niryuu/sni-each-converted huggingface dataset:
Problem: how many of the positive factors of 25 , 150 and how many common factors are there in numbers ? 
Options: a ) 2 , b ) 4 , c ) 3 , d ) 5 , e ) 1
Output: c
Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 420 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 250 , c ) 300 , d ) 370 , e ) 280
Output: c
Problem: a bag contains 6 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is 
Options: a ) 8 / 15 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 43 / 91
Output: e
Problem: the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ? 
Options: a ) 5 , b ) 3 , c ) 6 , d ) 7 , e ) 8
Output: c
Problem: in a class , 5 people like baseball and football , 2 people only like baseball , 3 people only like football , and 6 people like neither . how many people are in the class ? 
Options: ['a ) 10', 'b ) 14', 'c ) 16', 'd ) 20', 'e ) 22']
Output: c
Problem: 39 ! is divided by 41 then what is the remainder ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 7
Output: a
Problem: how many of the positive factors of 45 , 16 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: a
Problem: a grocery store bought some apples at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar . what was the ratio of the number of apples in the two stacks if the store broke even after having sold all of its apples ? 
Options: a ) 1 : 7 , b ) 1 : 5 , c ) 1 : 4 , d ) 1 : 2 , e ) 2 : 5
Output: c
Problem: the h . c . f . of two numbers is 32 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 448 , b ) 299 , c ) 421 , d ) 460 , e ) 365
Output: a
Problem: the duplicate ratio of 3 : 4 is ? 
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 9 : 16 , e ) 1 : 13
Output: d
Problem: 120 kg of an alloy a is mixed with 180 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 : 5 , then the amount of tin in the new alloy is ? 
Options: a ) 100.6 kg , b ) 120.3 kg , c ) 139.5 kg , d ) 140.8 kg , e ) 114.5 kg
Output: c
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 438 , b ) 436 , c ) 430 , d ) 442 , e ) 444
Output: c
Problem: the ratio of two numbers is 3 : 4 and their sum is 21 . the greater of the two numbers is ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 17 , e ) 19
Output: a
Problem: ( 4 ! ) ^ n is a factor of 12 ! , but ( 4 ! ) ^ ( n + 1 ) is not factor of 12 ! . what is the value of n ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 16 ! 
Options: a ) 8 , b ) 10 , c ) 6 , d ) 14 , e ) 16
Output: c
Problem: how many different positive integers are factors of 324 ? 
Options: a ) 9 , b ) 16 , c ) 25 , d ) 36 , e ) 49
Output: d
Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability e that the both positions will be taken by members of just one party ? 
Options: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2
Output: d
Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 333 and for 36 kgs of apples is 366 then the cost of first 15 kgs of apples is 
Options: a ) 3.69 , b ) 3.66 , c ) 3.6 , d ) 150 , e ) 3.61
Output: d
Problem: what is the square root of 5,625 ? 
Options: a ) a ) 18 , b ) b ) 75 , c ) c ) 45 , d ) d ) 62 , e ) e ) 81
Output: b
Problem: in a family 19 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 ) 20 , b ) 31 , c ) 9 , d ) 31 , e ) 21
Output: b
Problem: the ratio of flour to water to sugar in a recipe is 8 : 4 : 3 . 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 ) 6 , b ) 5 , c ) 4 , d ) 3 , e ) 2
Output: a
Problem: 90 kg of an alloy a is mixed with 140 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 4 and alloy b has tin and copper in the ratio 2 : 5 , then the amount of tin in the new alloy is ? 
Options: a ) 100.6 kg , b ) 95.4 kg , c ) 117.5 kg , d ) 91.4 kg , e ) 92 kg
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 170 cookies , what percent of the cookies did irin bake ? 
Options: a ) 0.125 % , b ) 1.25 % , c ) 12.5 % , d ) 53.5 % , e ) 0.152 %
Output: d
Problem: the compound ratio of 2 / 3 , 6 / 7 , 1 / 5 and 1 / 8 is given by ? 
Options: a ) 7 / 98 , b ) 1 / 48 , c ) 1 / 98 , d ) 3 / 350 , e ) 1 / 68
Output: d
Problem: how many distinct prime numbers are factors of 33150 ? 
