niryuu/sni-each-converted huggingface dataset:
Problem: two numbers are in the ratio of 7 : 6 . if 18 be subtracted from each , they are in the ratio of 6 : 5 . find the numbers ? 
Options: a ) 5,9 , b ) 7,9 , c ) 4,7 , d ) 7,6 , e ) 6,9
Output: d
Problem: the compound ratio of 3 : 4 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 9 , b ) 1 : 7 , c ) 1 : 2 , d ) 9 : 10 , e ) 1 : 4
Output: d
Problem: divide $ 2000 among b , c in the ratio 4 : 16 . how many $ that c get ? 
Options: a ) $ 1200 , b ) $ 1400 , c ) $ 1600 , d ) $ 1800 , e ) $ 2000
Output: c
Problem: the ratio of two quantities is 2 : 3 . if each of the quantities is increased by 6 , what is the ratio of the new quantities ? 
Options: a ) 2 : 3 , b ) 6 : 7 , c ) 8 : 9 , d ) 8 : 3 , e ) it can not be determined from the information given
Output: e
Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 18 , then find the smaller number ? 
Options: a ) 30 , b ) 66 , c ) 77 , d ) 88 , e ) 44
Output: a
Problem: three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 1200 . their h . c . f is ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Output: a
Problem: a starts business with rs . 3500 and after 10 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? 
Options: a ) 24887 , b ) 20778 , c ) 23788 , d ) 31500 , e ) 2811
Output: d
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 65 , what is the common ratio of the g . p ? 
Options: a ) 4 , b ) 1 / 4 , c ) 2 , d ) 9 , e ) 1 / 9
Output: a
Problem: ratio between rahul and deepak is 4 : 3 , after 10 years rahul age will be 26 years . what is deepak present age 
Options: a ) 12 , b ) 15 , c ) 20 , d ) 22 , e ) 23
Output: a
Problem: log 3 n + log 9 n what is 3 digit number n that will be whole number 
Options: a ) 629 , b ) 729 , c ) 829 , d ) 929 , e ) 727
Output: b
Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 65 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? 
Options: a ) 60 % , b ) 55 % , c ) 70 % , d ) 75 % , e ) 80 %
Output: b
Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : 
Options: a ) 150 , b ) 300 , c ) 299 , d ) 322 , e ) 345
Output: a
Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 19 . the larger of the two numbers is : 
Options: a ) 437 , b ) 299 , c ) 322 , d ) 345 , e ) 355
Output: a
Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 11 and 12 . what is the largest number . 
Options: a ) 462 , b ) 450 , c ) 480 , d ) 504 , e ) 555
Output: d
Problem: the overall ages of kumar , hathim and rahul is 93 years . 1 decade ago , the ratio of their ages was 2 : 3 : 4 . what is the current age of rahul ? 
Options: a ) 38 , b ) 37 , c ) 34 , d ) 35 , e ) 33
Output: a
Problem: how many factors of 220 are odd numbers greater than 1 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: a certain bag contains 100 balls — 50 white , 30 green , 10 yellow , 7 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: a
Problem: each factor of 200 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 42 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 9
Output: e
Problem: a dog takes 3 leaps for every 5 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 : 5 , b ) 2 : 3 , c ) 4 : 7 , d ) 5 : 6 , e ) none of these
Output: a
Problem: how many multiples of 8 are there between 100 and 200 ( both are inclusive ) ? 
Options: a ) 27 , b ) 4 , c ) 6 , d ) 13.5 , e ) 8
Output: d
Problem: in a group of 28 junior high school students , 7 take french , 9 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 ) 8
Output: e
Problem: a bag contains 4 red , 3 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 ) 1 / 6 , d ) 4 / 27 , e ) 3 / 23
Output: c
Problem: if the ratio of two number is 2 : 5 and lcm of the number is 160 then what is the number . 
Options: a ) 15 , b ) 20 , c ) 16 , d ) 30 , e ) 35
Output: c
Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 4 : 2 : 3 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ? 
Options: a ) 90 , b ) 150 , c ) 270 , d ) 300 , e ) 450
Output: d
Problem: sandy is younger than molly by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ? 
Options: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) 45
Output: c
Problem: if both 2 ^ 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 ) 6 , b ) 9 , c ) 12 , d ) 15 , e ) 18
Output: b
Problem: in a school 20 % of the boys are same in number as 1 / 4 th of the girls . what is the ratio of boys to the girls in the school ? 
