niryuu/sni-each-converted huggingface dataset:
Problem: the ratio of spinsters to cats is 2 to 7 . if there are 55 more cats than spinsters , how many spinsters are there ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: c
Problem: the sub - duplicate ratio of 1 : 9 is 
Options: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 1 : 4 , e ) 2 : 3
Output: c
Problem: 100 liters of a mixture contains milk and water in the ratio 7 : 3 . if 10 liters of this mixture be replaced by 10 liters of milk , the ratio of milk to water in the new mixture would be ? 
Options: a ) 7 : 8 , b ) 8 : 3 , c ) 3 : 8 , d ) 8 : 7 , e ) 7 : 1
Output: b
Problem: in the third grade of windblown school there are 96 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: out of 410 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? 
Options: a ) 120 , b ) 150 , c ) 100 , d ) 140 , e ) 220
Output: d
Problem: of the 75 cars on a car lot , 45 have air - conditioning , 35 have power steering , and 12 have both air - conditioning and power steering . how many of the cars on the lot have neither air - conditioning nor power steering ? 
Options: a ) 7 , b ) 8 , c ) 10 , d ) 15 , e ) 18
Output: a
Problem: three numbers are in the ratio 1 : 4 : 6 and their h . c . f is 9 . the numbers are : 
Options: a ) 1 , 4,6 , b ) 12 , 24,36 , c ) 10 , 20 , 30 , d ) 12 , 24 , 36 , e ) 9 , 36,54 .
Output: e
Problem: two family reunions are happening at the same hotel , the dates reunion and the hall reunion . all 50 guests at the hotel attend at least one of the reunions . if 50 people attend the dates reunion and 60 people attend the hall reunion , how many people attend both reunions ? 
Options: a ) 2 , b ) 5 , c ) 10 , d ) 16 , e ) 60
Output: e
Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 82 per kg ? 
Options: a ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 1 : 1 , e ) 9 : 8
Output: d
Problem: praveen starts business with rs . 3220 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? 
Options: a ) s . 7500 , b ) s . 8000 , c ) s . 8280 , d ) s . 9000 , e ) s . 6000
Output: c
Problem: 50 liters of a mixture contains milk and water in the ratio 3 : 2 . if 5 liters of this mixture be replaced by 5 liters of milk , the ratio of milk to water in the new mixture would be ? 
Options: a ) 6 : 5 , b ) 6 : 2 , c ) 6 : 4 , d ) 7 : 4 , e ) 7 : 2
Output: d
Problem: the ratio between the present ages of a and b is 6 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? 
Options: a ) 5 : 4 , b ) 3 : 0 , c ) 5 : 1 , d ) 3 : 2 , e ) 3 : 7
Output: c
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 ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 6 : 7 , e ) none of these
Output: d
Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 586.75 . how many boxes of plain cookies did she sell ? 
Options: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 789
Output: e
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 360 and for 36 kgs of apples is 420 then the cost of first 25 kgs of apples is 
Options: a ) 100 , b ) 250 , c ) 125 , d ) 110 , e ) 115
Output: b
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 12 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 ) 19 : 2 , b ) 18 : 3 , c ) 11 : 1 , d ) 11 : 5 , e ) 11 : 4
Output: d
Problem: x starts a business with rs . 52000 . y joins in the business after 6 months with rs . 26000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 1 : 3 , d ) 4 : 1 , e ) none of these
Output: d
Problem: there are 624 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? 
Options: a ) 320 , b ) 345 , c ) 375 , d ) 390 , e ) 400
Output: d
Problem: two numbers are in the ratio of 5 : 7 . if 33 is subtracted from each number , they are in the ratio of 1 : 2 . what are the two numbers ? 
Options: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91
Output: c
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 18 years . what is deepak present age ? 
Options: a ) 22 , b ) 15 , c ) 77 , d ) 9 , e ) 182
Output: d
Problem: in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 24 per kg so that cost of mixture is rs . 18 per kg ? 
Options: a ) 4 : 1 , b ) 2 : 1 , c ) 3 : 1 , d ) 4 : 3 , e ) 4 : 5
Output: c
Problem: how many trailing zeroes does 53 ! + 54 ! have ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: b
Problem: a student committee on academic integrity has 132 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 ) 12
Output: e
Problem: the ratio between the presents of the a and b is 2 : 3 . if b is 5 years older than a , what will be the ratio of the ages of a and b after 5 years ? 
