niryuu/sni-each-converted huggingface dataset:
Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 160 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 356 , c ) 452 , d ) 416 , e ) 512
Output: d
Problem: in a class of 40 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 14
Output: d
Problem: in what ratio must tea at rs . 64 per kg be mixed with tea at rs . 74 per kg so that the mixture must be worth rs . 69 per kg ? 
Options: a ) 1 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) none
Output: a
Problem: in a class of 78 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 ) 26 , b ) 27 , c ) 24 , d ) 18 , e ) 11
Output: c
Problem: a jar contains a mixture of ab in the ratio 3 : 2 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . 
Options: a ) 18 , b ) 15 , c ) 16 , d ) 20 , e ) 25
Output: a
Problem: in two alloys , copper and tin are related in the ratios of 4 : 1 and 1 : 3 . 10 kg of ist alloy , 16 kg of 2 nd alloy and some pure copper melted together . an alloy obtained in which the ratio of copper and tin was 3 : 2 . find the weight of the new alloy . 
Options: a ) 34 kg , b ) 35 kg , c ) 36 kg , d ) 30 kg , e ) 32 kg
Output: b
Problem: in a class of 79 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 ) 25 , d ) 33 , e ) 54
Output: c
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 nell bake ? 
Options: a ) 0.125 % , b ) 1.25 % , c ) 12.5 % , d ) 125 % , e ) 0.152 %
Output: c
Problem: 100 kg of an alloy a is mixed with 200 kg of alloy b . if alloy a has lead and tin in the ratio 5 : 3 and alloy b has tin and copper in the ratio 2 : 3 , then the amount of tin in the new alloy is ? 
Options: a ) 100.6 kg , b ) 120.3 kg , c ) 117.5 kg , d ) 110.8 kg , e ) 114 kg
Output: c
Problem: the ratio of three numbers is 4 : 2 : 5 and their sum is 121 . the second number of the three numbers is ? 
Options: a ) 22 , b ) 26 , c ) 27 , d ) 29 , e ) 30
Output: a
Problem: divide rs . 32000 in the ratio 3 : 3 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 16000 , 16000 , d ) 12000 , 20006 , e ) 12000 , 20001
Output: c
Problem: the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2 . if at the end of the year , each saves rs . 1400 , then what is the income of p 1 ? 
Options: a ) s . 800 , b ) s . 2400 , c ) s . 4000 , d ) s . 3500 , e ) s . 4200
Output: d
Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 400 girls , the total number of students in the college is 
Options: a ) 1040 , b ) 920 , c ) 980 , d ) 720 , e ) 820
Output: a
Problem: up to 20 , how many no . are odd and prime both ? 
Options: a ) 9 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Output: d
Problem: there are 280 doctors and nurses at a hospital . if the ratio of doctors to nurses is 5 to 9 , how many nurses are at the hospital ? 
Options: a ) 165 , b ) 170 , c ) 175 , d ) 180 , e ) 185
Output: d
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 234 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 430 , b ) 434 , c ) 438 , d ) 444 , e ) 446
Output: b
Problem: in a 2000 census , 51.27 % of the population are male , and 48.73 % are female . what is the ratio of men to every 100 women ? 
Options: a ) 110 : 100 , b ) 105 : 100 , c ) 95 : 100 , d ) 85 : 100 , e ) 120 : 100
Output: b
Problem: if w is the set of all the integers between 49 and 88 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 11 , b ) 44 , c ) 48 , d ) 28 , e ) 26
Output: e
Problem: if neha is 10 both sonali and priyanka is 15 both sadaf and tanu is 10 . how much is prinka by the same system ? 
Options: a ) 8 , b ) 11 , c ) 10 , d ) 15 , e ) 6
Output: c
Problem: a firm is comprised of partners and associates in a ratio of 2 : 63 . if 45 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: d
Problem: the ratio of two quantities is 5 : 8 . if each of the quantities is increased by 10 , what is the ratio of the new quantities ? 
Options: a ) 5 : 8 , b ) 50 : 78 , c ) 2 : 3 , d ) it can not be determined from the information given . , e ) 6 : 7
Output: d
Problem: a bag contains 5 red , 6 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 39 , d ) 4 / 27 , e ) 3 / 23
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 t 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: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 4 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? 
