choices dict | answerKey listlengths 1 1 | question stringlengths 5 967 | rationale stringlengths 1 2.74k | dataset stringclasses 1
value |
|---|---|---|---|---|
{
"text": [
"9680",
"2277",
"11680",
"12068",
"1212"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | sonika deposited rs . 8000 which amounted to rs . 11200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ? | "( 8000 * 3 * 2 ) / 100 = 480 11200 - - - - - - - - 11680 answer : c" | MathQA |
{
"text": [
"rs . 15",
"rs . 16",
"rs . 17",
"rs . 18",
"rs . 19"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 % . the wholesaler sells the same to retailer at a profit of 20 % . the retailer in turn sells them to a customer for rs . 30.09 , there by earning a profit of 25 % . the cost price for the manufacturer is : | let the cost price for the manufacturer be rs . x . then , 125 % of 120 % of 118 % of x = 30.09 . 125 / 100 * 120 / 100 * 118 / 100 * x = 3009 / 100 177 / 100 x = 3009 / 100 = > x = 17 answer : c | MathQA |
{
"text": [
"24,550",
"28,550",
"32,550",
"36,550",
"40,550"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 602 to 700 inclusive ? | "2 + 4 + 6 + 8 + . . . + 100 = 2550 602 + 604 + . . . + 700 = 50 ( 600 ) + ( 2 + 4 + . . . + 100 ) = 30,000 + 2550 = 32,550 the answer is c ." | MathQA |
{
"text": [
"31",
"35",
"88",
"13",
"12"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the average runs scored by a batsman in 10 matches is 40 . in the next 10 matches the batsman scored an average of 30 runs . find his average in all the 20 matches ? | "total score of the batsman in 10 matches = 400 . total score of the batsman in the next 10 matches = 300 . total score of the batsman in the 20 matches = 700 . average score of the batsman = 700 / 20 = 35 . answer : b" | MathQA |
{
"text": [
"400",
"360",
"300",
"290",
"200"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | there are 300 giraffes at a large zoo . the number of giraffes is 3 times the number of all the other animals combined . how many more giraffes are there than non giraffes animals at the zoo ? | answer is d . total giraffes = 300 = 3 * other animals ( x ) or x = 10 . so , difference in giraffes and x = 300 - 10 = 290 . | MathQA |
{
"text": [
"3 / 8",
"7 / 16",
"1 / 2",
"5 / 8",
"7 / 8"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | bucket a is 1 / 4 full of sand , and bucket b , which has one - half the capacity of bucket a , is 3 / 8 full of sand . jana pours the contents of bucket b into bucket a . bucket a is now filled to what fraction of its capacity ? | let capapcity of a = x sand = x / 4 capacity of b = x / 2 sand = 3 x / 16 a total = x / 4 + 3 x / 16 = 7 x / 16 answer : b | MathQA |
{
"text": [
"4",
"0",
"1",
"2",
"24"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 15 . what is the value of f ( 6 ) ? | since f ( n ) = f ( n - 1 ) - n then : f ( 6 ) = f ( 5 ) - 6 and f ( 5 ) = f ( 4 ) - 5 . as given that f ( 4 ) = 15 then f ( 5 ) = 15 - 5 = 10 - - > substitute the value of f ( 5 ) back into the first equation : f ( 6 ) = f ( 5 ) - 6 = 10 - 6 = 4 . answer : a . questions on funtions to practice : | MathQA |
{
"text": [
"14000",
"12000",
"12019",
"12197",
"12012"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1100 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ? | "[ 1100 + ( x - 4000 ) * ( 2.5 / 100 ) ] - x * ( 5 / 100 ) = 600 x = 14000 answer : a" | MathQA |
{
"text": [
"53",
"52",
"51",
"50",
"48"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | andy solves problems 78 to 125 inclusive in a math exercise . how many problems does he solve ? | "125 - 78 + 1 = 48 ' e ' is the answer" | MathQA |
{
"text": [
"5 / 8",
"3 / 4",
"3 / 8",
"7 / 4",
"5 / 6"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a fair 2 sided coin is flipped 3 times . what is the probability that tails will be the result at least twice , but not more than 3 times ? | "at least twice , but not more than 3 timesmeans exactly 2 times , 3 times the probability of getting exactly k results out of n flips is nck / 2 ^ n 3 c 2 / 2 ^ 3 = 3 / 8 option : c" | MathQA |
{
"text": [
"21",
"34",
"30",
"25",
"12"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a ' and ' b ' are positive integers such that their lcm is 20 and their hcf is 1 . what is the addition of the maximum and minimum possible values of ' a + b ' ? | "possible values of a and b can be 5,4 ; 4,5 ( which are same for a + b ) and 1,20 ; 20,1 ( same result for a + b ) so 21 + 9 = 30 ans c" | MathQA |
{
"text": [
"1 / 5",
"1 / 4",
"7 / 20",
"3 / 5"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"A"
