choices dict | answerKey listlengths 1 1 | question stringlengths 8 751 | rationale stringlengths 8 1.53k | dataset stringclasses 1
value |
|---|---|---|---|---|
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"145",
"185",
"253",
"370"
]
} | [
"C"
] | a number consists of 3 digits whose sum is 10 . the middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed . the number is | solution let the number be x . then 2 x = 10 or x = 5 . so , the number is either 253 or 352 . since the number increases on reversing the digits , so the hundred ' s digit is smaller than the units digit . hence , required number = 253 . answer c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"9 km",
"72.5 km",
"190.75 km",
"848 km"
]
} | [
"D"
] | on a scale of map , 0.4 cm represents 5.3 km . if the distance between the points on the map is 64 cm , the actual distance between these points is : | explanation : let the actual distance be x km . then , more distance on the map , more is the actual distance ( direct proportion ) = > 0.4 : 64 : : 5.3 : x = > 0.4 x = 64 x 5.3 = > x = 64 x 5.3 / 0.4 = > x = 848 answer : d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1628.4",
"1534",
"780",
"1496"
]
} | [
"C"
] | 15 people went to a hotel for combine dinner party 10 of them spent rs . 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15 . what was the total money spent by them . | "solution : let average expenditure of 15 people be x . then , 15 x = 10 * 50 + 5 * ( x + 4 ) ; or , 15 x = 10 * 50 + 5 x + 20 ; or , x = 52 ; so , total money spent = 52 * 15 = rs . 780 . answer : option c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"8.8",
"8.9",
"6.6",
"7.7"
]
} | [
"A"
] | 220 % of a number x is 44 . what is 44 % of x . | solution : given , 220 % of x = 44 or , x = 20 . thus , 44 % of 20 = ( 44 * 20 ) / 100 = 8.8 answer : option a | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0.08",
"0.8",
"9",
"90"
]
} | [
"A"
] | what is 15 % of 2 / 3 of 0.8 ? | "the best way to solve these questions is to convert every term into fraction ( 15 / 100 ) * ( 2 / 3 ) * ( 8 / 10 ) = 240 / 3000 = 0.08 option a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"16000",
"14567",
"13787",
"13456"
]
} | [
"C"
] | a courtyard is 28 meter long and 13 meter board is to be paved with bricks of dimensions 22 cm by 12 cm . the total number of bricks required is : | explanation : number of bricks = courtyard area / 1 brick area = ( 2800 Γ£ β 1300 / 22 Γ£ β 12 ) = 13787 option c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"800",
"500",
"900",
"1200"
]
} | [
"D"
] | find the value of 1.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] | "answer 1.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] = 1.5 x [ ( 36 x 48 x 250 ) / ( 12 x 9 x 5 ) ] = 1.5 x 4 x 4 x 50 = 1200 correct option : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"8 %",
"1 %",
"20 %",
"80 %"
]
} | [
"C"
] | the income of a broker remains unchanged though the rate of commission is increased from 4 % to 5 % . the percentage of slump in business is ? | answer let the business value change from a to b . then , 4 % of a = 5 % of b β 4 a / 100 = 5 b / 100 β b = 4 a / 5 β΄ change in business = ( a - 4 a / 5 ) = a / 5 percentage slump in business = { ( a / 5 ) / a } x 100 % = 20 % correct option : c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1 : 4', '",
"1 : 3', '",
"1 : 2', '",
"1 : 5', '"
]
} | [
"A"
] | the radii of two cones are in ratio 2 : 1 , their volumes are equal . find the ratio of their heights . | explanation : let their radii be 2 x , x and their heights be h and h resp . then , volume of cone = 1 / 3 Ο r 2 h 1 / 3 β Ο β ( 2 x ) 2 β h / 1 / 3 β Ο β x 2 β h = > hh = 14 = > h : h = 1 : 4 option a | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0.1 %",
"1 %",
"7 %",
"10 %"
]
} | [
"B"
] | i gain 70 paise on rs . 70 . my gain percent is : | solution 11.1 gain % = ( 0.70 / 70 x 100 ) % = 1 % . answer b | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"420",
"700",
"220",
"500"
]
} | [
"D"
] | a fruit seller had some oranges . he sells 20 % oranges and still has 400 oranges . how many oranges he had originally ? | "explanation : he sells 20 % of oranges and still there are 400 oranges remaining = > 80 % of oranges = 400 β ( 80 Γ total oranges ) / 100 = 400 β total oranges / 100 = 5 β total oranges = 5 Γ 100 = 500 answer : option d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"25",
"27",
"30",
"35"
]
} | [
"D"
] | the average of 5 numbers id 27 . if one number is excluded , the average becomes 25 . the excluded number is | solution excluded number = ( 27 x 5 ) - ( 25 x 4 ) = 135 - 100 = 35 . answer d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"25 / 8",
"25 / 4",
"25 / 6",
"3"
]
} | [
"A"