Options: a ) 45 , b ) 62 , c ) 70 , d ) 77 , e ) 98
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 o 
Options: a ) 6 : 5 , b ) 4 : 7 , c ) 3 : 5 , d ) 5 : 7 , e ) 8 : 9
Output: a
Problem: tea worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be : 
Options: a ) rs . 169.50 , b ) rs . 170 , c ) rs . 175.50 , d ) rs . 180 , e ) rs . 190
Output: c
Problem: in a group of 12 engineers , 4 engineers have a phd degree ; the others have only an ms or bs degree . a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ? 
Options: a ) 495 , b ) 70 , c ) 245 , d ) 425 , e ) 555
Output: d
Problem: a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many e acres were used for corn ? 
Options: a ) 188 , b ) 258 , c ) 376 , d ) 470 , e ) 517
Output: c
Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many q women are currently in the room ? 
Options: a ) 12 , b ) 14 , c ) 15 , d ) 24 , e ) 36
Output: d
Problem: in a group of 28 junior high school students , 5 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 ) 13 , c ) 9 , d ) 12 , e ) 10
Output: b
Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 490 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 350 , c ) 300 , d ) 370 , e ) 280
Output: b
Problem: there are two positive numbers in the ratio 4 : 8 . if the larger number exceeds the smaller by 16 , then find the smaller number ? 
Options: a ) 25 , b ) 20 , c ) 77 , d ) 88 , e ) 44
Output: b
Problem: a box contains 6 black , 8 red and 4 green marbles . 2 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? 
Options: a ) 49 / 153 , b ) 18 / 153 , c ) 49 / 153 , d ) 40 / 153 , e ) 24 / 72
Output: a
Problem: find the ratio between whole surfaces of a sphere and a hemisphere ? 
Options: ['a ) 4 : 3', 'b ) 3 : 4', 'c ) 3 : 2', 'd ) 5 : 2', 'e ) 4 : 6']
Output: a
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five 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 ) 9 : 32 , b ) 9 : 30 , c ) 32 : 9 , d ) 19 : 32 , e ) 18 : 30
Output: a
Problem: at present the ratio between the ages of arun and deepak is 4 : 3 . after 6 years arun ' s age will be 26 years . what is the age of the deepak ? 
Options: a ) 15 , b ) 20 , c ) 18 , d ) 22 , e ) 35
Output: a
Problem: two whole numbers whose sum is 100 can not be in the ratio 
Options: a ) 2 : 23 , b ) 5 : 45 , c ) 10 : 10 , d ) 2 : 6 , e ) 2 : 3
Output: d
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 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 ) 1 : 2 , b ) 1 : 3 , c ) 3 : 1 , d ) 1 : 5 , e ) 1 : 4
Output: c
Problem: a certain fraction has the same ratio to 1 / 36 , as 4 / 5 does to 2 / 9 . what is this certain fraction ? 
Options: a ) 1 / 5 , b ) 1 / 10 , c ) 1 / 15 , d ) 1 / 20 , e ) 1 / 25
Output: b
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 $ 3.50 , what total number of pens and pencils did the customer purchase ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Output: e
Problem: at a supermarket , the ratio of the number of shampoos to the number of soaps is 8 to 5 , and the ratio of the number of drinks to the number of shampoos is 3 to 4 . if the ratio of the soaps to the number of cereals is 9 to 2 , what is the ratio of the number of drinks to the number of cereals ? 
Options: a ) 4 : 3 , b ) 15 : 6 , c ) 45 : 16 , d ) 15 : 4 , e ) 27 : 5
Output: e
Problem: a certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 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 ) 10 , c ) 40 , d ) 65 , e ) 15
Output: e
Problem: a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88 . to obtain equal dividends from both , he must invest the money in the ratio : 
Options: a ) 31 : 44 , b ) 31 : 27 , c ) 16 : 15 , d ) 35 : 44 , e ) 35 : 27
Output: d
Problem: veena ranks 44 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 ) 117
Output: e
Problem: the dimensions of a field are 10 m by 10 m . a pit 10 m long , 5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? 
