niryuu/sni-each-converted huggingface dataset:
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 50 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 5 , c ) 4 , d ) 6 , e ) 8
Output: b
Problem: what is log 3 ( 4 ) log 4 ( 5 ) . . . log 80 ( 81 ) ? 
Options: a ) 1 , b ) 4 , c ) 81 , d ) log 80 243 , e ) e 81
Output: b
Problem: a class consists of 15 biology students and 10 chemistry students . if you pick two students at the same time , what ' s the probability that one is maths and one is chemistry ? 
Options: a ) 2 / 7 , b ) 5 / 7 , c ) 1 / 2 , d ) 3 / 7 , e ) 1 / 2
Output: c
Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 5 : 3 . someone removes 5 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: d
Problem: what is the factorial of 5 ? 
Options: a ) 1 , b ) 60 , c ) 120 , d ) 130 , e ) 180
Output: c
Problem: income and expenditure of a person are in the ratio 15 : 8 . if the income of the person is rs . 15000 , then find his savings ? 
Options: a ) 6999 , b ) 7000 , c ) 7001 , d ) 7002 , e ) 7003
Output: b
Problem: doughnuts , cookies and muffins in a pastry shop are in the ratio of 5 : 3 : 1 . if there are 50 doughnuts , the number of muffins in the shop is : . 
Options: a ) 25 , b ) 30 , c ) 10 , d ) 15 , e ) 20
Output: c
Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 3 : 5 . what is the ratio of the smaller number to the larger ? 
Options: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3
Output: a
Problem: if below equation are true 24 $ 6 = 64 35 $ 5 = 87 63 $ 7 = 99 by using same logic what is the value of the below question 88 $ 8 = ? 
Options: a ) 1621 , b ) 1711 , c ) 1611 , d ) 1511 , e ) 1311
Output: c
Problem: of the diplomats attending a summit conference , 22 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? 
Options: a ) 72 , b ) 96 , c ) 100 , d ) 120 , e ) 150
Output: c
Problem: if n is the greatest positive integer for which 4 ^ n is a factor of 8 ! , then n = ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: a
Problem: at a certain zoo , the ratio of sea lions to penguins is 4 to 11 . if there are 84 more penguins than sea lions at the zoo , how many sea lions are there ? 
Options: a ) 24 , b ) 36 , c ) 48 , d ) 72 , e ) 132
Output: c
Problem: find the fraction which has the same ratio to 2 / 5 that 3 / 7 has to 6 / 5 
Options: a ) 2 / 4 , b ) 6 / 78 , c ) 4 / 7 , d ) 3 / 5 , e ) 1 / 7
Output: e
Problem: if all 6 are replaced by 9 , the algebric sum of all numbers from 1 to 100 ( both inclusive ) varies by , 
Options: a ) 980 , b ) 330 , c ) 660 , d ) 990 , e ) 300
Output: b
Problem: the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ? 
Options: a ) 5.2 , b ) 6.9 , c ) 9.6 , d ) 7.8 , e ) 4.7
Output: c
Problem: the ratio of flour to water to sugar in a recipe is 10 : 6 : 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 ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: b
Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 15000 , then find the annual income of a ? 
Options: a ) 187888 , b ) 276889 , c ) 267777 , d ) 504000 , e ) 297112
Output: d
Problem: if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ? 
Options: a ) 62.45 % , b ) 64.55 % , c ) 66.65 % , d ) 68.75 % , e ) 70.85 %
Output: d
Problem: a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability w that both selected dogs are not littermates ? 
Options: a ) 1 / 6 , b ) 2 / 9 , c ) 5 / 6 , d ) 7 / 9 , e ) 8 / 9
Output: c
Problem: the triplicate ratio of 3 : 5 is ? 
Options: a ) 27 : 125 , b ) 1 : 62 , c ) 1 : 34 , d ) 3 : 64 , e ) 5 : 64
Output: a
Problem: in a ratio which is equal to 4 : 6 , if the antecedent is 30 , then the consequent is ? 
Options: a ) 72 , b ) 85 , c ) 64 , d ) 51 , e ) 45
Output: e
Problem: the ratio between the current age of a and b is 6 : 7 . if b is 4 years old than a . what will be the ratio of the ages of a and b after 4 years ? 
Options: a ) 7 : 8 , b ) 8 : 9 , c ) 4 : 6 , d ) 4 : 8 , e ) 5 : 8
Output: a
Problem: how many zeros are the end of 380 ! ? 
