niryuu/sni-each-converted huggingface dataset:
Problem: solution a is 20 % barium and solution b is 80 % barium . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % barium solution ? 
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 7
Output: c
Problem: the ratio of football players , baseball players , soccer players , and basketball players in a school is 10 : 7 : 5 : 4 . how many athletes are in the school if 16 players are on the basketball team ? 
Options: a ) 40 , b ) 92 , c ) 104 , d ) 208 , e ) 80
Output: c
Problem: which number is a factor of 20 ? 
Options: a ) 3 , b ) 4 , c ) 7 , d ) 18 , e ) 9
Output: b
Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 143 per kg , the price of the third variety per kg will be 
Options: a ) rs . 165.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 180 , e ) none
Output: a
Problem: how many factors does 16 ^ 2 have ? 
Options: a ) 2 , b ) 8 , c ) 4 , d ) 25 , e ) 26
Output: c
Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? 
Options: a ) 65 , b ) 68 , c ) 70 , d ) 77 , e ) 80
Output: d
Problem: in a class of 60 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? 
Options: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 54
Output: a
Problem: the price of rice is reduced by 2 % . how many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier ? 
Options: a ) 48 kg , b ) 49 kg , c ) 50 kg , d ) 51 kg , e ) none
Output: c
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 of liquid a was contained by the can initially ? 
Options: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27
Output: c
Problem: one bacterium splits into 8 bacteria of the next generation . but due to environment , only 50 % of one generation can produced the next generation . if the seventh generation number is 4096 million , what is the number in first generation ? 
Options: a ) 1 million , b ) 2 million , c ) 4 million , d ) 8 million , e ) none of these
Output: a
Problem: a bag contains 21 toys numbered 1 to 21 . a toy is drawn and then another toy is drawn without replacement . find the probability that both toys will show even numbers . 
Options: a ) 5 / 21 , b ) 9 / 42 , c ) 6 / 22 , d ) 4 / 21 , e ) 3 / 21
Output: b
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is 3 times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 2 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Output: b
Problem: if both 7 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? 
Options: a ) 99 , b ) 147 , c ) 363 , d ) 1200 , e ) 1625
Output: b
Problem: the cost of 3 pens and 5 pencils is rs . 260 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? 
Options: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 780 , e ) none of these
Output: d
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 153 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 175.50 , d ) rs . 258.50 , e ) none of these
Output: c
Problem: if shares of two persons in profits are rs . 300 and rs . 500 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 5
Output: b
Problem: two numbers are in the ratio 3 : 5 . if 9 is subtracted from each , the new numbers are in the ratio 12 : 23 . the smaller number is : 
Options: a ) 15 , b ) 33 , c ) 58 , d ) 56 , e ) 91
Output: b
Problem: if shares of two persons in profits are rs . 300 and rs . 600 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 2
Output: e
Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 10 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? 
Options: a ) 1 / 5 , b ) 5 / 15 , c ) 6 / 15 , d ) 3 / 10 , e ) 4 / 15
Output: c
Problem: a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 138 , b ) 140 , c ) 142 , d ) 145 , e ) 148
Output: b
Problem: a cat leaps 6 leaps for every 5 leaps of a dog , but 2 leaps of the dog are equal to 3 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ? 
Options: a ) 4 : 5 , b ) 2 : 3 , c ) 4 : 1 , d ) 1 : 9 , e ) 3 : 2
Output: a
Problem: the ratio of three numbers is 5 : 3 : 4 and their sum is 108 . the second number of the three numbers is ? 
Options: a ) 23 , b ) 27 , c ) 30 , d ) 32 , e ) 34
Output: b
Problem: the ratio of the adjacent angles of a parallelogram is 8 : 10 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
Options: a ) 168 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) 164 °
Output: e
Problem: between 100 to 200 how many no are divisible by both 3 and 2 and 100,200 are inclusive ? 
Options: a ) 77 , b ) 78 , c ) 79 , d ) 80 , e ) 81
Output: c
Problem: find the number of different prime factors of 2400 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: c
Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 5 : 4 : 2 . someone removes 7 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: b
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12 . if the shop carries 375 dogs and bunnies total in stock , how many dogs are there ? 
