messages listlengths 2 2 |
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[
{
"content": "on dividing 136 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?\n\nOptions:\na ) a ) 12 , b ) b ) 15 , c ) c ) 16 , d ) d ) 17 , e ) e ) 18",
"role": "user"
},
{
"content": "\"d = ( d - r ) / q = ( 136 - 1 ) / 9 = 135 / 9 = 15 b )\"",
"role": "assistant"... |
[
{
"content": "a 72 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?\n\nOptions:\na ) 8 , b ) 12 , c ) 18 , d ) 14 , e ) 16",
"role": "user"
},
{
"content": "\"amount of salt = 7.2 assume x ga... |
[
{
"content": "the radius of a cylindrical vessel is 9 cm and height is 3 cm . find the whole surface of the cylinder ?\n\nOptions:\na ) 308 sq cm , b ) 220 sq cm , c ) 440 sq cm , d ) 132 sq cm , e ) 678.8 sq cm",
"role": "user"
},
{
"content": "\"r = 9 h = 3 2 Ο r ( h + r ) = 2 * 22 / 7 * 9 ( 12 ) ... |
[
{
"content": "the simple interest on a sum of money will be rs . 600 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?\n\nOptions:\na ) 8981 , b ) 3799 , c ) 1200 , d ) 2693 , e ) 1732",
"role": "user"
},
{
"content": "\"p - - -... |
[
{
"content": "a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?\n\nOptions:\n['a ) $ 200', 'b ) $ 576'... |
[
{
"content": "what least number must be subtracted from 427751 so that remaining no . is divisible by 10\n\nOptions:\na ) 3 , b ) 1 , c ) 6 , d ) 8 , e ) 9",
"role": "user"
},
{
"content": "\"explanation : on dividing 427751 by 10 we get the remainder 1 , so 1 should be subtracted option b\"",
"... |
[
{
"content": "jim is able to sell a hand - carved statue for $ 660 which was a 20 % profit over his cost . how much did the statue originally cost him ?\n\nOptions:\na ) $ 496.30 , b ) $ 512.40 , c ) $ 550 , d ) $ 574.90 , e ) $ 588.20",
"role": "user"
},
{
"content": "\"cost price = 660 / 120 * 100... |
[
{
"content": "the minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time . how much does the clock gain or lose in 12 hours ?\n\nOptions:\na ) 27.273 seconds , b ) 29.273 seconds , c ) 37.273 seconds , d ) 47.273 seconds , e ) 17.273 seconds",
"role": "user"
},
{
"... |
[
{
"content": "students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio f of men to women ?\n\nOptions:\na ) 5 : 2 , b ) 5 : 1 , c ) 4 : 3 , d ) 4 : 1 , e ) 3 : 1",
"role": "user"
},
{
"content": "( a ) f = ... |
[
{
"content": "average monthly income of a family of 3 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ?\n\nOptions:\na ) rs . 692.80 , b ) rs . 905 , c ) rs . 990 , d ) rs . 1385 , e ) none",
"role": "user... |
[
{
"content": "a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 52000 , then the share of b is ?\n\nOptions:\na ) 2888 , b ) 24000 , c ) 27777 , d ) 29997 , e ) 27712",
"role": "user"
},
{
"content... |
[
{
"content": "a tank can supply water to a village for 20 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 15 days only . for how many days will the supply last if the leak drains out 20 liters per day ?\n\nOptions:\na ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 14",
"... |
[
{
"content": "31 of the scientists that attended a certain workshop were wolf prize laureates , and 14 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than t... |
[
{
"content": "a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction x of the selected films are in color ?\n\nOptions:\na ) 1 / 130 , b ) 1 / 5 , c ) 3 /... |
[
{
"content": "if the average ( arithmetic mean ) of x + 1 , x + 4 , and x + 7 is 0 , then x =\n\nOptions:\na ) β 4 , b ) β 3 , c ) β 2 , d ) β 1 , e ) 0",
"role": "user"
},
{
"content": "\"( x + 1 + x + 4 + x + 7 ) / 3 = 0 = > 3 x + 12 = 0 = > x = - 4 answer a\"",
"role": "assistant"
}
] |
[
{
"content": "for how many integers pair ( x , y ) satisfies the result ( 1 / x ) + ( ( 1 / y ) = 1 / 16\n\nOptions:\na ) a ) 12 , b ) b ) 6 , c ) c ) 10 , d ) d ) 16 , e ) e ) 19",