] | 3 / 5 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ? | plug in simple numbers . take 100 couples for example . 3 / 5 of 100 couples have more than one child = 60 couples . 2 / 5 of 100 couples have more than 3 kids = 40 couples . this implies that 40 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples , which equals 20 couples have ... | MathQA |
{
"text": [
"1.3 hour",
"1.2 hour",
"3 hours",
"5 hours",
"6 hours"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | one pump drains one - half of a pond in 2 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ? | "the tricky part here , i believed is one half hour = 1 / 2 . then everything would be easy . we have the 1 st pump working rate / hour = 1 / 2 : 2 = 1 / 4 working rate of 2 pumps : 1 / 2 : 1 / 2 = 1 . working rate of 2 nd pump : 1 - 1 / 4 = 3 / 4 - - > time taken for the 2 nd pump to finish : 1 : 3 / 4 = 4 / 3 = 1.3 h... | MathQA |
{
"text": [
"3",
"6",
"17",
"23",
"24"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18 , then n = | "2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18 = > 4 x 2 ^ 2 n = 4 ^ 24 = 2 ^ 36 = > 2 ^ 2 x 2 ^ 2 n = 2 ^ 36 = > 2 ^ ( 2 n + 2 ) = 2 ^ 36 = > 2 n + 2 = 36 = > n = 17 so . answer will be c ." | MathQA |
{
"text": [
"72 %",
"42 %",
"34 %",
"12 %",
"22 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a fair price shopkeeper takes 10 % profit on his goods . he lost 40 % goods during theft . his loss percent is : | explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 60 . s . p . of each item = rs . 1.10 total sale = 1.10 * 60 = rs . 66 hence , loss % = 34 / 100 * 100 = 34 % answer : c | MathQA |
{
"text": [
"30",
"45",
"60",
"120",
"135"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 3 / 4 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ? | "we can start with the known quantity and then go on to find the others . shiny igneous ricks are 30 . these are ( 3 / 4 ) of total igneous rocks . ( 2 / 3 ) * total igneous rocks = 30 total igneous rocks = 30 * ( 4 / 3 ) = 40 total sedimentary rocks = 2 * total igneous rocks = 2 * 40 = 80 total number of rocks = 40 + ... | MathQA |
{
"text": [
"50",
"53",
"55",
"60",
"65"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | 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... | widgets inspected by smithy : ( ( 95 - 5 ) / 5 ) + 1 = 18 + 1 = 19 widgets inspected by glen : ( ( 96 - 3 ) / 3 ) + 1 = 31 + 1 = 32 widgets inspected by both : ( ( 90 - 15 ) + 1 = 6 total : 19 + 32 - 6 = 45 hence , widgets not inspected : 98 - 45 = 53 option b | MathQA |
{
"text": [
"99",
"65",
"79",
"78",
"80"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | what is the sum of the numbers between 1 and 12 , inclusive ? | "sol . add the numbers between 1 and 12 . answer is d , 78 ." | MathQA |
{
"text": [
"72 kmph",
"75 kmph",
"95 kmph",
"80 kmph",
"82 kmph"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the speed of a car is 120 km in the first hour and 70 km in the second hour . what is the average speed of the car ? | "s = ( 120 + 70 ) / 2 = 95 kmph answer : c" | MathQA |
{
"text": [
"42",
"36",
"30",
"48"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"A"
] | in a class of 60 children , 30 % children can speak only english , 20 % hindi and english both and the rest of the children can speak only hindi . how many children can speak hindi ? | number of students who speak only english = 30 % of 60 = 18 ∵ number of students who speak hindi and english = 20 % of 60 = 12 ∵ number of students who speak only hindi = ( 60 – 30 = ) 30 ∵ no . of students who speak hindi = 30 + 12 = 42 answer a | MathQA |
{
"text": [
"288",
"278",
"800",
"267",
"1280"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | 25 % of a number is more than 20 % of 650 by 190 . find the number ? | "( 25 / 100 ) * x â € “ ( 20 / 100 ) * 650 = 190 1 / 4 x = 320 x = 1280 answer : e" | MathQA |
{
"text": [
"16', '",
"48', '",
"64', '",
"32', '",
"8']"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ? | number of ounces per cylinder 8 number of cylinders 6 ounces needed 48 ounces used 16 answer d | MathQA |
{
"text": [
"45",
"65",
"55",
"75",
"85"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a car traveled 35 % of the way from town x to town y at an average speed of 35 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? | "assume total distance = 100 miles time taken for 35 miles = 35 / 35 = 1 hour time taken for the rest of the 65 miles = 65 / v hours . average speed = 50 therefore the total time needed = 2 hours . 2 = 1 + 65 / v hence v = 65 mph answer : b" | MathQA |
{
"text": [
"rs . 600",
"rs . 890",
"rs . 895",
"rs . 900"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"A"
] | if the compound interest on a certain sum of money for 2 years at 10 % per annum be rs . 993 , what would be the simple interest ? | "let p = principal a - amount we have a = p ( 1 + r / 100 ) 3 and ci = a - p atq 993 = p ( 1 + r / 100 ) 3 - p ? p = 3000 / - now si @ 10 % on 3000 / - for 2 yrs = ( 3000 x 10 x 2 ) / 100 = 600 / - answer : a ." | MathQA |