Options: a ) 90 , b ) 91 , c ) 94 , d ) none , e ) 95
Output: c
Problem: if log 27 = 1.431 , then the value of log 9 is : 0.934 b . 0.945 c . 0.954 d . 0.958 
Options: a ) 0.954 , b ) 0.93 , c ) 0.933 , d ) 0.96 , e ) 0.974
Output: a
Problem: at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 11 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Output: d
Problem: in the third grade of windblown school there are 90 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? 
Options: a ) 0 . , b ) 6 . , c ) 8 . , d ) 10 . , e ) 12 .
Output: a
Problem: the cost of 3 pens and 5 pencils is rs . 340 . also the cost of one pen and one pencil is in the ratio of 4 : 1 respectively . what is the cost of one dozen pens ? 
Options: a ) rs . 960 , b ) rs . 250 , c ) rs . 300 , d ) rs . 150 , e ) none of these
Output: a
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 9 and 10 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 230 , d ) 345 , e ) 395
Output: c
Problem: in a zoo , the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same 5 years ago . if the increase in the number of cheetahs in the zoo since then is 2 , then what is the increase in the number of pandas ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 15
Output: d
Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 13000 , then find the annual income of a ? 
Options: a ) rs . 420000 , b ) rs . 180000 , c ) rs . 436800 , d ) rs . 504000 , e ) none of these
Output: c
Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? 
Options: a ) 1 : 4 , b ) 16 : 9 , c ) 2 : 3 , d ) 1 : 2 , e ) 2 : 5
Output: b
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter q of liquid a was contained by the can initially ? 
Options: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27
Output: c
Problem: a certain fraction has the same ratio to 1 / 33 , as 3 / 4 does to 7 / 11 . what is this certain fraction ? 
Options: a ) 1 / 14 , b ) 1 / 18 , c ) 1 / 21 , d ) 1 / 25 , e ) 1 / 28
Output: e
Problem: in a certain alphabet , 16 letters contain a dot and a straight line . 30 letters contain a straight line but do not contain a dot . if that alphabet has 50 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 ) 12 , d ) 16 , e ) 20
Output: a
Problem: how many prime numbers between 1 and 100 are factors of 7,150 ? 
Options: a ) one , b ) two , c ) three , d ) four , e ) five
Output: d
Problem: the ratio of three numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the three numbers is ? 
Options: a ) 24 , b ) 26 , c ) 27 , d ) 400 , e ) 30
Output: d
Problem: find the fraction which has the same ratio to 2 / 6 that 3 / 4 has to 1 / 2 
Options: a ) 1 / 2 , b ) 2 / 5 , c ) 6 / 8 , d ) 9 / 4 , e ) 7 / 5
Output: a
Problem: a bag holds 4 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 ) 4 / 14 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2
Output: a
Problem: susan finds that she spends her free time during summer vacation between swimming , reading , and hanging out with friends in a ratio of 1 : 4 : 10 . how many hours did she spend reading if she hung out with her friends for 20 hours ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 8 , e ) 10
Output: d
Problem: how many different positive integers are factors of 256 ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 16 , e ) 18
Output: d
Problem: the hcf of two numbers is 52 and the other two factors of their lcm are 11 and 12 . what is the largest number . 
Options: a ) 624 , b ) 450 , c ) 480 , d ) 504 , e ) 555
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 9 / 16 . how many marbles are in the bag ? 
Options: a ) 48 , b ) 24 , c ) 60 , d ) 72 , e ) 84
Output: a
Problem: sandy is younger than molly by 16 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: c
Problem: a certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? 
Options: a ) 42 , b ) 70 , c ) 140 , d ) 180 , e ) 315
Output: d
Problem: two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fourth widget , starting with the fourth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 50 , b ) 52 , c ) 53 , d ) 55 , e ) 56
Output: c
Problem: rs . 1581 is divided among a , b and c in the ratio 10 : 15 : 6 . what is the share of b ? 
Options: a ) 306 , b ) 765 , c ) 700 , d ) 510 , e ) 520
Output: a
Problem: a certain bag contains 60 balls — 22 white , 18 green , 2 yellow , 15 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? 
Options: a ) 0.7 , b ) 0.15 , c ) 0.54 , d ) 0.85 , e ) 0.91
Output: a
Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number w of people surveyed by the company ? 