Options: a ) 3 : 4 , b ) 1 : 2 , c ) 2 : 3 , d ) 5 : 6 , e ) 1 : 3
Output: a
Problem: the ratio between the present ages of a and b is 4.5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? 
Options: a ) 3 : 4 , b ) 3 : 0 , c ) 3 : 1 , d ) 7 : 3 , e ) 3 : 7
Output: d
Problem: the h . c . f . of two numbers is 60 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : 
Options: a ) 276 , b ) 300 , c ) 500 , d ) 700 , e ) 900
Output: e
Problem: if log 102 = 0.3010 , what is the value of log 101600 ? 
Options: a ) 3.208 , b ) 3.202 , c ) 3.209 , d ) 3.204 , e ) 3.2112
Output: d
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 . 9228 , b ) rs . 9129 , c ) rs . 9120 , d ) rs . 9000 , e ) rs . 1922
Output: d
Problem: how many zeros does 1000 ! end with ? 
Options: a ) 20 o , b ) 24 o , c ) 249 , d ) 30 o , e ) 325
Output: c
Problem: there are 456 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? 
Options: a ) 264 , b ) 209 , c ) 57 , d ) 171 , e ) 181
Output: a
Problem: a 60 kg metal bar made of alloy of tin and silver lost 6 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: of the female students at barkely university , 5 / 6 are on the honor roll . of the male students , 2 / 3 are on the honor roll . if 3 / 5 of the students are female , what is ratio of male to female students on honor roll ? 
Options: a ) 5 / 9 , b ) 8 / 15 , c ) 23 / 30 , d ) 43 / 60 , e ) 53 / 90
Output: b
Problem: the l . c . m . of 2 numbers is 40 . the numbers are in the ratio 4 : 5 . find their sum ? 
Options: a ) 18 , b ) 40 , c ) 48 , d ) 32 , e ) 56
Output: a
Problem: the ratio of spinsters to cats is 2 to 9 . if there are 42 more cats than spinsters , how many spinsters are there ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Output: d
Problem: of the 85 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: e
Problem: the simple form of the ratio 9 / 8 : 3 / 4 is ? 
Options: a ) 5 : 8 , b ) 5 : 5 , c ) 5 : 9 , d ) 3 : 2 , e ) 5 : 1
Output: d
Problem: the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ? 
Options: a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55
Output: e
Problem: there are 192 items that are members of set u . of these items , 49 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? 
Options: a ) 72 , b ) 85 , c ) 107 , d ) 98 , e ) 108
Output: c
Problem: a person want to give his money of $ 600 to his 3 children a , b , c in the ratio 1 : 2 : 3 . what is the b + c share ? 
Options: a ) $ 200 , b ) $ 300 , c ) $ 150 , d ) $ 450 , e ) $ 500
Output: e
Problem: the ratio of numbers is 3 : 4 and their h . c . f is 4 . their l . c . m is ? 
Options: a ) 23 , b ) 77 , c ) 88 , d ) 48 , e ) 11
Output: d
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 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 ) 16 : 5 , b ) 14 : 5 , c ) 16 : 7 , d ) 19 : 5 , e ) none of these
Output: d
Problem: among 300 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? 
Options: a ) 30 , b ) 90 , c ) 120 , d ) 172 , e ) 188
Output: b
Problem: three numbers are in the ratio 4 : 5 : 6 and their product is 76680 . the largest number is 
Options: a ) 30 , b ) 24 , c ) 26 , d ) 28 , e ) 22
Output: b
Problem: how many positive integers w between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? 
Options: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26
Output: e
Problem: in a group of 100 cars , 49 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? 
Options: a ) 49 , b ) 47 , c ) 48 , d ) 51 , e ) 53
Output: a
Problem: in a class of 25 students , 15 play hockey and 16 play basketball . if there are 4 students who play neither sport , determine the number of students who play both hockey and basketball ? 
Options: a ) 10 , b ) 11 , c ) 13 , d ) 14 , e ) 15
Output: a
Problem: what is the square root of 225 ? 
Options: a ) 6 , b ) 9 , c ) 12 , d ) 45 , e ) 15
Output: e
Problem: the ratio of two quantities is incorrect when written as 10 to 14 . how should this ratio be written ? 