{
"text": [
"1 / 2",
"2 / 3",
"1",
"3 / 2",
"2"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of two hammers and two wrenches is one - third that of 8 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ? | x be the weight of a hammer and y be the weight of a wrench . ( 2 x + 2 y ) = 1 / 3 * ( 8 x + 5 y ) 3 ( 2 x + 2 y ) = ( 8 x + 5 y ) 6 x + 6 y = 8 x + 5 y y = 2 x ans - e | MathQA |
{
"text": [
"rs . 169.50",
"rs . 1700",
"rs . 185.50",
"rs . 180"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"C"
] | tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 163 per kg , the price of the third variety per kg will be | "solution since first second varieties are mixed in equal proportions , so their average price = rs . ( 126 + 135 / 2 ) = rs . 130.50 so , the mixture is formed by mixing two varieties , one at rs . 130.50 per kg and the other at say , rs . x per kg in the ratio 2 : 2 , i . e . , 1 : 1 . we have to find x . x - 163 / 2... | MathQA |
{
"text": [
"10 %",
"20 %",
"30 %",
"40 %",
"50 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | in an examination , 25 % of total students failed in hindi , 40 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is : | "pass percentage = 100 - ( 25 + 40 - 35 ) = 100 - 70 = 30 answer : c" | MathQA |
{
"text": [
"7.8",
"6.0",
"6.7",
"9.7",
"18.0"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | the total circumference of two circles is 49 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ? | "let r = radius of smaller circle . let r = radius of larger circle therefore : 2 π r + 2 π r = 49 where 2 r = r thus : 2 π r + 4 π r = 49 6 π r = 49 r = approx 2.6 π r + 2 r π = 49 3 π r = 49 r = approx 5.2 r + r = approx 7.8 answer : a" | MathQA |
{
"text": [
"42.85",
"44",
"48",
"38",
"40"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a certain pair of used shoes can be repaired for $ 10.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 30.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? | "1 ) cost of repairing = 10.5 ( for one year ) , therefore for 2 years it would be $ 21 . 2 ) cost of new pair which will last for 2 years is $ 30.00 percentage change formula = ( final value - initial value ) / ( initial value ) * 100 . in this case the final value would be the price of new shoe initial value would be... | MathQA |
{
"text": [
"17.5",
"7.4",
"7.9",
"12.0",
"7.1"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | "net part filled in 1 hour = ( 1 / 4 - 1 / 6 ) = 1 / 12 the cistern will be filled in 12 / 1 hrs i . e . , 12 hrs . answer : d" | MathQA |
{
"text": [
"32 : 45",
"32 : 47",
"32 : 45",
"32 : 41",
"32 : 42"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a and b invests rs . 8000 and rs . 9000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ? | "a : b ( 8000 * 4 ) + ( 4000 * 8 ) : ( 9000 * 6 ) + ( 6000 * 6 ) 64000 : 90000 32 : 45 . answer : a" | MathQA |
{
"text": [
"75 m .",
"80 m .",
"84 m .",
"100 m ."
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"C"
] | a runs twice as fast as b and gives b a start of 42 m . how long should the racecourse be so that a and b might reach in the same time ? | "ratio of speeds of a and b is 2 : 1 b is 42 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 42 m is 42 / 1 = 42 m so the total time taken by a and b to reach = 2 * 42 = 84 m answer : c" | MathQA |
{
"text": [
"72",
"88",
"95",
"120",
"135"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 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 ? | "the ratio of yankees : mets : red sox = 6 : 4 : 5 the mets fans are 4 / 15 of the population . ( 4 / 15 ) * 330 = 88 the answer is b ." | MathQA |
{
"text": [
"3",
"4",
"5",
"6",
"7"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | what is the 26 th digit to the right of the decimal point in the decimal form of 6 / 11 ? | "6 / 11 = 0.54545454 . . . the even numbered positions in the decimal expansion are all 4 . the answer is b ." | MathQA |
{
"text": [
"169",
"196",
"266",
"288",
"261"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | what is the area of square field whose side of length 13 m ? | "13 * 13 = 169 sq m answer : a" | MathQA |
{
"text": [
"5",
"6.25",
"7",
"7.5",
"4.8"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a can complete a certain job in 9 days . b is 80 % more efficient than a . in how many days can b complete the same job ? | "let , total work unit = 90 units a can finish in 9 days = 90 unit work i . e . a can finish in 1 days = 10 unit work i . e . b can finish in 1 days = 10 + ( 80 / 100 ) * 10 = 18 unit work days in which b will complete the work alone = 90 / 18 = 5 days answer : option a" | MathQA |