Options: a ) 42 , b ) 66 , c ) 75 , d ) 112 , e ) 154
Output: c
Problem: if w and y are both odd prime numbers and w < y , how many distinct positive integer factors does 2 wy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
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 75 black cars in the lot , how many red cars are there in the lot ? 
Options: a ) 11 , b ) 28 , c ) 24 , d ) 29 , e ) 32
Output: b
Problem: in a group of 6 boys and 4 girls , four children are to be selected . in how many different ways can they be selected ? 
Options: a ) 159 , b ) 194 , c ) 210 , d ) 209 , e ) 166
Output: c
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of hydrogen are there in 171 grams of water ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19
Output: e
Problem: each person in a group of 110 investors has investments in either equities or securities or both . exactly 25 of the investors in equities have investments in securities , and exactly 40 of the investors in securities have investments in equities . how many have investments in equities ? 
Options: a ) 65 , b ) 80 , c ) 120 , d ) 180 , e ) 190
Output: b
Problem: ratio between rahul and deepak is 4 : 3 , after 10 years rahul age will be 26 years . what is deepak present age . 
Options: a ) 12 , b ) 15 , c ) 20 , d ) 22 , e ) 24
Output: a
Problem: find the fraction which has the same ratio to 1 / 13 that 5 / 34 has to 7 / 48 . 
Options: a ) 110 / 1547 , b ) 120 / 1547 , c ) 140 / 1547 , d ) 160 / 1547 , e ) 220 / 1547
Output: b
Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many y acres were used for corn ? 
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
Output: c
Problem: half of the workers in palabras bookstore have read the latest book by j . saramago , and 1 / 6 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 42 workers in the palabras bookstore , how many of them have read both books ? 
Options: a ) 3 , b ) 12 , c ) 9 , d ) 8 , e ) 7
Output: a
Problem: one fast typist type some matter in 2 hrs and another slow typist type the same matter in 3 hrs . if both do combine in how much time they will take to finish . 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: c
Problem: if log 1087.5 = 2.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 30 , b ) 28 , c ) 27 , d ) 26 , e ) 40
Output: e
Problem: there are 15 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are to be chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? 
Options: a ) 1 / 3 , b ) 7 / 22 , c ) 1 / 9 , d ) 7 / 66 , e ) 2 / 45
Output: d
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 . 67.5 per kg ? 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 1 : 3 , e ) none
Output: d
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 11,200 sedans in anytown , how many motorcycles are there ? 
Options: a ) 1260 , b ) 2100 , c ) 3600 , d ) 3200 , e ) 5200
Output: d
Problem: how many positive factors do 180 and 90 have in common ? 
Options: a ) 6 , b ) 12 , c ) 16 , d ) 18 , e ) 24
Output: b
Problem: if 25 % 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 ) 500 , b ) 600 , c ) 620 , d ) 640 , e ) 660
Output: e
Problem: a firm is comprised of partners and associates in a ratio of 2 : 61 . if 75 more associates were hired , the ratio of partners to associates would be 4 : 137 . how many partners are currently in the firm ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: e
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 3 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 12 : 15 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
Output: a
Problem: if the ratio of a to b is 8 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? 
Options: a ) 8 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6
Output: a
Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 100 , b ) 120 , c ) 180 , d ) 140 , e ) 60
Output: d
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 30 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Output: a
Problem: a starts business with rs . 35,000 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 ) 22378 , b ) 279889 , c ) 2788 , d ) 9000 , e ) 2882
Output: d
Problem: there are 418 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 ) 242 , d ) 171 , e ) 181
Output: c
Problem: how many positive factors do 120 and 80 have in common ? 
Options: a ) 8 , b ) 12 , c ) 16 , d ) 18 , e ) 24
Output: a
Problem: bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . 
Options: a ) 7 / 15 , b ) 2 / 8 , c ) 7 / 11 , d ) 13 / 5 , e ) 87
Output: a
Problem: if the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? 
