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a number is doubled and 9 is added . if resultant is trebled , it becomes 75 . what is that number | "explanation : = > 3 ( 2 x + 9 ) = 75 = > 2 x + 9 = 25 = > x = 8 answer : option a" | a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 15 | a | divide(subtract(75, multiply(const_3, 9)), multiply(const_3, const_2)) | multiply(n0,const_3)|multiply(const_2,const_3)|subtract(n1,#0)|divide(#2,#1)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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a number is doubled and 9 is added . if resultant is trebled , it becomes 75 . what is that number
Categories:
general
physics
gain
geometry
probability
other | general |
a batsman scored 210 runs which included 3 boundaries and 8 sixes . what % of his total score did he make by running between the wickets | "number of runs made by running = 210 - ( 3 x 4 + 8 x 6 ) = 210 - ( 60 ) = 150 now , we need to calculate 60 is what percent of 120 . = > 150 / 210 * 100 = 71.4 % d" | a ) 40 % , b ) 50 % , c ) 65 % , d ) 71.4 % , e ) 75 % | d | multiply(divide(subtract(210, add(multiply(3, 8), multiply(8, 3))), 210), const_100) | multiply(n1,n2)|multiply(n1,n2)|add(#0,#1)|subtract(n0,#2)|divide(#3,n0)|multiply(#4,const_100)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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a batsman scored 210 runs which included 3 boundaries and 8 sixes . what % of his total score did he make by running between the wickets
Categories:
general
physics
gain
geometry
probability
other | general |
( 112 x 5 ^ 4 ) = ? | "( 112 x 54 ) = 112 x 10 4 = 112 x 104 = 1120000 = 70000 2 24 16 a )" | a ) 70000 , b ) 80000 , c ) 90000 , d ) 90090 , e ) 100000 | a | multiply(112, power(add(const_4, const_1), const_4)) | add(const_1,const_4)|power(#0,const_4)|multiply(n0,#1)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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( 112 x 5 ^ 4 ) = ?
Categories:
general
physics
gain
geometry
probability
other | general |
x + ( 1 / x ) = 2 find x ^ 2 + ( 1 / x ^ 2 ) | "squaring on both sides ( x + 1 / x ) ^ 2 = 2 ^ 2 x ^ 2 + 1 / x ^ 2 = 4 - 2 x ^ 2 + 1 / x ^ 2 = 2 answer : a" | a ) 2 , b ) 3.25 , c ) 4.25 , d ) 5.25 , e ) 6.25 | a | subtract(power(2, 2), 2) | power(n1,n2)|subtract(#0,n2)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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x + ( 1 / x ) = 2 find x ^ 2 + ( 1 / x ^ 2 )
Categories:
general
physics
gain
geometry
probability
other | general |
what least no . must be subtracted from 427398 so that remaining no . is divisible by 15 ? | "explanation : on dividing 427398 by 15 we get the remainder 3 , so 3 should be subtracted option b" | a ) 344545629 , b ) 723437481 , c ) 354595321 , d ) 964564944 , e ) 458449909 | b | subtract(427398, multiply(floor(divide(427398, 15)), 15)) | divide(n0,n1)|floor(#0)|multiply(n1,#1)|subtract(n0,#2)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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what least no . must be subtracted from 427398 so that remaining no . is divisible by 15 ?
Categories:
general
physics
gain
geometry
probability
other | general |
in a box of 12 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? | "# defective pens = 3 # good pens = 9 probability of the 1 st pen being good = # of favorable outcomes / # of total outcomes = 9 / 12 probability of the 2 nd pen being good = # of remaining favorable outcomes / # of total remaining outcomes = 8 / 11 total probability = 9 / 12 * 8 / 11 = 6 / 11 answer will be c" | a ) 1 / 6 , b ) 2 / 9 , c ) 6 / 11 , d ) 9 / 16 , e ) 3 / 4 | c | multiply(divide(subtract(12, 3), 12), divide(subtract(subtract(12, 3), const_1), subtract(12, const_1))) | subtract(n0,n1)|subtract(n0,const_1)|divide(#0,n0)|subtract(#0,const_1)|divide(#3,#1)|multiply(#2,#4)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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in a box of 12 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?