Options: a ) 5 : 4 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5
Output: a
Problem: the compound ratio of 5 : 8 , 3 : 2 and 4 : 5 ? 
Options: a ) 1 : 1 , b ) 1 : 87 , c ) 3 : 4 , d ) 1 : 9 , e ) 1 : 2
Output: c
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 9 : 1 . if 90 % of the toyota bought and 10 % 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 ) 82 % , b ) 64 % , c ) 28 % , d ) 69 % , e ) 80 %
Output: a
Problem: in a sports club with 30 members , 18 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: c
Problem: the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 150 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? 
Options: a ) 30 , b ) 50 , c ) 70 , d ) 80 , e ) 90
Output: a
Problem: what is the square root of 239,121 ? 
Options: a ) 476 , b ) 489 , c ) 497 , d ) 511 , e ) 524
Output: b
Problem: of the female students at barkely university , 1 / 6 are on the honor roll . of the male students , 2 / 5 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 ) 8 / 5 , b ) 3 / 15 , c ) 23 / 30 , d ) 43 / 60 , e ) 53 / 90
Output: a
Problem: the sub - duplicate ratio of 25 : 16 is 
Options: a ) 4 : 3 , b ) 1 : 2 , c ) 1 : 3 , d ) 5 : 4 , e ) 2 : 3
Output: d
Problem: in a group of 600 readers who read science fiction or literacy works or both , 200 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ? 
Options: a ) 70 , b ) 30 , c ) 25 , d ) 100 , e ) 110
Output: b
Problem: in a factory , each day the expected number of accidents is related to the number of overtime hour by linear equation . suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents . what is the expected number of accidents when no overtime hours are logged ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output: b
Problem: each factor of 200 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 40 ? 
Options: a ) 1 / 6 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
Output: a
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 48 . what is sum of the numbers ? 
Options: a ) 28 , b ) 56 , c ) 76 , d ) 84 , e ) 85
Output: a
Problem: the incomes of two persons a and b are in the ratio 3 : 4 . if each saves rs . 100 per month , the ratio of their expenditures is 1 : 2 . find their incomes ? 
Options: a ) 150,287 , b ) 150,219 , c ) 150,200 , d ) 150,298 , e ) 150,217
Output: c
Problem: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 15 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ? 
Options: a ) 33 , b ) 34 , c ) 35 , d ) 39 , e ) 37
Output: d
Problem: a firm is comprised of partners and associates in a ratio of 2 : 63 . if 50 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ? 
Options: a ) 5 , b ) 10 , c ) 12 , d ) 20 , e ) 25
Output: d
Problem: 70 students are required to paint a picture . 52 use green color and some children use red , 38 students use both the colors . how many students use red color ? 
Options: a ) 53 , b ) 54 , c ) 55 , d ) 56 , e ) 57
Output: d
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 ) 30 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Output: c
Problem: in a class there are 55 pupil , out of them 10 are in debate only and 18 in singing only . then how many in both ? 
Options: a ) 132 , b ) 26 , c ) 17 , d ) 11 , e ) 12
Output: c
Problem: if 40 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? 
Options: a ) 540 , b ) 528 , c ) 530 , d ) 520 , e ) 510
Output: b
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 . 64.50 per kg ? 
Options: a ) 3 : 1 , b ) 2 : 1 , c ) 5 : 2 , d ) 3 : 2 , e ) 3 : 4
Output: a
Problem: divide $ 672 among a , b in the ratio 5 : 3 . how many $ that a get ? 
Options: a ) $ 120 , b ) $ 500 , c ) $ 420 , d ) $ 610 , e ) $ 315
Output: c
Problem: in township k , 1 / 4 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15
Output: b
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 , 585.75 . how many boxes of plain cookies did she sell ? 
Options: a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 791
Output: e
Problem: puzzle ! ! ! 🙂 if 111 = 09 444 = 12 777 = 15 then 888 = ? ? ? 
Options: a ) 13 , b ) 17 , c ) 18 , d ) 11 , e ) 15
Output: e
Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is : 
Options: a ) 1 : 2 , b ) 5 : 9 , c ) 2 : 1 , d ) 11 : 24 , e ) none
Output: c
Problem: in a class of 54 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ? 
