choices dict | answerKey listlengths 1 1 | question stringlengths 5 967 | rationale stringlengths 1 2.74k | dataset stringclasses 1
value |
|---|---|---|---|---|
{
"text": [
"1 : 1', '",
"2 : 1', '",
"3 : 1', '",
"5 : 3', '",
"8 : 3']"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ? | let ' s join the midpoints as shown in the figure then we ' ll get four small squares . . . aodx be 1 and similarly all squares . . and we can split the unit 1 into half and half as per the mid points . . . then shaded will be 1 + 1 / 2 + 1 / 2 + 1 / 2 = 5 / 2 and unshaded is 1 / 2 + 1 / 2 + 1 / 2 = 3 / 2 . . shaded : ... | MathQA |
{
"text": [
"26",
"29",
"19",
"30",
"40"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 7 : 00 , how many seconds elaps... | "at 6 ' o clock , there would be 6 strikes . first strike , then a short interval , the second strike , then a short interval and so on till the 6 th strike . so there would be in all 5 intervals between 6 strikes . similarly , between 7 strikes , there would be 6 intervals . according to the question , the time spent ... | MathQA |
{
"text": [
"28 %",
"66.7 %",
"55 %",
"28 %",
"55 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg , what is his percent ? | "600 - - - 400 100 - - - ? = > 66.7 % answer : b" | MathQA |
{
"text": [
"0",
"1",
"2",
"3",
"5"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 23 ? | "there are several algebraic ways to solve this question including the one under the spoiler . but the easiest way is as follows : since we can not have two correct answersjust pick a prime greater than 5 , square it and see what would be the remainder upon division of it by 23 . n = 5 - - > n ^ 2 = 49 - - > remainder ... | MathQA |
{
"text": [
"– 7",
"7",
"10",
"12",
"18"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 2 | + 5 is equal to : | "x ^ 2 - 8 x + 16 = | x - 2 | rhs can be - ve or + ve x ^ 2 - 9 x + 18 = 0 x ^ 2 - 7 x + 14 = 0 x = 7,6 , 3,2 we test all 3 values in original equation , all ok . thus , sum = 7 + 6 + 3 + 2 = 18 ans ( e )" | MathQA |
{
"text": [
"35 %",
"40 %",
"45 %",
"50 %",
"55 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | 80 is what percent of 160 ? | 80 / 160 × 100 = 50 % answer : d | MathQA |
{
"text": [
"2007",
"2008",
"2009",
"2010",
"2011"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 40 cents more than the commodity y ? | "the cost of commodity x increases by 10 cents per year relative to commodity y . the price of x must gain 20 + 40 = 60 cents on commodity y , which will take 6 years . the answer is a ." | MathQA |
{
"text": [
"150 m",
"350 m",
"420 m",
"600 m",
"700 m"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds . what is the length of the platform ? | explanation : length of the train = distance covered in crossing the post = speed × time = speed × 18 speed of the train = 300 / 18 m / s = 50 / 3 m / s time taken to cross the platform = 39 s ( 300 + x ) / ( 50 / 3 ) = 39 s where x is the length of the platform 300 + x = ( 39 × 50 ) / 3 = 650 meter x = 650 - 300 = 350... | MathQA |
{
"text": [
"0",
"27",
"30",
"21",
"18"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | what is the remainder when 1034 * 1047 * 1050 * 1053 is divided by 33 ? | "take the remainder from each of 1034 / 33 , 1047 / 33 and so on . . 1034 / 33 gives remainder = 11 1047 / 33 gives remainder = 24 1050 / 33 gives remainder = 27 1053 / 33 gives remainder = 30 the net remainder is the product of above individual remainders . i . e = 11 * 24 * 27 * 30 break them into pairs 11 * 24 / 33 ... | MathQA |
{
"text": [
"10",
"13",
"14",
"15",
"26"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | 39 persons can repair a road in 24 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ? | "let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 39 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 39 x 5 x 24 x = ( 39 x 5 x 24 ) / ( 30 x 6 ) x = 26 . answer : e" | MathQA |
{
"text": [
"1 / 12",
"6 / 15",
"1 / 6",
"1 / 3",
"1 / 5"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | two boats are heading towards each other at constant speeds of 4 miles / hr and 20 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ? | "the question asks : how far apart will they be 1 minute = 1 / 60 hours before they collide ? since the combined rate of the boats is 4 + 20 = 25 mph then 1 / 60 hours before they collide they ' ll be rate * time = distance - - > 24 * 1 / 60 = 6 / 15 miles apart . answer : b ." | MathQA |
{
"text": [
"25.5",
"2.5",
"25",
". 25"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"C"
] | 1 / 0.04 is equal to | "explanation : 1 / 0.04 = ( 1 * 100 ) / 4 = 100 / 4 = 25 option c" | MathQA |
{
"text": [
"$ 198",
"$ 216",
"$ 220",
"$ 230",
"$ 168"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 30 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ? | "wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 30 emlpoyee paid = . 7 * 240 = 168 $ answer e" | MathQA |
{
"text": [
"1 / 4",
"3 / 8",
"1 / 2",
"29 / 46",