Categories:
general
physics
gain
geometry
probability
other | general |
if a sum of money doubles itself in 15 years at simple interest , the ratepercent per annum is | "explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 15 ) = 6.67 option c" | a ) 12 , b ) 12.5 , c ) 6.67 , d ) 13.5 , e ) 14 | c | divide(divide(const_2, divide(15, const_100)), const_2) | divide(n0,const_100)|divide(const_2,#0)|divide(#1,const_2)| | gain | problem_set_type | Given the problem below, in what category would you classify it?
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if a sum of money doubles itself in 15 years at simple interest , the ratepercent per annum is
Categories:
general
physics
gain
geometry
probability
other | gain |
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 883 . find the cost of each ice - cream cup ? | "explanation : let the cost of each ice - cream cup be rs . x 16 ( 6 ) + 5 ( 45 ) + 7 ( 70 ) + 6 ( x ) = 883 96 + 225 + 490 + 6 x = 883 6 x = 72 = > x = 12 . answer : d" | a ) 25 , b ) 76 , c ) 29 , d ) 12 , e ) 20 | d | divide(subtract(subtract(subtract(883, multiply(16, 6)), multiply(5, 45)), multiply(7, 70)), 6) | multiply(n0,n3)|multiply(n1,n5)|multiply(n2,n6)|subtract(n7,#0)|subtract(#3,#1)|subtract(#4,#2)|divide(#5,n3)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashie... | general |
if a person walks at 16 km / hr instead of 8 km / hr , he would have walked 20 km more . the distance traveled by him if he walked at 16 km / hr ? | "let the actual distance traveled be x km . then , x / 8 = ( x + 20 ) / 16 2 x - x = 20 = > x = 20 km . the required distance is = ( 20 + 20 ) km = 40 km answer : e" | a ) 50 km , b ) 58 km , c ) 60 km , d ) 70 km , e ) 40 km | e | multiply(8, divide(20, subtract(16, 8))) | subtract(n0,n1)|divide(n2,#0)|multiply(n1,#1)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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if a person walks at 16 km / hr instead of 8 km / hr , he would have walked 20 km more . the distance traveled by him if he walked at 16 km / hr ?
Categories:
general
physics
gain
geometry
probability
other | general |
drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 3 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? | "( 1 / 2 ) x = ( 1 / 4 ) y ( 1 / 4 ) y + ( 1 / 3 ) y = ( 7 / 12 ) y the answer is c ." | a ) 2 / 3 , b ) 5 / 6 , c ) 7 / 12 , d ) 11 / 12 , e ) 17 / 24 | c | divide(add(multiply(divide(1, 3), const_12), multiply(divide(const_12, 2), divide(1, 2))), const_12) | divide(n0,n3)|divide(const_12,n1)|divide(n0,n1)|multiply(#0,const_12)|multiply(#1,#2)|add(#3,#4)|divide(#5,const_12)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 3 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ?
Categories:
general
physics
gain
geometry
prob... | general |
find the area of trapezium whose parallel sides are 26 cm and 18 cm long , and the distance between them is 15 cm . | "area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 26 + 18 ) * ( 15 ) = 330 cm 2 answer : c" | a ) 227 , b ) 299 , c ) 330 , d ) 161 , e ) 212 | c | quadrilateral_area(15, 18, 26) | quadrilateral_area(n2,n1,n0)| | physics | problem_set_type | Given the problem below, in what category would you classify it?
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find the area of trapezium whose parallel sides are 26 cm and 18 cm long , and the distance between them is 15 cm .
Categories:
general
physics
gain
geometry
probability
other | physics |
a train 160 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is | "speed of train relative to man : 160 / 6 * 18 / 5 km / hr = 96 km / hr let speed of train = x therefore x + 6 = 96 x = 96 - 6 x = 90 km / hr answer : e" | a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 90 kmph | e | divide(divide(subtract(160, multiply(multiply(6, const_0_2778), 6)), 6), const_0_2778) | multiply(n1,const_0_2778)|multiply(n1,#0)|subtract(n0,#1)|divide(#2,n1)|divide(#3,const_0_2778)| | physics | problem_set_type | Given the problem below, in what category would you classify it?