Options: a ) four , b ) five , c ) six , d ) seven , e ) eight
Output: b
Problem: find the highest common factor of 36 and 84 ? 
Options: a ) 4 , b ) 6 , c ) 12 , d ) 18 , e ) none of these
Output: c
Problem: solution a is 30 % 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 : 2
Output: e
Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 6 ^ 2 ) x ( 7 ^ 3 ) , what is the smallest possible positive value of n ? . 
Options: a ) 25 , b ) 27 , c ) 45 , d ) 75 , e ) 125
Output: d
Problem: of the 65 cars on a car lot , 45 have power steering , 25 have power windows , and 17 have both power steering and power windows . how many of the cars on the lot have neither power steering nor power windows ? 
Options: a ) 2 , b ) 8 , c ) 12 , d ) 15 , e ) 18
Output: c
Problem: the ratio of numbers is 3 : 4 and their h . c . f is 4 . their l . c . m is : 
Options: a ) 12 , b ) 16 , c ) 24 , d ) 48 , e ) 98
Output: d
Problem: one fast typist type some matter in 4 hrs and another slow typist type the same matter in 6 hrs . if both do combine in how much time they will take to finish . 
Options: a ) 10 hr , b ) 1 hr , c ) 2 hr 24 mins , d ) 3 hr 4 mins , e ) 4 hr 10 mins
Output: c
Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 2.5 . the factory holds a $ 62.50 worth stock of 22 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 31 , b ) 35 , c ) 21 , d ) 40 , e ) 45
Output: c
Problem: how many odd factors does 160 have ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output: a
Problem: the dimensions of a field are 10 m by 10 m . a pit 5 m long , 5 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? 
Options: a ) 2 m , b ) 2.5 m , c ) 1.5 m , d ) 1.25 m , e ) 1 m
Output: e
Problem: there are 10 slate rocks , 11 pumice rocks , and 4 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? 
Options: a ) 3 / 20 , b ) 5 / 26 , c ) 7 / 34 , d ) 9 / 37 , e ) 11 / 49
Output: a
Problem: there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability r that the both positions will be taken by members of just one party ? 
Options: a ) 1 / 25 , b ) 12 / 49 , c ) 1 / 4 , d ) 24 / 49 , e ) 1 / 2
Output: d
Problem: the price of precious stone is directly proportional to square of its weight . what will be the loss incurred if a stone weighing 28 gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15 : 13 ? 
Options: a ) no loss , b ) 10,000 , c ) 28,000 , d ) 9,500 , e ) 14,000
Output: e
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 3 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 179 : 2 , b ) 178 : 3 , c ) 179 : 1 , d ) 179 : 54 , e ) 179 : 45
Output: d
Problem: the compound ratio of 5 : 6 , 3 : 2 and 4 : 5 is ? 
Options: a ) 3 : 5 , b ) 2 : 7 , c ) 1 : 1 , d ) 1 : 4 , e ) none
Output: c
Problem: the simple form of the ratio 4 / 3 : 3 / 7 is ? 
Options: a ) 7 : 3 , b ) 10 : 3 , c ) 15 : 3 , d ) 25 : 3 , e ) 30 : 3
Output: a
Problem: 24 oz of juice p and 25 oz of juice t are mixed to make smothies x and y . the ratio of p to t in smothie x 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 x ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Output: d
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 $ 6.30 , what total number of apples and bananas did the customer purchase ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: c
Problem: a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.20 , what total number of apples and bananas did the customer purchase ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: c
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 222 grams of compound x ? 
Options: a ) 54 , b ) 185 , c ) 250 , d ) 270 , e ) 322
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 18 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 / 2 , d ) 7 / 25 , e ) 9 / 10
Output: d
Problem: in a class of 60 children , 30 % children can speak only english , 20 % hindi and english both and the rest of the children can speak only hindi . how many children can speak hindi ? 
Options: a ) 42 , b ) 36 , c ) 30 , d ) 48 , e ) none of these
Output: a
Problem: the simple form of the ratio 4 / 5 : 8 / 9 is ? 