Options: a ) 2 m , b ) 3 m , c ) 4 m , d ) 5 m , e ) 1.5 m
Output: c
Problem: if 80 percent of a class answered the first question on a certain test correctly , 55 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? 
Options: a ) 10 % , b ) ( 8 ) 20 % , c ) 30 % , d ) 50 % , e ) 55 %
Output: e
Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 322 , d ) 345 , e ) 350
Output: e
Problem: of the people who responded to a market survey , 60 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 3 to 1 , how many people responded to the survey ? 
Options: a ) 80 , b ) 150 , c ) 240 , d ) 360 , e ) 480
Output: a
Problem: how many factors does 25 ^ 2 have ? 
Options: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26
Output: b
Problem: a ratio between two numbers is 4 : 5 and their l . c . m . is 200 . the first number is 
Options: a ) 60 , b ) 40 , c ) 20 , d ) 15 , e ) none
Output: b
Problem: the number of stamps that p and q had were in the ratio of 5 : 3 respectively . after p gave q 10 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 9 : 7 . as a result of the gift , p had how many more stamps than q ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 60 , e ) 90
Output: a
Problem: a class has a ratio of 3 : 6 : 7 of children with red hair , blonde hair and black hair respectively . if the class has 9 kids with red hair , how many kids are in the class ? 
Options: a ) 99 , b ) 48 , c ) 16 , d ) 22 , e ) 60
Output: b
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 15 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 ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Output: b
Problem: there are 380 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? 
Options: a ) 152 , b ) 209 , c ) 57 , d ) 171 , e ) 220
Output: e
Problem: a certain bag contains 100 balls â € ” 50 white , 20 green , 10 yellow , 17 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 ) 0.8 , e ) 0.5
Output: d
Problem: a set of pictures of butterflies contains 10 pictures . jim bought 3 of the pictures . if 2 pictures are to be picked out from the 10 pictures , what is the probability that both pictures are not those that were already bought by jim ? 
Options: a ) 14 / 15 , b ) 3 / 5 , c ) 6 / 13 , d ) 7 / 15 , e ) 7 / 10
Output: d
Problem: the h . c . f . of two numbers is 40 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 ) 600 , c ) 699 , d ) 722 , e ) 745
Output: b
Problem: how many positive factors do 150 and 90 have in common ? 
Options: a ) 8 , b ) 12 , c ) 16 , d ) 18 , e ) 24
Output: a
Problem: divide rs . 116000 among 3 persons a , b and c such that the ratio of the shares of a and b is 3 : 4 and that of b : c is 5 : 6 . find the share of a ? 
Options: a ) 29491 , b ) 28491 , c ) 39491 , d ) 49491 , e ) 59491
Output: a
Problem: what number has a 20 : 1 ratio to the number 10 ? 
Options: a ) 130 , b ) 100 , c ) 200 , d ) 150 , e ) 120
Output: c
Problem: find the compound ratio of ( 2 : 3 ) , ( 5 : 11 ) and ( 11 : 2 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 4 : 5 , e ) 5 : 3
Output: e
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 q of people surveyed by the company ? 
Options: a ) 46 , b ) q . 80 , c ) q . 90 , d ) q . 100 , e ) 200
Output: d
Problem: out of 400 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 ) 180 , e ) 220
Output: b
Problem: a dog takes 3 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : 
Options: a ) 9 : 8 , b ) 9 : 9 , c ) 9 : 6 , d ) 9 : 1 , e ) 9 : 2
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 3 : 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 ) 26 : 11 , b ) 23 : 11 , c ) 21 : 11 , d ) 24 : 11 , e ) 25 : 11
Output: c
Problem: how many factors does 36 ^ 2 have ? 
Options: a ) 2 , b ) 8 , c ) 24 , d ) 25 , e ) 26
Output: d
Problem: two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 2 . find the larger integer . 
Options: a ) 4 , b ) 6 , c ) 12 , d ) 24 , e ) 30
Output: d
Problem: a certain fruit stand sold apples for $ 0.70 each and cherry 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 ) 11 , c ) 13 , d ) 14 , e ) 15
Output: b
Problem: 120 liters of a mixture contains milk and water in the ratio 4 : 2 . 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 ) 8 : 6 , b ) 9 : 3 , c ) 9 : 4 , d ) 9 : 6 , e ) 8 : 2
Output: c
Problem: find the number of zero ’ s in 173 ! ( 173 factorial ) ? 