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a train 160 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is
Categories:
general
physics
gain
geometry
probability
other | physics |
an aeroplane covers a certain distance at a speed of 240 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : | "distance = ( 240 x 6 ) = 1440 km . speed = distance / time speed = 1440 / ( 5 / 3 ) km / hr . [ we can write 1 2 / 3 hours as 5 / 3 hours ] required speed = ( 1440 x 3 / 5 ) km / hr = 864 km / hr answer e ) 864 km / hr" | a ) 520 , b ) 620 , c ) 820 , d ) 740 , e ) 864 | e | divide(divide(multiply(240, 6), add(const_1, divide(const_2, const_3))), const_2) | divide(const_2,const_3)|multiply(n0,n1)|add(#0,const_1)|divide(#1,#2)|divide(#3,const_2)| | physics | problem_set_type | Given the problem below, in what category would you classify it?
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an aeroplane covers a certain distance at a speed of 240 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :
Categories:
general
physics
gain
geometry
probability
other | physics |
if 9 engines consume 24 metric tonnes of coal , when each is working 8 hoursday , bow much coal will be required for 8 engines , each running 13 hours a day , it being given that 3 engines of former type consume as much as 4 engines of latter type ? | let 3 engines of former type consume 1 unit in 1 hour . then , 4 engines of latter type consume 1 unit in 1 hour . therefore 1 engine of former type consumes ( 1 / 3 ) unit in 1 hour . 1 engine of latter type consumes ( 1 / 4 ) unit in 1 hour . let the required consumption of coal be x units . less engines , less coal ... | a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) none of them | c | multiply(13, multiply(divide(multiply(3, 24), multiply(9, 8)), const_2)) | multiply(n1,n5)|multiply(n0,n2)|divide(#0,#1)|multiply(#2,const_2)|multiply(n4,#3) | physics | problem_set_type | Given the problem below, in what category would you classify it?
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if 9 engines consume 24 metric tonnes of coal , when each is working 8 hoursday , bow much coal will be required for 8 engines , each running 13 hours a day , it being given that 3 engines of former type consume as much as 4 engines of latter type ?
... | physics |
the value of log 2 ( log 5625 ) is | solution let log 5625 = x . then , 5 x = 625 = 54 ‹ = › x = 4 . let log 2 ( log 5625 ) = y . then , log 24 = y ‹ = › 2 y = 4 y ; 2 . answer a | a ) 2 , b ) 5 , c ) 10 , d ) 15 , e ) 20 | a | log(divide(log(subtract(5625, multiply(add(const_4, const_1), const_1000))), log(add(const_4, const_1)))) | add(const_1,const_4)|log(#0)|multiply(#0,const_1000)|subtract(n1,#2)|log(#3)|divide(#4,#1)|log(#5) | other | problem_set_type | Given the problem below, in what category would you classify it?
