niryuu/sni-each-converted huggingface dataset:
Problem: 150 college students were asked in a survey if they preferred windows or mac brand computers . 40 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 40 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? 
Options: a ) 25 , b ) 40 , c ) 70 , d ) 60 , e ) 75
Output: c
Problem: in a company 10 % of male staff are same in number as 1 / 4 th of the female staff . what is the ratio of male staff to female staff 
Options: a ) 3 : 2 , b ) 5 : 2 , c ) 2 : 1 , d ) 4 : 3 , e ) 1 : 2
Output: b
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer q factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: the simple form of the ratio 4 / 3 : 4 / 5 is ? 
Options: a ) 10 : 6 , b ) 10 : 3 , c ) 15 : 3 , d ) 5 : 3 , e ) 30 : 3
Output: d
Problem: two numbers are in the ratio of 1 : 2 . if 9 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: e
Problem: the school soccer team looks at their record and finds that they win , lose , and tie games in a ratio of 4 : 3 : 1 . how many games did they play if they lost 9 games ? 
Options: a ) 3 , b ) 9 , c ) 12 , d ) 18 , e ) 24
Output: e
Problem: in the biotechnology class of 2000 , there were x graduates . 32 of the graduates found a job , 45 continued on to their second degree and 13 did both . if only 9 people did n ' t do both , what is x equal to ? 
Options: a ) 69 . , b ) 71 , c ) 73 , d ) 75 , e ) 76
Output: c
Problem: what is the greatest positive integer t such that 3 ^ t is a factor of 9 ^ 10 ? 
Options: a ) 5 , b ) t = 9 , c ) t = 10 , d ) t = 20 , e ) 30
Output: d
Problem: if ramola ranks 14 th in a class of 26 , what is her rank from the last ? 
Options: a ) 11 th , b ) 13 th , c ) 12 th , d ) 14 th , e ) 15 th
Output: b
Problem: in a class of 37 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Output: b
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 450 kilograms of pears that day , how many kilograms did he sell in the afternoon ? 
Options: a ) 120 , b ) 180 , c ) 300 , d ) 280 , e ) 320
Output: c
Problem: two vessels contains equal number of mixtures milk and water in the ratio 4 : 2 and 5 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? 
Options: a ) 3 : 1 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 15 : 4
Output: a
Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 588 , krishan has ? 
Options: a ) s . 2890 , b ) s . 2330 , c ) s . 1190 , d ) s . 3468 , e ) s . 2680
Output: d
Problem: sachin is younger than rahul by 7 years . if the ratio of their ages is 6 : 9 , find the age of sachin 
Options: a ) 24.5 , b ) 14 , c ) 24.21 , d ) 27 , e ) 25
Output: b
Problem: the ratio between the sale price and the cost price of an article is 10 : 7 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 9 , b ) 2 : 5 , c ) 3 : 7 , d ) 2 : 0 , e ) 2 : 1
Output: c
Problem: income and expenditure of a person are in the ratio 8 : 7 . if the income of the person is rs . 40000 , then find his savings ? 
Options: a ) 5000 , b ) 6000 , c ) 7000 , d ) 8000 , e ) 9000
Output: a
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 4 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? 
Options: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 60
Output: c
Problem: a certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 81 , b ) 82 , c ) 84 , d ) 86 , e ) 88
Output: c
Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 27 , then find the smaller number ? 
Options: a ) 25 , b ) 66 , c ) 45 , d ) 88 , e ) 44
Output: c
Problem: if log 0.317 = 0.3332 and log 0.318 = 0.3364 , then find log 0.319 
Options: a ) 0.3396 , b ) 0.3496 , c ) 0.3596 , d ) 0.3696 , e ) 0.3796
Output: a
Problem: ratio of girl and boys in class is 5 : 6 . if 20 girl leave the class and ratio become 2 : 3 . calculate the no . of boys ? 
Options: a ) 100 , b ) 120 , c ) 80 , d ) 90 , e ) none of the above
Output: b
Problem: how many consecutive zeros are there at the end of 100 ! ( 100 factorial ) ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Output: d
Problem: solution a is 20 % salt and solution b is 70 % 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 ) 2 : 3 , d ) 4 : 6 , e ) 3 : 7
Output: c
Problem: the probability of two events a and b are 0.15 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: e
Problem: income and expenditure of a person are in the ratio 9 : 8 . if the income of the person is rs . 18000 , then find his savings ? 