] | determine the value of ( 25 / 32 + 50 / 64 ) * 2 | "solution : both fractions should be reduced before performing arithmetic operations . we get ( 25 / 32 + 2.25 / 2.32 ) * 2 = ( 25 / 32 + 25 / 32 ) * 2 = 2 * ( 25 / 32 ) * 2 = 4 ( 25 / 32 ) = 25 / 8 answer a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0.65",
"0.25",
"0.75",
"0.85"
]
} | [
"C"
] | if 0.25 : x : : 2 : 6 , then x is equal to | "sol . ( x Γ 2 ) = ( 0.25 Γ 6 ) β x = 1.5 / 2 = 0.75 . answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"534",
"446",
"354",
"324"
]
} | [
"D"
] | 287 x 287 + 269 x 269 - 2 x 287 x 269 = ? | = a ^ 2 + b ^ 2 - 2 ab where a = 287 and b = 269 = ( a - b ) ^ 2 = ( 287 - 269 ) ^ 2 = ( 18 ) ^ 2 = 324 answer is d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"5 %",
"10 %",
"16 %",
"22 %"
]
} | [
"D"
] | in an acoustics class , 120 students are male and 100 students are female . 25 % of the male students and 20 % of the female students are engineering students . 20 % of the male engineering students and 25 % of the female engineering students passed the final exam . what percentage of engineering students passed the ex... | explanation : the number of female engineering students in the class is ( 20 / 100 ) Γ 100 = 20 . now , 25 % of the female engineering students passed the final exam : 25 . hence , the number of female engineering students who passed is 5 . there are 120 male students in the class . and 25 % of them are engineering stu... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"14 / 45",
"4 / 9",
"4 / 5",
"4 / 6"
]
} | [
"A"
] | the probability that a computer company will get a computer hardware contract is 2 / 3 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? | "explanation : let , a β‘ event of getting hardware contract b β‘ event of getting software contract ab β‘ event of getting both hardware and software contract . p ( a ) = 2 / 3 , p ( ~ b ) = 5 / 9 = > p ( b ) = 1 - ( 5 / 9 ) = 4 / 9 . a and b are not mutually exclusive events but independent events . so , p ( at least on... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"82 m",
"50 m",
"72 m",
"80 m"
]
} | [
"B"
] | two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 36 seconds . the length of each train is : | "explanation : the relative speed of train is 46 - 36 = 10 km / hr = ( 10 x 5 ) / 18 = 25 / 9 m / s 10 Γ 518 = 259 m / s in 36 secs the total distance travelled is 36 x 25 / 9 = 100 m . therefore the length of each train is = 100 / 2 = 50 m . answer b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"15",
"26",
"8",
"91"
]
} | [
"C"
] | if the sum of a number and its square is 72 , what is the number ? | "let the number be x . then , x + x 2 = 72 ( x + 9 ) ( x - 8 ) = 0 x = 8 answer : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"25 , 5",
"30 , 10",
"35 , 15",
"50 , 30"
]
} | [
"B"
] | the ages of two persons differ by 20 years . if 5 years ago , the older one be 5 times as old as the younger one , then their present ages , in years , are | "let the ages be β x β and β y β years now . then x - y = 20 . . . ( i ) ( x - 5 ) = 5 ( y - 5 ) . . . ( ii ) from ( i ) and ( ii ) , 20 + y - 5 = 5 y - 25 y = 10 and x = 30 . answer : b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"11', '",
"12', '",
"13', '",
"14', '"
]
} | [
"A"
] | the length of a rectangle is 5 more than the width . what are the dimensions of the rectangle if the perimeter is 34 ? | pretend width = 1 , then length = 6 ( 1 + 5 ) 2 Γ 1 + 2 Γ 7 = 2 + 14 = 16 . notice that 16 is far from a perimeter of 34 try much bigger number . how about if we . . . pretend width = 4 , then length = 9 ( 4 + 5 ) 2 Γ 4 + 2 Γ 9 = 6 + 18 = 24 . we are getting closer to a perimeter of 34 pretend width = 5 , then length =... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"23.75",
"22",
"20",
"19.2"
]
} | [
"D"
] | 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 20 % , what should be the sale price of the mixed tea ? | "c . p . of mixture = 80 Γ 15 + 20 Γ 20 / 80 + 20 = 16 β΄ s . p . = ( 100 + 20 ) / 100 Γ 16 = 19.2 answer d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"4",
"6",
"12",
"18"
]
} | [
"C"
] | find the highest common factor of 36 and 84 ? | 36 = 2 ^ 2 * 3 ^ 2 ; 84 = 2 ^ 2 * 3 * 7 h . c . f = 2 ^ 2 * 3 = 12 . correct option : c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"84 m",
"88 m",
"14 m",
"137 m"
]
} | [
"C"
] | 11 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be : | "sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 11 β = [ 11 * 20 * 20 * 7 / 22 ] = 1400 cm = 14 m . answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"6 hours",
"5 hours",
"7 hours",
"8 hours"
]
} | [
"D"
] | a truck covers a distance of 360 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? | "explanation : speed of the truck = distance / time = 360 / 8 = 45 kmph now , speed of car = ( speed of truck + 18 ) kmph = ( 45 + 18 ) = 63 kmph distance travelled by car = 360 + 81 = 441 km time taken by car = distance / speed = 441 / 63 = 8 hours . answer β d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1 / 2",