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the value of log 2 ( log 5625 ) is
Categories:
general
physics
gain
geometry
probability
other | other |
if 16 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? | "let x be the number of students in the school . 0.16 x students went to the trip and took more than 100 $ . they compose ( 100 - 75 ) = 25 % of all students who went to the trip . therefore the toal of 0.16 x / 0.25 = 0.64 x students went to the camping which is 64 % . the answer is e" | a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 64 | e | divide(16, divide(subtract(100, 75), 100)) | subtract(n1,n2)|divide(#0,n1)|divide(n0,#1)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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if 16 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the ca... | general |
a man sitting in a train which is traveling at 55 kmph observes that a goods train , traveling in opposite direction , takes 10 seconds to pass him . if the goods train is 320 m long , find its speed | "explanation : relative speed = 320 / 10 m / sec = ( ( 320 / 10 ) × ( 18 / 5 ) ) kmph = 115 kmph . speed of goods train = ( 115 - 55 ) kmph = 60 kmph answer : option c" | a ) 52 kmph , b ) 56 kmph , c ) 60 kmph , d ) 62 kmph , e ) 72 kmph | c | subtract(multiply(divide(320, 10), const_3_6), 55) | divide(n2,n1)|multiply(#0,const_3_6)|subtract(#1,n0)| | physics | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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a man sitting in a train which is traveling at 55 kmph observes that a goods train , traveling in opposite direction , takes 10 seconds to pass him . if the goods train is 320 m long , find its speed
Categories:
general
physics
gain
geometry
probabi... | physics |
a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90 . to obtain equal dividends from both , he must invest the money in the ratio : | "solution for an income of rs . 1 in 10 % stock at 90 , investment = rs . ( 90 / 10 ) = rs . 9 . for an income of rs . 1 in 5 % stock at 90 , investment = rs . ( 90 / 5 ) = rs . 18 . ∴ ratio of investments = 9 : 18 = 1 : 2 answer a" | a ) 1 : 2 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none | a | divide(multiply(90, const_2), multiply(90, const_3)) | multiply(n1,const_2)|multiply(n3,const_3)|divide(#0,#1)| | other | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90 . to obtain equal dividends from both , he must invest the money in the ratio :
Categories:
general
physics
gain
geometry
probability
other | other |
average of 10 matches is 32 , how many runs one should should score to increase his average by 6 runs . | "explanation : average after 11 innings should be 38 so , required score = ( 11 * 38 ) - ( 10 * 32 ) = 418 - 320 = 98 answer : option d" | a ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 98 , e ) e ) 88 | d | subtract(multiply(add(32, 6), add(10, const_1)), multiply(10, 32)) | add(n1,n2)|add(n0,const_1)|multiply(n0,n1)|multiply(#0,#1)|subtract(#3,#2)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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average of 10 matches is 32 , how many runs one should should score to increase his average by 6 runs .
Categories:
general
physics
gain
geometry
probability
other | general |
solve below question 2 x + 1 = - 23 | 1 . subtract 1 from both sides : 2 x + 1 - 1 = - 23 - 1 2 . simplify both sides : 2 x = - 24 3 . divide both sides by 2 : 4 . simplify both sides : x = - 12 c | a ) - 8 , b ) - 9 , c ) - 12 , d ) - 4 , e ) 12 | c | divide(negate(add(23, 1)), 2) | add(n1,n2)|negate(#0)|divide(#1,n0) | general | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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solve below question 2 x + 1 = - 23
Categories:
general
physics
gain
geometry
probability
other | general |
calculate 85184 ÷ ? = 352 | "answer let 85184 ÷ x = 242 then x = 85184 / 242 = 352 . option : b" | a ) 241 , b ) 242 , c ) 244 , d ) 247 , e ) 240 | b | multiply(85184, 352) | multiply(n0,n1)| | general | problem_set_type | Given the problem below, in what category would you classify it?
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| Given the problem below, in what category would you classify it?
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calculate 85184 ÷ ? = 352
Categories:
general
physics
gain
geometry
probability
other | general |
7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 a vending machine is designed to dispense 8 ounces of coffee into a cup . after a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine , the 12 listed amounts , in ounces , were selected from the data above . ... | mean = 8.1 standard deviation = 0.4 within 1.5 standard deviation of the mean i . e . 1.5 standard deviation above the mean = 8.1 + 1.5 * 0.4 = 8.7 and 1.5 standard deviation below the mean = 8.1 - 1.5 * 0.4 = 7.5 all values are within the range hence , 12 values fall within 1.5 sd from mean answer : option e | a ) four , b ) six , c ) nine , d ) ten , e ) twelve | e | add(8.1, subtract(8.1, multiply(1.5, 0.4))) | multiply(n17,n19)|subtract(n16,#0)|add(n16,#1) | general | problem_set_type | Given the problem below, in what category would you classify it?
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7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 a vending machine is designed to dispense 8 ounces of coffee into a cup . after a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine , the... | general |
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