"role": "user"
},
{
"content": "it seems that the accepted answer is wrong , according to wolframalpha . the answer sh... |
[
{
"content": "of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ?\n\nOptions:\na ) 5 / 9 , b ) 3 / 15 , c ) 23 / 45 , d ) 43 / 60 , e ) 53... |
[
{
"content": "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 ?\n\nOptions:\n['a ) 1 : 1', 'b ) 2 : 1', 'c ) 3 : 1', 'd ) 5 : 3', 'e ) 8 : 3']",
"role": "user"
},
{
"content": "let ' s join the midpoi... |
[
{
"content": "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 , ... |
[
{
"content": "a dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg , what is his percent ?\n\nOptions:\na ) 28 % , b ) 66.7 % , c ) 55 % , d ) 28 % , e ) 55 %",
"role": "user"
},
{
"content": "\"600 - - - 400 100 - - - ? = > 66.7 % answer : b\"",
"ro... |
[
{
"content": "15 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?\n\nOptions:\na ) 55 days , b ) 18.75 days , c ) 20 days , d ) 88 days , e ) 44 days",
"role": "user"
},
{
"content": "\"15 * 25 = 20 * x = > x = 18.75 days answer : b\"",
"rol... |
[
{
"content": "if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 23 ?\n\nOptions:\na ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5",
"role": "user"
},
{
"content": "\"there are several algebraic ways to solve this question including the one under the spoiler . but the easie... |
[
{
"content": "the sum of all solutions for x in the equation x ^ 2 β 8 x + 21 = | x β 2 | + 5 is equal to :\n\nOptions:\na ) β 7 , b ) 7 , c ) 10 , d ) 12 , e ) 18",
"role": "user"
},
{
"content": "\"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... |
[
{
"content": "80 is what percent of 160 ?\n\nOptions:\na ) 35 % , b ) 40 % , c ) 45 % , d ) 50 % , e ) 55 %",
"role": "user"
},
{
"content": "80 / 160 Γ 100 = 50 % answer : d",
"role": "assistant"
}
] |
[
{
"content": "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 ?\n\nOptio... |
[
{
"content": "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 ?\n\nOptions:\na ) 150 m , b ) 350 m , c ) 420 m , d ) 600 m , e ) 700 m",
"role": "user"
},
{
"content": "explanation : length of the train = distance cov... |
[
{
"content": "what is the remainder when 1034 * 1047 * 1050 * 1053 is divided by 33 ?\n\nOptions:\na ) 0 , b ) 27 , c ) 30 , d ) 21 , e ) 18",
"role": "user"
},
{
"content": "\"take the remainder from each of 1034 / 33 , 1047 / 33 and so on . . 1034 / 33 gives remainder = 11 1047 / 33 gives remainde... |
[
{
"content": "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 ?\n\nOptions:\na ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 26",
"role": "user"
},
{
"content": "\"let the required number of days be x . less perso... |
[
{
"content": "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 ?\n\nOptions:\na ) 1 / 12 , b ) 6 / 15 , c ) 1 / 6 , d ) 1 / 3 , e ) 1 / 5",... |
[
{
"content": "1 / 0.04 is equal to\n\nOptions:\na ) 25.5 , b ) 2.5 , c ) 25 , d ) . 25 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : 1 / 0.04 = ( 1 * 100 ) / 4 = 100 / 4 = 25 option c\"",
"role": "assistant"
}
] |
[
{
"content": "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 ?\n\nOptions:\na ) $ 198 , b ) $ 216 , c ) $ 220 ... |
[
{
"content": "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\nOptions:\na ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 29 / 46 , e ) 3 / 4",
"role": "user"
},
{
"content": "\"n ( n + 1 ) ( n + 2... |
[
{
"content": "on dividing a number by 56 , we get 27 as remainder . on dividing the same number by 8 , what will be the remainder ?\n\nOptions:\na ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6",
"role": "user"
},
{
"content": "\"number = 56 x + 27 ( β΅ since the number gives 27 as remainder on dividing by 56 )... |