Options: a ) 5 : 8 , b ) 4 : 9 , c ) 5 : 9 , d ) 5 : 3 , e ) 9 : 10
Output: e
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 72 . what is sum of the numbers ? 
Options: a ) 42 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Output: a
Problem: a and b play a game where each is asked to select a number from 1 to 16 . if the two numbers match , both of them win a prize . find the probability that they will not win a prize in a single trial . 
Options: a ) 15 / 16 , b ) 1 / 16 , c ) 7 / 8 , d ) 9 / 8 , e ) none of these
Output: a
Problem: if the ratio of a to b is 4 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: a
Problem: if 7 and 9 are factors of 60 n , what is the minimum value of n ? 
Options: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 21
Output: e
Problem: the simple form of the ratio 7 / 6 : 2 / 5 is ? 
Options: a ) 10 : 6 , b ) 10 : 3 , c ) 15 : 3 , d ) 25 : 3 , e ) 35 : 12
Output: e
Problem: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 9 th highest price and the 35 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 43 , b ) 28 , c ) 44 , d ) 49 , e ) 46
Output: a
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 red ? 
Options: a ) 1 / 10 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2
Output: b
Problem: the compound ratio of 2 : 3 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 4 : 5 , e ) 1 : 4
Output: d
Problem: in a certain alphabet , 8 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 ) 4 , b ) 8 , c ) 14 , d ) 20 , e ) 28
Output: b
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer w factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: the ratio of pens to pencils is 5 to 6 . there are 9 more pencils than pens . how many pencils are there ? 
Options: a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60
Output: d
Problem: in what ratio should a variety of rice costing rs . 6 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 / 68 , b ) 62 / 89 , c ) 12 / 68 , d ) 11 / 84 , e ) 5 / 6
Output: e
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 ! 
Options: a ) 13 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Output: a
Problem: you need to print a document of the area 216 sq cm . condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides . what is the optimized size of your paper ? 
Options: ['a ) 60 sq . cm', 'b ) 70 sq . cm', 'c ) 95 sq . cm', 'd ) 80 sq . cm', 'e ) 90 sq . cm']
Output: e
Problem: the present ages of reena and usha are 24 and 36 yr . respectively . what was the ratio between the ages of usha and reena respectively 8 yr ago ? 
Options: a ) 7 : 4 , b ) 4 : 7 , c ) 11 : 8 , d ) 8 : 11 , e ) 9 : 12
Output: a
Problem: how many of the positive factors of 26 , 16 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
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 r women are currently in the room ? 
Options: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36
Output: d
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 education to uneducated persons is 8 : 27 , then find the ratio of the number of educated and uneducated men in the colony ? 
Options: a ) 1 : 7 , b ) 1 : 1 , c ) 1 : 2 , d ) 1 : 9 , e ) 1 : 3
Output: e
Problem: a man invests some money partly in 9 % stock at 96 and partly in 12 % stock at 120 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none
Output: d
Problem: a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio . 
Options: a ) 35 : 44 , b ) 34 : 44 , c ) 22 : 44 , d ) 20 : 40 , e ) 50 : 45
Output: a
Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31
Output: c
Problem: sandy is younger than molly by 14 years . if the ratio of their ages is 7 : 9 , how old is sandy ? 
Options: a ) 42 , b ) 49 , c ) 56 , d ) 63 , e ) 70
Output: b
Problem: if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 14 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? 
Options: a ) 6 , b ) 16 , c ) 20 , d ) 30 , e ) 174
Output: c
Problem: presently the ratio between the ages of dan and james is 6 : 5 . after 4 years dan will be 28 . what is the present age of james ? 
Options: a ) 20 , b ) 19 , c ) 21 , d ) 18 , e ) 22
Output: a
Problem: of the 65 cars on a car lot , 45 have air - bag , 30 have power windows , and 12 have both air - bag and power windows . how many of the cars on the lot have neither air - bag nor power windows ? 
Options: a ) 8 , b ) 2 , c ) 10 , d ) 15 , e ) 18
Output: b
Problem: if 75 percent of a class answered the first question on a certain test correctly , 65 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? 