"3 / 4"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if an integer n is to be chosen at random from the integers 1 to 92 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? | "n ( n + 1 ) ( n + 2 ) will be divisible by 8 when n is a multiple of 2 or when ( n + 1 ) is a multiple of 8 . thus when n is even , this whole expression will be divisible by 8 . from 1 to 96 , there are 46 even integers . now when ( n + 1 ) is multiple by 8 , we have 12 such values for ( n + 1 ) probability that n ( ... | MathQA |
{
"text": [
"2",
"3",
"4",
"5",
"6"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | on dividing a number by 56 , we get 27 as remainder . on dividing the same number by 8 , what will be the remainder ? | "number = 56 x + 27 ( ∵ since the number gives 27 as remainder on dividing by 56 ) = ( 7 × 8 × x ) + ( 3 × 8 ) + 3 hence , if the number is divided by 8 , we will get 3 as remainder . answer : b" | MathQA |
{
"text": [
"263",
"500",
"367",
"642.9",
"339"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | what sum of money will produce rs . 90 as simple interest in 4 years at 3 1 / 2 percent ? | "90 = ( p * 4 * 7 / 2 ) / 100 p = 642.9 answer : d" | MathQA |
{
"text": [
"rs . 4800",
"rs . 2400",
"rs . 3600",
"rs . 5600"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"A"
] | a and b enter into a partnership . a contributed rs . 5000 for 8 months and b rs . 6000 for 5 months . find a ' s share in a total profit of rs . 8400 . | explanation : ratio of capitals of a and b = ratio of their investments = 5000 × 8 : 6000 × 5 = 40000 : 30000 = 4 : 3 . : a ' s share = rs . [ ( 4 / 7 ) × 8400 ] = rs . 4800 answer : option a | MathQA |
{
"text": [
"3 : 4",
"4 : 3",
"9 : 7",
"7 : 9",
"8 : 1"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5 ? | "explanation : let cost price ( cp ) of 1 litre spirit be rs . 1 quantity of spirit in 1 litre mixture from vessel a = 5 / 7 cost price ( cp ) of 1 litre mixture from vessel a = rs . = 5 / 7 quantity of spirit in 1 litre mixture from vessel b = 7 / 13 cost price ( cp ) of 1 litre mixture from vessel b = rs . = 7 / 13 q... | MathQA |
{
"text": [
"420",
"840",
"800",
"1680",
"2100"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | company a imported 10,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ? | "answer a . we are told that 10 % of all imported widgets are made of brass and of those , 20 % are green and 40 % are red . since we know that there are only three colors , the remaining 40 % must be blue . 40 % blue of 20 % brass widgets leads to 8 % blue brass widgets out of the total 10,550 widgets . 10,000 / 100 *... | MathQA |
{
"text": [
"3",
"5",
"6",
"8",
"10"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 6 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters pe... | "let the speed be ' s ' and let the distance between rose and poppy be ' x ' the problem boils down to : rose to poppy : s + 3 = x / 6 - - - - - - - 1 daisy to rose : s = ( x + 6 ) / 10 - - - - - - 2 so from 1 we can re write x as x = 6 s + 18 substitute the value of x in 2 gives us s = 3 m / s a" | MathQA |
{
"text": [
"2288",
"2779",
"3300",
"3900",
"2781"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | "area = ( l + b â € “ d ) d ( 80 + 40 â € “ 10 ) 10 = > 1100 m 2 1100 * 3 = rs . 3300 answer : c" | MathQA |
{
"text": [
"75",
"80",
"90",
"95",
"100"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | there is enough provisions for 1200 girls in a hostel for 50 days . if there were 600 girls less , how long will the provision last ? | "we have , m 1 d 1 = m 2 d 2 1200 * 50 = 600 * d 2 d 2 = 1200 * 50 / 600 = 100 days . answer : e" | MathQA |
{
"text": [
"1 / 4",
"2 / 5",
"1 / 2",
"3 / 5",
"2 / 3"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | a 50 kg metal bar made of alloy of tin and silver lost 5 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ? | "you can simply use this formula to avoid confusion : w 1 / w 2 = ( a 2 - aavg ) / ( avg - a 1 ) here is how you will find the values of a 1 an a 2 . we have an overall loss ( average loss ) . the average loss is 5 kg when 50 kg alloy is immersed . this is a loss of ( 5 / 50 ) * 100 = 10 % . this is aavg the loss of ti... | MathQA |
{
"text": [
"",
"250",
"",
"249",
"",
"248",
"",
"247",
"",
"246"
],
"label": [
"A",
"A",
"B",
"B",
"C",
"C",
"D",
"D",
"E",
"E"
]
} | [
"A"
] | a , b and c have rs . 300 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? | "a + b + c = 300 a + c = 200 b + c = 350 - - - - - - - - - - - - - - a + b + 2 c = 550 a + b + c = 300 - - - - - - - - - - - - - - - - c = 250 answer : a" | MathQA |
{
"text": [
"43",
"36",
"28",
"129",
"44"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | there are 50 students in a class . if 12 % are absent on a particular day , find the number of students present in the class . | "number of students absent on a particular day = 12 % of 50 i . e . , 12 / 100 × 50 = 6 therefore , the number of students present = 50 - 6 = 44 students . answer : e" | MathQA |
{
"text": [
"6",
"12",
"14",
"24",
"28"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 50 percent butterfat to obtain milk that is 20 percent butterfat ? | "equate the fat : 0.1 x + 0.5 * 8 = 0.2 ( x + 8 ) - - > x = 24 . answer : d ." | MathQA |