Options: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 2000 , d ) rs . 3632 , e ) rs . 3602
Output: c
Problem: find the probability in a group of 10 students sitting in a row , two of them always sit next to each other 
Options: a ) 0.5 , b ) 0.4 , c ) 0.3 , d ) 0.2 , e ) 0.1
Output: d
Problem: if 65 percent of a class answered the first question on a certain test correctly , 55 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 ) 45 % , b ) 40 % , c ) 35 % , d ) 30 % , e ) 25 %
Output: b
Problem: in what ratio should a variety of rice costing rs . 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 ) 1 / 2 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 3 , e ) 7 / 6
Output: a
Problem: in a class , 30 students pass in english and 20 students in maths , while some students among these pass in both . how many students do only english as compared to those doing only maths ? 
Options: a ) 10 , b ) 15 , c ) 4 , d ) 12 , e ) indeterminate
Output: e
Problem: in what ratio should a variety of rice costing rs . 7 per kg be mixed with another variety of rice costing rs . 14.50 per kg to obtain a mixture costing rs . 9.75 per kg ? 
Options: a ) 19 : 10 , b ) 19 : 11 , c ) 11 : 19 , d ) 12 : 18 , e ) 11 : 20
Output: b
Problem: the l . c . m . of 2 numbers is 30 . the numbers are in the ratio 2 : 3 . find their sum ? 
Options: a ) 36 , b ) 25 , c ) 48 , d ) 32 , e ) 56
Output: b
Problem: a and b have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4 . if they save rs . 1800 and rs . 1600 respectively , find the monthly income of b 
Options: a ) rs . 3400 , b ) rs . 2700 , c ) rs . 1720 , d ) rs . 7200 , e ) rs . 8200
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 70 black cars in the lot , how many red cars are there in the lot ? 
Options: a ) 11 , b ) 26 , c ) 24 , d ) 27 , e ) 32
Output: b
Problem: the ratio between the sale price and the cost price of an article is 6 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 9 , b ) 1 : 5 , c ) 3 : 6 , d ) 2 : 0 , e ) 2 : 1
Output: b
Problem: solution a is 40 % 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 ) 4 : 4 , d ) 4 : 6 , e ) 3 : 1
Output: e
Problem: two brother x and y appeared for an exam . let a be the event that x is selected and b is the event that y is selected . the probability of a is 17 and that of b is 29 . find the probability that both of them are selected . 
Options: a ) 2 / 63 , b ) 2 / 67 , c ) 2 , d ) 3 / 31 , e ) 4
Output: a
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 240 . their h . c . f is ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c
Problem: the flowerman sale , all of the prices of the flowers sold were different . if the price of a radio sold at the flowerman sale was both the 17 th highest price and the 42 th lowest price among the prices of the slowers sold , how many flowers were sold at the flowerman sale ? 
Options: a ) 38 , b ) 34 , c ) 58 , d ) 63 , e ) 73
Output: c
Problem: nitin ranks 12 th in a class of 56 students . what is rank from the last ? 
Options: a ) 33 , b ) 38 , c ) 45 , d ) 28 , e ) 19
Output: c
Problem: nitin ranks 18 th in a class of 49 students . what is rank from the last ? 
Options: a ) 33 , b ) 38 , c ) 32 , d ) 28 , e ) 19
Output: c
Problem: 6 ) a marketing firm determined that , of 260 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? 
Options: a ) a ) 15 , b ) b ) 20 , c ) c ) 30 , d ) d ) 40 , e ) e ) 45
Output: 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 , 28 have long fur , 17 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? 
Options: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6
Output: d
Problem: if w is the set of all the integers between 29 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 47
Output: e
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 3 : 7 . 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 2000 , e ) s 1700
Output: d
Problem: a certain quantity of 80 % 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 ) 9 / 11
Output: e
Problem: in a club with 310 peopl , 138 play tennis , 255 play baseball , and 94 people play both sports . how many people do not pla a sport ? 