"1 / 4",
"3 / 4",
"2 / 3"
]
} | [
"B"
] | if a * b * c = 65 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? | "explanation : a Γ’ Λ β b Γ’ Λ β c / b Γ’ Λ β c Γ’ Λ β d = 65 / 65 = > a / d = 1 d Γ’ Λ β e Γ’ Λ β f / c Γ’ Λ β d Γ’ Λ β e = 250 / 1000 = > f / c = 1 / 4 a / d * f / c = 1 * 1 / 4 = 1 / 4 answer : b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 1090",
"rs . 1160",
"rs . 1120",
"rs . 1202"
]
} | [
"C"
] | a man buys a cycle for rs . 1400 and sells it at a loss of 20 % . what is the selling price of the cycle ? | "solution s . p = 80 % of rs . 1400 = rs . ( 80 / 100 Γ 1400 ) rs . 1120 . answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"10,000",
"11,025",
"14,400",
"12,696"
]
} | [
"A"
] | a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 199 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many... | "let the side for growing cabbages this year be x ft . thus the area is x ^ 2 . let the side for growing cabbages last year be y ft . thus , the area was y ^ 2 . the area would have increased by 199 sq ft as each cabbage takes 1 sq ft space . x ^ 2 - y ^ 2 = 199 ( x + y ) ( x - y ) = 199 199 is a prime number and thus ... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"34",
"40",
"68",
"84"
]
} | [
"D"
] | a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 810 sq . feet , how many feet of fencing will be required ? | "explanation we have : l = 30 ft and lb = 810 sq . ft . so , b = 27 ft . length of fencing = ( l + 2 b ) = ( 30 + 54 ) ft = 84 ft . answer d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 456",
"rs . 458",
"rs . 558",
"rs . 568"
]
} | [
"C"
] | a tank is 25 m long , 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 75 paise per sq . m , is : | explanation : area to be plastered = [ 2 ( l + b ) x h ] + ( l x b ) = { [ 2 ( 25 + 12 ) x 6 ] + ( 25 x 12 ) } m 2 = ( 444 + 300 ) m 2 = 744 m 2 . cost of plastering = rs . 744 x 75 / 100 = rs . 558 answer : c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"277",
"36",
"64",
"32"
]
} | [
"D"
] | ? % of 360 = 115.2 | ? % of 360 = 115.2 or , ? = 115.2 Γ 100 / 360 = 32 answer d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"16",
"63",
"73",
"83"
]
} | [
"B"
] | the least number which when divided by 2 , 3 , 5 and 6 leaves a remainder 3 , but when divided by 9 leaves no remainder , is | "explanation : l . c . m of 2 , 3 , 5 , 6 = 30 therefore required number is of the form 30 k + 3 . least value of k for which ( 30 k + 3 ) is divisible by 9 is k = 2 therefore required number = ( 30 x 2 + 3 ) = 63 . answer : b" | MathQA |
{
"label": [
"B",
"C",
"D",
"E"
],
"text": [
"1 hour",
"1 hour 25 min",
"1 hour 30 min",
"1 hour 10 min"
]
} | [
"C"
] | a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 12 minutes . how long will it take to go 5 km in stationary water ? | "speed ( upstream ) = 2 / 1 = 2 kmhr speed ( downstream ) = 1 / ( 12 / 60 ) = 5 kmhr speed in still water = 1 / 2 ( 2 + 5 ) = 3.5 kmhr time taken in stationary = 5 / 3.5 = 1 hrs 25 min answer : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0.0001",
"0.001",
"0.01",
"0.14"
]
} | [
"D"
] | 0.2 x 0.7 = ? | "explanation : 2 x 7 = 14 . sum of decimal places = 2 0.2 x 0.7 = 0.14 answer - d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"10 %",
"9 %",
"33.33 %",
"12 %"
]
} | [
"C"
] | a shopkeeper forced to sell at cost price , uses a 750 grams weight for a kilogram . what is his gain percent ? | shopkeeper sells 750 g instead of 1000 g . so , his gain = 1000 - 750 = 250 g . thus , % gain = ( 250 * 100 ) / 750 = 33.33 % . answer : option c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"12 hours",
"24 hours",
"36 hours",
"48 hours"
]
} | [
"D"
] | speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is : | "sol . speed upstream = 7.5 kmph ; speed downstream = 10.5 kmph . β΄ total time taken = [ 210 / 7.5 + 210 / 10.5 ] hours = 48 hours . answer d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"56678",
"16789",
"17576",
"35142"
]
} | [
"C"
] | consider the word rotor . whichever way you read it , from left to right or from right to left , you get the same word . such a word is known as palindrome . find the maximum possible number of 5 - letter palindromes ? | "explanation : the first letter from the right can be chosen in 26 ways because there are 26 alphabets . having chosen this , the second letter can be chosen in 26 ways . = > the first two letters can be chosen in 26 * 26 = 676 wayshaving chosen the first two letters , the third letter can be chosen in 26 ways . = > al... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"36",
"232",
"27",
"48"
]
} | [
"C"
] | how many cubes of 5 cm edge can be cut out of a cube of 15 cm edge | "explanation : number of cubes = ( 15 x 15 x 15 ) / ( 5 x 5 x 5 ) = 27 answer : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"140 kg",