{
"text": [
"$ 1",
"$ 2",
"$ 4",
"$ 8",
"$ 16"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | can c and can в are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can c with the same brand of gasoline ? | let x be the radius of b and 2 h be the height of b . therefore , radius of c = 2 x and height = h vol of b = 3.14 * x ^ 2 * 2 h vol of a = 3.14 * 4 x ^ 2 * h cost to fill half of b = $ 4 - - > cost to fill full b = $ 8 - - > 3.14 * x ^ 2 * 2 h = 8 - - > 3.14 * x ^ 2 * h = 4 - - > 4 * ( 3.14 * x ^ 2 * h ) = $ 16 ans e | MathQA |
{
"text": [
"11",
"10",
"12",
"14",
"16"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 3 years ago ? | "let ' s say age of richard is ` ` r ' ' age of david is ` ` d ' ' age of scott is ` ` s ' ' now richard is 6 years older than david , i . e . r = d + 6 david is 8 years older than scott i . e . d = s + 8 if in 8 years , richard will be twice as old as scott i . e . r + 8 = 2 x ( s + 8 ) i . e . r + 8 = 2 s + 16 i . e ... | MathQA |
{
"text": [
"12",
"14",
"16",
"18",
"15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | 6 years ago , the ratio of the ages of vimal and saroj was 6 : 5 . 4 years hence , the ratio of their ages will be 11 : 10 . what is saroj ' s age at present ? | given that , six years ago , the ratio of the ages of vimal and saroj = 6 : 5 hence we can assume that age of vimal six years ago = 6 x age of saroj six years ago = 5 x after 4 years , the ratio of their ages = 11 : 10 ⇒ ( 6 x + 10 ) : ( 5 x + 10 ) = 11 : 10 ⇒ 10 ( 6 x + 10 ) = 11 ( 5 x + 10 ) ⇒ 5 x = 10 ⇒ x = 105 = 2 ... | MathQA |
{
"text": [
"4.25 hr",
"3.8 hr",
"8.25 hr",
"2.25 hr",
"2.50 hr"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 70 km downstream . | "speed of boat in still water = 13 km / hr speed of the stream = 5 km / hr speed downstream = ( 13 + 5 ) = 18 km / hr time taken to travel 70 km downstream = 70 â „ 18 = 3.8 hours answer is b" | MathQA |
{
"text": [
"50 %",
"44.4 %",
"22.2 %",
"33.3 %",
"25 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | if 60 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ? | "60 % of ( x - y ) = 20 % of ( x + y ) 60 / 100 ( x - y ) = 20 / 100 ( x + y ) 4 x = 8 y required percentage = y / x * 100 = 4 y / 8 y * 100 = 50 % answer is a" | MathQA |
{
"text": [
"25",
"50",
"75",
"80"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"C"
] | a and b undertake to do a piece of work for rs . 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . ! find the share of each . | c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 24 a : b : c = ratio of their 1 day ' s work = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 . a ’ s share = rs . ( 600 * 4 / 8 ) = rs . 300 , b ' s share = rs . ( 600 * 3 / 8 ) = rs . 225 . c ' s share = rs . [ 600 - ( 300 + 225 » ) = rs . 75 . answer is c | MathQA |
{
"text": [
"28",
"31",
"34",
"37",
"40"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | how many even integers n , such that 20 < = n < = 220 are of the form 3 k + 4 , where k is any natural number ? | "the first number is 22 = 16 + 6 ( 1 ) . we can continue adding 6 to make a list : 22 , 28 , 34 , . . . the last number is 220 = 16 + 6 ( 34 ) there are 34 numbers in the list . the answer is c ." | MathQA |
{
"text": [
"3.9",
"4.2",
"4.5",
"4.8",
"5.1"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the edges of three metal cubes are 1 cm , 3 cm , and 4 cm respectively . a new cube is made by melting these three cubes together . what is the edge of the new cube ( in centimeters ) ? | the total volume is 1 ^ 3 + 3 ^ 3 + 4 ^ 3 = 92 the edge of the new cube is the cube root of 92 which is about 4.5 cm . the answer is c . | MathQA |
{
"text": [
"",
"100",
"",
"120",
"",
"250",
"",
"200",
"",
"160"
],
"label": [
"A",
"A",
"B",
"B",
"C",
"C",
"D",
"D",
"E",
"E"
]
} | [
"B"
] | an inspector rejects 10 % of the meters as defective . how many will he examine to reject 12 ? | "then , 10 % of x = 12 ( 10 / 100 ) x = 12 x = ( 12 * 100 * ) / 10 = 120 answer is b" | MathQA |
{
"text": [
"2 %",
"7 %",
"14 %",
"28 %",
"63 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a survey was sent to 60 customers , 7 of whom responded . then the survey was redesigned and sent to another 72 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ? | "rate of first survey = 7 / 60 rate of second survey = 9 / 72 % response rate increase ( 9 / 72 - 7 / 60 ) / ( 7 / 60 ) = 7 % answer is b = 7 %" | MathQA |
{
"text": [
"4 %",
"25 %",
"50 %",
"200 %",
"400 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | if the sides of a square are multiplied by 5 , the area of the original square is how many times as large as the area of the resultant square ? | "let x be the original length of one side . then the original area is x ^ 2 . the new square has sides of length 5 x , so the area is 25 x ^ 2 . the area of the original square is 1 / 25 = 4 % times the area of the new square . the answer is a ." | MathQA |
{
"text": [
"11 : 5",
"3 : 1",
"13 : 7",