Options: a ) 46 , b ) 80 , c ) w . 90 , d ) w . 100 , e ) 200
Output: d
Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 80 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 / 8,100 , c ) 1 / 600 , d ) 1 / 90 , e ) 2 / 45
Output: c
Problem: sandy is younger than molly by 14 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? 
Options: a ) 36 , b ) 45 , c ) 54 , d ) 63 , e ) 72
Output: d
Problem: of the people who responded to a market survey , 360 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 9 to 1 , how many people responded to the survey ? 
Options: a ) 80 , b ) 160 , c ) 240 , d ) 360 , e ) 400
Output: e
Problem: the value of log 5 ( 1 / 125 ) is : 
Options: a ) 3 , b ) - 3 , c ) 1 / 3 , d ) - 1 / 3 , e ) none of these
Output: b
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 7 . what could be the ratio of cats to dogs in the pet store ? 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 28 : 35 , d ) 2 : 5 , e ) 4 : 6
Output: c
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 750 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? 
Options: ['a ) 3.84', 'b ) 1.75', 'c ) 3.36', 'd ) 2.72', 'e ) none of these']
Output: c
Problem: in a class of 38 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? 
Options: a ) 6 , b ) 8 , c ) 9 , d ) 12 , e ) 14
Output: c
Problem: find the common factors of 15 and 18 . 
Options: a ) 50 , b ) 55 , c ) 60 , d ) 70 , e ) 90
Output: e
Problem: if shares of two persons in profits are rs . 600 and rs . 300 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 2 : 1
Output: e
Problem: in a class total 34 students , 16 are have a brother , 15 are have sisters , 9 students do n ' t have either brothers or sisters . find the number of students having both brother and sisters . 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: c
Problem: a person want to give his money of $ 5400 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? 
Options: a ) $ 2000 , b ) $ 1800 , c ) $ 2500 , d ) $ 1500 , e ) $ 1600
Output: b
Problem: the ratio of 3 numbers is 5 : 3 : 4 and their sum is 108 . the second number of the 3 numbers is ? 
Options: a ) 23 , b ) 27 , c ) 30 , d ) 32 , e ) 34
Output: b
Problem: mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 24 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ? 
Options: a ) 18 , b ) 19 , c ) 22 , d ) 20 , e ) 19
Output: c
Problem: a boy multiplied 987 by a certain number and obtained 559981 as his answer . if in the answer both 9 are wrong and the other digits are correct , then the correct answer would be : 
Options: a ) 553681 , b ) 555181 , c ) 555681 , d ) 556581 , e ) 556881
Output: c
Problem: what is the square root of 9 ? 
Options: a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 9
Output: b
Problem: the compound ratio of 1 : 3 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 2 : 5 , e ) 1 : 4
Output: d
Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 6 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? 
Options: a ) 12 , b ) 9 , c ) 15 , d ) 21 , e ) 30
Output: a
Problem: 200 liters of a mixture contains milk and water in the ratio 4 : 1 . if 20 liters of this mixture be replaced by 20 liters of milk , the ratio of milk to water in the new mixture would be ? 
Options: a ) 6 : 1 , b ) 1 : 6 , c ) 2 : 3 , d ) 3 : 2 , e ) 4 : 1
Output: a
Problem: in a class of 36 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? 
Options: a ) 7 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Output: a
Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 2.00 , what total number of pens and pencils did the customer purchase ? 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: a
Problem: tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 163 per kg , the price of the third variety per kg will be 
Options: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 185.50 , d ) rs . 180 , e ) none
Output: c
Problem: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.80 , what total number of pens and pencils did the customer purchase ? 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: a
Problem: the present ratio of students to teachers at a certain school is 40 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: a
Problem: in what ratio should a variety of rice costing rs . 5.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? 
Options: a ) 5 / 6 , b ) 5 / 9 , c ) 5 / 1 , d ) 5 / 8 , e ) 7 / 6
Output: d
Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 128 more girls than boys , how many boys are there ? 
Options: a ) 27 , b ) 36 , c ) 45 , d ) 72 , e ) 80
Output: e
Problem: if 2 tic equals 3 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ? 
Options: a ) 15 / 2 , b ) 6 / 5 , c ) 21 / 4 , d ) 3 / 10 , e ) 1 / 15
Output: c
Problem: the ratio of the two natural numbers is 6 : 5 . if a certain number is subtracted to both the numbers , the ratio becomes 5 : 4 . if the larger number exceeds the smaller number by 5 , find the number subtracted ? 