"60 kg",
"72 kg",
"96 kg"
]
} | [
"A"
] | a boat having a length 7 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : | "explanation : volume of water displaced = ( 7 x 2 x 0.01 ) m 3 = 0.14 m 3 . β΄ mass of man = volume of water displaced x density of water = ( 0.14 x 1000 ) kg = 140 kg . answer : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 5870",
"rs . 5991",
"rs . 6020",
"rs . 6850"
]
} | [
"A"
] | a grocer has a sale of rs . 5420 , rs . 5660 , rs . 6200 , rs . 6350 and rs . 6500 for 5 consecutive months . find the sale he should have in the sixth month , so that he gets an average sale of rs . 6000 ? | "explanation : total sale for 5 months = rs . ( 5420 + 5660 + 6200 + 6350 + 6500 ) = rs . 30,130 therefore , required sale = rs . [ ( 6000 * 6 ) β 30,130 ] = rs . ( 36000 β 30,130 ) = rs . 5870 answer a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"160",
"180",
"200",
"280"
]
} | [
"D"
] | a number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ? | "answer let the number be n . then , ( n / 5 ) + 7 = ( n / 4 ) - 7 Γ’ β‘ β ( n / 4 ) - ( n / 5 ) = 14 Γ’ β‘ β ( 5 n - 4 n ) / 20 = 14 Γ’ Λ Β΄ n = 280 option : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"12.6 %",
"6.3 %",
"27 %",
"25.2 %"
]
} | [
"A"
] | 3 - fourth of two - third of 3 - seventh of a number is 27 . what is 10 % of that number ? | explanation : solution : assume the number be x . then , 3 / 4 of 2 / 3 of 3 / 7 of x = 27 . x = 27 * 7 / 3 * 3 / 2 * 4 / 3 . x = 126 . ' . 10 % of 126 = 10 / 100 * 126 = 12.6 answer : a | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"2.29",
"2.75",
"4.25",
"3.75"
]
} | [
"D"
] | ( 17 ) 4.25 x ( 17 ) ? = 178 | "solution let ( 17 ) 4.25 * ( 17 ) x = 178 . then , ( 17 ) 4.25 + x = ( 17 ) 8 . β΄ 4.25 + x = 8 β x = ( 8 - 4.25 ) β x = 3.75 answer d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"3327",
"3237",
"3337",
"3377"
]
} | [
"D"
] | 9823 + x = 13200 , then x is ? | "answer x = 13200 - 9823 = 3377 option : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"11",
"17",
"13",
"23"
]
} | [
"C"
] | when 242 is divided by a certain divisor the remainder obtained is 8 . when 698 is divided by the same divisor the remainder obtained is 9 . when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 4 . what is the value of the divisor ? | "explanatory answer when 242 is divided by a certain divisor the remainder obtained is 8 . let the divisor be d . when 242 is divided by d , let the quotient be ' x ' . the remainder is 8 . therefore , 242 = xd + 8 when 698 is divided by the same divisor the remainder obtained is 9 . let y be the quotient when 698 is d... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"35.67 %",
"64.75 %",
"68.57 %",
"70.20 %"
]
} | [
"D"
] | in an examination , there were 2000 candidates , out of which 900 candidates were girls and rest were boys . if 28 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? | girls = 900 , boys = 1100 passed = ( 28 % of 1100 ) + ( 32 % of 900 ) = 308 + 288 = 596 failed = 2000 - 596 = 1404 failed % = [ ( 1404 / 2000 ) x 100 ] % = 70.2 % . answer : d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"$ 21",
"$ 27",
"$ 31",
"$ 61"
]
} | [
"D"
] | at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 130 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ? | "let ' s suppose that the price of a burger is bb , of a shake - ss and that of a cola is cc . we can then construct these equations : 3 b + 7 s + c = 130 4 b + 10 s + c = 164.5 subtracting the first equation from the second gives us b + 3 s = 34.5 now if we subtract the new equation two times from first or 3 times fro... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"4000",
"6000",
"18000",
"10000"
]
} | [
"C"
] | a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 2700 , then his salary per month in rupees is : | "total expenditure = 40 + 25 + 15 + 5 = 85 % saving = ( 100 - 85 ) = 15 % 15 / 100 Γ salary = 2700 , salary = 18000 rs . answer : c ." | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1 / 2",
"1 / 4",
"3 / 4",
"1 / 3"
]
} | [
"D"
] | if a * b * c = 130 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 150 the ( a * f ) / ( c * d ) = ? | "explanation : a Γ’ Λ β b Γ’ Λ β c / b Γ’ Λ β c Γ’ Λ β d = 130 / 65 = > a / d = 2 d Γ’ Λ β e Γ’ Λ β f / c Γ’ Λ β d Γ’ Λ β e = 150 / 1000 = > f / c = 1 / 4 a / d * f / c = 2 * 15 / 10 = 1 / 3 answer : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 3840",
"rs . 5270",
"rs . 6275",
"rs . 6720"
]
} | [
"A"
] | the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 4800 for a computer table , then what was the cost price of the computer table ? | "cp = sp * ( 100 / ( 100 + profit % ) ) = 4800 ( 100 / 125 ) = rs . 3840 . answer : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs 741",