[
{
"content": "what sum of money will produce rs . 90 as simple interest in 4 years at 3 1 / 2 percent ?\n\nOptions:\na ) 263 , b ) 500 , c ) 367 , d ) 642.9 , e ) 339",
"role": "user"
},
{
"content": "\"90 = ( p * 4 * 7 / 2 ) / 100 p = 642.9 answer : d\"",
"role": "assistant"
}
] |
[
{
"content": "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 .\n\nOptions:\na ) rs . 4800 , b ) rs . 2400 , c ) rs . 3600 , d ) rs . 5600 , e ) none of these",
"role": "user"
},
{
"content": "expl... |
[
{
"content": "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 ?\n\nOptions:\na ) 3 : 4 , b ) 4 : 3 , c ) 9 : 7 , d ) 7 : 9 , e ) 8 : 1",
... |
[
{
"content": "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 ?\n\nOptions:... |
[
{
"content": "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 th... |
[
{
"content": "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 ?\n\nOptions:\na ) 2288 , b ) 2779 , c ) 3300 , d ) 3900 ,... |
[
{
"content": "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 ?\n\nOptions:\na ) 75 , b ) 80 , c ) 90 , d ) 95 , e ) 100",
"role": "user"
},
{
"content": "\"we have , m 1 d 1 = m 2 d 2 1200 * 50 = 600 * d 2 d 2 = 120... |
[
{
"content": "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 ?\n\nOptions:\na ) 1 / 4 , b ) 2 / 5 , c ) 1 / 2 , d ) 3 / 5 , e ) 2 / 3",
"role": "... |
[
{
"content": "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 ?\n\nOptions:\na ) a ) 250 , b ) b ) 249 , c ) c ) 248 , d ) d ) 247 , e ) e ) 246",
"role": "user"
},
{
"content": "\"a + b + c = 300 a + c = 200 b + c = 350 - - - - - -... |
[
{
"content": "united telephone charges a base rate of $ 7.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the sam... |
[
{
"content": "there are 50 students in a class . if 12 % are absent on a particular day , find the number of students present in the class .\n\nOptions:\na ) 43 , b ) 36 , c ) 28 , d ) 129 , e ) 44",
"role": "user"
},
{
"content": "\"number of students absent on a particular day = 12 % of 50 i . e .... |
[
{
"content": "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 ?\n\nOptions:\na ) 6 , b ) 12 , c ) 14 , d ) 24 , e ) 28",
"role": "user"
},
{
"content": "\"equate the fat : 0.1 x + 0.5... |
[
{
"content": "can c and can Π² 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 b... |
[
{
"content": "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 ?\n\nOptions:\na ) 11 , b ) 10 , c ) 12 , d ) 14 , e ) 16",
"role": "user"
},
{
"conten... |
[
{
"content": "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 ?\n\nOptions:\na ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 15",
"role": "user"
},
{
"content": "given that , six years ago , the rat... |
[
{
"content": "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 .\n\nOptions:\na ) 4.25 hr , b ) 3.8 hr , c ) 8.25 hr , d ) 2.25 hr , e ) 2.50 hr",
"role": "user"
},
{
"content": "\"speed of ... |
[
{
"content": "if 60 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ?\n\nOptions:\na ) 50 % , b ) 44.4 % , c ) 22.2 % , d ) 33.3 % , e ) 25 %",
"role": "user"
},
{
"content": "\"60 % of ( x - y ) = 20 % of ( x + y ) 60 / 100 ( x - y ) = 20 / 100 ( x + y ) 4 x = 8 y required percenta... |
[
{
"content": "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 .\n\nOptions:\na ) 25 , b ) 50 , c ) 75 , d ) 80 , e ) none of them",
"role": "user"
},
{
"con... |
[
{
"content": "how many even integers n , such that 20 < = n < = 220 are of the form 3 k + 4 , where k is any natural number ?\n\nOptions:\na ) 28 , b ) 31 , c ) 34 , d ) 37 , e ) 40",
"role": "user"
},
{
"content": "\"the first number is 22 = 16 + 6 ( 1 ) . we can continue adding 6 to make a list : ... |
[
{
"content": "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 ) ?\n\nOptions:\na ) 3.9 , b ) 4.2 , c ) 4.5 , d ) 4.8 , e ) 5.1",