Options: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 60 %
Output: e
Problem: a student committee on academic integrity has 42 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: a
Problem: two numbers are in the ratio of 3 : 4 . if 12 be subtracted from each , they are in the ratio of 9 : 8 . find the numbers ? 
Options: a ) 6,9 , b ) 3,8 , c ) 6,7 , d ) 3,5 , e ) 3,4
Output: e
Problem: what number has a 150 : 1 ratio to the number 2 ? 
Options: a ) 130 , b ) 300 , c ) 200 , d ) 30 , e ) 75
Output: b
Problem: if 7 and 6 are factors of 60 n , what is the minimum value of n ? 
Options: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 56
Output: c
Problem: what is the square root of 625 , divided by 5 ? 
Options: a ) 9 , b ) 36 , c ) 5 , d ) 6 , e ) 1
Output: c
Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 100 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? 
Options: a ) 3 / 16,000 , b ) 1 / 4,800 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45
Output: b
Problem: the triplicate ratio of 1 : 2 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 : 2
Output: b
Problem: the compound ratio of 1 : 4 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 3 : 10 , e ) 1 : 4
Output: d
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 50 years . what is deepak present age 
Options: a ) 14 , b ) 15 , c ) 33 , d ) 22 , e ) 23
Output: c
Problem: the number of sailors on a ship is 50 % more than the number of officers . the ratio of sailors to officers would be 
Options: a ) 33 : 25 , b ) 47 : 20 , c ) 3 : 2 , d ) 22 : 25 , e ) 97 : 50
Output: c
Problem: what number has a 5 : 1 ratio to the number 12 ? 
Options: a ) 22 , b ) 50 , c ) 88 , d ) 52 , e ) 60
Output: e
Problem: half of the workers in palabras bookstore have read the latest book by j . saramago , and 5 / 8 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 56 workers in the palabras bookstore , how many of them have read both books ? 
Options: a ) 13 , b ) 12 , c ) 9 , d ) 8 , e ) 17
Output: e
Problem: if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers i 
Options: a ) 2 : 3 , b ) 2 : 5 , c ) 3 : 20 , d ) 20 : 3 , e ) none
Output: b
Problem: in a group of 95 students , 36 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? 
Options: a ) 9 , b ) 19 , c ) 23 , d ) 45 , e ) 27
Output: e
Problem: 110 people are attending a newspaper conference . 45 of them are writers and more than 38 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 ) 34 , b ) 32 , c ) 30 , d ) 26 , e ) 28
Output: d
Problem: a bag contains 6 red , 4 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 26 , d ) 5 / 22 , e ) 3 / 23
Output: d
Problem: there are 193 items that are members of set u . of these items , 41 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 ) 116 , b ) 85 , c ) 94 , d ) 98 , e ) 108
Output: a
Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 104 kilograms . what is the student ' s present weight in kilograms ? 
Options: a ) 70 , b ) 71 , c ) 72 , d ) 73 , e ) 74
Output: b
Problem: if 0.4 of a number is equal to 0.06 of another number , the ratio of the numbers is : 
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 3 : 20 , d ) 20 : 3 , e ) 22 : 1
Output: c
Problem: in a family 13 people eat only vegetarian , 8 people eat only non veg . , 6 people eat both veg and non veg . . how many people eat veg in the family ? 
Options: a ) 20 , b ) 11 , c ) 19 , d ) 31 , e ) 21
Output: c
Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number p and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31
Output: d
Problem: if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 2 , what is the ratio of apples to cucumbers ? 
Options: a ) 6 : 5 , b ) 1 : 4 , c ) 4 : 3 , d ) 2 : 3 , e ) 5 : 4
Output: e
Problem: in a group of 90 students , 36 are taking history , and 32 are taking statistics . if 57 students are taking history or statistics or both , then how many students are taking history but not statistics ? 