Options: a ) 5 : 14 , b ) 10 : 7 , c ) 20 : 24 , d ) 5 : 7 , e ) it can not be determined from the information given
Output: d
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 . 153 per kg , the price of the third variety per kg 
Options: a ) 175.59 , b ) 175.5 , c ) 175.57 , d ) 175.52 , e ) 175.11
Output: c
Problem: a certain university will select 2 of 6 candidates eligible to fill a position in the mathematics department and 3 of 5 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 ) 150 , d ) 165 , e ) 315
Output: c
Problem: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 34 years . what is deepak present age ? 
Options: a ) 22 , b ) 15 , c ) 77 , d ) 21 , e ) 182
Output: d
Problem: log 3 n + log 7 n what is 3 digit number n that will be whole number 
Options: a ) 343 , b ) 729 , c ) 829 , d ) 929 , e ) 727
Output: a
Problem: find the fraction which has the same ratio to 2 / 13 that 5 / 34 has to 7 / 48 ? 
Options: a ) 240 / 1576 , b ) 240 / 1542 , c ) 240 / 1547 , d ) 240 / 1528 , e ) 240 / 1529
Output: c
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 5 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 75
Output: e
Problem: there are 8 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? 
Options: a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85
Output: b
Problem: the ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250 . the sum of the numbers is ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 5
Output: e
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 28 , what is the common ratio of the g . p ? 
Options: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 9 , e ) 1 / 9
Output: a
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 15 nor by 20 ? 
Options: a ) 887 , b ) 678 , c ) 765 , d ) 345 , e ) 256
Output: a
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1800 . their h . c . f is ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: b
Problem: on multiplying a number b by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result . 
Options: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355
Output: d
Problem: in what ratio should a variety of rice costing rs . 7 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 / 2 , c ) 5 / 1 , d ) 5 / 3 , e ) 7 / 6
Output: b
Problem: a certain fruit stand sold apples for $ 0.70 each and guava for $ 0.50 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 ) 12 , b ) 13 , c ) 11 , d ) 14 , e ) 5
Output: c
Problem: there are 35 kids in a play school . 26 kids play with white color balls and some kids play with yellow color balls and 19 kids play with both color balls . how many kids use yellow color balls ? 
Options: a ) 12 , b ) 32 , c ) 5 , d ) 28 , e ) 35
Output: d
Problem: if 1 tic equals 5 tacs and 2 tacs equal 8 tocs , what is the ratio of one tic to one toc ? 
Options: a ) 15 / 2 , b ) 20 / 1 , c ) 5 / 6 , d ) 3 / 10 , e ) 1 / 15
Output: b
Problem: how many zeros are there in 50 ! 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: c
Problem: divide rs . 32000 in the ratio 1 : 7 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 4000 , 28000 , d ) 12000 , 20006 , e ) 12000 , 20001
Output: c
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ? 
Options: a ) 1 : 3 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) none of these
Output: b
Problem: the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? 
Options: a ) 6 : 8 , b ) 6 : 2 , c ) 6 : 5 , d ) 6 : 4 , e ) 6 : 2
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 r 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: a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water . what is the ratio of alcohol to water in the resulting solution ? 
Options: a ) 1 : 2 , b ) 3 : 7 , c ) 3 : 5 , d ) 4 : 7 , e ) 7 : 3
Output: a
Problem: in a group of 65 people , 40 like cricket , 10 like both cricket and tennis . how many like tennis ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Output: b
Problem: if 0.25 of a number is equal to 0.05 of another number , the ratio of the numbers is : 
Options: a ) 2 : 5 , b ) 3 : 4 , c ) 1 : 5 , d ) 20 : 5 , e ) 30 : 7
Output: c
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 8 integers , y consists of 10 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 ) 22 , d ) 30 , e ) 174
Output: a
Problem: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is 
Options: a ) 7 / 16 , b ) 7 / 12 , c ) 7 / 19 , d ) 7 / 12 , e ) 7 / 15
Output: e
Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 32 people were made to stand in a column , how many columns could be formed ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: a
Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 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 4 candidates are there to fill the 4 positions ? 