Options: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 15 , d ) 4 / 5 , e ) 7 / 6
Output: c
Problem: the present ratio of students to teachers at a certain school is 35 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: b
Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 42 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 10 , e ) 12
Output: d
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 6 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3
Output: c
Problem: a number is increased by 11 % and then reduced by 10 % . after these operations , the number : 
Options: a ) does not change , b ) decreases by 1 % , c ) increases by 1 % , d ) increases by 0.1 % , e ) none of these
Output: b
Problem: how many multiples of 5 are there between 1 and 100 ( both are inclusive ) ? 
Options: a ) 1.2 , b ) 20.8 , c ) 2.3 , d ) 6.7 , e ) 8.2
Output: b
Problem: what number has a 4 : 1 ratio to the number 100 ? 
Options: a ) 40 , b ) 200 , c ) 400 , d ) 800 , e ) 4000
Output: c
Problem: 20 balls are numbered 1 to 20 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 7 / 30 , b ) 3 / 14 , c ) 9 / 38 , d ) 4 / 21 , e ) 5 / 26
Output: c
Problem: what is the least positive integer that is not a factor of 30 ! and is not a prime number ? 
Options: a ) 31 , b ) 32 , c ) 33 , d ) 62 , e ) 64
Output: d
Problem: the ratio of number of boys and girls in a school is 1 : 2 . if there are 90 students in the school , find the number of girls in the school ? 
Options: a ) 45 , b ) 50 , c ) 60 , d ) 75 , e ) 90
Output: c
Problem: the compound ratio of 1 : 3 , 1 : 2 and 1 : 5 ? 
Options: a ) 1 : 30 , b ) 1 : 5 , c ) 1 : 7 , d ) 1 : 1 , e ) 1 : 6
Output: a
Problem: the h . c . f . of two numbers is 38 and the other two factors of their l . c . m . are 12 and 10 . the larger of the two numbers is : 
Options: a ) 678 , b ) 456 , c ) 234 , d ) 476 , e ) 432
Output: b
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 . 16000 , then find the annual income of a ? 
Options: a ) rs . 537600 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these
Output: a
Problem: the ratio of red balls to blue balls is 3 : 7 . 70 % of the red balls and 30 % of the blue balls are tennis balls . how many of the balls are tennis balls ? 
Options: a ) 44 % , b ) 40 % , c ) 45 % , d ) 42 % , e ) 48 %
Output: d
Problem: the ratio of the present ages of two friends is 2 : 3 and 6 years back , the ratio was 1 : 3 . what will be the ratio of their ages after 4 years ? 
Options: a ) 1 : 4 , b ) 3 : 4 , c ) 1 : 2 , d ) 3 : 1 , e ) 3 : 2
Output: b
Problem: in a class of 50 students , 3 / 5 went away do painting , 1 / 5 went to play in the field . how many students are left in the classroom ? 
Options: a ) 20 , b ) 30 , c ) 5 , d ) 8 , e ) 10
Output: e
Problem: the l . c . m . of 2 numbers is 100 . the numbers are in the ratio 4 : 1 . find their product ? 
Options: a ) 1200 , b ) 2000 , c ) 2500 , d ) 3200 , e ) 1250
Output: c
Problem: in a group of 70 people , 60 like swimming , 50 like wrestling . how many like both swimming and wrestling ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Output: c
Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 34 years . what is molly ' s age right now ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24
Output: d
Problem: the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.8 , what is the probability that event b will occur ? 
Options: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.65
Output: e
Problem: two numbers are in the ratio of 2 : 3 . if 4 is added in both numbers the ratio becomes 5 : 7 . find the difference between numbers . 
Options: a ) 8 , b ) 6 , c ) 4 , d ) 2 , e ) 10
Output: a
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is four 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 ) 3 : 8 , b ) 3 : 9 , c ) 3 : 4 , d ) 3 : 12 , e ) 4 : 12
Output: d
Problem: if q and d are both integers , q > d , and - 3 q > 19 , then the largest value of d would be ? 
Options: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10
Output: d
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 390 kilograms of pears that day , how many kilograms did he sell in the afternoon ? 
Options: a ) 120 , b ) 180 , c ) 260 , d ) 280 , e ) 320
Output: c
Problem: a bag holds 3 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be green ? 