Options: a ) 30 , b ) 10 , c ) 18 , d ) 28 , e ) 32
Output: e
Problem: x starts a business with rs . 45000 . y joins in the business after 6 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 ) 3 : 1 , d ) 2 : 3 , e ) 5 : 3
Output: c
Problem: a certain bag contains 60 balls — 22 white , 10 green , 7 yellow , 15 red , and 6 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 ) 0.09 , b ) 0.65 , c ) 0.54 , d ) 0.85 , e ) 0.91
Output: b
Problem: find the ratio in which rice at rs . 7.30 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg 
Options: a ) 2 : 0 , b ) 2 : 3 , c ) 3 : 5 , d ) 2 : 2 , e ) 2 : 8
Output: c
Problem: divide $ 1000 among a , b in the ratio 1 : 3 . how many $ that a get ? 
Options: a ) $ 50 , b ) $ 500 , c ) $ 150 , d ) $ 250 , e ) $ 600
Output: d
Problem: there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 36 , then find the smaller number ? 
Options: a ) 25 , b ) 66 , c ) 77 , d ) 60 , e ) 44
Output: d
Problem: two numbers are respectively 20 % and 50 % more than a third number . the ratio of the two numbers is : 
Options: a ) 3 : 5 , b ) 4 : 5 , c ) 5 : 5 , d ) 4 : 3 , e ) 2 : 1
Output: b
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is 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 ) 12 : 8 , b ) 8 : 16 , c ) 9 : 16 , d ) 8 : 12 , e ) 16 : 9
Output: c
Problem: the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 2 . the sum of numbers is : 
Options: a ) 28 , b ) 30 , c ) 40 , d ) 50 , e ) 72
Output: e
Problem: set x consists of the integers from 10 to 15 , inclusive , while set y consists of the integers from 5 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 8 , c ) 4 , d ) 1 , e ) 9
Output: d
Problem: the present ratio of students to teachers at a certain school is 30 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: e
Problem: two whole numbers whose sum is 36 can not be in the ratio 
Options: a ) 2 : 4 , b ) 3 : 4 , c ) 3 : 6 , d ) 1 : 3 , e ) 3 : 36
Output: b
Problem: in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 16 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: e
Problem: what is the sum of all the prime factors of 220 and 330 ? 
Options: a ) 15 , b ) 21 , c ) 35 , d ) 41 , e ) 64
Output: d
Problem: x starts a business with rs . 45000 . y joins in the business after 4 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 ) 9 : 4
Output: e
Problem: a began business with rs . 45000 and was joined afterwards by b with rs . 5400 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 6 , e ) 5
Output: a
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 663 and for 36 kgs of apples is 726 then the cost of first 10 kgs of apples is 
Options: a ) 100 , b ) 150 , c ) 200 , d ) 350 , e ) 450
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 1 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 15 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Output: a
Problem: if shares of two persons in profits are rs . 800 and rs . 600 then ratio of their capitals is 
Options: a ) 3 : 4 , b ) 2 : 3 , c ) 4 : 3 , d ) 1 : 3 , e ) 1 : 5
Output: c
Problem: if 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 then 12 = ? hint : its a logic riddle not a mathematical riddle 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 190 girls , the total number of students in the college is ? 
Options: a ) 562 , b ) 356 , c ) 452 , d ) 494 , e ) 512
Output: d
Problem: in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 8 and the other one , that is cheaper , costs $ 3 . the factory holds a $ 100 worth stock of 25 modules . how many of the modules in the stock are of the cheaper kind ? 
Options: a ) 21 , b ) 20 , c ) 22 , d ) 23 , e ) 24
Output: b
Problem: a bag contains 4 red , 5 blue and 3 green balls . if 3 ballsare picked at random , what is the probability that both are red ? 
Options: a ) 1 / 33 , b ) 1 / 22 , c ) 1 / 12 , d ) 1 / 44 , e ) 1 / 55
Output: e
Problem: the ratio of three numbers is 1 : 2 : 3 and their sum is 60 . the second number of the three numbers is ? 
Options: a ) 24 , b ) 26 , c ) 20 , d ) 29 , e ) 30
Output: c
Problem: a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? 
Options: a ) 2 : 5 , b ) 3 : 7 , c ) 3 : 5 , d ) 5 : 12 , e ) 7 : 3
Output: d
Problem: among 200 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 ) 60 , b ) 90 , c ) 120 , d ) 172 , e ) 188
Output: a
Problem: in a school 10 % of the boys are same in number as 1 / 4 th of the girls . what is the ratio of boys to the girls in the school ? 