"role": "user"
},
{
"content": "the t... |
[
{
"content": "an inspector rejects 10 % of the meters as defective . how many will he examine to reject 12 ?\n\nOptions:\na ) a ) 100 , b ) b ) 120 , c ) c ) 250 , d ) d ) 200 , e ) e ) 160",
"role": "user"
},
{
"content": "\"then , 10 % of x = 12 ( 10 / 100 ) x = 12 x = ( 12 * 100 * ) / 10 = 120 an... |
[
{
"content": "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 ?\n\nOptions:\na ) 2 % , b ) 7 % , c ) 14... |
[
{
"content": "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 ?\n\nOptions:\na ) 4 % , b ) 25 % , c ) 50 % , d ) 200 % , e ) 400 %",
"role": "user"
},
{
"content": "\"let x be the original length of one sid... |
[
{
"content": "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 ?\n\nOptions:\na ) 11 : 5 , b ) 3 : 1 , c ) 13 : 7 , d ) 15 : 7 , e ) 16 : 9",
"... |
[
{
"content": "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 ?\n\nOptions:\na ) 48 , b ) 32 , c ) 24 , d ) 18 , e ) 64",
"role": "user"
},
{
"content": "\"for example our cube have a side 1 meter , so we have 1 cubical met... |
[
{
"content": "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 ?\n\nOptions:\na ) 80 , b ) 110 , c ) 160 , d ) 200 , e ) 400",
"role": "user"
},... |
[
{
"content": "how many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long\n\nOptions:\na ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70",
"role": "user"
},
{
"content": "explanation : we need so simple divide 42.5 / 0.85 , = ( 4250 / 85 ) = 50 option c",
"role": "assistant"
}
] |
[
{
"content": "ratio between rahul and deepak is 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age .\n\nOptions:\na ) 14 , b ) 15 , c ) 8 , d ) 22 , e ) 24",
"role": "user"
},
{
"content": "\"explanation : present age is 5 x and 2 x , = > 5 x + 6 = 26 = > x = 4 so deepak a... |
[
{
"content": "in what time will a train 400 m long cross an electric pole , it its speed be 144 km / hr ?\n\nOptions:\na ) 2.5 sec , b ) 12.9 sec , c ) 11.3 sec , d ) 21.9 sec , e ) 10.0 sec",
"role": "user"
},
{
"content": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 400 / 40 = 10.0 sec . answ... |
[
{
"content": "set a consists of all the prime numbers between 62 and 85 . what is the range of set a ?\n\nOptions:\na ) 12 , b ) 13 , c ) 16.6 , d ) 16 , e ) 23",
"role": "user"
},
{
"content": "the range of a set of data is the difference between the highest and lowest values in the set in this set... |
[
{
"content": "a fruit seller had some apples . he sells 60 % apples and still has 300 apples . originally , he had :\n\nOptions:\na ) 656 apples , b ) 700 apples , c ) 750 apples , d ) 780 apples , e ) 800 apples",
"role": "user"
},
{
"content": "\"a fruit seller had some apples . he sells 60 % appl... |
[
{
"content": "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 ) ?\n\nOptions:\na ) w = 350 , b ) w = 353 , c ) w = ... |
[
{
"content": "a candidate got 35 % of the votes and lost to the rival by 1650 votes . how many votes were cast ?\n\nOptions:\na ) 5000 , b ) 5500 , c ) 6000 , d ) 6500 , e ) 7000",
"role": "user"
},
{
"content": "\"35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - -... |
[
{
"content": "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... |
[
{
"content": "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 . ?\n\nOptions:\na ) 16 , b ) 12 , c ) 10 , d ) 20 , e ) 10",
"role": "user"
},
{
"content": "\"( a + b ) - ( b - c ) = 10 a - c = 10 answer is c\"",
"role": "assistant"
}... |
[
{
"content": "if the area of a circle is 25 pi square feet , find its circumference .\n\nOptions:\na ) 10 pi feet , b ) 28 pi feet , c ) 38 pi feet , d ) 48 pi feet , e ) 58 pi feet",
"role": "user"
},
{
"content": "\"the area is given by pi * r * r . hence pi * r * r = 25 pi r * r = 25 ; hence r = ... |