Options: ['a ) 9', 'b ) 8', 'c ) 4', 'd ) 10', 'e ) 11']
Output: e
Problem: in a class , 30 students pass in english and 20 students in math , while some students among these pass in both . how many more students do only english as compared to those doing only maths ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) indeterminate
Output: a
Problem: on multiplying a number f by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . 
Options: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355
Output: d
Problem: 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 e this college graduate has a graduate degree ? 
Options: a ) 1 / 11 , b ) 1 / 12 , c ) 1 / 13 , d ) 3 / 19 , e ) 3 / 43
Output: d
Problem: if 0.8 of a number is equal to 0.09 of another number , the ratio of the numbers i 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 9 : 80 , d ) 20 : 3 , e ) none
Output: c
Problem: if the ratio of two number is 4 : 6 and lcm of the number is 280 then what is the number . 
Options: a ) 12 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: a
Problem: how many different positive integers are factors of 64 ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: d
Problem: at present the ratio between the ages of arun and deepak is 4 : 3 . after 6 years , arun ' s age will be 26 years . what is the age of deepak at present ? 
Options: a ) 15 , b ) 21 , c ) 23 , d ) 12 , e ) 25
Output: a
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13 . if the shop carries 352 dogs and bunnies total in stock , how many dogs are there ? 
Options: a ) 42 , b ) 66 , c ) 98 , d ) 112 , e ) 154
Output: b
Problem: a bag holds 4 red marbles and 4 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 / 7 , b ) 1 / 5 , c ) 3 / 14 , d ) 2 / 7 , e ) 1 / 2
Output: c
Problem: among 600 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? 
Options: a ) 30 , b ) 90 , c ) 120 , d ) 172 , e ) 180
Output: e
Problem: sandy is younger than molly by 8 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? 
Options: a ) 18 , b ) 27 , c ) 36 , d ) 45 , e ) 54
Output: c
Problem: in a certain alphabet , 10 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ? 
Options: a ) 6 , b ) 8 , c ) 14 , d ) 20 , e ) 28
Output: a
Problem: if 0.4 of a number is equal to 0.06 of another number , the ratio of the numbers i 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 20 , d ) 20 : 3 , e ) none
Output: c
Problem: the l . c . m . of 2 numbers is 72 . the numbers are in the ratio 2 : 3 . find their sum ? 
Options: a ) 36 , b ) 40 , c ) 48 , d ) 60 , e ) 56
Output: d
Problem: 24 oz of juice p and 25 oz of juice v are mixed to make smothies a and y . the ratio of p to v in smothie a is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie a ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: d
Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 45000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 4 : 3
Output: e
Problem: out of 420 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 120 , b ) 150 , c ) 130 , d ) 180 , e ) 220
Output: c
Problem: in a group of 10 doctors , 3 doctors are only pediatricians ; the others are surgeons or general practitioners - but not both . a team of 3 doctors is to be chosen which must have at least 1 pediatrician , how many different teams can be chosen ? 
Options: a ) 85 , b ) 140 , c ) 60 , d ) 80 , e ) 75
Output: a
Problem: all numbers from 1 to 200 ( in decimal system ) are written in base 6 and base 7 systems . how many of the numbers will have a non - zero units digit in both base 6 and base 7 notations ? 
Options: ['a ) 143', 'b ) 200', 'c ) 157', 'd ) 122', 'e ) 132']
Output: a
Problem: the ratio of two numbers is 5 : 9 . if each number is decreased by 5 , the ratio becomes 5 : 11 . find the numbers . 
Options: a ) 30 , 19 , b ) 21 , 37 , c ) 15 , 34 , d ) 15 , 27 , e ) none of these
Output: d
Problem: how many odd factors does 460 have ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output: b
Problem: divide $ 1162 among a , b , c in the ratio 35 : 28 : 20 . 
Options: a ) 490 , 490,490 , b ) 360 , 392,460 , c ) 490 , 392,280 , d ) 260 , 160,60 , e ) 492 , 390,280
Output: c
Problem: the ratio of flour to water to sugar in a recipe is 7 : 2 : 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 2 cups of water , how much sugar is required ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: c
Problem: 27 is a perfect cube . when x is perfect cube which is added to the prime factor of 27 , the result is not a prime number . what is the square root of x ? 