Options: a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42
Output: d
Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ? 
Options: a ) 1260 , b ) 2100 , c ) 3400 , d ) 4200 , e ) 5200
Output: c
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number is ? 
Options: a ) 36 , b ) 76 , c ) 98 , d ) 27 , e ) 24
Output: a
Problem: if w is the set of all the integers between 35 and 64 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 18 , b ) 19 , c ) 61 , d ) 31 , e ) 11
Output: b
Problem: income and expenditure of a person are in the ratio 7 : 6 . if the income of the person is rs . 14000 , then find his savings ? 
Options: a ) 500 , b ) 1000 , c ) 1500 , d ) 2000 , e ) 2500
Output: d
Problem: what is the square root of 3,249 ? 
Options: a ) a ) 18 , b ) b ) 9 , c ) c ) 45 , d ) d ) 62 , e ) e ) 57
Output: e
Problem: the ratio of two speeds of two trains is 3 to 4 . if each of the trains slows its speed 5 km / hr , what will be the ratio of these two train speeds ? 
Options: a ) 3 / 4 , b ) 8 / 9 , c ) 18 / 19 , d ) 23 / 24 , e ) it can not be determined from the information given
Output: e
Problem: the triplicate ratio of 2 : 5 is ? 
Options: a ) 1 : 0 , b ) 8 : 125 , c ) 1 : 7 , d ) 1 : 2 , e ) 1 : 1
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 ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: c
Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people c who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500
Output: d
Problem: the duplicate ratio of 1 : 4 is ? 
Options: a ) 1 : 2 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13
Output: c
Problem: a ratio between two numbers is 5 : 4 and their l . c . m . is 80 . the first number is 
Options: a ) 60 , b ) 45 , c ) 20 , d ) 15 , e ) none
Output: c
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 . 173 per kg , the price of the third variety per kg will be 
Options: a ) rs . 169.50 , b ) rs . 1700 , c ) rs . 195.50 , d ) rs . 180 , e ) none
Output: c
Problem: two whole numbers whose sum is 72 can not be in the ratio 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 4 : 5 , d ) 5 : 7 , e ) none
Output: a
Problem: the compound ratio of 1 : 4 , 2 : 5 and 1 : 6 ? 
Options: a ) 1 : 3 , b ) 1 : 4 , c ) 1 : 10 , d ) 1 : 30 , e ) 1 : 60
Output: e
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 : 4 . the marks obtained by vijay and abhishek are in the ratio of ? 
Options: a ) 3 : 4 , b ) 3 : 5 , c ) 6 : 5 , d ) 3 : 6 , e ) 3 : 8
Output: b
Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 75 per kg ? 
Options: a ) 5 : 8 , b ) 3 : 1 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8
Output: b
Problem: a certain quantity of 40 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4
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 e of liquid a was contained by the can initially ? 
Options: a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27
Output: c
Problem: a firm is comprised of partners and associates in a ratio of 2 : 61 . if 60 more associates were hired , the ratio of partners to associates would be 4 : 137 . how many partners are currently in the firm ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: c
Problem: a bag holds 2 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be green ? 
Options: a ) 1 / 10 , b ) 1 / 5 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 2
Output: c
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 96 . what is sum of the numbers ? 
Options: a ) 48 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Output: b
Problem: the dimensions of a field are 16.5 m by 10 m . a pit 10 m long , 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? 
Options: a ) 2 m , b ) 3 m , c ) 1 m , d ) 2.5 m , e ) 3.5 m
Output: a
Problem: set x consists of the integers from 1 to 12 , inclusive , while set y consists of the integers from 0 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 12 , b ) 15 , c ) 10 , d ) 20 , e ) 8
Output: a
Problem: the simple form of the ratio 5 / 8 : 3 / 2 is ? 
Options: a ) 5 : 8 , b ) 5 : 5 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 1
Output: a
Problem: how many terminating zeroes q does 200 ! have ? 
Options: a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64
Output: c
Problem: the ratio of 3 numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ? 