Options: a ) 420 , b ) 770 , c ) 840 , d ) 165 , e ) 315
Output: c
Problem: in what ratio should a variety of rice costing rs . 20 per kg be mixed with another variety of rice costing rs . 31.50 per kg to obtain a mixture costing rs . 23.75 per kg ? 
Options: a ) 16 : 30 , b ) 30 : 14 , c ) 16 : 31 , d ) 31 : 15 , e ) 15 : 31
Output: d
Problem: how many terminating zeroes e does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
Output: c
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: the contents of two vessels containing copper and tin in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4 . the resulting mixture will have copper and tin in the ratio ? 
Options: a ) 15 : 32 , b ) 21 : 28 , c ) 31 : 74 , d ) 33 : 37 , e ) 41 : 92
Output: c
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 . 12000 , then find the annual income of a ? 
Options: a ) rs . 420000 , b ) rs . 403200 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these
Output: b
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 ) 32 , b ) 37 , c ) 84 , d ) 29 , e ) 21
Output: c
Problem: 210 reputed 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: in a class of 69 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: b
Problem: if 70 % of an equal to 40 % of b , then ratio between a and b is ? 
Options: a ) 4 : 7 , b ) 4 : 9 , c ) 4 : 2 , d ) 4 : 1 , e ) 4 : 5
Output: a
Problem: in a group of 400 readers who read science fiction or literacy works or both , 250 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ? 
Options: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 110
Output: b
Problem: what is the value of ( log 2 3 ) ( log 3 4 ) ( log 4 5 ) . . . ( log 63 64 ) ? 
Options: a ) 1 / 6 , b ) 2 , c ) 5 / 2 , d ) 6 , e ) 32
Output: d
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 8 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ? 
Options: a ) s 1200 , b ) s 1500 , c ) s 1600 , d ) s 1900 , e ) s 1700
Output: b
Problem: if 3 tic equals 6 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ? 
Options: a ) 7 / 1 , b ) 6 / 5 , c ) 5 / 6 , d ) 3 / 10 , e ) 1 / 15
Output: a
Problem: solution a is made up of alcohol and water mixed in the ratio of 21 : 4 by volume ; solution b is made up of alcohol and water mixed in the ratio of 2 : 3 by volume . if solution a and solution b are mixed in the ratio of 5 : 6 by volume , what percent of the resultant mixture is alcohol ? 
Options: a ) 32.5 % , b ) 40 % , c ) 60 % , d ) 65 % , e ) can not be determined
Output: c
Problem: in a group of 90 students , 30 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 ) 33 , d ) 27 , e ) 31
Output: c
Problem: if n is the greatest positive integer for which 4 ^ n is a factor of 10 ! , then n = ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: b
Problem: two numbers are in the ratio of 1 : 2 . if 10 be added to both , their ratio changes to 3 : 5 . the greater number is 
Options: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 40
Output: e
Problem: in what ratio must tea at rs . 62 per kg be mixed with tea at rs . 72 per kg so that the mixture must be worth rs . 67 per kg ? 
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) 1 : 1
Output: e
Problem: how many even integers from 1 to 100 ( both inclusive ) have even number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
Output: c
Problem: if two dice are thrown together , the probability of getting prime number on both dice is 
Options: a ) 5 / 9 , b ) 1 / 9 , c ) 2 / 9 , d ) 4 / 9 , e ) 7 / 9
Output: c
Problem: how many numbers are divisible by both 2 and 3 up to 300 ? 
Options: a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250
Output: a
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 19000 , then find his savings ? 
Options: a ) 3800 , b ) 3607 , c ) 3608 , d ) 3602 , e ) 3603
Output: a
Problem: in a group of 27 junior high school students , 7 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 4 , e ) 6
Output: e
Problem: how many of the positive factors of 42 are not factors of 56 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: in what ratio must tea of rs . 42 per kg be mixed with tea of rs . 50 per kg so that cost of mixture is rs . 45 per kg ? 
Options: a ) 5 : 3 , b ) 3 : 5 , c ) 2 : 3 , d ) 3 : 4 , e ) 1 : 2
Output: a
Problem: a person want to give his money of $ 15800 to his 4 children a , b , c , d in the ratio 5 : 9 : 6 : 5 . what is the a + c share ? 
