messages listlengths 2 2 |
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[
{
"content": "a reduction of 40 % in the price of apples would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?\n\nOptions:\na ) 1 , b ) 3 , c ) 6 , d ) 7 , e ) 10",
"role": "user"
},
{
"content": "\"b 40 * ( 40 / 100 ) = 16 - - - 64 ? - - - 12 = > rs . 3\"",
"role"... |
[
{
"content": "in a certain company , a third of the workers do not have a retirement plan . 60 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?\n\nOpt... |
[
{
"content": "a train 80 m in length crosses a telegraph post in 6 seconds . the speed of the train is ?\n\nOptions:\na ) 16 kmph , b ) 88 kmph , c ) 54 kmph , d ) 48 kmph , e ) 19 kmph",
"role": "user"
},
{
"content": "\"s = 80 / 6 * 18 / 5 = 48 kmph answer : d\"",
"role": "assistant"
}
] |
[
{
"content": "if there are 200 questions in a 3 hr examination . among these questions are 10 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ?\n\nOptions:\na ) 17.14286 min , b ) 62 min , c ) 70.1346 min ... |
[
{
"content": "in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 4 the number that used kennedy airport and 3 times the number that used logan airport , approximately ho... |
[
{
"content": "a batsman scored 150 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ?\n\nOptions:\na ) 45 ( 4 / 11 ) % , b ) 60 % , c ) 45 ( 5 / 11 ) % , d ) 44 ( 5 / 11 ) % , e ) none of these",
"role": "user"
},
{
"content": ... |
[
{
"content": "a man can row downstream at the rate of 12 km / hr and upstream at 8 km / hr . find man ' s rate in still water and the rate of current ?\n\nOptions:\na ) 9,6 , b ) 6,3 , c ) 9,3 , d ) 10,2 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : rate of still water = 1 / ... |
[
{
"content": "if 10 gallons of grape juice are added to 40 gallons of a mixture , which contains 10 percent grape juice then what percent of the resulting mixture is grape juice ?\n\nOptions:\na ) 14 % , b ) 25 % , c ) 28 % , d ) 34 % , e ) 50 %",
"role": "user"
},
{
"content": "\"mixture contains 4... |
[
{
"content": "a , band c can do a piece of work in 35 days , 20 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?\n\nOptions:\na ) 7 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 16 days",
"role": "user"
},
{
"content": ... |
[
{
"content": "how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 7 , and the digit 2 can be used only once ?\n\nOptions:\na ) 20 , b ) 150 , c ) 225 , d ) 300 , e ) 320",
"role": "user"
},
... |
[
{
"content": "a man invests some money partly in 12 % stock at 132 and partly in 10 % stock at 80 . to obtain equal dividends from both , he must invest the money in the ratio :\n\nOptions:\na ) 3 : 4 , b ) 3 : 5 , c ) 11 : 8 , d ) 16 : 15 , e ) none",
"role": "user"
},
{
"content": "\"solution for ... |
[
{
"content": "a work can be finished in 30 days by 30 women . the same work can be finished in fifteen days by 15 men . the ratio between the capacity of a man and a woman is\n\nOptions:\na ) 1 : 3 , b ) 4 : 3 , c ) 2 : 3 , d ) 4 : 1 , e ) 2 : 4",
"role": "user"
},
{
"content": "\"work done by 30 wo... |
[
{
"content": "gold is 11 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ?\n\nOptions:\na ) 3 : 2 , b ) 1 : 1 , c ) 3 : 1 , d ) 5 : 2 , e ) 4 : 3",
"role": "user"
},
{
"content": "\"g = 11 w c = 5 w let 1... |
[
{
"content": "a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 6 days . for how many number of days should a and c should work together to complete the remaining work ?\n\nOptions:\na ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5",
"role": "user"
},
{
"conte... |
[
{
"content": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 50 kmph its consumption is 1 litre per hour . if each litre costs $ 50 and other expenses per hous is $ 50 , then what would be the minimum expenditure required to cover a distance of... |
[
{
"content": "a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 25 % more recliners . what is the percentage increase of the gross ?\n\nOptions:\na ) 00 % , b ) 15 % , c ) 20 % , d ) 25 % , e ) 50 %",
"role": "user"
},
{
... |
[
{
"content": "in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 100 and the slope of line segment ac is 4 / 3 , what is the length of ab ?\n\nOptions:\na ) 12 , b ) 18 , c ) 24 , d ) 28 , e ) 80",
"role": "user"
},
{
"content": "slope = change in vertical directi... |
[
{
"content": "18 men shake hands with each other . maximum no of handshakes without cyclic handshakes .\n\nOptions:\na ) 190 , b ) 153 , c ) 210 , d ) 220 , e ) 230",
"role": "user"
