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[
{
"content": "the population of a town increases 22 % and 25 % respectively in two consecutive years . after the growth the present population of the town is 1220 . then what is the population of the town 2 years ago ?\n\nOptions:\na ) a ) 600 , b ) b ) 700 , c ) c ) 800 , d ) d ) 900 , e ) e ) 1000",
"role... |
[
{
"content": "in how many v ways can a 4 - letter password be chosen , using the letters a , b , c , d , e , and / or f , such that at least one letter is repeated within the password ?\n\nOptions:\na ) 720 , b ) 864 , c ) 900 , d ) 936 , e ) 1296",
"role": "user"
},
{
"content": "total number of fo... |
[
{
"content": "the average expenditure of a labourer for 6 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is\n\nOptions:\na ) 70 , b ) 72 , c ) 75 , d ) 78 , e ) none of the above",
"rol... |
[
{
"content": "what is the greatest positive integer x such that 7 ^ x is a factor of 343 ^ 10 ?\n\nOptions:\na ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30",
"role": "user"
},
{
"content": "\"343 ^ 10 = ( 7 ^ 3 ) ^ 10 = 7 ^ 30 answer : e\"",
"role": "assistant"
}
] |
[
{
"content": "in the xy - coordinate system , what is the slope of the line that goes through the point ( 4 , 4 ) and is equidistant from the two points p = ( 0 , 2 ) and q = ( 12 , 8 ) ?\n\nOptions:\na ) 0.1 , b ) 0.3 , c ) 0.5 , d ) 0.7 , e ) 0.9",
"role": "user"
},
{
"content": "\"first , get the... |
[
{
"content": "a sum of money is sufficient to pay b ' s wages for 12 days and c ' s wages for 24 days . the same money is sufficient to pay the wages of both for ?\n\nOptions:\na ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10",
"role": "user"
},
{
"content": "let the total money be $ x b ' s 1 day work = $ x ... |
[
{
"content": "jonathan , matthew and zac are picking strawberries from their yard . together they have picked a total of 550 strawberries . jonathan and matthew have picked 350 strawberries together . matthew and zac have picked 250 strawberries together . how many strawberries has zac picked by himself ?\n\nOp... |
[
{
"content": "in a certain parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle ?\n\nOptions:\na ) 55 , b ) 80 , c ) 85 , d ) 90 , e ) 95",
"role": "user"
},
{
"content": "in a parallelogram opposite angles are equal and the an... |
[
{
"content": "a candidate got 35 % of the votes and lost to the rival by 1350 votes . how many votes were cast ?\n\nOptions:\na ) 4000 , b ) 4500 , c ) 5000 , d ) 5500 , e ) 6000",
"role": "user"
},
{
"content": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - -... |
[
{
"content": "the product of two numbers is 2028 and their h . c . f . is 13 . the number of such pairs is :\n\nOptions:\na ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5",
"role": "user"
},
{
"content": "\"explanation : let the numbers be 13 a and 13 b . then , 13 a * 13 b = 2028 = > ab = 12 . now , co - prim... |
[
{
"content": "a train 140 m long crosses a platform 160 m long in 16 sec ; find the speed of the train ?\n\nOptions:\na ) 87 kmph , b ) 65 kmph , c ) 68 kmph , d ) 16 kmph , e ) 18 kmph",
"role": "user"
},
{
"content": "\"d = 140 + 160 = 300 t = 16 s = 300 / 16 * 18 / 5 = 67.5 kmph answer : c\"",
... |
[
{
"content": "a zeebra chases a tiger 5 hours after the tiger runs . zeebra takes 6 hours to reach the tiger . if the average speed of the zeebra is 55 kmph , what s the average speed of the tiger ?\n\nOptions:\na ) 35 kmph , b ) 32 kmph , c ) 30 kmph , d ) 31 kmph , e ) 20 kmph",
"role": "user"
},
{
... |
[
{
"content": "if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first 4 flips but not on the last flip ?\n\nOptions:\na ) 1 / 2 , b ) 1 / 4 , c ) 1 / 8 , d ) 1 / 16 , e ) 1 / 32",
... |
[
{
"content": "a fruit seller had some apples . he sells 40 % and still has 420 apples . originally , he had ?\n\nOptions:\na ) 588 apples , b ) 600 apples , c ) 672 apples , d ) 700 apples , e ) none",
"role": "user"
},
{
"content": "\"answer ∵ 60 % of n = 420 ∴ n = ( 420 x 100 ) / 60 = 700 correct ... |
[
{
"content": "the average age of students of a class is 15.8 years . the average age of boys in the class is 16.2 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is :\n\nOptions:\na ) 2 : 5 , b ) 2 : 3 , c ) 2 : 4 , d ) 1 : 1 , e ) 2 : 9",
"ro... |
[
{
"content": "a number is doubled and 9 is added . if resultant is trebled , it becomes 75 . what is that number\n\nOptions:\na ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 15",
"role": "user"
},