Options: a ) 8 , b ) 5 , c ) 15 , d ) 22 , e ) 6
Output: b
Problem: a bag contains 4 red , 6 blue and 3 green balls . if 3 balls are picked at random , what is the probability that both are blue ? 
Options: a ) 11 / 144 , b ) 12 / 455 , c ) 10 / 143 , d ) 11 / 125 , e ) 14 / 368
Output: c
Problem: if 50 % 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 ) 560 , b ) 540 , c ) 520 , d ) 440 , e ) 500
Output: d
Problem: a starts business with rs . 35000 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ? 
Options: a ) 22378 , b ) 279889 , c ) 2788 , d ) 9000 , e ) 2882
Output: d
Problem: in a group of 650 readers who read science fiction or literacy works or both , 250 read science fiction and 550 read literacy works . how many read both science fiction and literacy works ? 
Options: a ) 650 , b ) 250 , c ) 150 , d ) 100 , e ) 400
Output: c
Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 84 . the first number is 
Options: a ) 60 , b ) 45 , c ) 21 , d ) 15 , e ) none
Output: c
Problem: 18 balls are numbered 1 to 18 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ? 
Options: a ) 2 / 9 , b ) 4 / 17 , c ) 6 / 29 , d ) 8 / 35 , e ) 10 / 43
Output: b
Problem: a 40 kg metal bar made of alloy of tin and silver lost 4 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? 
Options: a ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3
Output: e
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 700 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? 
Options: a ) 3.84 , b ) 1.75 , c ) 3.28 , d ) 2.72 , e ) none of these
Output: c
Problem: a bag contains 6 red , 5 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 2 / 13 , b ) 3 / 17 , c ) 5 / 26 , d ) 5 / 21 , e ) 7 / 15
Output: c
Problem: the simple form of the ratio 5 / 3 : 2 / 5 is ? 
Options: a ) 10 : 6 , b ) 10 : 3 , c ) 25 : 6 , d ) 25 : 3 , e ) 30 : 3
Output: c
Problem: the ratio of 2 numbers is 1 : 2 and their h . c . f . is 10 . their l . c . m . is ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 50 , e ) 40
Output: b
Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did ingrid bake ? 
Options: a ) 0.125 % , b ) 1.25 % , c ) 31.7 % , d ) 125 % , e ) 0.152 %
Output: c
Problem: if log 10 2 = 0.30103 , find the value of log 10 50 
Options: a ) 1.69897 , b ) 2.69897 , c ) 1.99897 , d ) 0.69897 , e ) 5.69897
Output: a
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8 . if the shop carries 330 dogs and bunnies total in stock , how many dogs are there ? 
Options: a ) 42 , b ) 66 , c ) 98 , d ) 112 , e ) 154
Output: e
Problem: what is the number of integers from 1 to 500 ( inclusive ) that are divisible by neither 10 nor by 15 ? 
Options: a ) 170 , b ) 250 , c ) 300 , d ) 560 , e ) 420
Output: e
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is two times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 18 : 8
Output: e
Problem: how many multiples of 2 are there between 10 and 100 ( both are inclusive ) ? 
Options: a ) 2 , b ) 7 , c ) 6 , d ) 46 , e ) 3
Output: d
Problem: the ratio of three numbers is 2 : 3 : 5 and their sum is 150 . the second number of the three numbers is ? 
Options: a ) 24 , b ) 26 , c ) 27 , d ) 29 , e ) 45
Output: e
Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 14000 , then find the annual income of a ? 
Options: a ) rs . 420000 , b ) rs . 180000 , c ) rs . 201600 , d ) rs . 470400 , e ) none of these
Output: d
Problem: find the compound ratio of ( 3 : 2 ) , ( 4 : 3 ) and ( 1 : 4 ) is 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 3 : 2
Output: a
Problem: divide rs . 32000 in the ratio 3 : 9 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 8000 , 24000
Output: e
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 22 years . what is deepak present age ? 