Options: a ) 9 , b ) 19 , c ) 25 , d ) 27 , e ) 31
Output: c
Problem: the h . c . f . of two numbers is 15 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : 
Options: a ) 225 , b ) 300 , c ) 299 , d ) 322 , e ) 345
Output: a
Problem: on multiplying a numberz 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: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 2 : 5 . the first number is : 
Options: a ) a ) 33 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62
Output: a
Problem: a garrison of 400 men had a provision for 31 days . after 27 days 200 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 65 days , b ) 45 days , c ) 8 days , d ) 16 days , e ) 18 days
Output: c
Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 14 and 16 . the larger of the two numbers is 
Options: a ) 276 , b ) 299 , c ) 312 , d ) 400 , e ) none
Output: d
Problem: in a school 10 % of the boys are same in number as 1 / 3 th of the girls . what is the ratio of boys to the girls in the school ? 
Options: a ) 5 : 2 , b ) 2 : 3 , c ) 10 : 3 , d ) 3 : 7 , e ) 2 : 5
Output: c
Problem: if x and y are both odd prime numbers andx < y , then how many different positive integer factors does 2 xyhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 12 , e ) 8
Output: e
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 52 black cars in the lot , how many red cars are there in the lot ? 
Options: a ) 11 , b ) 20 , c ) 24 , d ) 27 , e ) 32
Output: b
Problem: the ratio of the incomes of uma and bala is 8 : 7 and the ratio of their expenditure is 7 : 6 . if at the end of the year , each saves $ 2000 then the income of uma is ? 
Options: a ) $ 16800 , b ) $ 16500 , c ) $ 16000 , d ) $ 16300 , e ) $ 16200
Output: c
Problem: a person want to give his money of $ 12000 to his 5 children a , b , c , d , e in the ratio 2 : 4 : 3 : 1 : 5 . what is the d + e share ? 
Options: a ) $ 1800 , b ) $ 2800 , c ) $ 3800 , d ) $ 5800 , e ) $ 4800
Output: e
Problem: there are 14 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ? 
Options: a ) 1 / 5 , b ) 11 / 22 , c ) 81 / 724 , d ) 91 / 946 , e ) 101 / 987
Output: d
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 20000 , then find his savings ? 
Options: a ) rs . 3600 , b ) rs . 4000 , c ) rs . 3639 , d ) rs . 3632 , e ) rs . 3602
Output: b
Problem: find the ratio in which rice at rs . 7.00 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg 
Options: a ) 6 : 7 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 2 : 8
Output: a
Problem: a bag contains 9 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is 
Options: a ) 8 / 17 , b ) 2 / 5 , c ) 3 / 5 , d ) 11 / 15 , e ) 7 / 15
Output: a
Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 2 : 3 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 ) 99 : 61 , b ) 99 : 160 , c ) 61 : 160 , d ) 61 : 99 , e ) 99 : 160
Output: a
Problem: in a certain kindergarten , half of the children are allergic to peanuts , 10 children are not allergic to cashew nuts , 10 children are allergic to both peanuts and cashew nuts , and 18 children are allergic to cashew nuts . how many of the kindergarten ' s children are not allergic to peanuts and are not allergic to cashew nuts ? 
Options: a ) 14 , b ) 10 , c ) 8 , d ) 6 , e ) 4
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 24 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output: c
Problem: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 12 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 ) 4 : 7 , e ) 7 : 17
Output: e
Problem: what is the square root of 81 , divided by 3 ? 
Options: a ) 9 , b ) 36 , c ) 122 , d ) 3 , e ) 1
Output: d
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 : 2 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 8 : 6 , e ) 1 : 2
Output: d
Problem: a student committee on academic integrity has 56 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: b
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 2 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 ) 16 , c ) 32 , d ) 56 , e ) 60
Output: b
Problem: how many terminating zeroes t does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
Output: c
Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 12 people were made to stand in a column , how many columns could be formed ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: c
Problem: how many odd factors does 210 have ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Output: e
Problem: how many of the positive factors of 24 are not factors of 30 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 5
Output: c
Problem: the ratio of the adjacent angles of a parallelogram is 4 : 11 . 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 ) 132 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) none of these
Output: a
Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 240 . their h . c . f . is : 
Options: a ) 30 , b ) 20 , c ) 40 , d ) 60 , e ) 70
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 5 : 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: c
Problem: two vessels contains equal number of mixtures milk and water in the ratio 7 : 2 and 8 : 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 : 1 , d ) 11 : 3 , e ) 15 : 4
Output: c
Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 15 and 12 . the larger of the two numbers is 
Options: a ) 476 , b ) 399 , c ) 450 , d ) 322 , e ) none
Output: c
Problem: the ratio of buses to cars on river road is 1 to 3 . if there are 40 fewer buses than cars on river road , how many cars are on river road ? 
