , b ) 6 / 11 , c ) 2 / 5 , d ) 1 / 3 , e ) 4 / 15
Output: c
Problem: the rational number for recurring decimal 0.125125 . . . . is : 
Options: a ) 125 / 990 , b ) 125 / 999 , c ) 125 / 900 , d ) 12 / 999 , e ) 12 / 990
Output: b
Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 11 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 385
Output: e
Problem: the ratio of pens to pencils is 5 to 6 . there are 5 more pencils than pens . how many pencils are there ? 
Options: a ) 24 , b ) 30 , c ) 36 , d ) 42 , e ) 48
Output: b
Problem: a cat leaps 5 leaps for every 4 leaps of a dog , but 3 leaps of the dog are equal to 4 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? 
Options: a ) 11 : 15 , b ) 15 : 11 , c ) 16 : 15 , d ) 15 : 16 , e ) 11 : 16
Output: d
Problem: if a and b are in the ratio 3 : 4 , and b and c in the ratio 12 : 13 , then a and c will be in the ratio 
Options: a ) 3 : 13 , b ) 9 : 13 , c ) 36 : 13 , d ) 13 : 9 , e ) none
Output: b
Problem: two numbers are in the ratio of 1 : 2 . if 7 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: c
Problem: in a class of 40 students , 10 did not opt for math . 15 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 13 , b ) 15 , c ) 7 , d ) 17 , e ) 18
Output: c
Problem: if log 2 = 0.30103 , the number of digits in 2128 is . 
Options: a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 56
Output: b
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 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 w of liquid a was contained by the can initially ? 
Options: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27
Output: c
Problem: the compound ratio of 1 : 2 , 2 : 5 and 3 : 10 ? 
Options: a ) 1 : 2 , b ) 1 : 5 , c ) 3 : 5 , d ) 1 : 50 , e ) 3 : 50
Output: e
Problem: share rs . 6000 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 900 , b ) 980 , c ) 1200 , d ) 1240 , e ) 2000
Output: e
Problem: if the ratio of s . i earned on certain amount on same rate is 4 : 5 . what is the ratio of time ? 
Options: a ) 1 : 2 , b ) 6 : 9 , c ) 4 : 5 , d ) 2 : 3 , e ) not possible to calculate
Output: c
Problem: a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 225
Output: e
Problem: the ratio of the present age of viju to that of aju is 7 : 2 . 4 years from now , the ratio of the ages of viju to aju will be 5 : 2 . what was viju age 5 years ago ? ( rbi assistant 2015 ) 
Options: a ) 24 , b ) 18 , c ) 12 , d ) 16 , e ) 13
Output: d
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? 
Options: a ) 3.84 , b ) 1.75 , c ) 3.52 , d ) 2.72 , e ) none of these
Output: c
Problem: a group of people participate in some curriculum , 25 of them practice yoga , 15 study cooking , 8 study weaving , 2 of them study cooking only , 7 of them study both the cooking and yoga , 3 of them participate all curriculums . how many people study both cooking and weaving ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number i 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: in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability q this college graduate has a graduate degree ? 
Options: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43
Output: d
Problem: a shipment of 250 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 ? a . b . c . d . e . 
Options: a ) 1 / 250 , b ) 1 / 84 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3
Output: d
Problem: how many of the positive factors of 14 are not factors of 21 ? 
Options: a ) 4 , b ) 3 , c ) 1 , d ) 2 , e ) 0
Output: c
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 30 years . what is deepak present age ? 
Options: a ) 18 , b ) 15 , c ) 77 , d ) 266 , e ) 182
Output: a
Problem: the triplicate ratio of 1 : 5 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 125
Output: e
Problem: if 75 percent of a class answered the first question on a certain test correctly , 30 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 ) 25 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 65 %
Output: a
Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand e nor brand b soap , 60 used only brand e 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 the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 4 , what is the ratio of apples to cucumbers ? 
Options: a ) 1 : 3 , b ) 2 : 5 , c ) 3 : 5 , d ) 5 : 8 , e ) 4 : 7
Output: d
Problem: the ratio of two quantities is 3 to 4 . if each of the quantities is increased 4 and 3 respectively , what is the ratio of these two new quantities ? 
Options: a ) 3 / 4 , b ) 8 / 9 , c ) 18 / 19 , d ) 23 / 24 , e ) it can not be determined from the information given
Output: e
Problem: the compound ratio of 5 : 6 , 5 : 2 and 4 : 5 ? 