Options: a ) 22 , b ) 15 , c ) 77 , d ) 266 , e ) 12
Output: e
Problem: a garrison of 300 men had a provision for 31 days . after 28 days 280 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 45 days , b ) 55 days , c ) 35 days , d ) 25 days , e ) 40 days
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 w 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: ratio between rahul and deepak is 4 : 3 , after 22 years rahul age will be 26 years . what is deepak present age 
Options: a ) 10 , b ) 3 , c ) 5 , d ) 7 , e ) 8
Output: b
Problem: a man invests some money partly in 12 % stock at 108 and partly in 10 % stock at 60 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 3 : 4 , b ) 3 : 2 , c ) 4 : 5 , d ) 16 : 15 , e ) none
Output: b
Problem: a survey was taken among 100 brainiacs . of those surveyed , twice as many brainiacs likerebus teasers as math teasers . if 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser , how many brainiacs like math teasers but not rebus teasers ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Output: d
Problem: in a school having roll strength 286 , the ratio of boys and girls is 8 : 5 . if 22 more girls get admitted into the school , the ratio of boys and girls becomes 
Options: ['a ) 12 : 7', 'b ) 10 : 7', 'c ) 8 : 7', 'd ) 4 : 3', 'e ) none']
Output: d
Problem: if 0.4 of a number is equal to 0.07 of another number , the ratio of the numbers i 
Options: a ) 2 : 3 , b ) 7 : 40 , c ) 3 : 20 , d ) 20 : 3 , e ) none
Output: b
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 5 : 1 and 6 : 4 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . 
Options: a ) 12 : 5 , b ) 11 : 5 , c ) 13 : 5 , d ) 14 : 5 , e ) 9 : 5
Output: b
Problem: the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 10 of her stamps , the ration of the number of kaye had to the number of alberto had was 3 : 2 . as a result of the gift , kaye had how many more stamps than alberto ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 60 , e ) 80
Output: e
Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , 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: b
Problem: at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 15 th highest price and the 22 nd lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 34 , b ) 35 , c ) 36 , d ) 37 , e ) 38
Output: c
Problem: in a ratio which is equal to 3 : 4 , if the antecedent is 12 , then the consequent is ? 
Options: a ) 12 , b ) 16 , c ) 20 , d ) 22 , e ) 25
Output: b
Problem: in a class of 40 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: c
Problem: there are two positive numbers in the ratio 7 : 11 . if the larger number exceeds the smaller by 16 , then find the smaller number ? 
Options: a ) 25 , b ) 26 , c ) 30 , d ) 24 , e ) 28
Output: e
Problem: how many zeros does 50 ! end with ? 
Options: a ) 20 , b ) 24 , c ) 25 , d ) 12 , e ) 32
Output: d
Problem: forks , spoons , and knives in drawer are in the ratio of 4 : 4 : 3 . if there are 16 forks , the number of knives in the drawer is : 
Options: a ) 8 , b ) 4 , c ) 12 , d ) 16 , e ) 14
Output: c
Problem: the ratio of the incomes of a and b is 2 : 3 and the ratio of their expenditure is 1 : 2 . if at the end of the year , each saves $ 500 then the income of a is ? 
Options: a ) $ 1000 , b ) $ 1500 , c ) $ 1200 , d ) $ 900 , e ) $ 1100
Output: a
Problem: a starts business with rs . 3500 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ' s contribution in the capital 
Options: a ) rs 9000 , b ) rs 7000 , c ) rs 5000 , d ) rs 4000 , e ) none of these
Output: a
Problem: in a class of 87 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ? 
Options: a ) 6 , b ) 15 , c ) 24 , d ) 33 , e ) 54
Output: d
Problem: veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 35 students have failed the examination ? 
Options: a ) 88 , b ) 108 , c ) 110 , d ) 75 , e ) 93
Output: d
Problem: the ratio of buses to cars on river road is 1 to 3 . if there are 20 fewer buses than cars on river road , how many cars are on river road ? 
Options: a ) 100 , b ) 120 , c ) 140 , d ) 30 , e ) 150
Output: d
Problem: 10 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 ) 1260
Output: e
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 5 : 4 . the ratio of economy cars to sport utility vehicles is 3 : 2 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 6 : 5 , d ) 2 : 3 , e ) 1 : 2
Output: c
Problem: veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ? 
Options: a ) 88 , b ) 108 , c ) 110 , d ) 90 , e ) 93
Output: a
Problem: set a consists of the integers from 4 to 15 , 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: e
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 7 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? 
Options: a ) 18 , b ) 28 , c ) 32 , d ) 56 , e ) 58
Output: d
Problem: how many zeros does 100 ! end with ? 