Options: a ) 1 / 10 , b ) 1 / 6 , c ) 3 / 10 , d ) 1 / 5 , 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 a is less than the square root of a . 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 odd integers from 1 to 50 ( both inclusive ) have odd number of factors ? 
Options: a ) 13 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: b
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 220 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 ) 44 , b ) 64 , c ) 70 , d ) 80 , e ) 84
Output: a
Problem: an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is : 
Options: a ) 2 , b ) 9 , c ) 8 , d ) 7 , e ) 4
Output: c
Problem: at a wedding reception , 125 guests ate chicken and 75 guests ate beef . if exactly 100 guests ate only one of the two types of meat , how many guests ate both types of meat ? 
Options: a ) 5 , b ) 100 , c ) 7 , d ) 4 , e ) 50
Output: e
Problem: the cost of 3 pens and 5 pencils is rs . 150 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? 
Options: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 450 , e ) none of these
Output: d
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of g is less than the square root of g . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Output: d
Problem: thomas and matt has some money with them in the ratio of 3 : 4 . if their father gives rs . 30 to each of them then the ratio becomes 4 : 5 . what would be the ratio if thomas spend rs . 40 and matt spend rs . 20 from what they have now ? 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6
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 hydrogen are there in 117 grams of water ? 
Options: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15
Output: d
Problem: in a class of 94 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? 
Options: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 40
Output: e
Problem: two vessels contains equal number of mixtures milk and water in the ratio 5 : 3 and 6 : 2 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? 
Options: a ) 11 : 5 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 15 : 4
Output: a
Problem: a girl multiplies 987 by a certain number and obtains 559981 as her answer . if in the answer , both 9 ’ s are wrong but the other digits are correct , then the correct answer will be 
Options: a ) 553681 , b ) 555181 , c ) 555681 , d ) 556581 , e ) none of these
Output: c
Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? 
Options: a ) 75 , b ) 125 , c ) 145 , d ) 175 , e ) 225
Output: e
Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 5 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 2 : 3
Output: d
Problem: two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1 / 3 when we roll both the cube . 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: a
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 800 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 ) 3.44 , d ) 2.72 , e ) none of these
Output: c
Problem: a certain university will select 1 of 7 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 ) 315
Output: e
Problem: two family reunions are happening at the park avenue hotel , the oates reunion and the hall reunion . all 100 guests at the hotel attend at least one of the reunions . if 40 people attend the oates reunion and 70 people attend the hall reunion , how many people attend both reunions 
Options: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 22
Output: c
Problem: in a colony of 70 residents , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of educated to uneducated persons is 8 : 27 , then find the ratio of the number of educated to uneducated men in the colony ? 
Options: a ) 1 : 7 , b ) 2 : 3 , c ) 1 : 8 , d ) 2 : 3 , e ) 1 : 3
Output: e
Problem: in a group of 26 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 8
Output: c
Problem: ratio between rahul and deepak is 4 : 2 , after 6 years rahul age will be 22 years . what is deepak present age 
Options: a ) 9 , b ) 3 , c ) 5 , d ) 2 , e ) 7
Output: d
Problem: the ratio of 2 numbers is 2 : 5 and their h . c . f . is 6 . their l . c . m . is ? 
Options: a ) 20 , b ) 24 , c ) 52 , d ) 36 , e ) 60
Output: e
Problem: in a school 10 % of the boys are same in number as 1 / 5 th of the girls . what is the ratio of boys to the girls in the school ? 
Options: a ) 5 : 2 , b ) 2 : 3 , c ) 1 : 2 , d ) 3 : 7 , e ) 2 : 5
Output: c
Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 21 and 23 . the larger of the two numbers is 
Options: a ) 276 , b ) 299 , c ) 312 , d ) 460 , e ) none
Output: d
Problem: if the ratio of a to b is 5 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? 
Options: a ) 4 / 15 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 5 , e ) 7 / 6
Output: b
Problem: the shopkeeper sale , all of the prices of the items sold were different . if the price of a radio sold at the shopkeeper sale was both the 9 th highest price and the 14 th lowest price among the prices of the items sold , how many items were sold at the shopkeeper sale ? 