{
"text": [
"60 %",
"58 %",
"55 %",
"40 %",
"50 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | in what time a sum of money double itself at 2 % per annum simple interest ? | p = ( p * 2 * r ) / 100 r = 50 % answer : e | MathQA |
{
"text": [
"2",
"4 / 5",
"7 / 9",
"36 / 11",
"24 / 7"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a , b , c can complete a piece of work in 18 , 6,12 days . working together , they complete the same work in how many days ? | "a + b + c 1 day work = 1 / 18 + 1 / 6 + 1 / 12 = 11 / 36 a , b , c together will complete the job in 36 / 11 days answer is d" | MathQA |
{
"text": [
"0.6",
"0.8",
"1",
"1.2",
"1.4"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | if the horse can run 10 miles / hour , how many days would it take for a horse to run from new york city to washington . d . c . ? ( 240 miles from nyc to d . c . ) | the horse runs 10 miles / hour , thus it would take the horse 240 miles / 10 miles / hour to = 24 hours to run from nyc to d . c . there are 24 hours in a day , so days it take would be 24 hours / 24 hours / day = 1 day . correct option : 1 | MathQA |
{
"text": [
"- 11",
"- 9",
"9",
"8",
"- 7"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | solve below question 2 x + 1 = - 21 | "2 x + 1 = - 21 x = - 11 a" | MathQA |
{
"text": [
"2.91",
"2.911",
"2.469",
"2.586",
"2.499"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | solution for 2.12 + . 004 + . 345 | 2.12 + . 004 + . 345 0 = 0 - 2.12 - 0.004 - 0.345 0 = - 2.469 answer : c | MathQA |
{
"text": [
"1 / 2",
"1 / 3",
"1 / 5",
"1 / 6"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"A"
] | in a throw of dice what is the probability of ge æ « ng number greater than 3 | "explanation : number greater than 3 is 4 , 5 , 6 , so only 3 number total cases of dice = [ 1,2 , 3,4 , 5,6 ] so probability = 3 / 6 = 1 / 2 answer : a" | MathQA |
{
"text": [
"s . 40",
"s . 65",
"s . 49",
"s . 41",
"s . 42"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1300 , what is the reduced price for kg ? | "1300 * ( 25 / 100 ) = 325 - - - - 5 ? - - - - 1 = > rs . 65 answer : b" | MathQA |
{
"text": [
"90",
"99",
"97",
"95",
"65"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1 / 2 m board ? | "30 * 33 / 2 = 5 / 2 * 2 * x = > x = 99 answer b" | MathQA |
{
"text": [
"1",
"3",
"5",
"7",
"9"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | 20 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 4 : 3 ? | "let x be the amount of liquid q to be added . ( 2 / 5 ) * 20 + x = ( 3 / 7 ) * ( 20 + x ) 280 + 35 x = 300 + 15 x 20 x = 20 x = 1 the answer is a ." | MathQA |
{
"text": [
"s . 4000",
"s . 5000",
"s . 4500",
"s . 4800",
"s . 5800"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a sum amounts to rs . 5292 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ? | "ci = 5292 , r = 5 , n = 2 ci = p [ 1 + r / 100 ] ^ 2 = p [ 1 + 5 / 100 ] ^ 2 5292 = p [ 21 / 20 ] ^ 2 5292 [ 20 / 21 ] ^ 2 4800 answer : d" | MathQA |
{
"text": [
"10.56 mps",
"17.56 mps",
"97.56 mps",
"15.56 mps",
"18.56 mps"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | express a speed of 56 kmph in meters per second ? | "56 * 5 / 18 = 15.56 mps answer : d" | MathQA |
{
"text": [
"320 $",
"372 $",
"420 $",
"450 $",
"480 $"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty , how much money total will it cost to fuel all cars ? | "total cost = ( 1.75 * 12 ) + ( 0.65 * 12 * 45 ) = 21 + 351 = > 372 hence answer will be ( b ) 372" | MathQA |
{
"text": [
"15",
"42",
"44",
"45",
"18"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a group of men decided to do a work in 12 days , but 6 of them became absent . if the rest of the group did the work in 14 days , find the original number of men ? | "original number of men = 6 * 14 / ( 14 - 12 ) = 42 answer is b" | MathQA |
{
"text": [
"156",
"120",
"130",
"160",
"210"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 234 for it , the cost price of the cricket bat for a is : | "125 % of 120 % of a = 234 125 / 100 * 120 / 100 * a = 234 a = 234 * 2 / 3 = 156 . answer a" | MathQA |
{
"text": [
"55",
"56",
"57",
"58"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"B"
] | a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ? | "solution perimeter of the plot = 2 ( 90 + 50 ) = 280 m . ∴ number of poles = [ 280 / 5 ] = 56 m answer b" | MathQA |
{
"text": [
"16 %",
"20 %",
"32 %",
"40 %",