Options: a ) 20 , b ) 24 , c ) 25 , d ) 30 , e ) 32
Output: b
Problem: find the compound ratio of ( 2 : 3 ) , ( 5 : 3 ) and ( 2 : 5 ) is 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 9 , e ) 3 : 2
Output: d
Problem: if 35 % of the 840 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 ) 546 , b ) 550 , c ) 555 , d ) 532 , e ) 515
Output: a
Problem: from a container having pure milk , 20 % is replaced by water and the process is repeated thrice . at the end of the third operation , the milk is ? 
Options: a ) 45 % , b ) 49.6 % , c ) 51.2 % , d ) 55 % , e ) 60.3 %
Output: c
Problem: the ratio of boys to girl in a school is 5 : 4 . if there are 1500 boys in the school , how many girls are there ? 
Options: a ) 300 , b ) 1200 , c ) 1500 , d ) 1800 , e ) 2000
Output: b
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is ? 
Options: a ) 40 , b ) 99 , c ) 88 , d ) 44 , e ) 11
Output: a
Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 120 girls , the total number of students in the college is ? 
Options: a ) 312 , b ) 356 , c ) 452 , d ) 416 , e ) 512
Output: a
Problem: a person want to give his money of $ 2700 to his 3 children a , b , c in the ratio 5 : 6 : 9 . what is the a + c share ? 
Options: a ) $ 1890 , b ) $ 2002 , c ) $ 3500 , d ) $ 1500 , e ) $ 5640
Output: a
Problem: the hcf of two numbers is 62 and the other two factors of their lcm are 11 and 12 . what is the largest number . 
Options: a ) 462 , b ) 744 , c ) 480 , d ) 504 , e ) 555
Output: b
Problem: how many days per calendar year is the month a factor of the day 
Options: a ) 0 , b ) 1 , c ) 59 , d ) 90 , e ) 124
Output: e
Problem: 14 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 ) 2548
Output: e
Problem: the number of stamps that p and q had were in the ratio of 7 : 2 respectively . after p gave q 15 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 2 : 1 . as a result of the gift , p had how many more stamps than q ? 
Options: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 65
Output: c
Problem: if a positive integer n has 211 factors , then how many prime factors does n have ? 
Options: a ) 3 , b ) 2 , c ) can not be determined , d ) 4 , e ) 1
Output: e
Problem: the dimensions of a field are 20 m by 10 m . a pit 8 m long , 5 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? 
Options: ['a ) 1 m', 'b ) 2 m', 'c ) 0.5 m', 'd ) 0.75 m', 'e ) 1.5 m']
Output: c
Problem: find the fraction which has the same ratio to 2 / 3 that 3 / 5 has to 6 / 7 
Options: a ) 1 / 5 , b ) 2 / 22 , c ) 3 / 4 , d ) 7 / 15 , e ) 5 / 6
Output: d
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 600 . their h . c . f is ? 
Options: a ) 10 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: a
Problem: a bag contains 5 red , 6 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 2 / 15 , b ) 2 / 21 , c ) 5 / 26 , d ) 3 / 29 , e ) 4 / 27
Output: b
Problem: two vessels contains equal number of mixtures milk and water in the ratio 5 : 2 and 6 : 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 ) 15 : 4
Output: d
Problem: 3 numbers are in the ratio 3 : 5 : 7 . the largest number value is 70 . find difference between smallest & largest number is ? 
Options: a ) 40 , b ) 45 , c ) 35 , d ) 30 , e ) 50
Output: a
Problem: the ratio of length to width of a rectangular showroom window is 3.3 to 2 . if the width of the window is 8 feet , what is the approximate length of the display in feet ? 
Options: ['a ) 7', 'b ) 11', 'c ) 13', 'd ) 16', 'e ) 26']
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 8 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 : 3
Output: b
Problem: how many trailing zeros will be there after the rightmost non - zero digit in the value of 25 ! ( factorial 25 ) ? 