Options: a ) 23 , b ) 22 , c ) 32 , d ) 26 , e ) 17
Output: b
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 ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 355
Output: c
Problem: if w is the set of all the integers between 49 and 114 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 34 , b ) 44 , c ) 45 , d ) 55 , e ) 72
Output: b
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number is : 
Options: a ) 36 , b ) 77 , c ) 88 , d ) 55 , e ) 221
Output: a
Problem: in what ratio should a variety of wheat costing rs . 3 per kg be mixed with another variety of wheat costing rs . 6.25 per kg to obtain a mixture costing rs . 4.50 per kg ? 
Options: a ) 8 : 6 , b ) 7 : 6 , c ) 5 : 6 , d ) 7 : 5 , e ) 6 : 7
Output: b
Problem: the ratio of buses to cars on river road is 1 to 13 . if there are 60 fewer buses than cars on river road , how many cars are on river road ? 
Options: a ) 65 , b ) 60 , c ) 55 , d ) 40 , e ) 45
Output: a
Problem: ratio between rahul and deepak is 4 : 2 , after 10 years rahul age will be 26 years . what is deepak present age 
Options: a ) 14 , b ) 15 , c ) 12 , d ) 22 , e ) 8
Output: e
Problem: the triplicate ratio of 2 : 3 is ? 
Options: a ) 1 : 64 , b ) 1 : 62 , c ) 1 : 34 , d ) 8 : 27 , e ) 5 : 64
Output: d
Problem: there are two positive numbers in the ratio 3 : 11 . if the larger number exceeds the smaller by 32 , then what is the smaller number ? 
Options: a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 17
Output: c
Problem: a bag contains 3 red , 2 blue and 4 green balls . if 2 balls are picked at random , what is the probability that both are red ? 
Options: a ) 1 / 12 , b ) 1 / 13 , c ) 1 / 14 , d ) 1 / 15 , e ) 1 / 18
Output: a
Problem: in what ratio should a variety of rice costing rs . 10 per kg be mixed with another variety of rice costing rs . 13.25 per kg to obtain a mixture costing rs . 10.75 per kg ? 
Options: a ) 2 : 1 , b ) 1 : 2 , c ) 5 : 1 , d ) 4 : 1 , e ) 3 : 1
Output: a
Problem: in a sports club with 55 members , 23 play badminton and 29 play tennis and 7 do not play either . how many members play both badminton and tennis ? 
Options: a ) 3 , b ) 5 , c ) 4 , d ) 7 , e ) 8
Output: c
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 16 boys and 44 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: b
Problem: the ratio between the present ages of a and b is 5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? 
Options: a ) 3 : 9 , b ) 3 : 6 , c ) 3 : 1 , d ) 3 : 4 , e ) 3 : 2
Output: c
Problem: the probability that a computer company will get a computer hardware contract is 4 / 5 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 9 / 10 , what is the probability that it will get both the contracts ? 
Options: a ) 1 / 8 , b ) 2 / 9 , c ) 3 / 10 , d ) 4 / 11 , e ) 5 / 12
Output: c
Problem: the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 4725 . the sum of the numbers is ? 
Options: ['a ) a ) 10', 'b ) b ) 12', 'c ) c ) 15', 'd ) d ) 14', 'e ) e ) 9']
Output: c
Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 350 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280
Output: b
Problem: sandy is younger than molly by 10 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? 
Options: a ) 27 , b ) 36 , c ) 45 , d ) 54 , e ) 63
Output: c
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 1 : 2 . the first number is : 
Options: a ) a ) 27 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62
Output: a
Problem: find the first term and the common ratio of a g . p whose fourth term is 250 and seventh term is 31,250 
Options: a ) 2 / 5,25 , b ) 4,5 / 2 , c ) 1,16 , d ) 2,5 , e ) 1,5
Output: d
Problem: a 20 kg metal bar made of alloy of tin and silver lost 2 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? 
Options: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3
Output: e
Problem: 5 % of men have unlisted phone numbers and 4 % of women have unlisted phone numbers . population ratio of men : women in the city of gpuzzles is 4 : 3 . if we select randomly 100 people from the phone directory , can you tell us how many people selected will definitely have unlisted phone numbers ? 