Options: a ) 60 , b ) 75 , c ) 85 , d ) 95 , e ) 105
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 . 490 , krishan has ? 
Options: a ) rs . 2890 , b ) rs . 2330 , c ) rs . 1190 , d ) rs . 1620 , e ) rs . 2680
Output: a
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 . 1200 , then what is the income of p 1 ? 
Options: a ) s . 800 , b ) s . 2400 , c ) s . 3000 , d ) s . 3200 , e ) s . 4200
Output: c
Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 217 , what is the common ratio of the g . p ? 
Options: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 6 , e ) 1 / 6
Output: d
Problem: the h . c . f . of two numbers is 42 and the other two factors of their l . c . m . are 12 and 14 . the larger of the two numbers is : 
Options: a ) 588 , b ) 642 , c ) 567 , d ) 344 , e ) 789
Output: a
Problem: 210 college students were asked in a survey if they preferred windows or mac brand computers . 60 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 . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? 
Options: a ) 25 , b ) 40 , c ) 50 , d ) 60 , e ) 75
Output: b
Problem: nitin ranks 24 th in a class of 58 students . what is rank from the last ? 
Options: a ) 33 , b ) 34 , c ) 32 , d ) 28 , e ) 19
Output: b
Problem: the ratio of length of two refill is 9 : 8.2 nd refill got damaged when only half length of 2 nd refill get used . the ratio of total no . of pages written by both refill . 
Options: a ) 8 : 3 , b ) 6 : 5 , c ) 9 : 8 , d ) 9 : 4 , e ) 5 : 4
Output: d
Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 7 to 2 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 ) 35 : 2
Output: e
Problem: john would make the 3 - letter codes with 26 alphabets in condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and both are consonant . how many cases of the codes are there ? 
Options: a ) 1,980 , b ) 2,020 , c ) 2,100 , d ) 2,200 , e ) 2,500
Output: c
Problem: two 6 faced dice are thrown together . the probability that both show the same number on them is ? 
Options: a ) 1 / 6 , b ) 1 / 12 , c ) 1 / 18 , d ) 1 / 2 , e ) 1 / 4
Output: a
Problem: the present ratio of students to teachers at a certain school is 70 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 ) 2 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: a
Problem: in a class , 9 students like to play basketball and 8 like to play cricket . 6 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ? 
Options: a ) 12 , b ) 11 , c ) 16 , d ) 18 , e ) 22
Output: b
Problem: 39 ! is divided by 41 then find the remainder ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: find the compound ratio of ( 2 : 3 ) , ( 3 : 4 ) and ( 1 : 4 ) is 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 1 : 8 , d ) 4 : 5 , e ) 3 : 2
Output: c
Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 55 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: a
Problem: of the 200 stamps in a collection , 90 are foreign and 70 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 ) 60 , b ) 80 , c ) 100 , d ) 130 , e ) 150
Output: a
Problem: share rs . 4320 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 900 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1440
Output: e
Problem: the l . c . m . of two numbers is 54 . the numbers are in the ratio 2 : 3 . then sum of the number is : 
Options: a ) 28 , b ) 32 , c ) 40 , d ) 45 , e ) 54
Output: d
Problem: if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? 
Options: a ) 2 : 3 , b ) 5 : 3 , c ) 5 : 6 , d ) 1 : 4 , e ) 3 : 4
Output: c
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 . 735 , krishan has ? 