Options: ['a ) 2', 'b ) 4', 'c ) 6', 'd ) 8', 'e ) 10']
Output: c
Problem: the value of log 2 16 is 
Options: a ) 1 / 8 , b ) 4 , c ) 8 , d ) 16 , e ) 17
Output: b
Problem: in a class , 7 students like to play basketball and 8 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? 
Options: a ) 12 , b ) 15 , c ) 16 , d ) 18 , e ) 22
Output: a
Problem: 9 log 9 ( 2 ) = ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: 100 people are attending a newspaper conference . 45 of them are writers and more than 36 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? 
Options: a ) 26 , b ) 24 , c ) 18 , d ) 20 , e ) 22
Output: c
Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 40 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . 
Options: a ) 12 , b ) 15 , c ) 16 , d ) 64 , e ) 25
Output: d
Problem: how many factors of 30 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 3 , c ) 5 , d ) 6 , e ) 7
Output: b
Problem: the number of sailors on a ship is 78 % more than the number of officers . the ratio of sailors to officers would be 
Options: a ) 33 : 25 , b ) 47 : 20 , c ) 47 : 25 , d ) 89 : 50 , e ) 97 : 50
Output: d
Problem: what is the square root of 16 ? 
Options: a ) 8 , b ) 4 , c ) 35 , d ) 42 , e ) 86
Output: b
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 e women are currently in the room ? 
Options: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36
Output: d
Problem: at a certain zoo , the ratio of lions to penguins is 3 to 11 . if there are 82 more penguins than lions at the zoo , how many lions are there ? 
Options: a ) 24 , b ) 30 , c ) 48 , d ) 72 , e ) 132
Output: b
Problem: 9 log 9 ( 5 ) = ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 8
Output: d
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 330 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 ) 72 , b ) 88 , c ) 95 , d ) 120 , e ) 135
Output: b
Problem: x starts a business with rs . 45000 . y joins in the business after 2 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 9 : 5 , c ) 1 : 5 , d ) 3 : 1 , e ) 1 : 1
Output: b
Problem: hree number are in the ratio of 3 : 4 : 5 and their l . c . m . is 2400 . their h . c . f . is : 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Output: a
Problem: in a group of 250 readers who read science fiction or literacy works or both , 180 read science fiction and 88 read literacy works . how many read both science fiction and literacy works ? 
Options: a ) 268 , b ) 180 , c ) 150 , d ) 18 , e ) 88
Output: d
Problem: find the number of different prime factors of 1250 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: b
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 8 : 3 . the sum of numbers is : 
Options: a ) 22 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: a
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 8 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 8 , b ) 1 : 6 , c ) 1 : 5 , d ) 1 : 4 , e ) 1 : 3
Output: d
Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 150 cookies , what percent of the cookies did nell bake ? 
Options: a ) 0.125 % , b ) 1.25 % , c ) 12.6 % , d ) 125 % , e ) 0.152 %
Output: c
Problem: the triplicate ratio of 1 : 9 is ? 
Options: a ) 1 : 0 , b ) 1 : 8 , c ) 1 : 7 , d ) 1 : 2 , e ) 1 : 729
Output: e
Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 13 . how many cooks does the restaurant have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Output: d
Problem: p starts a business with rs . 4000 . after 4 months , q joins with p as his partner . after a year , the profit is divided in the ratio 2 : 3 . q ' s contribution in the capital is ? 
Options: a ) rs . 7000 , b ) rs . 11000 , c ) rs . 8000 , d ) rs . 10000 , e ) rs . 9000
Output: e
Problem: find the highest common factor of 36 and 84 . 
Options: a ) 12 , b ) 10 , c ) 16 , d ) 19 , e ) 18
Output: a
Problem: how many even integers from 1 to 200 ( both inclusive ) have even number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output: e
Problem: sachin is younger than rahul by 14 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 48 , b ) 24.8 , c ) 24.21 , d ) 24.88 , e ) 49
Output: e
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is 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 3 ounces of corn syrup , how many ounces of water does it contain ? 