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9
Output: e
Problem: two whole numbers whose sum is 24 is the ratio 
Options: a ) 1 : 3 , b ) 2 : 8 , c ) 1 : 6 , d ) 2 : 3 , e ) 2 : 5
Output: a
Problem: how many factors of 660 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 15
Output: e
Problem: there are 193 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 25 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 ) 110 , d ) 98 , e ) 108
Output: c
Problem: local kennel has cats and dogs in the ratio of 3 : 4 . if there are 8 fewer cats than dogs , how many dogs are in the kennel ? 
Options: a ) 28 , b ) 26 , c ) 24 , d ) 32 , e ) 30
Output: d
Problem: the ratio of two quantities is 5 to 6 . if each of the quantities is increased by 15 , what is the ratio of these 2 new quantities ? 
Options: a ) 5 : 6 , b ) 25 : 27 , c ) 15 : 16 , d ) 20 : 21 , e ) it can not be determined from the information given
Output: e
Problem: 4 dice are thrown and the sum of the numbers noted is 10 . find the probability that all the numbers lie between 2 and 5 ( both inclusive ) ? 
Options: a ) 11 / 79 , b ) 10 / 79 , c ) 12 / 79 , d ) 13 / 79 , e ) 14 / 79
Output: b
Problem: in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 8 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 120
Output: e
Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 15 , then find the smaller number ? 
Options: a ) 25 , b ) 66 , c ) 88 , d ) 89 , e ) 53
Output: a
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 152 per kg , the price of the third variety per kg will be ? 
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 174.50 , d ) rs . 258.50 , e ) none of these
Output: c
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 5 , and the ratio of soap to salt is four times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 9 : 100 , b ) 100 : 9 , c ) 12 : 100 , d ) 12 : 20 , e ) 13 : 100
Output: a
Problem: the ratio of number of boys and girls in a school is 3 : 5 . if there are 320 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 250 , c ) 300 , d ) 200 , e ) 280
Output: d
Problem: an alloy is to contain copper and zinc in the ratio 5 : 3 . the zinc required to be melted with 40 kg of copper is ? 
Options: a ) 15 kg , b ) 20 kg , c ) 8 kg , d ) 24 kg , e ) 32 kg
Output: d
Problem: how many kilograms of pure water is to be added to 100 kilograms of a 30 % saline solution to make it a 10 % saline solution . 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500
Output: b
Problem: the ratio between the number of sheep and the number of horses at the stewar farm is 5 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 ) 40 , d ) 56 , e ) 58
Output: c
Problem: mrs . evans gave a test to her freshmen economics class , which has 50 students enrolled and 25 of them answered question 1 correctly . if 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly ? 
Options: a ) 23 , b ) 22 , c ) 21 , d ) 20 , e ) 19
Output: d
Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 18000 , then find his savings ? 
Options: a ) rs . 3600 , b ) rs . 3629 , c ) rs . 3279 , d ) rs . 3629 , e ) rs . 3283
Output: a
Problem: the ratio of 2 numbers is 2 : 8 and their h . c . f . is 40 . their l . c . m . is ? 
Options: a ) 400 , b ) 120 , c ) 80 , d ) 320 , e ) 40
Output: d
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 54 ^ 100 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: c
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 6 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ? 
Options: a ) 18 , b ) 28 , c ) 48 , d ) 56 , e ) 60
Output: c
Problem: sara bought both german chocolate and swiss chocolate for some cakes she was baking . the swiss chocolate cost $ 3.5 per pound , and german chocolate cost $ 2.8 per pound . if the total the she spent on chocolate was $ 28 and both types of chocolate were purchased in whole number of pounds , how many total pounds of chocolate she purchased ? 
Options: a ) 9 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: a
Problem: the ratio of three numbers is 1 : 2 : 5 and the sum of their squares is 4320 . the sum of the numbers is ? 
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9
Output: b
Problem: in the third grade of windblown school there are 108 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 certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 8 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ? 
Options: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 60
Output: c
Problem: total num of pupiles in 3 grades of scholl is 333 . the no of pupiles in grades 1 and 2 are un 3 : 5 ratio and 2 and 3 grades are 7 : 11 ratio . what is the strength of class that has highest no of pupils 
Options: a ) 145 , b ) 155 , c ) 165 , d ) 175 , e ) 185
Output: c
Problem: there are two positive numbers in the ratio 2 : 7 . if the larger number exceeds the smaller by 30 , then find the larger number ? 