"15 : 7",
"16 : 9"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | car a runs at the speed of 50 km / hr & reaches its destination in 6 hr . car b runs at the speed of 100 km / h & reaches its destination in 1 h . what is the respective ratio of distances covered by car a & car b ? | "sol . distance travelled by car a = 50 × 6 = 300 km distance travelled by car b = 100 × 1 = 100 km ratio = 300 / 100 = 3 : 1 answer : b" | MathQA |
{
"text": [
"48",
"32",
"24",
"18",
"64"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | a cubical block of metal weighs 8 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | "for example our cube have a side 1 meter , so we have 1 cubical meter in this cube and this cubical meter weigth 6 pounds if we take cube with side 2 meters we will have 8 cubical meters in this cube 8 meters * 8 pounds = 64 pounds so answer is e and similar but more theoretical approach : if we have sides a and b tha... | MathQA |
{
"text": [
"80",
"110",
"160",
"200",
"400"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 20 grades are d ' s . what is the number of students in the course ? | "we start by creating a variable for the total number of students in the math course . we can say : t = total number of students in the math course next , we can use variable t in an equation that we translate from the given information . we are given that , of the final grades received by the students in a certain mat... | MathQA |
{
"text": [
"30",
"40",
"50",
"60",
"70"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | how many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long | explanation : we need so simple divide 42.5 / 0.85 , = ( 4250 / 85 ) = 50 option c | MathQA |
{
"text": [
"14",
"15",
"8",
"22",
"24"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | ratio between rahul and deepak is 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age . | "explanation : present age is 5 x and 2 x , = > 5 x + 6 = 26 = > x = 4 so deepak age is = 2 ( 4 ) = 8 option c" | MathQA |
{
"text": [
"12",
"13",
"16.6",
"16",
"23"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | set a consists of all the prime numbers between 62 and 85 . what is the range of set a ? | the range of a set of data is the difference between the highest and lowest values in the set in this set , highest number = 83 lowest number = 67 range = highest - lowest = 83 - 67 = 16 option d | MathQA |
{
"text": [
"w = 350",
"w = 353",
"w = 354",
"356",
"357"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits w are in s ( 99 ) ? | "focus on the points where the number of digits in squares change : 1 , 2 , 3 - single digit squares . first 2 digit number is 10 . 4 , 5 , . . . 9 - two digit squares . to get 9 , the last number with two digit square , think that first 3 digit number is 100 which is 10 ^ 2 . so 9 ^ 2 must be the last 2 digit square .... | MathQA |
{
"text": [
"5000",
"5500",
"6000",
"6500",
"7000"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a candidate got 35 % of the votes and lost to the rival by 1650 votes . how many votes were cast ? | "35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 1650 10 % = 550 100 % of the votes = 5500 answer : b" | MathQA |
{
"text": [
"13",
"15.5",
"14",
"14.5",
"15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 8 miles per gallon , and from town b to town c , the car averaged 18 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through t... | "ans is b given d _ ab = 2 * d _ bc let d _ ab = d and d _ bc = x so d = 2 x for average miles per gallon = ( d + x ) / ( ( d / 8 ) + ( x / 18 ) ) = 15.5 ( formula avg speed = total distance / total time )" | MathQA |
{
"text": [
"16",
"12",
"10",
"20",
"10"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the total age of a and b is 10 years more than the total age of b and c . c is how many years younger than a . ? | "( a + b ) - ( b - c ) = 10 a - c = 10 answer is c" | MathQA |
{
"text": [
"82",
"17",
"14",
"82",
"18"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | excluding stoppages , the speed of a train is 67 kmph and including stoppages it is 51 kmph . of how many minutes does the train stop per hour ? | "explanation : t = 16 / 67 * 60 = 14 answer : option c" | MathQA |
{
"text": [
"12",
"42",
"64",
"96",
"84"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | the average runs of a cricket player of 8 innings was 24 . how many runs must he make in his next innings so as to increase his average of runs by 8 ? | "explanation : average after 9 innings = 32 required number of runs = ( 32 * 9 ) – ( 24 * 8 ) = 288 – 192 = 96 answer d" | MathQA |
{
"text": [
"3.2",
"4.5",
"6",
"6.25",
"15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | if jack walked 4 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ? | distance walked in 1 hour and 15 mins = 4 miles speed per hour = distance / time = 4 / ( 5 / 4 ) = 3.2 miles per hour answer a | MathQA |
{
"text": [
"90",
"120",
"150",
"440",