Options: ['a ) 45', 'b ) 50', 'c ) 55', 'd ) 60', 'e ) 63']
Output: a
Problem: there are 640 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 ) 375 , d ) 380 , e ) 400
Output: e
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 100 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: b
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age . 
Options: a ) 14 , b ) 15 , c ) 20 , d ) 22 , e ) 24
Output: b
Problem: of the 75 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: c
Problem: the ratio of spinsters to cats is 2 to 9 . if there are 63 more cats than spinsters , how many spinsters are there ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: e
Problem: the ratio , by volume , of bleach to detergent 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 200 liters of water , how many liters of detergent will it contain ? 
Options: a ) 60 , b ) 55 , c ) 50 , d ) 45 , e ) 40
Output: e
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 330 baseball fans in the town , each of whom is a fan of exactly one of those 3 teams , how many ny mets fans are there in this town ? 
Options: a ) 72 , b ) 88 , c ) 95 , d ) 120 , e ) 135
Output: b
Problem: if 47.5 % 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 ) 110 , b ) 330 , c ) 550 , d ) 462 , e ) 880
Output: d
Problem: log 3 n + log 15 n what is 3 digit number n that will be whole number 
Options: a ) 3375 , b ) 7292 , c ) 8291 , d ) 3929 , e ) 2727
Output: a
Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 40 white marbles . how many red marbles could be in bag a ? 
Options: a ) 8 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output: a
Problem: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? 
Options: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 5 : 11 , e ) 7 : 3
Output: d
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 9 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1800 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700
Output: a
Problem: the salaries of a , b , and c are in the ratio of 1 : 2 : 3 . the salary of b and c together is rs . 6000 . by what percent is the salary of c more than that of a ? 
Options: a ) 209 % , b ) 200 % , c ) 290 % , d ) 600 % , e ) 100 %
Output: b
Problem: set a consists of the integers from 3 to 12 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: b
Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 3 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? 
Options: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: e
Problem: what is the greatest positive integer r such that 3 ^ r is a factor of 9 ^ 10 ? 
Options: a ) r = 5 , b ) r = 9 , c ) r = 10 , d ) r = 20 , e ) 30
Output: d
Problem: 17 balls are numbered 1 to 17 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 1 / 7 , b ) 3 / 14 , c ) 5 / 23 , d ) 7 / 34 , e ) 9 / 41
Output: d
Problem: evaluate : log 3 27 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 70 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: 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 25 / 36 . how many marbles are in the bag ? 
Options: a ) 24 , b ) 48 , c ) 60 , d ) 72 , e ) 84
Output: b
Problem: present ages of abi and suji are in the ratio of 5 : 4 respectively . 3 years hence , the ratio of their ages will become 11 : 9 respectively . what is suji ' s present age in years ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: e
Problem: two containers of milk contain mixtures of water and milk in ratio 5 : 4 and 7 : 9 . in what ratio they should be mixed so that mixture is of 6 : 6 ratio ? 
Options: a ) 6 : 5 , b ) 7 : 5 , c ) 9 : 8 , d ) 8 : 9 , e ) 8 : 7
Output: c
Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is 
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
Output: b
Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 10 and 15 . the larger of the two numbers is : 
Options: a ) 350 , b ) 250 , c ) 450 , d ) 500 , e ) 620
Output: c
Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 3 : 1 / 5 . what is the minimum no . of pencils that the person should have ? 
Options: a ) 41 , b ) 65 , c ) 70 , d ) 77 , e ) 98
Output: a
Problem: two vessels contains equal number of mixtures milk and water in the ratio 8 : 2 and 9 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? 
Options: a ) 1 : 3 , b ) 9 : 13 , c ) 5 : 11 , d ) 11 : 3 , e ) 17 : 3
Output: e
Problem: a certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 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 ) 351 , b ) 425 , c ) 748 , d ) 854 , e ) 945
Output: e
Problem: how many positive integers e between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? 
Options: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26
Output: e
Problem: the ratio of the incomes of a and b is 5 : 4 and the ratio of their expenditure is 3 : 2 . if at the end of the year , each saves $ 1600 then the income of a is ? 
Options: a ) $ 1500 , b ) $ 4000 , c ) $ 2000 , d ) $ 2500 , e ) $ 3200
Output: b
Problem: there are 180 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ? 