Options: a ) 42 , b ) 38 , c ) 44 , d ) 36 , e ) 46
Output: a
Problem: the triplicate ratio of 1 : 7 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 343 , d ) 1 : 1 , e ) 1 : 2
Output: c
Problem: a bag contains 5 red , 4 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 1 / 13 , b ) 2 / 23 , c ) 5 / 33 , d ) 4 / 27 , e ) 3 / 23
Output: c
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9 . if the shop carries 364 dogs and bunnies total in stock , how many dogs are there ? 
Options: a ) 42 , b ) 66 , c ) 98 , d ) 112 , e ) 154
Output: d
Problem: if 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 then 9 = ? hint : its a logic riddle not a mathematical riddle 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: x starts a business with rs . 45000 . y joins in the business after 5 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 3 , d ) 3 : 1 , e ) 18 : 7
Output: e
Problem: sandy is younger than molly by 18 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: d
Problem: an alloy is to contain copper and zinc in the ratio 9 : 4 . the zinc required to be melted with 24 kg of copper is ? 
Options: a ) 12 kg , b ) 8.3 kg , c ) 10.7 kg , d ) 15.5 kg , e ) 7 kg
Output: c
Problem: 39 ! is divided by 41 . then what is the remainder for this ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: in a group of 22 boys , 13 play basketball and 15 play football . 3 of the boys play neither . how many play both ? 
Options: a ) 18 , b ) 20 , c ) 21 , d ) 22 , e ) 25
Output: a
Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ? 
Options: a ) 30 , b ) 45 , c ) 50 , d ) 25 , e ) 60
Output: b
Problem: if 65 percent of a class answered the first question on a certain test correctly , 50 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? 
Options: a ) 25 % , b ) 30 % , c ) 35 % , d ) 40 % , e ) 45 %
Output: c
Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 17 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? 
Options: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 27 / 100 , e ) 9 / 100
Output: d
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is 
Options: a ) 276 , b ) 299 , c ) 312 , d ) 322 , e ) none
Output: d
Problem: in a college , the ratio of the number of boys to girls is 8 : 5 . if there are 300 girls , the total number of students in the college is 
Options: a ) 420 , b ) 520 , c ) 620 , d ) 780 , e ) 820
Output: d
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 22 boys and 38 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Output: e
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 4 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 8 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 16 : 9
Output: e
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 352 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 ) 58 , b ) 66 , c ) 74 , d ) 82 , e ) 90
Output: b
Problem: a person want to give his money of $ 2700 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? 
Options: a ) $ 200 , b ) $ 900 , c ) $ 700 , d ) $ 600 , e ) $ 400
Output: b
Problem: solution a is 20 % salt and solution b is 80 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? 
Options: a ) 6 : 4 , b ) 6 : 14 , c ) 4 : 4 , d ) 4 : 6 , e ) 3 : 7
Output: c
Problem: in the third grade of windblown school there are 84 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: of the 65 cars on a car lot , 30 have air - conditioning , 45 have air bag , and 12 have both air - conditioning and air bag . how many of the cars on the lot have neither air - conditioning nor air bag ? 
Options: a ) 2 , b ) 8 , c ) 10 , d ) 15 , e ) 18
Output: c
Problem: a certain quantity of 70 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 7 / 9
Output: e
Problem: two family reunions are happening at the leela hotel , the oates reunion and the hall reunion . all 100 guests at the hotel attend at least one of the reunions . if 50 people attend the oates reunion and 62 people attend the hall reunion , how many people attend both reunions ? 
Options: a ) 2 , b ) 5 , c ) 12 , d ) 16 , e ) 22
Output: c
Problem: the ratio of number of boys and girls in a school is 3 : 2 . if there are 100 students in the school , find the number of girls in the school ? 