"430"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | yesterday it took robert 6 hours to drive from city a to city b . today it took robert 4.5 hours to drive back from city в to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 90 miles per hour . what is the distance between city a and city b ? | 2 d / 90 = 9.5 ( because time = 6 + 4.5 - 1 hrs ) = > d = 430 answer - e | MathQA |
{
"text": [
"251",
"253",
"255",
"257",
"260"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | 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 : | "let the middle digit 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 digits is smaller than the unit ' s digit . hence , required number = 253 . option b" | MathQA |
{
"text": [
"11 : 9",
"13 : 9",
"17 : 9",
"21 : 9"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"A"
] | 2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations . what is the ratio of their speeds | "explanation : we know total distance is 200 km if both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km [ 110 + 90 = 200 km ] so ratio of their speed = 110 : 90 = 11 : 9 option a" | MathQA |
{
"text": [
"14.4",
"180 / 7",
"50.4",
"64.8",
"90"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | 50 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ? | "50 % of area of the floor = 4 * 9 square feet = 36 square feet i . e . 100 % area of floor = ( 36 / 50 ) * 100 = 64.8 square feet answer : option d" | MathQA |
{
"text": [
"14 : 13",
"13 : 15",
"12 : 13",
"13 : 12",
"14 : 15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a work can be finished in 13 days by ten women . the same work can be finished in fifteen days by ten men . the ratio between the capacity of a man and a woman is | work done by 10 women in 1 day = 1 / 13 work done by 1 woman in 1 day = 1 / ( 13 ã — 10 ) work done by 16 men in 1 day = 1 / 15 work done by 1 man in 1 day = 1 / ( 15 ã — 10 ) ratio of the capacity of a man and woman = 1 / ( 15 ã — 10 ) : 1 / ( 13 ã — 10 ) = 1 / 15 : 1 / 13 = 1 / 15 : 1 / 13 = 13 : 15 answer is b . | MathQA |
{
"text": [
"0.3408",
"3.408",
"34.08",
"340.8"
],
"label": [
"A",
"B",
"C",
"D"
]
} | [
"D"
] | if 213 × 16 = 3408 , then 1.6 × 213.0 is equal to : | solution 1.6 × 21.3 = ( 16 / 10 x 213 ) = ( 16 x 213 / 10 ) = 3408 / 10 = 340.8 . answer d | MathQA |
{
"text": [
"100",
"120",
"130",
"150",
"140"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds . its length is | "let the length of the train be x meters and its speed be y m / sec . they , x / y = 15 = > y = x / 15 x + 100 / 25 = x / 15 x = 150 m . answer : option d" | MathQA |
{
"text": [
"512",
"1024",
"768",
"2048",
"4096"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the population of a bacteria colony doubles every day . if it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days , how large is the colony today ? | "9 days ago - 2 8 days ago - 4 7 days ago - 8 6 days ago - 16 5 days ago - 32 4 days ago - 64 3 days ago - 128 2 days ago - 256 yesterday - 512 today - 1024 answer : b" | MathQA |
{
"text": [
"200",
"210",
"220",
"230",
"240"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the h . c . f of two numbers is 15 and their l . c . m is 3300 . if one of the numbers is 225 , then the other is ? | "other number = ( 15 * 3300 ) / 225 = 220 . answer : c" | MathQA |
{
"text": [
"10 %",
"15 %",
"20 %",
"25 %",
"30 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a bag marked at $ 80 is sold for $ 68 . the rate of discount is ? | "rate of discount = 12 / 80 * 100 = 15 % answer is b" | MathQA |
{
"text": [
"5",
"7",
"15",
"12",
"13"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | { 5 , 6 , 3 , 8 , 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values ? | median is the middle number of a sorted distribution . in case of even number of items , median will be the average of middle two values . the question asks fora new number that will cause the median of new set at 10 . mentionable that given set is already sorted and number of items of new set will be 5 + 1 = 6 . to ge... | MathQA |
{
"text": [
"4', '",
"8', '",
"12', '",
"16', '",
"20']"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ? | area of the square = 8 x 8 = 64 let ' l ' be the unknown diagonal 0.5 x 16 x ' l ' = 64 which gives ' l ' = 8 cm answer : b | MathQA |
{
"text": [
"10 %",
"20 %",
"30 %",
"40 %",
"50 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | the cost price of 7 articles is equal to the selling price of 5 articles . what is the profit percent ? | "5 * sp = 7 * cp sp = 1.4 * cp the profit percent is 40 % . the answer is d ." | MathQA |
{
"text": [
"3",
"5",
"7",
"9",
"12"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a positive number when decreased by 4 is equal to 21 times the reciprocal of the number . the number is | "sol . let the numbers be x . then , x - 4 = 21 / x ⇔ x 2 - 4 x - 21 = 0 ⇔ ( x - 7 ) ( x + 3 ) = 0 ⇔ x = 7 . answer c" | MathQA |
{
"text": [
"72.5",
"55.5",
"62.5",
"82.5",
"60.5"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | at what price must an book costing $ 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ? | "c $ 62.50 cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 95 / 100 ) = 59.375 mp = 62.5" | MathQA |