"52 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | in town x , 64 percent of the population are employed , and 49 percent of the population are employed males . what percent of the employed people in town x are females ? | "answer b male - employed - 64 % female - employed - 15 % total employed 64 % means total unemployed = 36 % therefore d and e are not correct because female unemployed has to be less than 36 % female - unemployed = 32 % male unemployed = 4 % 48 % + 4 % = 52 % 16 % + 32 % = 48 % plug in a and b in place of 32 % and the ... | MathQA |
{
"text": [
"30",
"36",
"40",
"48",
"60"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | the hiker walking at a constant rate of 6 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 30 miles per hour . the motor - cyclist stops to wait for the hiker 12 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must... | for the 12 minutes the motor - cyclist continues to overtake the hiker , she is going at 24 miles per hour faster than the hiker . once the motor - cyclist stops , the hiker is going at 6 miles per hour while the motor - cyclist is at rest so the amount of time the hiker will take to cover the distance between them is ... | MathQA |
{
"text": [
"16 %",
"12 %",
"74 %",
"10 %",
"45 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 2640 in all from both of them as interest . the rate of interest per annum is ? | "let the rate be r % p . a . then , ( 5000 * r * 2 ) / 100 + ( 3000 * r * 4 ) / 100 = 2640 100 r + 120 r = 2640 r = 12 % answer : b" | MathQA |
{
"text": [
"1 / 5",
"2 / 5",
"3 / 10",
"4 / 13",
"1 / 7"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ? | "here , s = [ 1 , 2 , 3 , 4 , … . , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 ] let e = event of getting a multiple of 3 = [ 3 , 6 , 9 , 12 , 15 , 18 , 21 , 24 ] p ( e ) = n ( e ) / n ( s ) = 8 / 26 = 4 / 13 the answer is d ." | MathQA |
{
"text": [
"70",
"400",
"150",
"35",
"350"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 56 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ? | "since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 56 , s... | MathQA |
{
"text": [
"20",
"21",
"19",
"17",
"15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? | "sum of the squares of 3 different positive integers = 219 13 ^ 2 + 7 ^ 2 + 1 ^ 2 = 219 now , sum of these 3 different integers = 13 + 7 + 1 = 21 ans - b" | MathQA |
{
"text": [
"7 / 27",
"1 / 6",
"1 / 5",
"4 / 21",
"5 / 21"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a certain list consists of 21 different numbers . if n is in the list and n is 7 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? | "series : a 1 , a 2 . . . . a 20 , n sum of a 1 + a 2 + . . . + a 20 = 20 * x ( x = average ) so , n = 7 * x hence , a 1 + a 2 + . . + a 20 + n = 27 x so , the fraction asked = 7 x / 27 x = 7 / 27 answer a" | MathQA |
{
"text": [
"70",
"66",
"68",
"69",
"72"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | in a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man . what is weight of new comer ? | solution : member in group * age increased = difference of replacement or , 8 * 1 = new comer - man going out or , new comer = 8 + 60 ; or , new comer = 68 years . answer : option c | MathQA |
{
"text": [
"5",
"3",
"6",
"7",
"8"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ? | the ratio of a and b is 5 x and 3 x years . after 2 years , their ratio will be 3 and 2 . ( i . e ) ( 5 x + 2 ) / ( 3 x + 2 ) = 3 / 2 10 x + 4 = 9 x + 6 x = 2 b ' s age = 3 x = 3 ( 2 ) = 6 years answer is option c | MathQA |
{
"text": [
"229",
"840",
"600",
"888",
"121"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a train leaves delhi at 7 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ? | "d = 30 * 7 = 210 rs = 40 – 30 = 10 t = 210 / 10 = 21 d = 40 * 21 = 840 km answer : b" | MathQA |
{
"text": [
"1 / 4",
"1 / 8",
"3 / 8",
"3 / 16",
"5 / 16"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 , inclusive ? | one case is rainy - rainy - rainy - not rainy . the probability of this case is ( 1 / 2 ) ^ 4 = 1 / 16 the number of possible cases is 4 c 3 = 4 . p ( exactly 3 rainy days ) = 4 * 1 / 16 = 1 / 4 the answer is a . | MathQA |
{
"text": [
"81000",
"81028",
"27772",
"29889",
"64800"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 51200 ? | 51200 * 9 / 8 * 9 / 8 = 64800 . answer : e | MathQA |
{
"text": [
"6.6",
"6.7",
"6.8",
"6.85",
"6.9"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 4 , while all other numbers remain the same , what is the new average of set s ? | "old set s - total is avg * no of elements = 6.2 * 10 = 62 if one number is increased by 4 then total increased to 62 + 4 = 66 new avg - 66 / 10 = 6.6 . hence answer is a ." | MathQA |
{
"text": [
"100 %",
"80 %",
"75 %",
"66 + 2 / 3 %",