Options: a ) $ 4000 , b ) $ 2890 , c ) $ 3005 , d ) $ 6952 , e ) $ 6003
Output: d
Problem: set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 7 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: d
Problem: two family reunions are happening at the same hotel , the oates reunion and the yellow reunion . all 100 guests at the hotel attend at least one of the reunions . if 42 people attend the oates reunion and 65 people attend the yellow reunion , how many people attend both reunions ? 
Options: a ) 2 , b ) 7 , c ) 10 , d ) 16 , e ) 22
Output: b
Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 9 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 ) 3 , b ) 9 , c ) 15 , d ) 21 , e ) 30
Output: a
Problem: if 4 tic equals 3 tacs and 6 tacs equal 4 tocs , what is the ratio of one tic to one toc ? 
Options: a ) 15 / 2 , b ) 6 / 5 , c ) 5 / 6 , d ) 3 / 10 , e ) 2 / 1
Output: e
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 1 to 5 . how many cooks does the restaurant have ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Output: c
Problem: the probability that a computer company will get a computer hardware contract is 2 / 3 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? 
Options: a ) 14 / 45 , b ) 4 / 9 , c ) 4 / 5 , d ) 4 / 6 , e ) none of these
Output: a
Problem: if n is the greatest positive integer for which 2 ^ n is a factor of 6 ! , then n = ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: b
Problem: praveen starts business with rs . 3360 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? 
Options: a ) s . 7500 , b ) s . 8640 , c ) s . 8500 , d ) s . 9000 , e ) s . 6000
Output: b
Problem: if jamie ' s income is rs 20000 , calculate his savings given that his income and expenditure are in the ratio 7 : 5 . ? 
Options: a ) rs 7500 , b ) rs 4000 , c ) rs 2000 , d ) rs 8000 , e ) rs 7000
Output: d
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 2 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Output: b
Problem: a certain bag contains 100 balls â € ” 50 white , 25 green , 10 yellow , 7 red , and 8 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 ) 0.9 , b ) 0.85 , c ) 0.6 , d ) 0.8 , e ) 0.5
Output: b
Problem: in a express train passengers traveling in a . c . sleeper class , first class and sleeper class are in the ratio 1 : 2 : 3 , and fare to each class in the ratio 5 : 4 : 2 . if the income from this train is rs . 57000 , the income of a . c . sleeper class is 
Options: a ) rs . 8000 , b ) rs . 12000 , c ) rs . 15000 , d ) rs . 6000 , e ) none
Output: c
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ? 
Options: a ) 567 , b ) 850 , c ) 560 , d ) 923 , e ) 240
Output: d
Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 3 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? 
Options: a ) 45 , b ) 67 , c ) 70 , d ) 77 , e ) 98
Output: b
Problem: a dog have birth to 12 puppies , 2 female and 10 male . what is the ratio of the female puppies to the male ? 
Options: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 10 , d ) 2 / 12 , e ) 1 / 8
Output: a
Problem: cheese , bologna , and peanut butter sandwiches were made for a picnic in a ratio of 1 to 7 to 8 . if a total of 80 sandwiches were made , how many bologna sandwiches were made ? 
Options: a ) 15 , b ) 30 , c ) 35 , d ) 42 , e ) 48
Output: c
Problem: of the 20 members of a kitchen crew , 17 can use the meat - cutting machine , 18 can use the bread - slicing machine , and 15 can use both machines . if one member is chosen at random , what is the probability that the member chosen will be someone who can not use either machine ? 
Options: a ) 0 , b ) 1 / 10 , c ) 1 / 7 , d ) 1 / 4 , e ) 1 / 3
Output: a
Problem: mrs . evans gave a test to her freshmen economics class , which has 25 students enrolled and 22 of them answered question 1 correctly . if 20 answered question 2 correctly and 3 did not take the test then how many answered both questions correctly ? 
Options: a ) 30 , b ) 20 , c ) 23 , d ) 17 , e ) 19
Output: b
Problem: uba capital recently bought brand new vehicles for office use . uba capital only went for toyota and honda and bought more of toyota than honda at the ratio of 6 : 4 . if 60 % of the toyota bought and 40 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s . how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase ? 
Options: a ) 66 % , b ) 64 % , c ) 68 % , d ) 52 % , e ) 72 %
Output: d
Problem: the ratio between the present age of p and q is 6 : 7 . if q is 4 years old than p , what will be the ratio of the ages of p and q after 4 years ? 