Options: a ) 0 % , b ) 1 % , c ) 2 % , d ) 3 % , e ) 4 %
Output: a
Problem: at present the ratio between the ages of arun and deepak is 2 : 3 . after 5 years , arun ' s age will be 25 years . what is the age of deepak at present ? 
Options: a ) 20 years , b ) 30 years , c ) 15 years , d ) 25 years , e ) 28 years
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 : 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 ) 7 : 9
Output: d
Problem: nitin ranks 27 th in a class of 89 students . what is rank from the last ? 
Options: a ) 63 , b ) 65 , c ) 67 , d ) 87 , e ) 89
Output: a
Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : 
Options: a ) 276 , b ) 300 , c ) 299 , d ) 322 , e ) 345
Output: b
Problem: in a ratio which is equal to 4 : 6 , if the antecedent is 50 , then the consequent is ? 
Options: a ) 75 , b ) 85 , c ) 64 , d ) 51 , e ) 45
Output: a
Problem: a certain fruit stand sold apples for $ 0.70 each and bananas for $ 0.60 each . if a customer purchased both apples and bananas from the stand for a total of $ 5.60 , 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 two quantities is 1 to 2 . if each of the quantities is increased by 15 , what is the ratio of these 2 new quantities ? 
Options: a ) 5 : 6 , b ) 25 : 27 , c ) 15 : 16 , d ) 20 : 21 , e ) it can not be determined from the information given
Output: e
Problem: of the diplomats attending a summit conference , 25 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 ) 70 , c ) 108 , d ) 120 , e ) 150
Output: b
Problem: a consignment of 20 picture tubes contains 5 defectives . two tubes are selected one after the other at random . the probability that both are defective assuming that the first tube is not replaced before drawing the second , would be : 
Options: a ) 1 / 16 , b ) 1 / 19 , c ) 1 / 4 , d ) 1 / 3 , e ) none of these
Output: b
Problem: what is the units digit of 29 ! + 50 ! + 3 ! + 3 ! ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: b
Problem: the cost of 3 pens and 5 pencils is rs . 100 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? 
Options: a ) rs . 200 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) none of these
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 48 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 10 , e ) 12
Output: e
Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 25 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 75 / 2 , e ) 35
Output: d
Problem: if all the 6 are replaced by 9 , then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by 
Options: a ) 330 , b ) 340 , c ) 350 , d ) 360 , e ) 370
Output: a
Problem: the ratio , by volume , of bleach ( b ) to detergent ( d ) to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: ['a ) 60', 'b ) 50', 'c ) 40', 'd ) 80', 'e ) 70']
Output: a
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: of the 90 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 35
Output: e
Problem: in a certain neighborhood , there are half as many beige houses as white houses , and 6 times as many white houses as brown houses . what is the ratio of the number of brown houses to the number of beige houses ? 
Options: a ) 1 : 3 , b ) 1 : 9 , c ) 2 : 5 , d ) 5 : 3 , e ) 6 : 1
Output: a
Problem: a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio 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: in a college the ratio of the numbers of boys to the girls is 5 : 7 . if there are 140 girls , the total number of students in the college is ? 
Options: a ) 200 , b ) 240 , c ) 160 , d ) 250 , e ) 310
Output: b
Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 210 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 356 , c ) 452 , d ) 416 , e ) 546
Output: e
Problem: 130 kg of an alloy a is mixed with 160 kg of alloy b . if alloy a has lead and tin in the ratio 2 : 3 and alloy b has tin and copper in the ratio 3 : 4 , then the amount of tin in the new alloy is ? 
Options: a ) 140.6 kg , b ) 145.3 kg , c ) 146.5 kg , d ) 110.8 kg , e ) 114 kg
Output: c
Problem: a marketing firm determined that , of 200 households surveyed , 80 used neither brand k nor brand b soap , 60 used only brand k 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: in a sports club with 27 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: e
Problem: solution a is 10 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? 