"rs 5991",
"rs 6001",
"rs 6991"
]
} | [
"A"
] | a grocer has a sale of rs . 435 , rs . 927 , rs . 855 , rs . 230 and rs . 562 for 5 consecutive days . how much sale must he have in the sixth day so that he gets an average sale of rs . 625 ? | "explanation : total sale for 5 days = rs . ( 435 + 927 + 855 + 230 + 562 ) = rs . 3009 . required sale = rs . [ ( 625 x 6 ) - 3009 ] = rs . ( 3750 - 3009 ) = rs . 741 . answer : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"484",
"460",
"550",
"664"
]
} | [
"A"
] | a and b together have rs . 1210 . if of a ' s amount is equal to of b ' s amount , how much amount does b have ? | 4 / 15 a = 2 / 5 b a = ( 2 / 5 x 15 / 4 ) b a = 3 / 2 b a / b = 3 / 2 a : b = 3 : 2 . therefore , b ' s share = rs . ( 1210 x 2 / 5 ) = rs . 484 . answer is a . | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 150",
"rs . 17",
"rs . 1.70",
"rs . 4.25"
]
} | [
"A"
] | if 0.5 % of a = 75 paise , then the value of a is ? | "answer β΅ 0.5 / 100 of a = 75 / 100 β΄ a = rs . ( 75 / 0.5 ) = rs . 150 correct option : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"470 m",
"240 m",
"260 m",
"270 m"
]
} | [
"A"
] | a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 36 seconds . what is the length of the goods train ? | "explanation : speed = [ 72 x ( 5 / 18 ) ] m / sec = 20 m / sec . time = 36 sec . let the length of the train be x metres . then , [ ( x + 250 ) / 36 ] = 20 = > x + 250 = 720 = > x = 470 . answer : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs 8.81",
"rs 9.35",
"rs 10.35",
"rs 12.35"
]
} | [
"D"
] | a fruit seller sells mangoes at the rate of rs . 10 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 % | "explanation : 85 : 10 = 105 : x x = ( 10 Γ 105 / 85 ) = rs 12.35 option d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"9,6",
"6,3",
"9,3",
"6,6"
]
} | [
"C"
] | a man can row downstream at the rate of 12 km / hr and upstream at 6 km / hr . find man ' s rate in still water and the rate of current ? | "explanation : rate of still water = 1 / 2 ( 12 + 6 ) = 9 km / hr rate of current = 1 / 2 ( 12 - 6 ) = 3 km / hr answer : option c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1 / 20",
"1 / 50",
"1 / 75",
"1 / 25"
]
} | [
"D"
] | what will be the fraction of 4 % | "explanation : 4 * 1 / 100 = 1 / 25 . friends i know it is quite simple , but trust me while solving percentage questions in hurry we use to do these types of mistake only . so i recommend you to have a bit practise of this option d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 22325.58",
"rs . 32325.58",
"rs . 52325.58",
"rs . 62325.58"
]
} | [
"C"
] | a man sells a car to his friend at 14 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was : | "explanation : s . p = rs . 54,000 . gain earned = 20 % c . p = rs . [ 100 / 120 Γ£ β 54000 ] = rs . 45000 this is the price the first person sold to the second at at loss of 14 % . now s . p = rs . 45000 and loss = 14 % c . p . rs . [ 100 / 86 Γ£ β 45000 ] = rs . 52325.58 . correct option : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0.27",
"0.027",
"27",
"0.0027"
]
} | [
"C"
] | if the digits 27 in the decimal 0.00027 repeat indefinitely , what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00027 ) ? | "99 * 0.27 = 26.73 approx . 27 answer : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"150",
"200",
"250",
"163"
]
} | [
"D"
] | in a school with 652 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is | "sol . let the number of grils be x . then , number of boys = ( 652 - x ) . then , ( 11 3 / 4 Γ 652 ) β 11 x + 12 ( 652 - x ) β x = 7824 - 7661 β 163 . answer d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"28213",
"84307",
"50694",
"54094"
]
} | [
"D"
] | ( 35423 + 7164 + 41720 ) - ( 317 x 89 ) = ? | "= ( 84307 ) - 317 x 89 = 84307 - ( 317 x ( 90 - 1 ) ) = 84307 - ( 317 x 90 - 317 ) = 84307 - 28213 = 54094 answer is d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"30",
"25",
"48",
"50"
]
} | [
"A"
] | the average of 20 results is 65 and the average of other 65 results is 20 . what is the average of all the results ? | "answer sum of 85 result = sum of 20 result + sum of 65 result . = 20 x 65 + 65 x 20 = 2600 correct option : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"369.63",
"372.33",
"702.33",
"702"
]
} | [
"A"
] | . 3 + 33 + 333 + 3.33 = ? | . 3 33 333 3.33 - - - - - - - - - - 369.63 - - - - - - - - - - answer is a | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"10 %",
"7.8 %",
"11 %",
"12.5 %"
]
} | [
"B"
] | a trader marked the selling price of an article at 40 % above the cost price . at the time of selling , he allows certain discount and suffers a loss of 1 % . he allowed a discount of : | sol . let c . p . = rs . 100 . then , marked price = rs . 140 , s . p . = rs . 99 . β΄ discount % = [ 11 / 140 * 100 ] % = 7.8 % answer b | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"15",