"55 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | during a sale of 20 % on everything in a store , a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies . the store still makes a profit of 18 % on this sale . what is the mark up percentage on each candy ? | "hi akhil , i can share the way i solved it . . let ' s say marked price = m so , there ' s a discount of 20 % on m so , new s . p . = 80 % of m now , the child convinces the owner to sell 20 candies for the price of 14 candies . let ' s say each candy after discount is 1 $ . so , s . p . of 20 candies = 20 $ . the chi... | MathQA |
{
"text": [
"24",
"23",
"22",
"21",
"25"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | how many numbers are divisible by 4 between 1 and 100 . | "numbers divisible by 4 till 100 = ( 100 / 4 ) = 25 but we should not consider 100 as we are asked to find the number between 1 to 100 which are divisible by 4 . so answer is 24 numbers . option : a" | MathQA |
{
"text": [
"33",
"11",
"38",
"50",
"12"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . what is the actual distance travelled by him ? | "assume that the person would have covered x km if travelled at 10 km / hr ⇒ speed = distancetime = x 10 . . . . . ( equation 1 ) give that the person would have covered ( x + 20 ) km if travelled at 14 km / hr ⇒ speed = distancetime = ( x + 20 ) 14 . . . . . ( equation 2 ) from equations 1 and 2 , x 10 = ( x + 20 ) 14... | MathQA |
{
"text": [
"3",
"4",
"5",
"6",
"7"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | arjun started a business with rs . 40,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? | "suppose anoop joined after 3 months . then , 40000 * 12 = 80000 * ( 12 – x ) = > x = 6 . answer : d" | MathQA |
{
"text": [
"55500005",
"55511115",
"55522225",
"55533335",
"55544445"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | 5555 × 9999 = ? | "e 55544445 5555 × 9999 = 5555 ( 10000 - 1 ) = 5555 × 10000 - 5555 × 1 = 55550000 - 5555 = 55544445" | MathQA |
{
"text": [
"1951607",
"1951609",
"1951610",
"1951611",
"1951613"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | 1397 x 1397 = ? | "1397 x 1397 = ( 1397 ) 2 = ( 1400 - 3 ) 2 = ( 1400 ) 2 + ( 3 ) 2 - ( 2 x 1400 x 3 ) = 1960000 + 9 - 8400 = 1960009 - 8400 = 1951609 . b )" | MathQA |
{
"text": [
"25",
"26",
"27",
"28",
"29"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | if 5 < x < 11 and y = x + 6 , what is the greatest possible integer value of x + y ? | "x + y = x + x + 6 = 2 x + 6 we need to maximize this value and it needs to be an integer . 2 x is an integer when the decimal of x is . 0 or . 5 the largest such value is 10.5 then x + y = 10.5 + 16.5 = 27 . the answer is c ." | MathQA |
{
"text": [
"2 hours",
"2.4 hours",
"3.8 hours",
"3.5 hours",
"4.5 hours"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | pipe p can fill a tank in 8 hours , pipe q in 12 hours and pipe r in 20 hours . if all the pipes are open , in how many hours will the tank be filled ? | explanation : part filled by ( p + q + r ) in 1 hour = ( 1 / 8 + 1 / 12 + 1 / 20 ) = 31 / 120 all the three pipes together will fill the tank = 120 / 31 = 3.8 hours answer c | MathQA |
{
"text": [
"2 / 11",
"3 / 14",
"5 / 17",
"7 / 20",
"11 / 30"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 5 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she... | "let x be the fraction of her take - home pay that the worker saved . let p be the monthly pay . 12 xp = 5 ( 1 - x ) p 12 xp = 5 p - 5 xp 17 xp = 5 p x = 5 / 17 the answer is c ." | MathQA |
{
"text": [
"23.75",
"21.6",
"20",
"19.2"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"B"
] | a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 35 % , what should be the sale price of the mixed tea ? | "c . p . of mixture = 80 × 15 + 20 × 20 / 80 + 20 = 16 ∴ s . p . = ( 100 + 35 ) / 100 × 16 = 21.6 answer b" | MathQA |
{
"text": [
"55 / 601",
"601 / 55",
"11 / 120",
"120 / 11",
"120 / 13"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | if the sum of two numbers is 55 and the h . c . f and l . c . m of these numbers are 5 and 120 respectively , then the sum of the reciprocal of the numbers is equal to : | "let the numbers be a and b . then , a + b = 55 and ab = 5 * 120 = 600 . required sum = 1 / a + 1 / b = ( a + b ) / ab = 55 / 600 = 11 / 120 . answer : c" | MathQA |
{
"text": [
"40",
"2900 / 129",
"2430 / 70",
"2791 / 11",
"2719 / 8"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a person bought 129 glass bowls at a rate of rs . 11 per bowl . he sold 118 of them at rs . 15 and the remaining broke . what is the percentage gain for a ? | "cp = 129 * 11 = 1419 and sp = 118 * 15 = 1770 gain % = 100 * ( 1770 - 1419 ) / 1419 = 2900 / 129 answer : b" | MathQA |
{
"text": [
"4",
"4.5",
"4.8",
"5",