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 3 : 4 , d ) 4 : 6 , e ) 3 : 7
Output: c
Problem: the sum of the numbers is 98 . if the ratio between the first and the second be 2 : 3 and that between the second and third be 5 : 8 , then find the second number ? 
Options: a ) 24 , b ) 30 , c ) 36 , d ) 42 , e ) 50
Output: b
Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 4 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? 
Options: a ) 2 , b ) 9 , c ) 15 , d ) 18 , e ) 30
Output: d
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 ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: c
Problem: how many prime numbers between 1 and 100 are factors of 7150 ? 
Options: a ) 238 , b ) 100 , c ) 299 , d ) 270 , e ) 111
Output: b
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 15000 , then find his savings ? 
Options: a ) 3600 , b ) 3607 , c ) 3608 , d ) 3602 , e ) 3000
Output: e
Problem: the ratio of the number of females to males at a party was 1 : 2 but when 5 females and 5 males left , the ratio became 1 : 3 . how many people were at the party originally ? 
Options: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Output: c
Problem: the l . c . m . of 2 numbers is 48 . the numbers are in the ratio 2 : 3 . find their sum ? 
Options: a ) 36 , b ) 40 , c ) 48 , d ) 32 , e ) 56
Output: b
Problem: two dice are rolled . what is the probability that the sum on the top face of both the dice will be greater than 9 ? 
Options: a ) 3 / 8 , b ) 2 / 3 , c ) 1 / 2 , d ) 1 / 3 , e ) 1 / 6
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 16 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 368
Output: e
Problem: a bag contains 10 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 ) 21 / 44 , c ) 3 / 5 , d ) 11 / 15 , e ) 7 / 15
Output: b
Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 15 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 ) 3 / 10 , c ) 1 / 4 , d ) 7 / 10 , e ) 9 / 10
Output: c
Problem: two numbers are in the ratio of 5 : 7 . if 25 be subtracted from each , they are in the ratio of 35 : 59 . find the numbers ? 
Options: a ) 60,88 , b ) 60,86 , c ) 60,82 , d ) 60,84 , e ) 60,83
Output: d
Problem: how many different positive integers are factors of 125 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: the ratio of the present age of sandy to that of molly is 7 : 2 . twelve years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? 
Options: a ) 39 , b ) 45 , c ) 51 , d ) 57 , e ) 63
Output: d
Problem: the l . c . m . of two numbers is 30 . the numbers are in the ratio 2 : 3 . then sum of the number is : 
Options: a ) 25 , b ) 32 , c ) 40 , d ) 53 , e ) 54
Output: a
Problem: 9 log 9 ( 7 ) = ? 
Options: a ) 1 , b ) 2 , c ) 7 , d ) 4 , e ) 5
Output: c
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 3 : 1 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 ) 18 : 13 , b ) 16 : 13 , c ) 19 : 13 , d ) 14 : 11 , e ) 13 : 11
Output: c
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 950 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 ) 3.64 , b ) 1.75 , c ) 3.52 , d ) 2.72 , e ) none of these
Output: a
Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 1 / 8 is given by ? 
Options: a ) 1 / 49 , b ) 1 / 42 , c ) 1 / 09 , d ) 1 / 77 , e ) 1 / 12
Output: b
Problem: two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5 ? 
Options: a ) 3 : 4 , b ) 4 : 3 , c ) 9 : 7 , d ) 7 : 9 , e ) 8 : 1
Output: d
Problem: for a positive integer n , if 5 ^ n is a factor of 20 ! , but 5 ^ n + 1 is not a factor of 20 ! , what is the value of n ? 
Options: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: a
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg . 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 3 : 5 , e ) 4 : 5
Output: b
Problem: he ratio between the sale price and the cost price of an article is 5 : 3 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 6 , b ) 2 : 9 , c ) 2 : 4 , d ) 5 : 2 , e ) 2 : 5
Output: d
Problem: a dog takes 5 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 4 leaps of the hare , the ratio of the speed of the dog to that of the hare is : 
Options: a ) 5 : 8 , b ) 5 : 3 , c ) 5 : 2 , d ) 5 : 9 , e ) 2 : 5
Output: c
Problem: the triplicate ratio of 1 : 4 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 64 , e ) 1 : 2
Output: d
Problem: if shares of two persons in profits are rs . 400 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: d
Problem: how many factors of 270 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 9
Output: e
Problem: there are two names given johnson and jones . if one letter is picked from both simultaneously at random , then find the probability that the letter is same ? 