"18",
"10",
"16"
]
} | [
"A"
] | without stoppages , a train travels certain distance with an average speed of 80 km / h , and with stoppages , it covers the same distance with an average speed of 60 km / h . how many minutes per hour the train stops ? | "due to stoppages , it covers 20 km less . time taken to cover 20 km = 20 β 80 h = 1 β 4 h = 1 β 4 Γ 60 min = 15 min answer a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"22 kg",
"21.6 kg",
"22.4 kg",
"13 kg"
]
} | [
"D"
] | the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.5 kg . the weight of the new student is | "exp . the total weight of 29 students = 29 * 28 the total weight of 30 students = 30 * 27.5 weight of the new student = ( 30 * 27.5 β 29 * 28 ) = 825 - 812 = 13 answer : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"$ 37.5",
"$ 64",
"$ 75",
"$ 96"
]
} | [
"A"
] | if greg buys 5 shirts , 4 trousers and 2 ties , the total cost is $ 80 . if greg buys 7 shirts , 4 trousers and 2 ties , the total cost is $ 70 . how much will it cost him to buy 2 trousers , 3 shirts and 1 ties ? | "solution : 5 x + 4 y + 2 z = 80 7 x + 4 y + 2 z = 70 adding both the equations = 12 x + 8 y + 4 z = 150 3 x + 2 y + 1 z = 37.5 ans a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"375', '",
"2570', '",
"2800', '",
"3315', '"
]
} | [
"D"
] | the length and breadth of a rectangular floor are 16.25 metre and 12.75 metre respectively . find how many minimum number of square tiles would be required to cover it completely ? | explanation : since we require minimum number of square tiles , the size of the tile is given as the h . c . f . of two sides of the room . the h . c . f . of 1625 cm & 1275 cm . is 25 cm . hence , we get , required number = ( 1625 * 1275 ) / ( 25 * 25 ) = 3315 answer : d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"350 m",
"200 m",
"400 m",
"800 m"
]
} | [
"D"
] | a thief is spotted by a policeman from a distance of 200 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ? | "relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 200 m / 1000 ) x 1 / 2 hr = 1 / 10 hr . in 1 / 10 hrs , the thief covers a distance of 8 x 1 / 10 km = 4 / 5 km = 800 m answer is d ." | MathQA |
{
"label": [
"A",
"B",
"D",
"E"
],
"text": [
"32",
"37",
"43",
"50"
]
} | [
"E"
] | set x consists of 10 integers and has median of 30 and a range of 20 . what is the value of the greatest possible integer that can be present in the set ? | note that both median and range do not restrict too many numbers in the set . range is only concerned with the smallest and greatest . median only cares about the middle . quick check of each option starting from the largest : ( e ) 50 range of 20 means the smallest integer will be 30 . so 20 can not lie in between and... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 1386",
"rs . 1764",
"rs . 1275",
"rs . 2268"
]
} | [
"C"
] | the true discount on a bill due 9 months hence at 16 % per annum is rs . 153 . the amount of the bill is | "solution 32.5 let p . w . be rs . x . then , s . i . on rs . x at 16 % for 9 months = rs . 153 . β΄ x 16 x 9 / 12 x 1 / 100 } = 153 or x = 1275 . β΄ p . w . = rs . 1275 . answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 2250",
"rs . 3000",
"rs . 6750",
"rs . 5625"
]
} | [
"B"
] | a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 11000 . what is the share of c ? | "explanation : let the investment of c be rs . x . the inverstment of b = rs . ( 2 x / 3 ) the inverstment of a = rs . ( 3 Γ ( 2 / 3 ) x ) = rs . ( 2 x ) ratio of capitals of a , b and c = 2 x : 2 x / 3 : x = 6 : 2 : 3 c ' s share = rs . [ ( 3 / 11 ) Γ 11000 ] = rs . 3000 answer : option b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"49",
"249",
"349",
"449"
]
} | [
"D"
] | worker a takes 8 hours to do a job . worker b takes 10 hours to do a job . how long should it take both a and b , working together to do same job | explanation : in this type of questions , first we need to calculate 1 hours work , then their collective work as a ' s 1 hour work is 1 / 8 b ' s 1 hour work is 1 / 10 ( a + b ) ' s 1 hour work = 1 / 8 + 1 / 10 = 9 / 40 so both will finish the work in 40 / 9 hours = 449 answer : d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"19 %",
"10 %",
"21 %",
"16 %"
]
} | [
"D"
] | weights of two friends ram and shyam are in the ratio 1 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ? | solution : given ratio of ram and shayam ' s weight = 1 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 1 / 5 or , x = 16 % . answer : option d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"$ 10800",
"$ 18000",
"$ 180000",
"$ 1800"
]
} | [
"C"