{
"text": [
"38",
"20",
"28",
"49",
"10"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a car consumes 210 liters of petrol weekly . for how many days will 1470 liters of petrol be sufficient ? | explanation : no explanation is available for this question ! answer : d | MathQA |
{
"text": [
"22.15 %",
"23.5 %",
"24.3 %",
"25 %",
"29.6 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | one type of liquid contains 20 % of water and the second type of liquid contains 35 % of water . a glass is filled with 10 parts of 1 st liquid and 4 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ? | required percentage = ( 20 % of 10 + 35 % of 4 ) / 10 + 4 * 100 = 3.4 / 14 * 100 = 24.3 % answer is c | MathQA |
{
"text": [
"17 , 18",
"30,31",
"5 , 6",
"1 , 2",
"8 , 9"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the sum of two consecutive integers is 61 . find the numbers . | "n + ( n + 1 ) = 61 2 n + 1 = 61 2 n = 60 n = 30 answer : b" | MathQA |
{
"text": [
"5 m', '",
"12 m', '",
"6 m', '",
"8 m', '",
"10 m']"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ? | height of the cuboid = volume * base area = 144 / 18 = 8 metre answer is option d | MathQA |
{
"text": [
"16",
"17",
"18",
"19",
"10"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | how many positive even integers less than 100 contain digits 7 or 9 ? | "two digit numbers : 7 at tens place : 70 , 72,74 , 76,78 9 at tens place : 90 , 92,94 , 96,98 if 7 and 9 is at units place , the number cant be even total : 5 + 5 = 10 answer e" | MathQA |
{
"text": [
"650",
"250",
"150",
"100",
"400"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | in a group of 650 readers who read science fiction or literacy works or both , 250 read science fiction and 550 read literacy works . how many read both science fiction and literacy works ? | "consider total number of reader n ( s u l ) = 650 people who read science fiction n ( s ) = 250 people who read literacy works n ( l ) = 550 both science fiction and literacy n ( s â ˆ © l ) = ? n ( s u l ) = n ( s ) + n ( l ) - n ( s â ˆ © l ) 650 = 250 + 550 - n ( s â ˆ © l ) n ( s â ˆ © l ) = 800 - 650 n ( s â ˆ © ... | MathQA |
{
"text": [
"0.36",
"3.6",
"360",
"18,000",
"36,000"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if anangletis defined as 1 percent of 1 degree , then how many anglets are there in one half circle ? | "1 degree * 1 / 100 = 1 anglet so 1 degree = 100 anglets = > 180 degrees = 18,000 anglets answer - d" | MathQA |
{
"text": [
"72 kmph",
"60 kmph",
"30 kmph",
"80 kmph",
"82 kmph"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the speed of a car is 80 km in the first hour and 40 km in the second hour . what is the average speed of the car ? | "s = ( 80 + 40 ) / 2 = 60 kmph answer : b" | MathQA |
{
"text": [
"7",
"9",
"11",
"13",
"15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 3000 ? | "to maximize the length of z , we should minimize its prime base . the smallest prime is 2 and since 2 ^ 11 = 2048 < 3000 , then the greatest possible length of integer z is 11 . the answer is c ." | MathQA |
{
"text": [
"30",
"36",
"42",
"45",
"48"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a cistern is filled by a tap in 4 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how many hours will it take the leak to empty it ? | "filling rate - leak rate = net rate 1 / 4.5 - leak rate = 1 / 5 leak rate = 2 / 9 - 1 / 5 = 1 / 45 the answer is d ." | MathQA |
{
"text": [
"45225766",
"46855821",
"47045882",
"48925947",
"49325989"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | what is ( 19 ^ 7 + 19 ) / 19 ? | "( 19 ^ 7 + 19 ) / 19 = 19 * ( 19 ^ 6 + 1 ) / 19 = 19 ^ 6 + 1 clearly this is a number which ends with a 2 in the units place . the answer is c ." | MathQA |
{
"text": [
"800",
"1,250",
"8,000",
"12,000",
"80,000"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a certain galaxy is known to comprise approximately 6 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? | "6 * 10 ^ 11 50 mln = 5 * 10 ^ 7 we divide 10 ^ 11 by 10 ^ 7 and we get ( 10 ^ 4 ) * 6 = 60,000 and divide by 5 . the result is 12,000 d" | MathQA |
{
"text": [
"0",
"1",
"2",
"3",
"4"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | what is the remainder when 4 ^ 381 is divided by 5 ? | i also agree that the remainder is ' 4 ' ( using the last digit of the powers of 7 ) . could we have the official answer please ? e | MathQA |
{
"text": [
"800",
"1500",
"1000",
"750",
"500"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | the present population of a town is 1000 . population increase rate is 25 % p . a . find the population of town before 1 years ? | "p = 1000 r = 25 % required population of town = p / ( 1 + r / 100 ) ^ t = 1000 / ( 1 + 25 / 100 ) = 1000 / ( 5 / 4 ) = 800 answer is a" | MathQA |
{
"text": [
"1 / 4",
"1 / 3",
"2 / 5",
"4 / 9",