Options: a ) 1 : 1 , b ) 5 : 3 , c ) 1 : 6 , d ) 1 : 9 , e ) 1 : 2
Output: b
Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 36 / 49 . how many marbles are in the bag ? 
Options: a ) 24 , b ) 48 , c ) 84 , d ) 72 , e ) 80
Output: c
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 22 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 8
Output: d
Problem: the compound ratio of 1 : 2 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 3 : 5 , e ) 1 : 4
Output: d
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 12 . the larger of the two numbers is : 
Options: a ) 276 , b ) 295 , c ) 322 , d ) 345 , e ) 354
Output: a
Problem: in a group of 6 boys & 4 girls a committee of 4 persons is to be formed . in how many different ways can it be done so that the committee has at least 1 girl ? 
Options: a ) 187 , b ) 190 , c ) 192 , d ) 195 , e ) 213
Output: d
Problem: how many terminating zeroes w does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
Output: c
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 510 kilograms of pears that day , how many kilograms did he sell in the afternoon ? 
Options: a ) 120 , b ) 180 , c ) 340 , d ) 280 , e ) 320
Output: c
Problem: ashley paid 5 dollars for 1 notebook and 1 pencil . if both prices were integers , how many pencils did ashley buy if she paid 93 dollars for the pencils and for 15 notebooks ? 
Options: a ) 6 . , b ) 16 . , c ) 18 , d ) 21 , e ) 26
Output: d
Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 17000 , then find the annual income of a ? 
Options: a ) rs . 571200 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these
Output: a
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 300 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: d
Problem: if shares of two persons in profits are rs . 700 and rs . 300 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 7 : 3 , d ) 1 : 3 , e ) 1 : 5
Output: c
Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 15 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 4 / 5 , e ) 2 / 15
Output: d
Problem: which digits should come in place of @ and # if the number 62684 @ # is divisible by both 8 and 5 ? 
Options: a ) 4,0 , b ) 0,4 , c ) 4,4 , d ) 0,0 , e ) none
Output: a
Problem: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 22 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: what is the ratio of arun ' s monthly income in the year 2006 , suman ' s monthly income in the year 2007 and jyothi ' s monthly income in the year 2005 ? 
Options: a ) 22 , b ) 67 , c ) 26 , d ) 18 , e ) 16
Output: a
Problem: a certain bag contains 60 balls — 22 white , 18 green , 8 yellow , 5 red , and 7 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.09 , b ) 0.15 , c ) 0.54 , d ) 0.8 , e ) 0.91
Output: d
Problem: in what ratio water be mixed with milk costing rs . 12 per liter to obtain a mixture worth of rs . 8 per litre ? 
Options: a ) 2 : 7 , b ) 1 : 2 , c ) 2 : 9 , d ) 2 : 2 , e ) 2 : 6
Output: b
Problem: what number has a 5 : 1 ratio to the number 10 ? 
Options: a ) 74 , b ) 50 , c ) 94 , d ) 59 , e ) 48
Output: b
Problem: veena ranks 79 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 ) 88 , b ) 108 , c ) 82 , d ) 90 , e ) 93
Output: c
Problem: a bag contains 5 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 ) 19 / 39
Output: e
Problem: if p and q are both odd prime numbers andp < q , then how many different positive integer factors does 2 pqhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
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 5 for a dollar and the other at a rate of 5 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 : 1 , b ) 1 : 5 , c ) 2 : 3 , d ) 1 : 2 , e ) 2 : 5
Output: a
Problem: how many factors of 880 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: a person want to give his money of $ 3600 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? 
Options: a ) $ 2000 , b ) $ 1200 , c ) $ 2500 , d ) $ 1800 , e ) $ 1600
Output: b
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 2 : 3 . the sum of numbers is ? 
Options: a ) 22 , b ) 67 , c ) 40 , d ) 88 , e ) 11
Output: c
Problem: the ratio of the number of females to males at a party was 1 : 2 but when 6 females and 6 males left , the ratio became 1 : 3 . how many people were at the party originally ? 
Options: a ) 24 , b ) 28 , c ) 32 , d ) 36 , e ) 40
Output: d
Problem: a college has classes from 10 : 00 am until 1 : 40 pm . in this duration , there are 5 periods . if 5 minutes are provided between each period to leave one class and enter the next class , how many minutes long is each period ? 
Options: a ) 38 min , b ) 41 min , c ) 40 min , d ) 42 min , e ) 52 min
Output: c
Problem: two numbers are in respectively 10 % and 40 % more than a third number . the ratio of the two numbers is ? 