"5.5"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | two cars are driving toward each other . the first car is traveling at a speed of 100 km / h , which is 20 % slower than the second car ' s speed . if the distance between the cars is 1125 km , how many hours will it take until the two cars meet ? | "the speed of the first car is 100 km / h . the speed of the second car is 100 / 0.8 = 125 km / h . the two cars complete a total of 225 km each hour . the time it takes the cars to meet is 1125 / 225 = 5 hours . the answer is d ." | MathQA |
{
"text": [
"287",
"298",
"233",
"726",
"267"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a train 140 m long running at 84 kmph crosses a platform in 16 sec . what is the length of the platform ? | "d = 84 * 5 / 18 = 16 = 373 â € “ 140 = 233 answer : c" | MathQA |
{
"text": [
"25 kmph",
"20 kmph",
"28 kmph",
"35 kmph",
"32 kmph"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | by travelling at 70 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ? | let the time taken to reach the destination be 3 x hours . total distance = 70 * 3 x = 210 x km he covered 2 / 3 * 210 x = 140 x km in 1 / 3 * 3 x = x hours so , the remaining 70 x km , he has to cover in 2 x hours . required speed = 70 x / 2 x = 35 kmph . answer : d | MathQA |
{
"text": [
"700",
"650",
"1,300",
"1,500",
"1,800"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 50 more than the number who did not , and if receipts for registration and lunch totaled $ 82,900 , how ... | "hope this might be useful to you . let the number of people who have opted only to register = x now since the registration cost is 50 $ per person , the total amount sums to = 50 x $ as per the information given in the question , the number of registrants who paid for lunch was 50 more than the number who did not . th... | MathQA |
{
"text": [
"2",
"5",
"6",
"4",
"10"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | the unit digit in the product ( 594 * 897 * 929 * 462 ) is : | "explanation : unit digit in the given product = unit digit in ( 4 * 7 * 9 * 2 ) = 4 answer : d" | MathQA |
{
"text": [
"164",
"297",
"300",
"345",
"482"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | how many times will the digit 8 be written when listing the integers from 1 to 1000 ? | "many approaches are possible . for example : consider numbers from 0 to 999 written as follows : 1 . 000 2 . 001 3 . 002 4 . 003 . . . . . . . . . 1000 . 999 we have 1000 numbers . we used 3 digits per number , hence used total of 3 * 1000 = 3000 digits . now , why should any digit have preferences over another ? we u... | MathQA |
{
"text": [
"240",
"288",
"277",
"226",
"280"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 63 km / hr . what is the length of the platform ? | "speed = 63 * 5 / 18 = 17.5 m / sec . length of the train = 17.5 * 20 = 350 m . let the length of the platform be x m . then , ( x + 350 ) / 36 = 17.5 = > x = 280 m . answer : e" | MathQA |
{
"text": [
"5",
"4",
"6",
"8",
"3"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | machine a and machine b are each used to manufacture 330 sprockets . it takes machine a 10 hours longer to produce 330 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ? | "machine b : takes x hours to produce 330 sprockets machine a : takes ( x + 10 ) hours to produce 330 sprockets machine b : in 1 hour , b makes 330 / x sprockets machine a : in 1 hour , a makes 330 / ( x + 10 ) sprockets equating : 1.1 ( 330 / ( x + 10 ) ) = 330 / x 484 / ( x + 10 ) = 330 / x 363 x = 330 x + 3300 33 x ... | MathQA |
{
"text": [
"3",
"1 / 3",
"2",
"6",
"1 / 6"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 217 , what is the common ratio of the g . p ? | "217 = ( a 1 + a 2 + a 3 + a 4 + a 5 + a 6 ) / ( a 1 + a 2 + a 3 ) factorize the same terms 217 = 1 + ( a 4 + a 5 + a 6 ) / ( a 1 + a 2 + a 3 ) write every term with respect to r a 1 = a 1 a 2 = a 1 * r ^ 1 a 3 = a 1 * r ^ 2 . . . . . . . . . 217 = 1 + ( a 1 ( r ^ 3 + r ^ 4 + r ^ 5 ) ) / ( a 1 ( 1 + r ^ 1 + r ^ 2 ) ) 2... | MathQA |
{
"text": [
"",
"12",
"",
"15",
"",
"16",
"",
"17",
"",
"18"
],
"label": [
"A",
"A",
"B",
"B",
"C",
"C",
"D",
"D",
"E",
"E"
]
} | [
"B"
] | on dividing 136 by a number , the quotient is 9 and the remainder is 1 . find the divisor ? | "d = ( d - r ) / q = ( 136 - 1 ) / 9 = 135 / 9 = 15 b )" | MathQA |
{
"text": [
"8",
"12",
"18",
"14",
"16"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a 72 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? | "amount of salt = 7.2 assume x gallons of water are added . 7.2 / 72 + x = 8 / 100 720 = 8 x + 576 8 x = 144 x = 18 correct option : c" | MathQA |
{
"text": [
"8981",
"3799",
"1200",
"2693",
"1732"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the simple interest on a sum of money will be rs . 600 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? | "p - - - 10 - - - - 600 p - - - 5 - - - - - 300 3 p - - - 5 - - - - - 900 - - - - - - = > 1200 answer : c" | MathQA |