"1 / 2"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | a = { 0 , 1 , - 3 , 6 , - 8 } b = { - 1 , 2 , - 4 , 7 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab > 0 ? | for the product of 2 numbers to be positive either both of them must be positive or both of them must be negative : p ( positive , positive ) = 2 / 5 * 2 / 4 = 4 / 20 ; p ( negative , negative ) = 2 / 5 * 2 / 4 = 4 / 20 . p = 4 / 20 + 4 / 20 = 8 / 20 = 2 / 5 . answer : c . | MathQA |
{
"text": [
"40 %",
"45 %",
"50 %",
"55 %",
"60 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | john and david can finish a job together in 1 hours . if john can do the job by himself in 2 hours , what percent of the job does david do ? | you can also plug in numbers . for example , bob and alice work at a donut factory and make 10 donuts which is the job ( i picked this as a smart number ) . john on his own works 10 / 2 = 5 donuts per hour . john and david work 10 / 1 = 10 donuts per hour so david works 5 donuts / hour to find out the percentage , davi... | MathQA |
{
"text": [
"0",
"1",
"2",
"4",
"7"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 17 , the mean is how much greater than the median ? | "mean = ( x + x + 2 + x + 4 + x + 7 + x + 17 ) / 5 = ( 5 x + 30 ) / 5 = x + 6 median = x + 4 thus mean - median = x + 6 - ( x + 4 ) = 2 answer = c" | MathQA |
{
"text": [
"76 kmph",
"6 kmph",
"14 kmph",
"8 kmph",
"3 kmph"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"E"
] | a man rows his boat 84 km downstream and 60 km upstream , taking 4 hours each time . find the speed of the stream ? | "speed downstream = d / t = 84 / ( 4 ) = 21 kmph speed upstream = d / t = 60 / ( 4 ) = 15 kmph the speed of the stream = ( 21 - 15 ) / 2 = 3 kmph answer : e" | MathQA |
{
"text": [
"2",
"3",
"4",
"5",
"8"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | 10 machines , each working at the same constant rate , together can complete a certain job in 12 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 8 days ? | "another solution which is faster is since each machine works at a constant rate . the time needs to bought down from 12 to 8 . so the new time is 2 / 3 of the original time . thus to achieve this we need the rate to be 3 / 2 of original . so 3 / 2 * 10 = 15 so we need 15 - 10 = 5 more machines . answer : d" | MathQA |
{
"text": [
"1 / 2",
"1 / 5",
"3 / 4",
"1 / 3",
"3 / 5"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | given a bag with 2 red balls and 3 yellow balls , you randomly select one of them , in order . if the second ball you take is yellow , what is the probability that the first one was also yellow ? | this is a conditional probability question . basically we are told that out of 2 balls picked one is yellow and are asked to find the probability of the other one also to be yellow . so , possible options for this other ball would be : w , w , b , b ( as one yellow is already picked ) so the probability for that ball t... | MathQA |
{
"text": [
"1520",
"2520",
"3520",
"5140",
"7660"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | how many 4 - digit positive integers are multiple of each integer from 1 to 10 | "least no which could be divisible by integers [ 1,2 , 3,4 , 5,6 , 7,8 , 9,10 ] is the lcm of the said integers . lcm [ 1,2 , 3,4 , 5,6 , 7,8 , 9,10 ] = 2520 no the nos which are divisible by 2520 will be divisible by [ 1 , 2,3 , 4,5 , 6,7 , 8,9 ] there are 3 values possible between 1000 to 9999 they are 2520 x 1 = 252... | MathQA |
{
"text": [
"3",
"6",
"9",
"12",
"15"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | a water tank is one - fifth full . pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how many minutes will it take to empty or fill the tank completely ? | the combined rate of filling / emptying the tank = 1 / 10 - 1 / 6 = - 1 / 15 since the rate is negative , the tank will be emptied . a full tank would take 15 minutes to empty . since the tank is only one - fifth full , the time is ( 1 / 5 ) * 15 = 3 minutes the answer is a . | MathQA |
{
"text": [
"4.54 %",
"9.09 %",
"10 %",
"11 %",
"12.25 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | jar y has 10 % more marbles than jar x . what percent of marbles from jar y need to be moved into x so that both jars have equal marbles | no ; the choices will be approximated only when gmat question explicitly mentions that ; here the answer is very close 4.54 , not 5 . jar y has 10 % more marbles than x y = 1.1 x if k marbles are taken out of y . the remaining marbles in jar y = 1.1 x - k if k marbles are added to x . the new marbles ' count in jar x =... | MathQA |
{
"text": [
"15 / 56",
"41 / 56",
"13 / 28",
"15 / 28",
"5 / 14"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a bag contains 3 blue and 5 white marbles . one by one , marbles are drawn out randomly until only two are left in the bag . what is the probability that out of the two , one is white and one is blue ? | "the required probability = probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls . ways to select 6 out of total 8 = 8 c 6 ways to select 4 out of 5 white balls = 5 c 4 ways to select 2 out of 3 blue balls = 3 c 2 thus the required probability = ( 5 ... | MathQA |
{
"text": [
"334 km .",
"216 km .",
"314 km .",
"224 km .",
"544 km ."