[
{
"content": "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 ?\n\nOptions:\na ) 82 , b ) 17 , c ) 14 , d ) 82 , e ) 18",
"role": "user"
},
{
"content": "\"explanation : t = 16 / 67 * 60 = 14 answer : opti... |
[
{
"content": "the sides of a square region , measured to the nearest centimeter , are 9 centimeters long . the least possible value of the actual area of the square region is\n\nOptions:\na ) 60.25 sq cm , b ) 66.25 sq cm , c ) 56.25 sq cm , d ) 72.25 sq cm , e ) 58.25 sq cm",
"role": "user"
},
{
"c... |
[
{
"content": "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 ?\n\nOptions:\na ) 12 , b ) 42 , c ) 64 , d ) 96 , e ) 84",
"role": "user"
},
{
"content": "\"explanation : average after 9 innings = 32 ... |
[
{
"content": "if jack walked 4 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?\n\nOptions:\na ) 3.2 , b ) 4.5 , c ) 6 , d ) 6.25 , e ) 15",
"role": "user"
},
{
"content": "distance walked in 1 hour and 15 mins = 4 miles speed per hour = distance / time = 4 / ( 5 / 4... |
[
{
"content": "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 Π² 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 c... |
[
{
"content": "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 :\n\nOptions:\na ) 251 , b ) 253 , c ) 255 , d ) 257 , e ) 260",
"role": "user"
},
{
"content": "\"let... |
[
{
"content": "how many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph ?\n\nOptions:\na ) 6 sec , b ) 7.5 sec , c ) 8 sec , d ) 3 sec , e ) 10 sec",
"role": "user"
},
{
"content": "\"d = 110 + 165 = 275 s = 132 * 5 / 18 = 11... |
[
{
"content": "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\n\nOptions:\na ) 11 : 9 , b ) 13 : 9 , c ) 17 : 9 , d ) 21 : 9 , e ) none of these",
"role": "us... |
[
{
"content": "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 ?\n\nOptions:\na ) 14.4 , b ) 180 / 7 , c ) 50.4 , d ) 64.8 , e ) 90",
"role": "user"
},
{
"content": "\"50 % of area of the floor = 4 * 9 square feet ... |
[
{
"content": "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\n\nOptions:\na ) 14 : 13 , b ) 13 : 15 , c ) 12 : 13 , d ) 13 : 12 , e ) 14 : 15",
"role": "user"
},
{
"content": "work don... |
[
{
"content": "if 213 Γ 16 = 3408 , then 1.6 Γ 213.0 is equal to :\n\nOptions:\na ) 0.3408 , b ) 3.408 , c ) 34.08 , d ) 340.8 , e ) none of these",
"role": "user"
},
{
"content": "solution 1.6 Γ 21.3 = ( 16 / 10 x 213 ) = ( 16 x 213 / 10 ) = 3408 / 10 = 340.8 . answer d",
"role": "assistant"
}... |
[
{
"content": "a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds . its length is\n\nOptions:\na ) 100 , b ) 120 , c ) 130 , d ) 150 , e ) 140",
"role": "user"
},
{
"content": "\"let the length of the train be x meters and its speed be y m / sec . they , x / y = 15 = > y... |
[
{
"content": "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 ?\n\nOptions:\na ) 512 , b ) 1024 , c ) 768 , d ) 2048 , e ) 4096",
"role": "user"
},
{
"content": "\"9 days ago - 2 ... |
[
{
"content": "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 ?\n\nOptions:\na ) 200 , b ) 210 , c ) 220 , d ) 230 , e ) 240",
"role": "user"
},
{
"content": "\"other number = ( 15 * 3300 ) / 225 = 220 . answer : c\"",
"role": "as... |
[
{
"content": "a bag marked at $ 80 is sold for $ 68 . the rate of discount is ?\n\nOptions:\na ) 10 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 30 %",
"role": "user"
},
{
"content": "\"rate of discount = 12 / 80 * 100 = 15 % answer is b\"",
"role": "assistant"
}
] |
[
{
"content": "{ 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 ?\n\nOptions:\na ) 5 , b ) 7 , c ) 15 , d ) 12 , e ) 13",
"role": "user"
},
{
"content": "median is the middle number of a sorted distribution . in case of... |
[
{
"content": "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 ?\n\nOptions:\n['a ) 4', 'b ) 8', 'c ) 12', 'd ) 16', 'e ) 20']",