{
"text": [
"$ 200', '",
"$ 576', '",
"$ 480', '",
"$ 960', '",
"$ 1,920']"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? | the width of the rectangular floor ( 24 m ) is a multiple of one side of the square ( 8 m ) , and the length of the floor ( 64 m ) is also a multiple of the side of the square . so the number of carpets to cover the floor is ( 24 / 8 ) * ( 64 / 8 ) = 24 . the total cost is 24 * 24 = $ 576 . the answer is , therefore , ... | MathQA |
{
"text": [
"3",
"1",
"6",
"8",
"9"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | what least number must be subtracted from 427751 so that remaining no . is divisible by 10 | "explanation : on dividing 427751 by 10 we get the remainder 1 , so 1 should be subtracted option b" | MathQA |
{
"text": [
"$ 496.30",
"$ 512.40",
"$ 550",
"$ 574.90",
"$ 588.20"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | jim is able to sell a hand - carved statue for $ 660 which was a 20 % profit over his cost . how much did the statue originally cost him ? | "cost price = 660 / 120 * 100 = 550 answer : c" | MathQA |
{
"text": [
"5 : 2",
"5 : 1",
"4 : 3",
"4 : 1",
"3 : 1"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio f of men to women ? | ( a ) f = 184 x 5 + 170 x 2 = 1260 . a | MathQA |
{
"text": [
"rs . 692.80",
"rs . 905",
"rs . 990",
"rs . 1385"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"B"
] | average monthly income of a family of 3 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ? | "answer income of the deceased = total income of 4 members - total income of remaining 3 members . = 735 x 3 - 650 x 2 rs . = 905 rs . correct option : b" | MathQA |
{
"text": [
"2888",
"24000",
"27777",
"29997",
"27712"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 52000 , then the share of b is ? | "ratio of investments of a and b is ( 70000 * 12 ) : ( 120000 * 6 ) = 7 : 6 total profit = rs . 52000 share of b = 6 / 13 ( 52000 ) = rs . 24000 answer : b" | MathQA |
{
"text": [
"9",
"10",
"11",
"12",
"14"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a tank can supply water to a village for 20 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 15 days only . for how many days will the supply last if the leak drains out 20 liters per day ? | "losing 10 liters per day results in a loss of 150 liters in 15 days . so , those 150 liters were for 5 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 20 = 600 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 6... | MathQA |
{
"text": [
"",
"11",
"",
"18",
"",
"25",
"",
"29",
"",
"36"
],
"label": [
"A",
"A",
"B",
"B",
"C",
"C",
"D",
"D",
"E",
"D"
]
} | [
"C"
] | 31 of the scientists that attended a certain workshop were wolf prize laureates , and 14 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientist... | "lets solve by creating equation . . w = 31 . . total = 50 . . not w = 50 - 31 = 19 . . now let people who were neither be x , so out of 19 who won nobel = x + 3 . . so x + x + 3 = 19 or x = 8 . . so who won nobel but not wolf = x + 3 = 11 . . but people who won both w and n = 13 . . so total who won n = 11 + 14 = 25 .... | MathQA |
{
"text": [
"1 / 130",
"1 / 5",
"3 / 13",
"10 / 13",
"30 / 31"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction x of the selected films are in color ? | "it ' s y / xpercentnot y / x . if x = 20 and y = 10 . then : 20 x = 400 black - and - white films ; 6 y = 60 color films . y / x % = 10 / 20 % = 0.5 % of the black - and - white films , so 2 black - and - white films and all 60 color films , thus total of 62 films were selected . color films thus compose x = 60 / 62 =... | MathQA |
{
"text": [
"– 4",
"– 3",
"– 2",
"– 1",
"0"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | if the average ( arithmetic mean ) of x + 1 , x + 4 , and x + 7 is 0 , then x = | "( x + 1 + x + 4 + x + 7 ) / 3 = 0 = > 3 x + 12 = 0 = > x = - 4 answer a" | MathQA |
{
"text": [
"",
"12",
"",
"6",
"",
"10",
"",
"16",
"",
"19"
],
"label": [
"A",
"A",
"B",
"B",
"C",
"C",
"D",
"D",
"E",
"E"
]
} | [
"E"
] | for how many integers pair ( x , y ) satisfies the result ( 1 / x ) + ( ( 1 / y ) = 1 / 16 | it seems that the accepted answer is wrong , according to wolframalpha . the answer should be 31 , which is n ' t even listed as a selectable answer . e | MathQA |
{
"text": [
"5 / 9",
"3 / 15",
"23 / 45",
"43 / 60",
"53 / 90"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ? | "let the total students be 45 given 5 / 9 of the students are females = 25 then males = 4 / 9 = 20 3 / 5 of the females are on honor roll = 15 males on the honor roll = 2 / 5 = 8 total students on honor roll = 15 + 8 = 23 fraction = 23 / 45 c" | MathQA |
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