Options: a ) 11 : 14 , b ) 7 : 9 , c ) 17 : 25 , d ) 15 : 26 , e ) 2 : 3
Output: a
Problem: in a college , the ratio of the number of boys to girls is 8 : 4 . if there are 200 girls , the total number of students in the college is 
Options: a ) 420 , b ) 520 , c ) 600 , d ) 720 , e ) 820
Output: c
Problem: a person want to give his money of $ 1000 to his 4 children a , b , c , d in the ratio 2 : 4 : 3 : 1 . what is the a + d share ? 
Options: a ) $ 100 , b ) $ 200 , c ) $ 300 , d ) $ 500 , e ) $ 600
Output: c
Problem: of the 200 stamps in a collection , 90 are foreign and 60 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? 
Options: a ) 50 , b ) 70 , c ) 100 , d ) 130 , e ) 150
Output: b
Problem: the compound ratio of 5 : 6 , 3 : 2 and 6 : 5 ? 
Options: a ) 1 : 1 , b ) 1 : 87 , c ) 1 : 6 , d ) 3 : 2 , e ) 1 : 2
Output: d
Problem: praveen starts business with rs . 3780 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 . 9720 , e ) s . 6000
Output: d
Problem: find the probability that the number drawn is a factor of 50 . 
Options: a ) 1 / 25 , b ) 1 / 50 , c ) 3 / 25 , d ) 3 / 50 , e ) 7 / 50
Output: d
Problem: a starts business with rs . 3500 and after 8 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 ) 15750 , e ) 2811
Output: d
Problem: the duplicate ratio of 4 : 5 is ? 
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 16 : 25
Output: e
Problem: sandy is younger than molly by 12 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? 
Options: a ) 36 , b ) 45 , c ) 54 , d ) 63 , e ) 72
Output: c
Problem: into a room you store 38 black bottles and 4 green bottles , and you turn off the light . if you ask to someone look for 2 bottles without turn on the light , what is the probability of both the selected bottles will be green ? 
Options: a ) 1 / 574 , b ) 2 / 574 , c ) 1 / 287 , d ) 2 / 287 , e ) 3 / 287
Output: d
Problem: in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 20 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ? 
Options: a ) 75 , b ) 25 , c ) 30 , d ) 45 , e ) 60
Output: a
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 11 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 2400
Output: e
Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 4 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 ) 3 / 4 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15
Output: a
Problem: each factor of 230 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: d
Problem: in a sports club with 30 members , 17 play badminton and 19 play tennis and 3 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: c
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 2 : 1 , 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 ) 9 : 5
Output: e
Problem: a jar contains a mixture of two liquids acid ( nitric acid ) and base ( ammonium chloride ) in the ratio 4 : 1 . when 10 litres of the mixture is taken out and 10 litres of liquid base is poured into the jar , the ratio becomes 2 : 3 . how many litres of liquid acid was contained in the jar ? 
Options: a ) 14 lts , b ) 18 lts , c ) 20 lts , d ) 16 lts , e ) 26 lts
Output: d
Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ 
Options: a ) 0.45 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6
Output: c
Problem: the ratio between speed of the two trains is 7 : 8 . if the 2 nd train runs 400 km in 4 hrs , what is the speed of the 1 st train ? 
Options: a ) 87.9 , b ) 87.5 , c ) 87.7 , d ) 87.6 , e ) 43.3
Output: b
Problem: if the ratio of apples to bananas is 3 to 2 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? 
Options: a ) 2 : 3 , b ) 1 : 2 , c ) 3 : 5 , d ) 2 : 5 , e ) 5 : 6
Output: b
Problem: if shares of two persons in profits are rs . 1600 and rs . 1200 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2
Output: c
Problem: the l . c . m . of two numbers is 36 . the numbers are in the ratio 2 : 3 . then sum of the number is : 
Options: a ) 28 , b ) 30 , c ) 40 , d ) 53 , e ) 54
Output: b
Problem: find the number of different prime factors of 25650 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: a
Problem: in a group of 100 people , 60 like volleyball , 50 like hockey . how many like both volleyball and hockey ? 
Options: a ) 20 , b ) 15 , c ) 10 , d ) 5 , e ) 25
Output: c
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 40 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: a
Problem: income and expenditure of a person are in the ratio 9 : 8 . if the income of the person is rs . 36000 , then find his savings ? 