Options: a ) 24 / 35 , b ) 17 / 35 , c ) 8 / 25 , d ) 6 / 35 , e ) 1 / 25
Output: d
Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 15 and the other one , that is cheaper , costs $ 10 . the factory holds a $ 140 worth stock of 13 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 11 , e ) 35
Output: d
Problem: in a colony of 50 residents , the ratio of the number of men and women is 3 : 2 . among the women , the ratio of the educated to the uneducated is 1 : 3 . if the ratio of the number of education to uneducated persons is 4 : 6 , then find the ratio of the number of educated and uneducated men in the colony ? 
Options: a ) 1 : 1 , b ) 3 : 2 , c ) 1 : 3 , d ) 2 : 5 , e ) 5 : 7
Output: a
Problem: what is the number of integers from 11 to 1010 ( inclusive ) that are divisible by neither 12 nor by 15 ? 
Options: a ) 565 , b ) 856 , c ) 783 , d ) 590 , e ) 300
Output: b
Problem: there are 190 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? 
Options: a ) 72 , b ) 85 , c ) 94 , d ) 105 , e ) 108
Output: d
Problem: in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 10 per kg so that cost of mixture is rs . 12 per kg ? 
Options: a ) 2 : 3 , b ) 5 : 8 , c ) 5 : 6 , d ) 3 : 4 , e ) 1 : 2
Output: e
Problem: if 30 % 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 ) 620 , b ) 630 , c ) 616 , d ) 600 , e ) 650
Output: c
Problem: in 50 l can , milk and water in the ratio of 3 : 1 . if the ratio has made 1 : 3 then the quantity of water that has to be added further is ? 
Options: a ) 100 , b ) 120 , c ) 90 , d ) 80 , e ) 70
Output: a
Problem: evaluate 50 ! / 47 ! 
Options: a ) 102500 , b ) 112584 , c ) 117600 , d ) 118450 , e ) 128450
Output: c
Problem: how many odd factors does 270 have ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output: b
Problem: the compound ratio of 2 / 3 , 6 / 7 , 4 / 3 and 1 / 8 is given by ? 
Options: a ) 2 / 21 , b ) 1 / 48 , c ) 1 / 98 , d ) 1 / 96 , e ) 1 / 68
Output: a
Problem: on a certain farm the ratio of horses to cows is 6 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 3 : 1 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Output: d
Problem: how many of the positive factors of 24 are not factors of 27 
Options: a ) 2 , b ) 6 , c ) 4 , d ) 1 , e ) 5
Output: b
Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 324 grams of compound x ? 
Options: a ) 54 , b ) 162 , c ) 250 , d ) 270 , e ) 322
Output: d
Problem: the ratio of number of boys and girls in a school is 2 : 7 . if there are 360 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280
Output: e
Problem: a pizzeria in castroville creates its own special blend of shredded cheese at a cost of $ 696.05 per kilogram . the blend includes mozzarella , at $ 504.35 per kilogram , and romano cheese , at $ 887.75 per kilogram . if the employees have already shredded 19 kilograms of mozzarella cheese , how many kilograms of romano cheese will they need to shred now ? 
Options: a ) 19 kg , b ) 13 kg , c ) 10 kg , d ) 23 kg , e ) 15 kg
Output: a
Problem: the number of sailors on a ship is 80 % more than the number of officers . the ratio of sailors to officers would be 
Options: a ) 33 : 25 , b ) 9 : 5 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50
Output: b
Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 80 per kg ? 
Options: a ) 5 : 8 , b ) 4 : 7 , c ) 4 : 3 , d ) 9 : 5 , e ) 9 : 8
Output: c
Problem: a certain high school has 500 students . of these students , 20 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: e
Problem: what is the square root of 261,121 ? 
Options: a ) 476 , b ) 489 , c ) 497 , d ) 511 , e ) 524
Output: d