Options: a ) s . 4335 , b ) s . 2330 , c ) s . 1190 , d ) s . 1620 , e ) s . 2680
Output: a
Problem: if log 1087.5 = 4.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 60 , b ) 28 , c ) 27 , d ) 26 , e ) 25
Output: a
Problem: the present ratio of students to teachers at a certain school is 45 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 ) 4 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: a
Problem: set x consists of the integers from 0 to 12 , inclusive , while set y consists of the integers from 6 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 4 , b ) 10 , c ) 5 , d ) 9 , e ) 8
Output: c
Problem: the ratio of income of anand to that of balu is 5 : 4 and the expenditure of anand to that of balu is 3 : 2 . if at the end of the year , each saves rs , 800 , the income of anand is : 
Options: a ) rs 1600 , b ) rs 1800 , c ) rs 2000 , d ) rs 2200 , e ) none of these
Output: c
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 108 grams of compound x ? 
Options: a ) 90 , b ) 162 , c ) 250 , d ) 270 , e ) 322
Output: a
Problem: three numbers are in the ratio 1.5 : 2 : 3.5 and their h . c . f is 18 . the numbers are : 
Options: a ) 22,36 , 63 , b ) 27,45 , 63 , c ) 27,54 , 63 , d ) 54 , 45 , 36 , e ) 27,36 , 63
Output: e
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 157 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 179.50 , d ) rs . 258.50 , e ) none of these
Output: c
Problem: find the ratio in which rice at rs . 10.0 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? 
Options: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 5 , d ) 4 : 5 , e ) none of these
Output: c
Problem: if 0.5 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 ) 3 : 20 , d ) 3 : 7 , e ) 9 : 50
Output: e
Problem: a person want to give his money of $ 4500 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? 
Options: a ) $ 2000 , b ) $ 1500 , c ) $ 2500 , d ) $ 1800 , e ) $ 1600
Output: b
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 16 and 17 . the larger of the two numbers is : 
Options: a ) 338 , b ) 278 , c ) 322 , d ) 231 , e ) 391
Output: e
Problem: 6 ) a marketing firm determined that , of 180 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 ) 10 , e ) e ) 45
Output: d
Problem: a cat leaps 5 leaps for every 4 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 ) 5 : 6 , b ) 3 : 2 , c ) 4 : 8 , d ) 1 : 2 , e ) 7 : 8
Output: a
Problem: how many multiples of 3 are there between 100 and 300 ( both are inclusive ) ? 
Options: a ) 67.6 , b ) 1.58 , c ) 2.47 , d ) 3.54 , e ) 6.51
Output: a
Problem: the ratio of boarders to day scholars at a school is 7 to 16 . however , after a few new students join the initial 560 boarders , the ratio changed to 1 to 2 , respectively . if no boarders became day scholars and vice versa , and no students left the school , how many boarders joined the school ? 
Options: a ) 48 , b ) 64 , c ) 70 , d ) 80 , e ) 84
Output: d
Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 3 : 1 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 4 : 3 , respectively . how many more acres of land were planted with tobacco under the new system ? 
Options: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450
Output: d
Problem: if log 2 = 0.30103 and log 3 = 0.4771 , find the number of digits in ( 648 ) 5 
Options: a ) 14.05 , b ) 14.02 , c ) 277 , d ) 288 , e ) 222
Output: a
Problem: the sub - duplicate ratio of 9 : 25 is 
Options: a ) 4 : 3 , b ) 1 : 2 , c ) 3 : 5 , d ) 1 : 4 , e ) 2 : 3
Output: c
Problem: two numbers are in the ratio 5 : 8 and thier h . c . f is 4 . find the numbers . 
Options: a ) 25 and 40 , b ) 20 and 32 , c ) 30 and 48 , d ) 15 and 24 , e ) 16 and 25
Output: b
Problem: a technology company made a $ 5 million profit on its first $ 15 million in sales and a $ 12 million profit on its next $ 30 million in sales . by what percent did the ratio of profit to sales increase from the first $ 15 million in sales to the next $ 30 million in sales ? 
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %
Output: b
Problem: a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 7 : 5 , d ) 16 : 15 , e ) none
Output: c
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 34 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Output: b
Problem: at a certain organisation , the number of male members went up by 12 % in the year 2001 from year 2000 , and the number of females members went down by 4 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? 
Options: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 2 : 1
Output: a
Problem: how many factors does 34 ^ 2 have ? 