Options: a ) 2000 , b ) 3000 , c ) 4000 , d ) 5000 , e ) 6000
Output: c
Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 116 kilograms . what is the student ' s present weight in kilograms ? 
Options: a ) 76 , b ) 77 , c ) 78 , d ) 79 , e ) 80
Output: d
Problem: if 27.5 % 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 ) 638 , b ) 330 , c ) 550 , d ) 430 , e ) 880
Output: a
Problem: rajat , vikas and abhishek are submitting questions in the ratio 7 : 3 : 2 . if total number of questions submitted by them is 24 . find the number of questions submitted by vikas . 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: d
Problem: pencils , pens and exercise books in a shop are in the ratio of 14 : 4 : 3 . if there are 140 pencils , the number of exercise books in the shop is : 
Options: a ) 30 , b ) 27 , c ) 35 , d ) 33 , e ) 37
Output: a
Problem: what is the square root of 83,521 ? 
Options: a ) 476 , b ) 489 , c ) 289 , d ) 511 , e ) 311
Output: c
Problem: the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 330 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? 
Options: a ) 48 , b ) 66 , c ) 72 , d ) 80 , e ) 84
Output: b
Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 30 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 ) 48 , c ) 16 , d ) 20 , e ) 25
Output: b
Problem: a certain fraction has the same ratio to 1 / 36 , as 4 / 7 does to 5 / 9 . what is this certain fraction ? 
Options: a ) 1 / 35 , b ) 1 / 42 , c ) 1 / 49 , d ) 1 / 56 , e ) 1 / 63
Output: a
Problem: in what ratio should a variety of rice costing rs . 4.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? 
Options: a ) 5 / 6 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 3 , e ) 5 / 12
Output: e
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 15 and 16 . the larger of the two numbers is : 
Options: a ) 338 , b ) 278 , c ) 322 , d ) 368 , e ) 121
Output: d
Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 16 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? 
Options: a ) 1 / 10 , b ) 13 / 50 , c ) 1 / 2 , d ) 7 / 10 , e ) 9 / 10
Output: b
Problem: the ratio between the sale price and the cost price of an article is 4 : 3 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 9 , b ) 2 : 5 , c ) 3 : 6 , d ) 2 : 0 , e ) 1 : 3
Output: e
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 7 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) rs 1200 , b ) rs 1500 , c ) rs 1600 , d ) rs 1900 , e ) rs 1700
Output: a
Problem: there are 437 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 ) 253 , c ) 57 , d ) 171 , e ) 181
Output: b
Problem: the ratio between the sale price and the cost price of an article is 9 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 23 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 5 , e ) 25
Output: c
Problem: at the faculty of aerospace engineering , 312 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 ) 424 . , b ) 428 . , c ) 430 . , d ) 432 . , e ) 436
Output: d
Problem: a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 175 , d ) 165 , e ) 315
Output: c
Problem: a man invests some money partly in 4 % stock at 48 and partly in 10 % stock at 110 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 5 , d ) 6 : 5 , e ) none
Output: d
Problem: find the ratio in which rice at rs . 7.10 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? 
Options: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) none of these
Output: c
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 , 36 have long fur , 27 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? 
Options: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6
Output: a
Problem: a certain hobby shop sold model cars for $ 5.00 each and model trains for $ 8.00 each . if a customer purchased both cars and trains from the store for a total of $ 31.00 , what total number of cars and trains did the customer purchase ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: c
Problem: in a sports club with 40 members , 20 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 ) 3
Output: e
Problem: m is 30 % of q . q is 20 % of p . n is 50 % of p . find m : n ratio 
Options: a ) 1 : 25 , b ) 2 : 25 , c ) 3 : 25 , d ) 4 : 25 , e ) 5 : 25
Output: c
Problem: divide $ 450 among a , b in the ratio 1 : 4 . how many $ that a get ? 
Options: a ) $ 90 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600
Output: a
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age ? 
Options: a ) 22 , b ) 15 , c ) 77 , d ) 266 , e ) 182
Output: b
Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 12 of her stamps , the ration of the number of kaye had to the number of alberto had was 8 : 6 . as a result of the gift , kaye had how many more stamps than alberto ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 32 , e ) 90
Output: d
Problem: in a school the ratio of boys and girls are in the ration 5 : 6 . 25 % of boys will get scholar ship and 20 % of girls will get scholar ship what % of students wont get scholarship ? 
Options: a ) 60 % , b ) 78 % , c ) 88 % , d ) 98 % , e ) 99 %
Output: b
Problem: of the people who responded to a market survey , 200 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 4 to 1 , how many people responded to the survey ? 