Options: a ) 8 : 7 , b ) 7 : 8 , c ) 8 : 6 , d ) 6 : 7 , e ) 6 : 8
Output: a
Problem: the ratio between the presents of the a and b is 6 : 7 . if b is 4 years older than a , what will be the ratio of the ages of a and b after 4 years ? 
Options: a ) 1 : 2 , b ) 9 : 11 , c ) 7 : 8 , d ) 6 : 7 , e ) 3 : 4
Output: c
Problem: two numbers are in the ratio of 5 : 7 . if 20 is subtracted from each number , they are in the ratio of 5 : 9 . what are the two numbers ? 
Options: a ) 35 , 49 , b ) 40 , 56 , c ) 45 , 63 , d ) 50 , 70 , e ) 55 , 77
Output: b
Problem: if both 112 and 33 are factors of the number a * 43 * 62 * 1311 , then what is the smallest possible value of a ? 
Options: a ) 121 , b ) 3267 , c ) 363 , d ) 33 , e ) none of the above
Output: c
Problem: in a group of 8 semifinalists , all but 2 will advance to the final round . if in the final round only the top 3 will be awarded medals , then how many groups of medal winners are possible ? 
Options: a ) 20 , b ) 56 , c ) 120 , d ) 560 , e ) 720
Output: b
Problem: the 7 th grade french and spanish classes each have 21 students in them , and there are 6 students in the 7 th grade taking both languages . if everyone in the 7 th grade is in at least one of the two language classes , how many students are taking just one of the two classes ? 
Options: a ) 24 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Output: c
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 12 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 ) 25 , b ) 27 , c ) 29 , d ) 28 , e ) 31
Output: d
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 49 / 64 . how many marbles are in the bag ? 
Options: a ) 24 , b ) 48 , c ) 60 , d ) 96 , e ) 84
Output: d
Problem: a can contains a mixture of two liquids a and b in 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 litres of liquid a was contained by the can initially ? 
Options: a ) 25 , b ) 21 , c ) 20 , d ) 10 , e ) 15
Output: b
Problem: in a family 4 people eat only vegetarian , 3 people eat only non veg . , 2 people eat both veg and non veg . . how many people are in the family ? 
Options: a ) 4 , b ) 3 , c ) 10 , d ) 2 , e ) 9
Output: e
Problem: if the ratio of two number is 3 : 4 and lcm of the number is 180 then what is the number . 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: a
Problem: what is the largest power of 3 contained in 200 ! 
Options: a ) 88 , b ) 48 , c ) 66 , d ) 97 , e ) 39
Output: d
Problem: a began business with rs . 27000 and was joined afterwards by b with rs . 36000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? 
Options: a ) 1.5 , b ) 6.5 , c ) 7.5 , d ) 8 , e ) 2
Output: c
Problem: in what ratio should a variety of rice costing rs . 6.5 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 / 4 , d ) 5 / 3 , e ) 7 / 6
Output: c
Problem: a company sells pens and pencils . the revenue from pens in 2007 was up 5 % from 2006 . the revenue from pencils declined 13 % over the same period . overall revenue was down 1 % from 06 to 07 . what was the ratio of pencil revenue to pen revenue in 2006 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6
Output: a
Problem: in a certain alphabet , 11 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 ) 5 , b ) 8 , c ) 14 , d ) 20 , e ) 28
Output: a
Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 4 to 1 , what is the ratio of us to british stamps ? 
Options: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: d
Problem: a raz ' s company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ? 
Options: a ) 1 : 2 , b ) 4 : 5 , c ) 1 : 1 , d ) 3 : 2 , e ) 5 : 3
Output: a
Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 3 : 2 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 ) 1 : 1', 'c ) 61 : 160', 'd ) 61 : 99', 'e ) 99 : 160']
Output: b
Problem: each factor of 150 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 15 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 3
Output: c
Problem: two spheres of their radios in the ratio 4 : 3 . find its volumes ratio ? 
Options: ['a ) 64 : 13', 'b ) 13 : 64', 'c ) 27 : 64', 'd ) 64 : 27', 'e ) none of them']
Output: d
Problem: in a group of 400 players some are outdoor players , some are indoor players and some plays both . 350 plays outdoors and 110 plays indoor . how many plays indoor as well as outdoor games . 