"role": "user"
},
{
"content": "area of the square = 8 x 8 = 64 let... |
[
{
"content": "the cost price of 7 articles is equal to the selling price of 5 articles . what is the profit percent ?\n\nOptions:\na ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %",
"role": "user"
},
{
"content": "\"5 * sp = 7 * cp sp = 1.4 * cp the profit percent is 40 % . the answer is d .\"",... |
[
{
"content": "in a kilometer race , a beats b by 20 meters or 10 seconds . what time does a take to complete the race ?\n\nOptions:\na ) 290 sec , b ) 190 sec , c ) 199 sec , d ) 192 sec , e ) 490 sec",
"role": "user"
},
{
"content": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 20 = 500 sec ... |
[
{
"content": "a positive number when decreased by 4 is equal to 21 times the reciprocal of the number . the number is\n\nOptions:\na ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 12",
"role": "user"
},
{
"content": "\"sol . let the numbers be x . then , x - 4 = 21 / x β x 2 - 4 x - 21 = 0 β ( x - 7 ) ( x + 3 ) ... |
[
{
"content": "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 ?\n\nOptions:\na ) 72.5 , b ) 55.5 , c ) 62.5 , d ) 82.5 , e ) 60.5",
"role": "user"
},
{
"content": "\"c $ 62.50 cp = 47.50... |
[
{
"content": "a car consumes 210 liters of petrol weekly . for how many days will 1470 liters of petrol be sufficient ?\n\nOptions:\na ) 38 , b ) 20 , c ) 28 , d ) 49 , e ) 10",
"role": "user"
},
{
"content": "explanation : no explanation is available for this question ! answer : d",
"role": "as... |
[
{
"content": "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 ?\n\nOptions:\na ) 22.15 % , b ) 23.5 % , c ) 24.3 % , d ) 25 % , ... |
[
{
"content": "the sum of two consecutive integers is 61 . find the numbers .\n\nOptions:\na ) 17 , 18 , b ) 30,31 , c ) 5 , 6 , d ) 1 , 2 , e ) 8 , 9",
"role": "user"
},
{
"content": "\"n + ( n + 1 ) = 61 2 n + 1 = 61 2 n = 60 n = 30 answer : b\"",
"role": "assistant"
}
] |
[
{
"content": "cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?\n\nOptions:\n['a ) 5 m', 'b ) 12 m', 'c ) 6 m', 'd ) 8 m', 'e ) 10 m']",
"role": "user"
},
{
"content": "height of the cuboid = volume * base area = 144 / 18 = 8 metre answer is option d... |
[
{
"content": "how many positive even integers less than 100 contain digits 7 or 9 ?\n\nOptions:\na ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 10",
"role": "user"
},
{
"content": "\"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 ,... |
[
{
"content": "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 ?\n\nOptions:\na ) 650 , b ) 250 , c ) 150 , d ) 100 , e ) 400",
"role": "user"
},
{
"content": "\... |
[
{
"content": "if anangletis defined as 1 percent of 1 degree , then how many anglets are there in one half circle ?\n\nOptions:\na ) 0.36 , b ) 3.6 , c ) 360 , d ) 18,000 , e ) 36,000",
"role": "user"
},
{
"content": "\"1 degree * 1 / 100 = 1 anglet so 1 degree = 100 anglets = > 180 degrees = 18,000... |
[
{
"content": "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 ?\n\nOptions:\na ) 72 kmph , b ) 60 kmph , c ) 30 kmph , d ) 80 kmph , e ) 82 kmph",
"role": "user"
},
{
"content": "\"s = ( 80 + 40 ) / 2 = 60 kmph answer : b\"",
"rol... |
[
{
"content": "two trains 200 m and 250 m long run at the speed of 72 kmph and 18 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?\n\nOptions:\na ) 5.6 sec , b ) 8.9 sec , c ) 10.8 sec , d ) 12.6 sec , e ) 18 sec",
"role": "user"
},
{
"content": "\"re... |
[
{
"content": "the β length of integer x β 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 Γ 2 Γ 3 Γ 5 . ) what is the greatest possible length of integer z if z < 3000 ?\n\nOptions:\na ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15"... |
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