] | a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 18000 left with him . find salary . . | "[ 1 / ( x 1 / y 1 + x 2 / y 2 + x 3 / y 3 ) ] * total amount = balance amount [ 1 - ( 1 / 5 + 1 / 10 + 3 / 5 ) } * total salary = $ 18000 , = [ 1 - 9 / 10 ] * total salary = $ 18000 , total salary = $ 18000 * 10 = $ 180000 , correct answer ( c )" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 15000",
"rs . 15550",
"rs . 15600",
"rs . 20625"
]
} | [
"D"
] | the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1000 per sq . metre . | solution area of the floor = ( 5.5 Γ 3.75 ) m 2 = 20.625 m 2 β΄ cost of paving = rs . ( 1000 Γ 20.625 ) = 20625 . answer d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1.12",
"1.65",
"1.2",
"1.3"
]
} | [
"B"
] | if 0.75 : x : : 5 : 11 , then x is equal to : | "explanation : ( x * 5 ) = ( 0.75 * 11 ) x = 8.25 / 5 = 1.65 answer : b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 3225",
"rs . 2580",
"rs . 8000",
"rs . 1290"
]
} | [
"A"
] | simple interest on a certain sum of money for 5 years at 8 % per annum is half the compound interest on rs . 8000 for 2 years at 15 % per annum . the sum placed on simple interest is | solution c . i . = rs [ 8000 x ( 1 + 15 / 100 ) Γ’ Β² - 8000 ] rs . ( 8000 x 115 / 100 x 115 / 100 - 8000 ) = rs . 2580 . sum = rs . [ 1290 x 100 / 5 x 8 ] = rs . 3225 . answer a | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"2 km",
"2.6 km",
"3.6 km",
"4 km"
]
} | [
"C"
] | the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr the distance travelled downstream in 12 minutes is : | sol . speed downstream = ( 15 + 3 ) kmph = 18 kmph . distance travelled = [ 18 * 12 / 60 ] km = 3.6 km . answer c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"724",
"804",
"69",
"844"
]
} | [
"C"
] | what is the least number of square tiles required to pave the floor of a room 11 m 50 cm long and 1 m 50 cm broad ? | "solution length of largest tile = h . c . f . of 1150 cm & 150 cm = 50 cm . area of each tile = ( 50 x 50 ) cm 2 β΄ required number of tiles = [ 1150 x 150 / 50 x 50 ] = 69 . answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"30', '",
"60', '",
"120', '",
"150', '"
]
} | [
"C"
] | a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical blocks each of edge 20 cm that can be packed inside the box is | sol . number of blocks = 160 x 100 x 60 20 x 20 x 20 ] = 120 . answer c | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1187.5",
"1234",
"1289",
"1425"
]
} | [
"D"
] | jaclyn buys $ 60 000 worth of debentures in a company . she earns 9.5 % p . a . simple interest , paid to her quarterly ( that is , every 3 months ) . if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter | "explanation : i = ( p x r x t ) / 100 = 60000 * 9.5 / 100 * ( 18 / 12 ) ^ 1 / 6 = 1425 answer : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"rs . 3168",
"rs . 2520",
"rs . 2880",
"rs . 3360"
]
} | [
"A"
] | a , b and c started a business with a total investment of rs . 90000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find a ' s share . | "explanation : let c ' s investment = rs . x b ' s investment = rs . ( x - 3000 ) a ' s investment = rs . ( x - 3000 + 6000 ) = rs . ( x + 3000 ) now , ( a + b + c ) ' s investment = rs . 90000 = > x + ( x - 3000 ) + ( x + 3000 ) = 90000 = > 3 x = 90000 = > x = 30000 hence , a ' s investment = rs . 33000 b ' s investme... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"91",
"87",
"85",
"81"
]
} | [
"D"
] | a contract is to be completed in 46 days sad 117 men were said to work 8 hours a day . after 33 days , ( 4 / 7 ) of the work is completed . how many additional men may be employed so that the work may be completed in time , each man now working 9 hours a day ? | remaining work = ( 1 - ( 4 / 7 ) = ( 3 / 7 ) remaining period = ( 46 - 33 ) days = 13 days let the total men working at it be x . less work , less men ( direct proportion ) less days , more men ( indirect proportion ) more hours per day , less men ( indirect proportion ) work ( 4 / 7 ) : ( 3 / 7 ) days 13 : 33 } : : 11... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0",
"3",
"2",
"5"
]
} | [
"A"
] | what is the remainder when 9 ^ 1 + 9 ^ 2 + 9 ^ 3 + . . . + 9 ^ 9 is divided by 3 ? | "notice that in the brackets we have the sum of 8 odd multiples of 3 , which yields remainder of 0 upon division by 3 . answer : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"79698",
"80578",
"80698",
"81268"
]
} | [
"B"
] | 217 x 217 + 183 x 183 = ? | "= ( 217 ) ^ 2 + ( 183 ) ^ 2 = ( 200 + 17 ) ^ 2 + ( 200 - 17 ) ^ 2 = 2 [ ( 200 ) ^ 2 + ( 17 ) ^ 2 ] = 2 [ 40000 + 289 ] = 2 x 40289 = 80578 answer is b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1.2 kg",
"1.5 kg",
"1.7 kg",
"1.6 kg"
]
} | [
"D"
] | when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 20 % water ? | "explanation : flower - nectar contains 50 % of non - water part . in honey this non - water part constitutes 80 % ( 100 - 20 ) . therefore 0.5 x amount of flower - nectar = 0.80 x amount of honey = 0.80 x 1 kg therefore amount of flower - nectar needed = ( 0.80 / 0.51 ) kg = 1.6 kgs answer : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"2 / 3",