Options: a ) 2 , b ) 8 , c ) 20 , d ) 25 , e ) 26
Output: c
Problem: if log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is : 
Options: a ) 0.6532 , b ) 0.7727 , c ) 0.3266 , d ) 0.3796 , e ) none of these
Output: a
Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many r acres were used for corn ? 
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
Output: c
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 31 : 1 , b ) 31 : 4 , c ) 31 : 8 , d ) 31 : 9 , e ) 31 : 2
Output: d
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 10 nor by 35 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
Output: d
Problem: the price of a car and ac are in the ratio 3 : 2 . if the scooter costs $ 500 more than the ac . then the price of the ac ? 
Options: a ) 1500 , b ) 200 , c ) 1700 , d ) 2000 , e ) 2500
Output: a
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.50 a kg to produce a mixture worth rs . 6.30 a kg 
Options: a ) 2 : 0 , b ) 2 : 3 , c ) 2 : 1 , d ) 8 : 9 , e ) 2 : 8
Output: d
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.60 a kg to produce a mixture worth rs . 6.30 a kg 
Options: a ) 2 : 0 , b ) 2 : 3 , c ) 2 : 1 , d ) 2 : 2 , e ) 7 : 9
Output: e
Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the cases . 
Options: a ) 4 : 3 , b ) 8 : 7 , c ) 4 : 1 , d ) 6 : 5 , e ) none of these
Output: b
Problem: the h . c . f . of two numbers is 20 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 ) 280 , c ) 322 , d ) 345 , e ) 354
Output: b
Problem: a family has two children . find the probability that both the children are girls given that at least one of them is a girl ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 3 / 7 , d ) 2 / 7 , e ) 3 / 7
Output: b
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 . 1600 , then what is the income of p 1 ? 
Options: a ) rs . 800 , b ) rs . 2400 , c ) rs . 4000 , d ) rs . 3200 , e ) rs . 4200
Output: c
Problem: in a class , 12 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 ) 17 , d ) 18 , e ) 22
Output: c
Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 11.67 and for 36 kgs of apples is 12.48 then the cost of first 10 kgs of apples is 
Options: a ) 3.69 , b ) 3.66 , c ) 3.6 , d ) 3.62 , e ) 3.61
Output: d
Problem: in a graduating class of 242 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 123
Output: e
Problem: there are 172 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? 
Options: a ) 83 , b ) 85 , c ) 87 , d ) 79 , e ) 89
Output: d
Problem: in a certain animal shelter , the ratio of the number of catsto the number of dogs is 15 to 7 . if 16 additional dogs were to be taken in by the shelter , the ratio of the number of cats to the number of dogs would be 15 to 11 . how many cats are in the shelter ? 
Options: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 60
Output: d
Problem: in a bag , there are 2400 ball , and their colors are red , green blue . . the ratio of the balls are 15 : 13 : 17 . then how many red color balls are available in the bag ? 
Options: a ) 900 , b ) 1600 , c ) 750 , d ) 890 , e ) 1010
Output: a
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 33 : 1 , b ) 33 : 7 , c ) 33 : 8 , d ) 33 : 5 , e ) 33 : 2
Output: b
Problem: if 63 percent of a class answered the first question on a certain test correctly , 50 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 ) 24 % , b ) 27 % , c ) 30 % , d ) 33 % , e ) 36 %
Output: d
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 w of the book ? 
Options: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018
Output: a
Problem: john , james and jim ' investment ratio in a business is 4 : 7 : 9 . if total total investment is 80000 . find jim ' s investment ? 
Options: a ) 35000 , b ) 40000 , c ) 16000 , d ) 36000 , e ) 60000
Output: d
Problem: share rs . 5400 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 1800 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1400
Output: a
Problem: in a class of 52 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? 
Options: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32
Output: a
Problem: how many different positive integers are factors of 20 ? 
Options: a ) 6 , b ) 8 , c ) 4 , d ) 10 , e ) 12
Output: c
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 17 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 391 , d ) 345 , e ) 355
Output: c
Problem: if exactly 7 guests drank only one of the two types of drinks , how many guests drank both types of drinks ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 4 , e ) 2
Output: e