{
"content": "\"explanation : = > 3 ( 2 x + 9 ) = 75 = > 2 x + 9 = 25 = > x = 8 answer : option a\"",
"role"... |
[
{
"content": "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\n\nOptions:\na ) 40 % , b ) 50 % , c ) 65 % , d ) 71.4 % , e ) 75 %",
"role": "user"
},
{
"content": "\"number of runs made by running = 210 - ( 3 x ... |
[
{
"content": "( 112 x 5 ^ 4 ) = ?\n\nOptions:\na ) 70000 , b ) 80000 , c ) 90000 , d ) 90090 , e ) 100000",
"role": "user"
},
{
"content": "\"( 112 x 54 ) = 112 x 10 4 = 112 x 104 = 1120000 = 70000 2 24 16 a )\"",
"role": "assistant"
}
] |
[
{
"content": "x + ( 1 / x ) = 2 find x ^ 2 + ( 1 / x ^ 2 )\n\nOptions:\na ) 2 , b ) 3.25 , c ) 4.25 , d ) 5.25 , e ) 6.25",
"role": "user"
},
{
"content": "\"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\"",
"role": "assistant"
}
] |
[
{
"content": "what least no . must be subtracted from 427398 so that remaining no . is divisible by 15 ?\n\nOptions:\na ) 344545629 , b ) 723437481 , c ) 354595321 , d ) 964564944 , e ) 458449909",
"role": "user"
},
{
"content": "\"explanation : on dividing 427398 by 15 we get the remainder 3 , so 3... |
[
{
"content": "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 ?\n\nOptions:\na ) 1 / 6 , b ) 2 / 9 , c ) 6 / 11 , d ) 9 / 16 , e ) 3 / 4",
"role": "user"
},
{
"content": "\"# def... |
[
{
"content": "if a sum of money doubles itself in 15 years at simple interest , the ratepercent per annum is\n\nOptions:\na ) 12 , b ) 12.5 , c ) 6.67 , d ) 13.5 , e ) 14",
"role": "user"
},
{
"content": "\"explanation : let sum = x then simple interest = x rate = ( 100 * x ) / ( x * 15 ) = 6.67 opt... |
[
{
"content": "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 - cr... |
[
{
"content": "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 ?\n\nOptions:\na ) 50 km , b ) 58 km , c ) 60 km , d ) 70 km , e ) 40 km",
"role": "user"
},
{
"content": "\"let the actual distance traveled... |
[
{
"content": "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 ?\n\nOptions:\na ) 2 / 3 , b ) 5 / 6 , c ) 7 / 12 , d ) 11 / 12 , e ) 17 / 24",
"role": "user... |
[
{
"content": "find the area of trapezium whose parallel sides are 26 cm and 18 cm long , and the distance between them is 15 cm .\n\nOptions:\na ) 227 , b ) 299 , c ) 330 , d ) 161 , e ) 212",
"role": "user"
},
{
"content": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular d... |
[
{
"content": "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\n\nOptions:\na ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 90 kmph",
"role": "user"
},
{
"content": "\"speed of train relative to ... |
[
{
"content": "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 :\n\nOptions:\na ) 520 , b ) 620 , c ) 820 , d ) 740 , e ) 864",
"role": "user"
},
{
"content": "\"distance = ( 240 x 6 ) = 1440 km . sp... |
[
{
"content": "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 ?\n\nOptions:\na ) 22 , b ) 24 , c ) 26 , d ) 28 ,... |
[
{
"content": "the value of log 2 ( log 5625 ) is\n\nOptions:\na ) 2 , b ) 5 , c ) 10 , d ) 15 , e ) 20",
"role": "user"
},
{
"content": "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",
"role": "assist... |
[
{
"content": "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 ?\n\nOptions:\na ) 95 , b ) 90 , c )... |
[
{
"content": "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\n\nOptions:\na ) 52 kmph , b ) 56 kmph , c ) 60 kmph , d ) 62 kmph , e ) 72 kmph",
"role": "us... |
[
{
"content": "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 :\n\nOptions:\na ) 1 : 2 , b ) 3 : 5 , c ) 4 : 5 , d ) 16 : 15 , e ) none",
"role": "user"
},
{
"content": "\"solution for an ... |
[
{
"content": "average of 10 matches is 32 , how many runs one should should score to increase his average by 6 runs .\n\nOptions:\na ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 98 , e ) e ) 88",
"role": "user"
},
{
"content": "\"explanation : average after 11 innings should be 38 so , required scor... |
[
{
"content": "solve below question 2 x + 1 = - 23\n\nOptions:\na ) - 8 , b ) - 9 , c ) - 12 , d ) - 4 , e ) 12",
"role": "user"
},
{
"content": "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 = - 1... |
[
{
"content": "calculate 85184 ÷ ? = 352\n\nOptions:\na ) 241 , b ) 242 , c ) 244 , d ) 247 , e ) 240",
"role": "user"
},
{
"content": "\"answer let 85184 ÷ x = 242 then x = 85184 / 242 = 352 . option : b\"",
"role": "assistant"
}
] |
[
{
"content": "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 ... |
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