Options: a ) 100 , b ) 104 , c ) 108 , d ) 112 , e ) 116
Output: c
Problem: the sum of 3 numbers is 98 . if the ratio between first and second be 2 : 3 and that between second and third be 5 : 8 , then the second number is ? 
Options: a ) 30 , b ) 20 , c ) 58 , d ) 48 , e ) 68
Output: a
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 2 . 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 ) 9 : 8 , b ) 8 : 15 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
Output: b
Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total q of the book ? 
Options: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018
Output: a
Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people z who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500
Output: d
Problem: a certain university will select 1 of 7 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 ) 42 , b ) 70 , c ) 140 , d ) 165 , e ) 252
Output: e
Problem: in a family 16 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ? 
Options: a ) 28 , b ) 26 , c ) 22 , d ) 31 , e ) 21
Output: a
Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 95 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 50 , b ) 43 , c ) 45 , d ) 55 , e ) 60
Output: a
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 4 : 1 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 3 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
Output: b
Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 53 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 ) 49 , d ) 51 , e ) 53
Output: b
Problem: thomas ' s age and matt ' s age are in the ratio 3 : 5 . two years ago the ratio of their ages was 5 : 9 . find the ratio of their ages 4 years hence ? 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 5 : 6
Output: b
Problem: sachin is older than rahul by 7 years . if the ratio of their ages is 11 : 9 , find the age of sachin 
Options: a ) 24.5 , b ) 24.8 , c ) 38.5 , d ) 24.88 , e ) 24.19
Output: c
Problem: a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 98 are wrong and other digits are correct , then the correct answer would be : 
Options: a ) 553681 , b ) 555181 , c ) 555681 , d ) 556581 , e ) 555581
Output: c
Problem: how many trailing zeroes does 49 ! + 50 ! have ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 22
Output: b
Problem: what is the units digit of 32 ! + 50 ! + 4 ! + 4 ! ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Output: e
Problem: the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 4 . find their incomes ? 
Options: a ) 112.5 , 158.5 , b ) 180.5 , 150 , c ) 100 , 200 , d ) 112.5 , 150 , e ) 122.5 , 150
Output: d
Problem: how many multiples of 7 are there between 10 and 100 ( both are inclusive ) ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 21
Output: b
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 126 grams of water ? 
Options: a ) 110 , b ) 112 , c ) 114 , d ) 116 , e ) 118
Output: b
Problem: in a certain group of 10 developers , 4 developers code only in python and the rest program in either ruby on rails or php - but not both . if a developer organization is to choose a 3 - member team , which must have at least 1 developer who codes in python , how many different programming teams can be chosen ? 
Options: a ) 100 , b ) 40 , c ) 66 , d ) 80 , e ) 75
Output: a
Problem: two numbers are in the ratio of 15 : 11 . if their h . c . f . is 13 , find the numbers . 
Options: a ) 195,143 , b ) 185,133 , c ) 175,123 , d ) 165,113 , e ) none of them
Output: a
Problem: what is the prime factors ’ number of 18 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: b
Problem: if log 102 = 0.3010 , log 10 3 = 0.4771 , then the number of zeros between the decimal point and the first significant figure in ( 0.0432 ) 10 is ? 
Options: a ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 16
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 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 7 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 105
Output: e
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 3 . the sum of numbers is : 
Options: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 64
Output: e
Problem: how many positive factors do 160 and 96 have in common ? 
Options: a ) 6 , b ) 12 , c ) 16 , d ) 18 , e ) 24
Output: a
Problem: the ratio of local and international calls made by amy this week is 5 to 2 . if the ratio changes to 5 to 3 after amy makes 3 more international calls , how many local calls did amy make this week ? 
Options: a ) 3 , b ) 5 , c ) 10 , d ) 15 , e ) 21
Output: d
Problem: two numbers are in the ratio 3 : 4 . if the sum of numbers is 63 , find the numbers . 
Options: a ) 27 and 36 . , b ) 25 and 30 . , c ) 23 and 44 . , d ) 63 and 12 . , e ) 12 and 36 .