"1 / 3",
"1 / 5",
"1 / 6"
]
} | [
"A"
] | in a throw of dice what is the probability of ge Γ¦ Β« ing number greater than 2 | "explanation : number greater than 2 is 3 , 4 , 5 & 6 , so only 4 number total cases of dice = [ 1,2 , 3,4 , 5,6 ] so probability = 4 / 6 = 2 / 3 answer : a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"22.25",
"31.25",
"35",
"40.5"
]
} | [
"D"
] | the average of first 80 non - zero positive numbers is : | "explanation : sum of first n natural numbers = n ( n + 1 ) / 2 so , average of first n natural numbers = n ( n + 1 ) / 2 n = ( n + 1 ) / 2 required average = ( 80 + 1 ) / 2 = 81 / 2 = 40.5 . answer : d" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"4",
"5",
"14",
"12"
]
} | [
"C"
] | suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 35 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ? | "the part of job that suresh completes in 9 hours = 9 Γ’ Β β 15 = 3 Γ’ Β β 5 remaining job = 1 - 3 Γ’ Β β 5 = 2 Γ’ Β β 5 remaining job can be done by ashutosh in 2 Γ’ Β β 5 Γ£ β 35 = 14 hours answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"240",
"270",
"295",
"360"
]
} | [
"B"
] | the difference between two numbers is 1365 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is : | "solution let the numbers be x and ( x + 1365 ) . then , x + 1365 = 6 x + 15 β 5 x = 1350 β x = 270 . answer b" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"22000",
"20000",
"11875",
"12340"
]
} | [
"C"
] | sheela deposits rs . 3800 in bank savings account . if this is 32 % of her monthly income . what is her monthly income in ? | "explanation : 32 % of income = rs . 3800 100 % of income = 3800 x 100 / 32 = rs . 11875 answer : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"$ 60",
"$ 64",
"$ 75",
"$ 110"
]
} | [
"D"
] | if greg buys 6 shirts , 4 trousers and 2 ties , the total cost is $ 80 . if greg buys 4 shirts , 2 trousers and 2 ties , the total cost is $ 140 . how much will it cost him to buy 3 trousers , 5 shirts and 2 ties ? | solution : 6 x + 4 y + 2 z = 80 4 x + 2 y + 2 z = 140 adding both the equations = 10 x + 6 y + 4 z = 220 5 x + 3 y + 2 z = 110 ans d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"0",
"1",
"2",
"3"
]
} | [
"A"
] | if x = 3 y , where y is a prime number greater than 2 , how many different positive even divisors does x have , including x ? | for x to have even divisors , xx has to be an even number . we know that x = 3 y , where yy is a prime number greater than 2 . as 2 is the only even prime number , y has to be an odd prime number . this means that x must also be an odd number , since odd x odd = odd . as x is odd , it can not have any even divisors . t... | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"100",
"120",
"80",
"90"
]
} | [
"B"
] | ratio of girl and boys in class is 5 : 6 . if 20 girl leave the class and ratio become 2 : 3 . calculate the no . of boys ? | girl 5 x and boys 6 x 5 x - 20 / 6 x = 2 / 3,15 x - 60 = 12 x , 3 x = 60 , x = 20 boys = 6 x = 120 answer b | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"120",
"200",
"180",
"150"
]
} | [
"C"
] | if 30 % of a number exceeds 20 % of it by 18 , then find the number ? | "let the number be x . 30 % of x = 30 / 100 * x = 3 x / 10 20 % of x = 20 / 100 * x = x / 5 = 2 x / 10 . given that 3 x / 10 - 2 x / 10 = 18 = > x = 180 . required number is 180 . answer : c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"2 : 3",
"3 : 4",
"3 : 20",
"20 : 3"
]
} | [
"C"
] | if 0.4 of a number is equal to 0.06 of another number , the ratio of the numbers i | "sol . 0.4 a = 0.06 b β a / b = 0.06 / 0.40 = 6 / 40 = 3 / 20 . β΄ a : b = 3 : 20 . answer c" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"20000",
"14000",
"23000",
"120000"
]
} | [
"D"
] | a wheel rotates 10 times every minute and moves 20 cm during each rotation . how many ems does the wheel move in 1 hour ? | explanation : number of wheel moves in 1 hour = 10 * 60 = 600 distance moved = 600 * 200 = 12000 answer : d | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"960",
"1060",
"1,200",
"920"
]
} | [
"A"
] | the profit earned by selling an article for 832 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ? | "let the profit or loss be x and 832 β x = 448 + x or , x = 384 β 2 = 192 \ cost price of the article = 832 β x = 448 + x = 640 \ sp of the article = 640 Γ 150 β 100 = 960 answer a" | MathQA |
{
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"150 %",
"200 %",
"300 %",
"350 %"
]
} | [
"C"
] | if the cost price is 25 % of selling price . then what is the profit percent . | "explanation : let the s . p = 100 then c . p . = 25 profit = 75 profit % = ( 75 / 25 ) * 100 = 300 % . answer : c" | MathQA |
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