Options: a ) 25 , b ) 30 , c ) 35 , d ) 40 , e ) 50
Output: d
Problem: the marks obtained by vijay and amith are in the ratio 6 : 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 ) 1 : 5 , b ) 4 : 5 , c ) 9 : 5 , d ) 9 : 8 , e ) 9 : 7
Output: c
Problem: income and expenditure of a person are in the ratio 5 : 3 . if the income of the person is rs . 10000 , then find his savings ? 
Options: a ) rs . 4000 , b ) rs . 3603 , c ) rs . 3639 , d ) rs . 3632 , e ) rs . 3602
Output: a
Problem: a shipment of 250 smartphones contains 67 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 / 14 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 3
Output: b
Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 4 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? 
Options: a ) 5 : 1 , b ) 10 : 5 , c ) 15 : 2 , d ) 20 : 2 , e ) 25 : 2
Output: d
Problem: bhatia , ashtikar and singh begin to play with rs 70 each . at the end the ratio of the amounts left with ashtikar and singh is 1 : 2 and of those with singh and bhatia is 4 : 1 . what is singh ' s gain ( in rs ) ? 
Options: a ) 40 , b ) 45 , c ) 48 , d ) 50 , e ) 53
Output: d
Problem: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 90 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? 
Options: a ) 2 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 20 %
Output: e
Problem: x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? 
Options: a ) 1 : 2 , b ) 2 : 1 , c ) 1 : 3 , d ) 3 : 1 , e ) 1 : 1
Output: b
Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? 
Options: a ) 45 , b ) 65 , c ) 98 , d ) 107 , e ) 198
Output: d
Problem: ratio between two numbers is 3 : 4 and their sum is 420 . find the smaller number ? 
Options: a ) 378 , b ) 180 , c ) 820 , d ) 734 , e ) 840
Output: b
Problem: two numbers are in the ratio of 1 : 2 . if 5 be added to both , their ratio changes to 3 : 5 . the greater number is 
Options: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36
Output: a
Problem: a certain university will select 1 of 3 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 ) 135 , e ) 315
Output: d
Problem: in a group of 100 cars , 37 cars do not have air conditioning . if at least 41 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ? 
Options: a ) 45 , b ) 47 , c ) 59 , d ) 51 , e ) 53
Output: c
Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 539 , krishan has ? 
Options: a ) s . 2890 , b ) s . 2330 , c ) s . 1190 , d ) s . 1620 , e ) s . 3179
Output: e
Problem: the compound ratio of 2 : 3 , 3 : 4 and 4 : 5 ? 
Options: a ) 1 : 2 , b ) 2 : 5 , c ) 3 : 4 , d ) 3 : 5 , e ) 3 : 9
Output: b
Problem: in a class of 39 students 26 play football and play 20 long tennis , if 17 play above , many play neither ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Output: c
Problem: if three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is 1862 , the middle number will be 
Options: ['a ) 10', 'b ) 14', 'c ) 18', 'd ) 22', 'e ) 24']
Output: b
Problem: in a school of 320 students , 85 students are in the band , 200 students are on sports teams , and 60 students participate in both activities . how many students are involved in either band or sports ? 
Options: a ) 220 , b ) 225 , c ) 230 , d ) 240 , e ) 245
Output: b
Problem: the duplicate ratio of 2 : 3 is ? 
Options: a ) 4 : 9 , b ) 1 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13
Output: a
Problem: a certain business school has 500 students , and the law school at the same university has 800 students . among these students , there are 30 sibling pairs consisting of 1 business student and 1 law student . if 1 student is selected at random from both schools , what is the probability that a sibling pair is selected ? 
Options: a ) 3 / 40000 , b ) 3 / 20000 , c ) 3 / 4000 , d ) 9 / 400 , e ) 6 / 130
Output: a
Problem: how many of the positive factors of 24 , 16 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: d
Problem: in what ratio must wheat at rs . 3.20 pe rkg be mixed with wheat at rs . 2.90 per kg so that the mixture be worth rs . 3.08 per kg 
Options: a ) 3 : 4 , b ) 3 : 2 , c ) 3 : 5 , d ) 3 : 7 , e ) 2 : 3
Output: b
Problem: of the 55 cars on a car lot , 40 have air - conditioning , 25 have power windows , and 12 have both air - conditioning and power windows . how many of the cars on the lot have neither air - conditioning nor power windows ? 