Output: a
Problem: in a sports club with 30 members , 17 play badminton and 17 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 10 , e ) 11
Output: b
Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is 
Options: a ) 2 : 0 , b ) 2 : 1 , c ) 2 : 9 , d ) 2 : 2 , e ) 2 : 5
Output: b
Problem: the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution . 
Options: a ) 26 % , b ) 33 % , c ) 34 % , d ) 35 % , e ) 24 %
Output: a
Problem: how many zeros does 65 ! end with ? 
Options: a ) 20 , b ) 15 , c ) 25 , d ) 30 , e ) 32
Output: b
Problem: sachin is younger than rahul by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ? 
Options: a ) 16 , b ) 18 , c ) 28 , d ) 30 , e ) 34
Output: e
Problem: ratio between rahul and deepak is 4 : 3 , after 4 years rahul age will be 32 years . what is deepak present age . 
Options: a ) 14 , b ) 15 , c ) 20 , d ) 21 , e ) 24
Output: d
Problem: the number of even factors of 21600 is 
Options: a ) 32 , b ) 42 , c ) 60 , d ) 25 , e ) 52
Output: c
Problem: tough and tricky questions : ratios 4 / 5 of a certain class left on a field trip . 1 / 3 of the students who stayed behind did not want to go on the field trip ( all the others did want to go ) . when another vehicle was located , 1 / 2 of the students who did want to go on the field trip but had been left behind were able to join . what fraction of the class ended up going on the field trip ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 13 / 15 , d ) 23 / 30 , e ) 4 / 5
Output: c
Problem: two whole numbers whose sum is 42 can not be in the ratio 
Options: a ) 2 : 5 , b ) 1 : 6 , c ) 2 : 4 , d ) 3 : 8 , e ) 2 : 40
Output: d
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 3 . what could be the ratio of cats to dogs in the pet store ? 
Options: a ) 12 : 15 , b ) 1 : 4 , c ) 1 : 5 , d ) 2 : 5 , e ) 1 : 3
Output: a
Problem: if 32.5 % 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 ) 110 , b ) 330 , c ) 550 , d ) 594 , e ) 880
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 w 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: the ratio of pens to pencils is 5 to 6 . there are 8 more pencils than pens . how many pencils are there ? 
Options: a ) 30 , b ) 32 , c ) 48 , d ) 55 , e ) 64
Output: c
Problem: if 70 percent of a class answered the first question on a certain test correctly , 55 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 ) 45 % , b ) 40 % , c ) 35 % , d ) 30 % , e ) 25 %
Output: a
Problem: the simple form of the ratio 2 / 3 : 2 / 5 is ? 
Options: a ) 5 : 0 , b ) 5 : 3 , c ) 5 : 1 , d ) 5 : 2 , e ) 5 : 7
Output: d
Problem: how many of the positive factors of 75 are not factors of 95 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: e
Problem: two numbers are in the ratio 1 : 2 , if 7 is added to both , their ratio changes to 3 : 5 . the greatest number is 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 32 , e ) 44
Output: c
Problem: of the 200 stamps in a collection , 90 are foreign and 80 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 ) 80 , c ) 100 , d ) 130 , e ) 150
Output: a
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 153 grams of water ? 
Options: a ) 16 , b ) 72 , c ) 112 , d ) 136 , e ) 142
Output: d
Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 2200 , then what is the income of p 1 ? 
Options: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 5500 , e ) s . 4200
Output: d
Problem: the ratio of numbers is 3 : 4 and their h . c . f is 5 . their l . c . m is : 
Options: a ) 12 , b ) 16 , c ) 24 , d ) 60 , e ) 98
Output: d
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 w of revenue from car sales in 1996 to revenue from truck sales in 1996 ? 
Options: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3
Output: a
Problem: a certain fraction has the same ratio to 1 / 18 , as 2 / 5 does to 2 / 9 . what is this certain fraction ? 
Options: a ) 1 / 5 , b ) 1 / 7 , c ) 1 / 10 , d ) 1 / 12 , e ) 1 / 15
Output: c
Problem: 16 balls are numbered 1 to 16 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 4 / 11 , b ) 5 / 17 , c ) 6 / 25 , d ) 7 / 30 , e ) 8 / 37
Output: d
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 26 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 ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 637 , krishan has ? 