Options: a ) 5 : 2 , b ) 2 : 3 , c ) 1 : 4 , d ) 3 : 7 , e ) 2 : 5
Output: a
Problem: how many factors of 440 are odd numbers greater than 1 ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: a
Problem: a bag contains 6 green balls and 7 white balls . if two balls are drawn simultaneously , what is the probability that both balls are the same colour ? 
Options: a ) 2 / 7 , b ) 3 / 10 , c ) 5 / 11 , d ) 6 / 13 , e ) 11 / 21
Output: d
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 5 . 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 ) 20 : 9 , e ) 1 : 2
Output: d
Problem: in a colony of 70 resident s , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of education to uneducated persons is 8 : 27 , then find the ratio of the number of educated and uneducated men in the colony ? 
Options: a ) 1 : 9 , b ) 1 : 6 , c ) 1 : 3 , d ) 1 : 1 , e ) 1 ratio 3
Output: e
Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 36 white marbles . how many red marbles could be in bag a ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Output: e
Problem: a bag holds 4 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? 
Options: a ) 1 / 10 , b ) 1 / 6 , c ) 3 / 10 , d ) 2 / 5 , e ) 1 / 4
Output: b
Problem: in a college , the ratio of the number of boys to girls is 6 : 5 . if there are 200 girls , the total number of students in the college is 
Options: a ) 440 , b ) 520 , c ) 620 , d ) 720 , e ) 820
Output: a
Problem: in a class of 50 students , 18 take chorus , 26 take band , and 2 take both chorus and band . how many students in the class are not enrolled in either chorus or band ? 
Options: a ) 8 , b ) 12 , c ) 15 , d ) 16 , e ) 18
Output: a
Problem: nitin ranks 23 th in a class of 60 students . what is rank from the last ? 
Options: a ) 33 , b ) 38 , c ) 32 , d ) 28 , e ) 19
Output: b
Problem: a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 70 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ? 
Options: a ) 3 / 16,000 , b ) 1 / 8,100 , c ) 7 / 48,000 , d ) 1 / 90 , e ) 2 / 45
Output: c
Problem: the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ? 
Options: a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28
Output: d
Problem: the h . c . f . of two numbers is 59 and the other two factors of their l . c . m . are 13 and 16 . the larger of the two numbers is : 
Options: a ) 678 , b ) 944 , c ) 456 , d ) 323 , e ) 899
Output: b
Problem: in a sports club with 30 members , 17 play badminton and 21 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: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is 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 halved by water evaporation . at that time , what is the ratio of water to salt in the solution ? 
Options: a ) 1 : 1 , b ) 2 : 3 , c ) 3 : 2 , d ) 9 : 4 , e ) 36 : 8
Output: e
Problem: a person want to give his money of $ 1800 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ? 
Options: a ) $ 700 , b ) $ 600 , c ) $ 900 , d ) $ 500 , e ) $ 400
Output: b
Problem: an urn contains 10 black and 5 white balls . two balls are drawn from the urn one after the other without replacement . what is the probability that both drawn balls are black ? 
Options: a ) 1 / 5 , b ) 3 / 7 , c ) 2 / 5 , d ) 3 / 5 , e ) 2 / 7
Output: b
Problem: what is the square root of 121 ? 
Options: a ) 11 , b ) 12 , c ) 16 , d ) 18 , e ) 25
Output: a
Problem: a 30 kg metal bar made of alloy of tin and silver lost 3 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: 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 342 grams of compound x ? 
Options: a ) 54 , b ) 162 , c ) 250 , d ) 270 , e ) 280
Output: e
Problem: the ratio of three numbers is 1 : 3 : 4 and the sum of their squares is 2600 . the sum of the numbers is ? 
Options: a ) a ) 10 , b ) b ) 12 , c ) c ) 15 , d ) d ) 14 , e ) e ) 9
Output: a
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 6 ounces of corn syrup , how many ounces of water does it contain ? 
Options: a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 90
Output: e
Problem: the simple form of the ratio 8 / 5 : 2 / 3 is ? 
Options: a ) 12 : 5 , b ) 12 : 7 , c ) 7 : 12 , d ) 5 : 7 , e ) 4 : 7
Output: a
Problem: income and expenditure of a person are in the ratio 4 : 3 . if the income of the person is rs . 20000 , then find his savings ? 
Options: a ) rs . 3600 , b ) rs . 3603 , c ) rs . 3639 , d ) rs . 3632 , e ) rs . 5000
Output: e
Problem: two assembly line inspectors , smithy and glen , inspect widgets as they come off the assembly line . if smithy inspects every fifth widget , starting with the fifth , and glen inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ? 