Options: a ) 70 , b ) 60 , c ) 90 , d ) 100 , e ) 110
Output: b
Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 2 : 1 , and the ratio of ny mets fans to boston red sox fans is 3 : 7 . if there are 320 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? 
Options: a ) 48 , b ) 52 , c ) 56 , d ) 60 , e ) 64
Output: d
Problem: if 73 ! has 16 zeroes at the end , how many zeroes will 80 ! have at the end ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Output: d
Problem: how many of the positive factors of 17 are not factors of 34 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: a
Problem: if g and d are both integers , g > d , and - 3 g > 19 , then the largest value of d would be ? 
Options: a ) - 5 , b ) - 6 , c ) - 7 , d ) - 8 , e ) - 10
Output: d
Problem: ratio and proportion 215 : 474 : : 537 : ? 
Options: a ) 26 , b ) 27 , c ) 25 , d ) 22 , e ) 23
Output: a
Problem: sachin is younger than rahul by 7 years . if their ages are in the respective ratio of 7 : 9 , how old is sachin ? 
Options: a ) 22.5 years , b ) 24.5 years , c ) 12.5 years , d ) 28.5 years , e ) 29.5 years
Output: b
Problem: at an international conference , “ red ” world countries and “ blue ” world countries are the only participants . the ratio of “ red ” world participants to “ blue ” world participants is 7 : 3 . if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed , then what is the fraction of the participants who are left - handed ? 
Options: a ) 45 / 21 , b ) 46 / 2 , c ) 13 / 30 , d ) 23 / 6 , e ) 4 / 6
Output: c
Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,800 sedans in anytown , how many motorcycles are there ? 
Options: a ) 2800 , b ) 2100 , c ) 3600 , d ) 4200 , e ) 5200
Output: a
Problem: there are 35 student in a school . 20 if them speek hindi 19 of them speak eng 9 of them speak both , then how many student neithe speak eng nor speak hindi 
Options: a ) 28 , b ) 30 , c ) 32 , d ) 35 , e ) none of these
Output: e
Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 64 more girls than boys , how many boys are there ? 
Options: a ) 27 , b ) 40 , c ) 45 , d ) 72 , e ) 117
Output: b
Problem: 7 log 7 ( 8 ) = ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 8
Output: e
Problem: the ratio between the present ages of a and b is 7 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? 
Options: a ) 3 : 4 , b ) 3 : 0 , c ) 9 : 1 , d ) 9 : 2 , e ) 3 : 9
Output: c
Problem: jill ' s favorite number is even and has some repeating prime factors . john is guessing jills favorite number , and the only hint she gives is that 7 is a prime factor . what is johns best guess ? 
Options: a ) 84 , b ) 105 , c ) 54 , d ) 42 , e ) 70
Output: a
Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 24000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 3 : 2 , d ) 2 : 3 , e ) 5 : 2
Output: e
Problem: a garrison of 400 men had a provision for 31 days . after 26 days 275 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 16 days , b ) 45 days , c ) 10 days , d ) 17 days , e ) 18 days
Output: a
Problem: each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 46 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: e
Problem: how many numbers up to 200 are divisible by 2 and 3 both ? 
Options: a ) 22 , b ) 33 , c ) 77 , d ) 28 , e ) 22
Output: b
Problem: in a group of people , if 30 people were made to stand in each column , 16 columns could be formed . if 60 people were made to stand in a column , how many columns could be formed ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Output: b
Problem: in a group of 15 people , 8 read english , 7 read french while 3 of them read none of these two . how many of them read french and english both ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 7 , e ) 5
Output: b
Problem: a shipment of 250 smartphones contains 76 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ? 
Options: a ) 1 / 250 , b ) 1 / 84 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3
Output: c
Problem: the ratio of 2 numbers is 2 : 3 and their h . c . f . is 10 . their l . c . m . is ? 
Options: a ) 30 , b ) 60 , c ) 20 , d ) 10 , e ) 40
Output: b
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 162 grams of water ? 
Options: a ) 16 , b ) 72 , c ) 112 , d ) 128 , e ) 144
Output: e
Problem: a bag contains 3 red , 2 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 2 / 21 , b ) 3 / 41 , c ) 3 / 28 , d ) 3 / 31 , e ) 5 / 32
Output: c
Problem: in the third grade of windblown school there are 102 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: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ? 