},
{
"content": "\"1 st person will shake hand with 17 people 2 nd person will shake hand with 16 people 3 rd person w... |
[
{
"content": "last year the range of the annual yield on equal amount of investments in 100 mutual funds was $ 10000 . if the annual yield this year for each of the 100 mutual funds has improved by 15 percent this year than it was last year , what is the range of the annual yield on mutual funds this year ?\n\n... |
[
{
"content": "the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 21 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?\n\nOptions:\na ) 347.8 , b ) 987.8 , c ) 877.8 , d ) 898.8... |
[
{
"content": "two trains of equal lengths take 10 sec and 12 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?\n\nOptions:\na ) 11 , b ) 12 , c ) 10.9 , d ) 14 , e ) 15",
"role": "user"
},
{
"cont... |
[
{
"content": "the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 41 degrees . find the temperature on friday ?\n\nOptions:\na ) 65 degrees , b ) 73 degrees , c ) 37 degrees , d )... |
[
{
"content": "a shopkeeper sold 15 articles at the cost price of 20 articles . then find the profit % or lost %\n\nOptions:\na ) 30 % , b ) 31 % , c ) 20 % , d ) 33.33 % , e ) 40 %",
"role": "user"
},
{
"content": "\"here 15 articles selling price = 20 articles cost price so the difference = 20 - 15... |
[
{
"content": "what is the area of a square field whose sides have a length of 12 meters ?\n\nOptions:\na ) 225 sq m , b ) 126 sq m , c ) 144 sq m , d ) 267 sq m , e ) 231 sq m",
"role": "user"
},
{
"content": "\"12 * 12 = 144 sq m the answer is c .\"",
"role": "assistant"
}
] |
[
{
"content": "at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 15 of which were white and 15 of which were pink . the percentage of pink roses that w... |
[
{
"content": "a train 125 m long passes a man , running at 20 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?\n\nOptions:\na ) 36 , b ) 50 , c ) 28 , d ) 26 , e ) 65",
"role": "user"
},
{
"content": "\"speed of the train relative to man = ( 125... |
[
{
"content": "jacob is 18 years old . he is 2 times as old as his brother . how old will jacob be when he is twice as old ?\n\nOptions:\na ) 36 , b ) 38 , c ) 33 , d ) 32 , e ) 38",
"role": "user"
},
{
"content": "j = 18 ; j = 2 b ; b = 18 / 2 = 9 ; twice as old so b = 9 ( now ) + ( 9 ) = 18 ; jacob... |
[
{
"content": "excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 20 km / hr . for how many minutes does the bus stop per hour ?\n\nOptions:\na ) 22 , b ) 88 , c ) 77 , d ) 40 , e ) 99",
"role": "user"
},
{
"content": "\"in 1 hr , ... |
[
{
"content": "the sum of 5 th and 21 th term of a . p . is equal to the sum of 8 th , 15 th and 13 th term . find the term which is 0\n\nOptions:\na ) 11 , b ) 10 , c ) 12 , d ) 13 , e ) 14",
"role": "user"
},
{
"content": "\"t 5 + t 21 = t 8 + t 15 + t 13 = > a + 4 d + a + 20 d = a + 7 d + a + 14 d... |
[
{
"content": "if 40 men take 15 days to to complete a job , in how many days can 25 men finish that work ?\n\nOptions:\na ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28",
"role": "user"
},
{
"content": "ans . 24 days",
"role": "assistant"
}
] |
[
{
"content": "the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ?\n\nOptions:\na ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28",
"role": "user"
},
{
"content": "\"let the number of pens be 5 x and the number of pencils be 6 x . 6 x - 5 x = 4 x = 4 th... |
[
{
"content": "an error 6 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :\n\nOptions:\na ) 12.36 , b ) 8.36 , c ) 9.36 , d ) 10.36 , e ) 11.36",
"role": "user"
},
{
"content": "\"explanation : 100 cm is read as 106 cm . a 1 ... |
[
{
"content": "kamal obtained 81 , 68 , 82 , 69 and 90 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?\n\nOptions:\na ) 65 , b ) 69 , c ) 72 , d ) 75 , e ) none",
"role": "user"
},
{
"content": "\"sol . average = 81 + 68 + 82 + 69 + 90 / ... |
[
{
"content": "the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ?\n\nOptions:\na... |
[
{
"content": "a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . accor... |
[
{
"content": "in town x , 64 percent of the population are employed , and 42 percent of the population are employed males . what percent of the employed people in town x are females ?\n\nOptions:\na ) 16 % , b ) 25 % , c ) 32 % , d ) 34 % , e ) 52 %",
"role": "user"
},
{
"content": "\"we are asked t... |
[
{
"content": "david works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of t... |
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