Options: a ) 50 , b ) 53 , c ) 55 , d ) 60 , e ) 65
Output: b
Problem: if the ratio of two number is 5 : 7 and lcm of the number is 320 then what is the number . 
Options: a ) 15 , b ) 9 , c ) 10 , d ) 11 , e ) 35
Output: b
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 168 and for 36 kgs of apples is 186 then the cost of first 20 kgs of apples is 
Options: a ) 3.69 , b ) 3.66 , c ) 3.6 , d ) 100 , e ) 3.61
Output: d
Problem: in a graduating class of 233 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 114 , b ) 119 , c ) 113 , d ) 88 , e ) 31
Output: a
Problem: the duplicate ratio of 6 : 4 is ? 
Options: a ) 1 : 2 , b ) 9 : 4 , c ) 1 : 8 , d ) 1 : 18 , e ) 1 : 13
Output: b
Problem: the ratio between the sale price and the cost price of an article is 6 : 2 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 23 , b ) 1 : 2 , c ) 2 : 5 , d ) 3 : 5 , e ) 2 : 1
Output: e
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 150 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
Output: c
Problem: there are 250 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ? 
Options: a ) 134 , b ) 138 , c ) 142 , d ) 146 , e ) 150
Output: e
Problem: sandy is younger than molly by 20 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: e
Problem: what is the square root of 96,721 ? 
Options: a ) 476 , b ) 489 , c ) 289 , d ) 511 , e ) 311
Output: e
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Output: d
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 . 78 per kg ? 
Options: a ) 5 : 8 , b ) 4 : 7 , c ) 3 : 7 , d ) 9 : 5 , e ) 9 : 8
Output: d
Problem: log 3 n + log 5 n what is 3 digit number n that will be whole number 
Options: a ) 629 , b ) 729 , c ) 829 , d ) 125 , e ) 727
Output: d
Problem: a dog takes 5 leaps for every 7 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 ) 16 : 7 , b ) 15 : 7 , c ) 20 : 7 , d ) 7 : 15 , e ) 14 : 7
Output: b
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 12 and 13 . the larger of the two numbers is : 
Options: a ) 299 , b ) 278 , c ) 322 , d ) 231 , e ) 121
Output: a
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 343 , what is the common ratio of the g . p ? 
Options: a ) 3 , b ) 1 / 3 , c ) 2 , d ) 7 , e ) 1 / 7
Output: d
Problem: in what ratio must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 kg ? 
Options: a ) 7 : 3 , b ) 3 : 7 , c ) 4 : 6 , d ) 5 : 7 , e ) 8 : 9
Output: a
Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 19 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ? 
Options: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 7 / 10 , e ) 29 / 100
Output: e
Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 5 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ? 
Options: a ) 59 , b ) 65 , c ) 70 , d ) 77 , e ) 98
Output: a
Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 25 and 24 . the larger of the two numbers is 
Options: a ) 276 , b ) 799 , c ) 712 , d ) 750 , e ) none
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 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 19 : 1 , b ) 19 : 4 , c ) 19 : 8 , d ) 38 : 10 , e ) 38 : 2
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 . 157 per kg , the price of the third variety per kg will be 
Options: a ) rs . 179.50 , b ) rs . 1700 , c ) rs . 175.50 , d ) rs . 180 , e ) none
Output: a
Problem: the ratio between the sale price and the cost price of an article is 7 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 8 , b ) 2 : 1 , c ) 2 : 2 , d ) 2 : 4 , e ) 2 : 5
Output: e
Problem: a 70 kg metal bar made of alloy of tin and silver lost 7 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: find the number of zeroes at the end of 50 ! 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Output: c
Problem: how many of the positive factors of 19 are not factors of 29 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: b
Problem: if g and f are both odd prime numbers andg < f , then how many different positive integer factors does 2 gfhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Output: d
Problem: find the compound ratio of ( 2 : 5 ) , ( 6 : 11 ) and ( 11 : 2 ) is 
Options: a ) 3 : 2 , b ) 2 : 1 , c ) 1 : 2 , d ) 6 : 5 , e ) 2 : 3
Output: d
Problem: the marks obtained by polly and sandy are in the ratio 3 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2 . the marks obtained by polly and willy are in the ratio of . . . ? 
Options: a ) 2 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 4 , e ) 6 : 5
Output: b
Problem: a shipment of 220 smartphones contains 84 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 ) 11 / 76 , d ) 1 / 9 , e ) 1 / 3
Output: c