Options: a ) 25 , b ) 8 , c ) 6 , d ) 5 , e ) 2
Output: c
Problem: the ratio of numbers is 4 : 5 and their h . c . f is 4 . their l . c . m is : 
Options: a ) 80 , b ) 16 , c ) 24 , d ) 48 , e ) 98
Output: a
Problem: x starts a business with rs . 56000 . y joins in the business after 4 months with rs . 44000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 21 : 11 , b ) 11 : 21 , c ) 22 : 23 , d ) 25 : 23 , e ) none of these
Output: a
Problem: there are 30 students in a classroom . the ratio of the # of girls to boys was 1 : 2 , how many boys are there ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: c
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 98 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 91 , b ) 59 , c ) 53 , d ) 47 , e ) 45
Output: c
Problem: if log 10 2 = 0.3010 , the value of log 10 80 is : 
Options: a ) 1.5252 , b ) 1.903 , c ) 3.9252 , d ) 3.903 , e ) 2.5252
Output: b
Problem: what number has a 5 : 1 ratio to the number 9 ? 
Options: a ) 45 , b ) 50 , c ) 88 , d ) 52 , e ) 12
Output: a
Problem: he ratio between the sale price and the cost price of an article is 5 : 6 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 6 , b ) 1 : 8 , c ) 1 : 6 , d ) 2 : 1 , e ) 2 : 5
Output: c
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 18 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter of liquid a was contained by the can initially ? 
Options: a ) 32 , b ) 52 , c ) 62 , d ) 42 , e ) 48
Output: d
Problem: 200 college students were asked in a survey if they preferred windows or mac brand computers . 70 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 . 80 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? 
Options: a ) 25 , b ) 50 , c ) 57 , d ) 60 , e ) 75
Output: b
Problem: the ratio of 2 numbers is 3 : 4 and their h . c . f . is 4 . their l . c . m . is ? 
Options: a ) 20 , b ) 24 , c ) 48 , d ) 36 , e ) 60
Output: c
Problem: if w is the set of all the integers between 39 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 ) 40
Output: e
Problem: in a class , 10 students like to play basketball and 8 like to play cricket . 4 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 ) 14
Output: e
Problem: divide rs . 32000 in the ratio 1 : 9 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 3200 , 28800 , e ) 12000 , 20001
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 20 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: the ratio of 2 numbers is 2 : 7 and their h . c . f . is 18 . their l . c . m . is ? 
Options: a ) 252 , b ) 243 , c ) 521 , d ) 361 , e ) 600
Output: a
Problem: in a group of 7 boys and 8 girls , 5 members are to be selected . in how many different ways can they be selected such that at least 3 boys should be there ? 
Options: a ) 1200 , b ) 1500 , c ) 1281 , d ) 1339 , e ) 1296
Output: c
Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 276 . what is their h . c . f . ? 
Options: a ) 18 , b ) 23 , c ) 28 , d ) 32 , e ) 36
Output: b
Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 110 kilograms . what is the student ' s present weight in kilograms ? 
Options: a ) 71 , b ) 72 , c ) 73 , d ) 74 , e ) 75
Output: e
Problem: in a certain kindergarten , every child has got either a dog or a cat or both . 18 children have got dogs only and 6 children have got both dogs and cats . if there are 30 children in the kindergarten , how many of them have cats ? 
Options: a ) 6 , b ) 12 , c ) 14 , d ) 16 , e ) 20
Output: b
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 5 : 3 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 10 : 9
Output: e
Problem: ratio between rahul and deepak is 4 : 3 , after 2 years rahul age will be 26 years . what is deepak present age . 
Options: a ) 14 , b ) 18 , c ) 20 , d ) 22 , e ) 24
Output: b
Problem: how many of the positive factors of 85 , 105 and how many common factors are there in numbers ? 
Options: a ) 5 , b ) 4 , c ) 2 , d ) 3 , e ) 1
Output: c
Problem: how many of the positive factors of 24 are not factors of 26 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 1 , e ) 6
Output: e
Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150
Output: a
Problem: if number divisible by both 3 and 2 , then the same number divisible by which number ? 
Options: a ) 4 , b ) 5 , c ) 8 , d ) 6 , e ) 9
Output: d
Problem: 12 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 ) 1600 , e ) 1848
Output: e
Problem: the h . c . f and l . c . m of two numbers are 84 and 21 respectively . if the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is : 
Options: a ) 12 , b ) 24 , c ) 84 , d ) 48 , e ) 42
Output: c
Problem: in the class of 50 students , 30 speak tamil and 40 speak telugu . what is the lowest possible number of students who speak both the languages ? 
Options: a ) a ) 8 , b ) b ) 10 , c ) c ) 20 , d ) d ) 30 , e ) e ) 32
Output: c
Problem: a certain fraction has the same ratio to 1 / 18 , as 2 / 5 does to 7 / 9 . what is this certain fraction ? 