Options: a ) s . 2890 , b ) s . 2330 , c ) s . 3757 , d ) s . 1620 , e ) s . 2680
Output: c
Problem: two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 1 to 1 . find the larger integer . 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15
Output: e
Problem: 13 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ? 
Options: a ) 80 , b ) 160 , c ) 720 , d ) 1100 , e ) 2184
Output: e
Problem: 170 kg of an alloy a is mixed with 250 kg of alloy b . if alloy a has lead and tin in the ratio 1 : 3 and alloy b has tin and copper in the ratio 3 : 5 , then the amount of tin in the new alloy is ? 
Options: a ) 210.6 kg , b ) 221.3 kg , c ) 229.5 kg , d ) 110.8 kg , e ) 114 kg
Output: b
Problem: if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers is : 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 2 : 5 , d ) 20 : 3 , e ) 30 : 7
Output: c
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 11 . what could be the ratio of cats to dogs in the pet store ? 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 5 , d ) 44 : 55 , e ) 4 : 6
Output: d
Problem: in what ratio must rice of rs . 32 per kg be mixed with rice of rs . 42 per kg so that cost of mixture is rs . 20 per kg ? 
Options: a ) 13 : 6 , b ) 13 : 5 , c ) 11 : 6 , d ) 11 : 5 , e ) 12 : 5
Output: c
Problem: if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number . 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: b
Problem: the ratio of the money with ravi and giri is 6 : 7 and that with giri and kiran is 6 : 15 . if ravi has $ 36 , how much money does kiran have ? 
Options: a ) $ 36 , b ) $ 42 , c ) $ 60 , d ) $ 75 , e ) $ 105
Output: e
Problem: the ratio of the number of females to males at a party was 1 : 2 but when 3 females and 3 males left , the ratio became 1 : 3 . how many people were at the party originally ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
Output: c
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 18 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Output: b
Problem: the ratio of 2 numbers is 4 : 6 and their h . c . f . is 8 . their l . c . m . is ? 
Options: a ) 20 , b ) 24 , c ) 52 , d ) 96 , e ) 60
Output: d
Problem: at a party , 13 guests brought wine and 14 guests brought beer . if exactly 11 guests brought only one of the two types of drinks , how many guests brought both types of drinks ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 14
Output: d
Problem: the ratio between the sale price and the cost price of an article is 6 : 4 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 23 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 25
Output: b
Problem: if $ 792 are divided between worker a and worker b in the ratio 5 : 6 , what is the share that worker b will get ? 
Options: a ) 54.54 % , b ) 55.55 % , c ) 56.56 % , d ) 57.57 % , e ) 58.58 %
Output: a
Problem: sachin is younger than rahul by 9 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 31.5 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 24.1
Output: a
Problem: the contents of two vessels containing copper and tin in the ratio 2 : 3 and 5 : 7 are mixed in the ratio 3 : 5 . the resulting mixture will have copper and tin in the ratio ? 
Options: a ) 210 : 283 , b ) 312 : 433 , c ) 178 : 213 , d ) 197 : 283 , e ) 145 : 256
Output: d
Problem: of the 65 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: a
Problem: how many of the positive factors of 25 , 15 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 300 . what is their h . c . f . ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 60 , e ) 75
Output: b
Problem: how many factors of 60 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 3 , e ) 7
Output: d
Problem: two numbers are in respectively 20 % and 50 % more than a third number . the ratio of the two numbers is ? 
Options: a ) 2 : 5 , b ) 1 : 2 , c ) 4 : 5 , d ) 3 : 7 , e ) 5 : 6
Output: c
Problem: ratio between rahul and deepak is 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age . 
Options: a ) 14 , b ) 15 , c ) 8 , d ) 22 , e ) 24
Output: c
Problem: mr . kutty has only hens and sheep . if the total number of their heads is 38 and the total number of legs is 100 then what is the ratio between the numbers of hens and sheep ? 
Options: a ) 2 : 1 , b ) 1 : 2 , c ) 6 : 13 , d ) 13 : 6 , e ) none of these
Output: d
Problem: find the number of factors of 9321 ? 
Options: a ) 3 , b ) 6 , c ) 8 , d ) 16 , e ) 32
Output: c