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264
Output: c
Problem: in the third grade of windblown school there are 78 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: 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 ) 40 % pure , b ) 50 % pure , c ) 51.2 % pure , d ) 58.8 % pure , e ) none
Output: c
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 6 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 ) 12 , b ) 18 , c ) 14 , d ) 20 , e ) 22
Output: c
Problem: each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 26 have long fur , 30 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? 
Options: a ) 26 , b ) 19 , c ) 11 , d ) 8 , e ) 6
Output: b
Problem: how many factors of 240 are also multiples of 3 ? 
Options: a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 20
Output: d
Problem: a 50 kg metal bar made of alloy of tin and silver lost 5 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: at a kennel with 80 dogs , 45 of the dogs wear tags and 40 wear flea collars . if 6 of the dogs wear both , then how many of the dogs wear neither a collar nor tags ? 
Options: a ) 1 , b ) 6 , c ) 34 , d ) 79 , e ) 85
Output: a
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 5 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? 
Options: a ) 2 , b ) 9 , c ) 15 , d ) 21 , e ) 30
Output: c
Problem: the l . c . m . of 2 numbers is 66 . the numbers are in the ratio 2 : 3 . find their sum ? 
Options: a ) 36 , b ) 40 , c ) 48 , d ) 32 , e ) 55
Output: e
Problem: find the compound ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 4 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 1 , d ) 4 : 5 , e ) 2 : 3
Output: c
Problem: in a sports club with 28 members , 17 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: d
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 330 grams of compound x ? 
Options: a ) 54 , b ) 162 , c ) 250 , d ) 275 , e ) 322
Output: d
Problem: the ratio of 3 numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the 3 numbers is ? 
Options: a ) 24 , b ) 26 , c ) 27 , d ) 400 , e ) 30
Output: d
Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 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 ) 10 : 5 , b ) 15 : 2 , c ) 20 : 2 , d ) 25 : 2 , e ) none of these
Output: d
Problem: the marks obtained by vijay and amith are in the ratio 4 : 4 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ? 
Options: a ) 3 : 2 , b ) 6 : 1 , c ) 6 : 5 , d ) 6 : 2 , e ) 6 : 3
Output: a
Problem: in a class of 38 children , 19 play tennis , 21 play squash and 10 play neither sport . ( 1 ) how many children play both sports ? 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 19
Output: b
Problem: a certain bag contains 100 balls â € ” 50 white , 30 green , 8 yellow , 9 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 ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.88 , e ) 0.5
Output: d
Problem: the simple form of the ratio 7 / 6 : 3 / 2 is ? 
Options: a ) 5 : 8 , b ) 7 : 9 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 1
Output: b
Problem: if both 5 ^ 2 and 3 ^ 4 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? 
Options: a ) 80 , b ) 120 , c ) 150 , d ) 225 , e ) 300
Output: d
Problem: praveen starts business with rs . 3920 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? 
Options: a ) s . 10080 , b ) s . 8000 , c ) s . 8500 , d ) s . 9000 , e ) s . 6000
Output: a
Problem: the ratio of buses to cars on river road is 1 to 17 . if there are 80 fewer buses than cars on river road , how many cars are on river road ? 
Options: a ) 40 , b ) 85 , c ) 60 , d ) 30 , e ) 20
Output: b
Problem: what is the greatest value of x such that 4 ^ x is a factor of 21 ! ? 
Options: a ) 5 , b ) 6 , c ) 3 , d ) 2 , e ) 4
Output: b
Problem: a certain high school has 500 students . of these students , 40 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? 
Options: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470
Output: c
Problem: the value of log 343 7 is 
Options: a ) 1 / 3 , b ) - 3 , c ) - 1 / 3 , d ) 3 , e ) 0.3
Output: a
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 ) 8 : 6 , b ) 8 : 7 , c ) 8 : 9 , d ) 8 : 4 , e ) 8 : 1
Output: b
Problem: the ratio of 2 numbers is 3 : 7 and their h . c . f . is 12 . their l . c . m . is ? 
Options: a ) 20 , b ) 24 , c ) 252 , d ) 136 , e ) 160
Output: c