Options: a ) 1 / 20 , b ) 1 / 25 , c ) 1 / 30 , d ) 1 / 35 , e ) 1 / 40
Output: d
Problem: 200 pupil total , out of 125 like pizza , 115 like burger , then how many like both ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Output: a
Problem: each man in a gang of 100 investors has investments ineither equities or securities or both . exactly 2525 of the investors in equities haveinvestments in securities , exactly 4040 of the investorsin securities have investments inequities . how many have investmentsin equities ? 
Options: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 120
Output: b
Problem: the ratio of the adjacent angles of a parallelogram is 5 : 13 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
Options: a ) 168 ° , b ) 134 ° , c ) 156 ° , d ) 224 ° , e ) none of these
Output: b
Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 120 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 / 8,000 , c ) 3 / 1,600 , d ) 1 / 90 , e ) 2 / 45
Output: b
Problem: the number of sailors on a ship is 85 % more than the number of officers . the ratio of sailors to officers would be 
Options: a ) 37 : 20 , b ) 47 : 20 , c ) 47 : 25 , d ) 22 : 25 , e ) 97 : 50
Output: a
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 19 boys and 41 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? 
Options: a ) 2 , b ) 7 , c ) 6 , d ) 8 , e ) 10
Output: b
Problem: the compound ratio of 5 : 7 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 7 , b ) 6 : 5 , c ) 6 : 7 , d ) 4 : 7 , e ) 6 : 9
Output: c
Problem: in a group of 89 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 ) 27 , d ) 26 , e ) 31
Output: c
Problem: in a class of 210 students , 70 did not opt for math . 55 did not opt for science and 42 did not opt for either . how many students of the class opted for both math and science ? 
Options: a ) 123 , b ) 125 , c ) 127 , d ) 137 , e ) 148
Output: c
Problem: the ratio of the adjacent angles of a parallelogram is 6 : 9 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
Options: a ) 168 ° , b ) 228 ° , c ) 156 ° , d ) 224 ° , e ) none of these
Output: c
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 r of the book ? 
Options: a ) 3003 , b ) 3027 , c ) 3024 , d ) 3021 , e ) 3018
Output: a
Problem: at a certain organisation , the number of male members went up by 14 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? 
Options: a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 3 , d ) 3 : 2 , e ) 4 : 7
Output: e
Problem: what number has a 5 : 1 ratio to the number 8 ? 
Options: a ) 22 , b ) 40 , c ) 88 , d ) 52 , e ) 12
Output: b
Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? 
Options: a ) 4 : 9 , b ) 4 : 3 , c ) 3 : 7 , d ) 2 : 5 , e ) 1 : 6
Output: a
Problem: sachin is younger than rahul by 4 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ? 
Options: a ) 24.9 , b ) 24.6 , c ) 24.2 , d ) 24.8 , e ) 24.5
Output: e
Problem: a garrison of 400 men had a provision for 31 days . after 20 days 180 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 ) 20 days , d ) 16 days , e ) 18 days
Output: c
Problem: the compound ratio of 7 : 6 , 3 : 2 and 4 : 5 ? 
Options: a ) 7 : 5 , b ) 1 : 87 , c ) 1 : 6 , d ) 1 : 9 , e ) 1 : 2
Output: a
Problem: what is the number of integers from 1 to 100 ( inclusive ) that are divisible by neither 5 nor by 6 ? 
Options: a ) 35 , b ) 47 , c ) 58 , d ) 26 , e ) 34
Output: c
Problem: each factor of 220 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 55 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: e
Problem: if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ? 
Options: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90
Output: c
Problem: the present ratio of students to teachers at a certain school is 50 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 ) 3 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: a
Problem: in a sports club with 30 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
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 155 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 177.50 , d ) rs . 258.50 , e ) none of these
Output: c
Problem: two integers are in the ratio of 1 to 4 . if 12 is added to the smaller number , the ratio becomes 1 to 2 . find the larger integer . 
Options: a ) 8 , b ) 16 , c ) 32 , d ) 48 , e ) 54
Output: d
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ? 
Options: a ) 560 , b ) 240 , c ) 329 , d ) 443 , e ) 544
Output: b
Problem: if 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a 7 - percent vinegar solution , what was the concentration of the original solution ? 
Options: a ) 19.3 % , b ) 17 % , c ) 36.17 % , d ) 15.5 % , e ) 12.5 %
Output: c