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | a woman complete a journey in 10 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km . | "d 224 km . 0.5 x / 21 + 0.5 x / 24 = 10 - - > x / 21 + x / 24 = 20 - - > 15 x = 168 x 20 - - > x = ( 168 x 20 ) / 15 = 224 km ." | MathQA |
{
"text": [
"15 kmph",
"11 kmph",
"18 kmph",
"8 kmph",
"12 kmph"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | the speed of a train is 80 kmph . what is the distance covered by it in 6 minutes ? | "80 * 6 / 60 = 8 kmph answer : d" | MathQA |
{
"text": [
"560",
"540",
"520",
"440",
"500"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if 50 % 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 ? | we know 50 % people study biology , therefore the no of people not studying = 100 - 50 = 50 % > therefore the people not studying biology out of a total 880 people are = 50 % of 880 > ( 50 / 100 ) * 880 = 440 people d | MathQA |
{
"text": [
"",
"7",
"",
"9",
"",
"11",
"",
"13",
"",
"15"
],
"label": [
"A",
"A",
"B",
"B",
"C",
"C",
"D",
"D",
"E",
"E"
]
} | [
"A"
] | sum of two numbers is 10 . two times of the first exceeds by 5 from the three times of the other . then the numbers will be ? | "explanation : x + y = 10 2 x – 3 y = 5 x = 7 y = 3 a )" | MathQA |
{
"text": [
"3.2 hr",
"3.4 hr",
"3.6 hr",
"3.8 hr",
"4.2 hr"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km . how many hours has been driving at 20 kmph ? | let see d / t = v then x / 20 + ( 400 - x ) / 70 = 8 x = 64 kmh t = 64 / 20 = 3.2 hr answer : a | MathQA |
{
"text": [
"20000",
"16000",
"18000",
"17000",
"15000"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | a shopkeeper sells 10 % of his stock at 20 % profit ans sells the remaining at a loss of 5 % . he incurred an overall loss of rs . 400 . find the total worth of the stock ? | "let the total worth of the stock be rs . x . the sp of 20 % of the stock = 1 / 10 * x * 6 / 5 = 6 x / 50 the sp of 80 % of the stock = 9 / 10 * x * 0.95 = 171 x / 200 total sp = 24 x / 200 + 171 / 200 = 49 x / 50 overall loss = x - 195 / 20050 = 5 x / 200 5 x / 200 = 400 = > x = 16000 answer : b" | MathQA |
{
"text": [
"3",
"5",
"11",
"9",
"10"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"C"
] | in one hour , a boat goes 13 km along the stream and 9 km against the stream . the speed of the boat in still water ( in km / hr ) is : | "solution speed in still water = 1 / 2 ( 13 + 9 ) kmph . = 11 kmph . answer c" | MathQA |
{
"text": [
"10",
"15",
"30",
"20",
"16"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"D"
] | if 5 spiders make 2 webs in 8 days , then how many days are needed for 1 spider to make 1 web ? | "explanation : let , 1 spider make 1 web in x days . more spiders , less days ( indirect proportion ) more webs , more days ( direct proportion ) hence we can write as ( spiders ) 5 : 1 ( webs ) 1 : 8 } : : x : 2 â ‡ ’ 5 ã — 1 ã — 8 = 1 ã — 2 ã — x â ‡ ’ x = 20 answer : option d" | MathQA |
{
"text": [
"15 %",
"80 %",
"20 %",
"22 %",
"24 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | an employee ’ s annual salary was increased $ 5,000 . if her new annual salary now equals $ 25000 what was the percent increase ? | "new annual salary = $ 25000 salary increase = $ 5000 . original salary = $ 25000 - $ 5,000 . = $ 20,000 % increase = ( $ 15,000 / $ 75,000 ) * 100 = 80 % hence b ." | MathQA |
{
"text": [
"45 %",
"62.5 %",
"35 %",
"32.5 %",
"30 %"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"B"
] | the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 50 per cent . the two reductions together are equal to a single reduction of | "price = p initially price reduced by 25 % which means new price is 3 / 4 p now on this new price further 50 percent is reduced which means the new price is merely 50 percent of 3 / 4 p = = > ( 3 / 4 ) x ( 1 / 2 ) p = 3 / 8 p is the new price after both deduction which is 37.5 percent of the original value p . this imp... | MathQA |
{
"text": [
"5 : 1",
"2 : 3",
"1 : 4",
"3 : 7",
"2 : 5"
],
"label": [
"A",
"B",
"C",
"D",
"E"
]
} | [
"A"
] | in a school 10 % of the boys are same in number as 1 / 2 th of the girls . what is the ratio of boys to the girls in the school ? | "10 % of b = 1 / 2 g 10 b / 100 = g / 2 b = 5 g / 1 b / g = 5 / 1 b : g = 5 : 1 answer is a" | MathQA |
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