Options: a ) 80 , b ) 160 , c ) 250 , d ) 350 , e ) 480
Output: c
Problem: the dimensions of a field are 20 m by 5 m . a pit 10 m long , 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? 
Options: a ) 1 m , b ) 5 m , c ) 4 m , d ) 2 m , e ) 3 m
Output: d
Problem: the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 90 black cars in the lot , how many red cars are there in the lot ? 
Options: a ) 11 , b ) 33 , c ) 24 , d ) 27 , e ) 32
Output: b
Problem: the ratio between the sale price and the cost price of an article is 12 : 7 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 9 , b ) 2 : 5 , c ) 3 : 6 , d ) 5 : 7 , e ) 2 : 1
Output: d
Problem: income and expenditure of a person are in the ratio 10 : 4 . if the income of the person is rs . 19000 , then find his savings ? 
Options: a ) 79754 , b ) 87689 , c ) 59875 , d ) 11400 , e ) 87648
Output: d
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 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 t of liquid a was contained by the can initially ? 
Options: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27
Output: c
Problem: a factory produces 1 defective bulb out of 10 bulbs a yr . if it produces 870 bulbs a yr , how many defective bulbs are produced ? 
Options: a ) 84 , b ) 85 , c ) 86 , d ) 87 , e ) 88
Output: d
Problem: there are 720 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? 
Options: a ) 320 , b ) 345 , c ) 450 , d ) 380 , e ) 400
Output: c
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 4 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 63
Output: d
Problem: two numbers are in ratio 4 : 5 and their lcm is 180 . the smaller number is 
Options: a ) 9 , b ) 15 , c ) 36 , d ) 45 , e ) none
Output: c
Problem: what is the ratio whose term differ by 40 and the measure of which is 2 / 7 ? 
Options: a ) 32 : 23 , b ) 16 : 56 , c ) 71 : 85 , d ) 32 : 39 , e ) 41 : 52
Output: b
Problem: in a group of 6 boys and 4 girls are to be selected . in how many different ways can they be selected such that at least one boy should be there ? 
Options: a ) 209 , b ) 200 , c ) 210 , d ) 225 , e ) 221
Output: a
Problem: the hcf of two numbers is 23 and the other two factors of their lcm are 13 and 14 . what is the largest number ? 
Options: a ) 280 , b ) 284 , c ) 292 , d ) 320 , e ) 322
Output: e
Problem: in a ratio which is equal to 2 : 4 , if the antecedent is 50 , then the consequent is ? 
Options: a ) 72 , b ) 85 , c ) 100 , d ) 51 , e ) 80
Output: c
Problem: what is the square root of 16 , divided by 2 ? 
Options: a ) 9 , b ) 2 , c ) 122 , d ) 6 , e ) 1
Output: b
Problem: assisants are needed to prepare for preparation . each helper can make either 2 large cakes or 35 small cakes / hour . the kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed . how many helpers are required ? 
Options: a ) 9 , b ) 10 , c ) 13 , d ) 16 , e ) 18
Output: b
Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 66 years . what is molly ' s age right now ? 
Options: a ) 15 years , b ) 35 years , c ) 25 years , d ) 45 years , e ) 55 years
Output: d
Problem: in a group of 100 cars , 37 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? 
Options: a ) 45 , b ) 47 , c ) 48 , d ) 49 , e ) 53
Output: d
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 q 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: if two dice are thrown together , the probability of getting a square number on both the dice is 
Options: a ) 5 / 12 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 12 , e ) 2 / 3
Output: d
Problem: the price ratio of oranges to lemons is 2 : 3 . the price ratio of grapefruits to lemons is 3 : 5 . what is the ratio , by price , of grapefruit to oranges ? 
Options: a ) 18 : 20 , b ) 10 : 9 , c ) 2 : 5 , d ) 5 : 2 , e ) 3 : 2
Output: a
Problem: the ratio of flour to water to sugar in a recipe is 11 : 8 : 1 . 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 4 cups of water , how much sugar is required ? 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Output: d
Problem: the triplicate ratio of 1 : 3 is ? 
Options: a ) 1 : 27 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2
Output: a
Problem: if $ 935 are divided between worker a and worker b in the ratio 5 : 12 , what is the share that worker b will get ? 
Options: a ) 62.15 % , b ) 64.26 % , c ) 66.37 % , d ) 68.48 % , e ) 70.59 %
Output: e