Options: a ) 15 , b ) 8 , c ) 10 , d ) 2 , e ) 18
Output: d
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 17 th highest price and the 24 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 38 , b ) 39 , c ) 40 , d ) 41 , e ) 42
Output: c
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 5 : 2 . the first number is : 
Options: a ) a ) 3 , b ) b ) 98 , c ) c ) 34 , d ) d ) 35 , e ) e ) 62
Output: a
Problem: a jar contains a mixture of ab in the ratio 3 : 2 . when 20 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . 
Options: a ) 12 , b ) 15 , c ) 16 , d ) 20 , e ) 36
Output: e
Problem: a woman bought a pack of 36 eggs , but the seller told her that there were 3 rotten eggs in the pack . she forgot it and begun to prepare a recipe that needs 2 eggs . what is the probability that both choosen eggs will be rotten ? 
Options: a ) 1 / 210 , b ) 2 / 210 , c ) 3 / 210 , d ) 1 / 119 , e ) 2 / 119
Output: a
Problem: the sub - duplicate ratio of 25 : 49 is 
Options: a ) 4 : 3 , b ) 5 : 7 , c ) 6 : 4 , d ) 1 : 4 , e ) 2 : 3
Output: b
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five 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 quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 26 : 64 , b ) 64 : 9 , c ) 9 : 64 , d ) 9 : 60 , e ) 20 : 64
Output: c
Problem: share rs . 4200 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? 
Options: a ) 900 , b ) 980 , c ) 1200 , d ) 1240 , e ) 1400
Output: e
Problem: in a group of 50 people , 25 have visited iceland and 23 have visited norway . if 21 people have visited both iceland and norway , how many people have visited neither country ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
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 t 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: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 6 . the factory holds a $ 80 worth stock of 12 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 20 , b ) 25 , c ) 10 , d ) 30 , e ) 35
Output: c
Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 8 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 ) 17 : 7 , b ) 18 : 8 , c ) 19 : 9 , d ) 19 : 5 , e ) 19 : 4
Output: a
Problem: on a certain farm the ratio of horses to cows is 3 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 5 : 3 . after the transaction , how many more horses than cows would the farm own ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: b
Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 50 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? 
Options: a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 6
Output: b
Problem: if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 132 kilograms . what is the student ' s present weight in kilograms ? 
Options: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90
Output: e
Problem: a certain high school has 500 students . of these students , 30 are taking music , 10 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? 
Options: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470
Output: e
Problem: the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2016 . the sum of the numbers is ? 
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9
Output: b
Problem: 100 people are attending a newspaper conference . 35 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ? 
Options: a ) 21 , b ) 26 , c ) 28 , d ) 30 , e ) 32
Output: b
Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the values of log 5 512 is 
Options: a ) 3.879 , b ) 3.875 , c ) 3.872 , d ) 3.828 , e ) 3.192
Output: b
Problem: if $ 910 are divided between worker a and worker b in the ratio 5 : 9 , what is the share that worker b will get ? 
Options: a ) 62.27 % , b ) 63.28 % , c ) 64.29 % , d ) 65.31 % , e ) 66.32 %
Output: c
Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 5 : 4 : 2 . someone removes 9 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 ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: c
Problem: in what ratio must tea at rs . 65 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 6 per kg ? 
Options: a ) 1 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) none
Output: a
Problem: the triplicate ratio of 1 : 8 is ? 
Options: a ) 1 : 0 , b ) 1 : 8 , c ) 1 : 7 , d ) 1 : 512 , e ) 1 : 1
Output: d
Problem: if the numbers 1 to 98 are written on 98 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? 
Options: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 98 , d ) 1 , e ) 2
Output: c
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 19 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Output: a
Problem: if the numbers 1 to 100 are written on 100 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ? 
Options: a ) 1 / 50 , b ) 1 / 25 , c ) 1 / 100 , d ) 1 , e ) 2
Output: c
Problem: two numbers are in the ratio of 3 : 8 . if 24 be subtracted from each , they are in the ratio of 4 : 9 . find the numbers ? 
Options: a ) 60,89 , b ) 60,88 , c ) - 27 , - 128 , d ) 60,84 , e ) - 72 , - 192
Output: e