messages listlengths 2 2 |
|---|
[
{
"content": "two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer e between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?\n\nOptions:\na ) 12 , b... |
[
{
"content": "when asked what the time is , a person answered that the amount of time left is 3 / 5 of the time already completed . what is the time .\n\nOptions:\na ) 2 pm , b ) 9 pm , c ) 3 pm , d ) 8 pm , e ) 6 pm",
"role": "user"
},
{
"content": "\"a day has 24 hrs . assume x hours have passed .... |
[
{
"content": "a man buys a cycle for rs . 1750 and sells it at a loss of 8 % . what is the selling price of the cycle ?\n\nOptions:\na ) s . 1090 , b ) s . 1610 , c ) s . 1190 , d ) s . 1202 , e ) s . 1092",
"role": "user"
},
{
"content": "\"s . p . = 92 % of rs . 1750 = rs . 92 x 1750 / 100 = rs . ... |
[
{
"content": "a man can swim in still water at 15 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?\n\nOptions:\na ) 3.9 , b ) 5 , c ) 5.3 , d ) 1.5 , e ) 5.2",
"role": "user"
},
{
"content": "\"m = 15 s = x ds = 15 + x us = 15 - x 15 + x = ( 15 - x ) 2... |
[
{
"content": "in a school of 600 students , 45 % wear blue shirts , 23 % wear red shirts , 15 % wear green shirts , and the remaining students wear other colors . how many students wear other colors ( not blue , not red , not green ) ?\n\nOptions:\na ) 102 , b ) 112 , c ) 122 , d ) 132 , e ) 142",
"role": "... |
[
{
"content": "find number which is 60 % less than 80 .\n\nOptions:\na ) 18 , b ) 32 , c ) 28 , d ) 26 , e ) 98",
"role": "user"
},
{
"content": "\"explanation : 60 % less is 40 % of the given number therefore , 40 % of 80 is 32 . answer : b\"",
"role": "assistant"
}
] |
[
{
"content": "a 60 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?\n\nOptions:\na ) a ) 73 , b ) b ) 20 , c ) c ) 83 , d ) d ) 17.1 , e ) e ) 52",
"role": "user"
},
{
"content": "\"explanation : 1 : 2 / 5 = ... |
[
{
"content": "a jar contains only red , yellow , and orange marbles . if there are 1 red , 5 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ?\n\nOptions:\na ) 1 /... |
[
{
"content": "in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 70 percent of the republicans and 25 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vo... |
[
{
"content": "the market value of a certain machine decreased by 30 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 10,000 , what was its market value two years later ?\n\nOptions:\na ) $ 8,000 , b ) $ 4,000 , c ) $ 3,200 , d ) $ 2,400 , e ) $ 800",
"... |
[
{
"content": "a sum of money at simple interest amount to rs 720 after 2 years and to rs 1020 after a further period of 5 years . the sum is :\n\nOptions:\na ) 600 , b ) 450 , c ) 650 , d ) 500 , e ) 550",
"role": "user"
},
{
"content": "simple interest for 5 year = rs . ( 1020 - 720 ) = rs . 300 . ... |
[
{
"content": "how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 45 percent butterfat to obtain milk that is 20 percent butterfat ?\n\nOptions:\na ) 6 , b ) 12 , c ) 14 , d ) 16 , e ) 20",
"role": "user"
},
{
"content": "equate the fat : 0.1 x + 0.45 ... |
[
{
"content": "lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 16 more photos than claire . how many photos has claire taken ?\n\nOptions:\na ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14",
"role": "user"
},
{
"... |
[
{
"content": "the price of lunch for 10 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ?\n\nOptions:\na ) 11.73 , b ) 12 , c ) 13.8 , d ) 14 , e ) 18",
"role": "user"
},
{
"content": "clearly e is the answer i used poe here let... |
[
{
"content": "martin buys a pencil and a notebook for 80 cents . at the same store , gloria buys a notebook and an eraser for 85 cents , and zachary buys a pencil and an eraser for 45 cents . how many cents would it cost to buy 3 pencils , 3 notebooks , and 3 erasers ? ( assume that there is no volume discount ... |
[
{
"content": "there are 100 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of manager to 98 % ?\n\nOptions:\na ) 1 , b ) 2 , c ) 50 , d ) 49 , e ) 97",
"role": "user"
},
{
"content": "\"we have 99 managers and 1 director . that 1 director... |
[
{
"content": "two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 60 kmph , find the rate at which the train b runs .\n\nOptions:\na ) 40 , b ) 60 , c ) 120 , d ) 90 , e... |
[
{
"content": "ana climbs up stairs 20 floors building and back . she takes the exact same route both ways . on the trip up she climbs an average speed of 2 steps per second . on the trip back she climbs down at an average speed of 4 steps per second . what is her approximate average speed for the round trip in ... |
[
{
"content": "a and b start a business , with a investing the total capital of rs . 50000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 1500 per month from the total profit and any profit remaining is equally shared by both of th... |
[
{
"content": "jaclyn buys $ 40 000 worth of debentures in a company . she earns 9.5 % p . a . simple interest , paid to her quarterly ( that is , every 3 months ) . if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter\n\nOptions:\na ) 950 , b )... |
[
{
"content": "bob wants to run a mile in the same time as his sister . if bob β s time for a mile is currently 10 minutes 20 seconds and his sister β s time is currently 9 minutes 36 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?\n\nOptions:\na )... |
[
{
"content": "in a company , 48 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?\n\nOptions:\na ) 85 % , b ) 80 % , c ) 75 % , d ) 70 % , e ) 65 %",
"role": "user"
},
{
"content": "... |
[
{
"content": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 10092 sq . m , the cost of fencing the field @ 25 paise per metre is\n\nOptions:\na ) rs . 55.50 , b ) rs . 67.50 , c ) rs . 86.50 , d ) rs . 101.50 , e ) none of these",
"role": "user"
},
{
"content"... |
[
{
"content": "7 people average age is 30 . youngest person age is 7 . find average of the people when youngest was born .\n\nOptions:\na ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27",
"role": "user"
},
{
"content": "\"average age of people = 30 so have total age = 210 before 7 years we have to deduct ea... |
[
{
"content": "it is currently 7 : 16 pm . at what time in the morning was it exactly 19,443 minutes earlier ?\n\nOptions:\na ) 7 : 11 , b ) 7 : 13 , c ) 7 : 17 , d ) 7 : 19 , e ) 7 : 21",
"role": "user"
},
{
"content": "converting 19,443 minutes to hours , we get 19,443 / 60 = 324 r 3 ; that is 324 ... |
[
{
"content": "in a renowned city , the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day .\n\nOptions:\na ) 129,500 , b ) 129,600 , c ) 129,700 , d ) 129,800 , e ) 129,900",
"role": "use... |
[
{
"content": "the ratio of the present age of two brothers is 1 : 2 and 5 years back , the ratio was 1 : 3 . what will be the ratio of their ages after 5 years ?\n\nOptions:\na ) 3 : 9 , b ) 3 : 0 , c ) 3 : 5 , d ) 3 : 2 , e ) 3 : 1",
"role": "user"
},
{
"content": "let the present ages of the two b... |
[
{
"content": "population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 30 % , then find the population of city atthe end of the year 2007\n\nOptions:\na ) 976374 , b ) 971750 , c ) 980241 , d ) 2356677 , e ) ... |
[
{
"content": "the speed of a railway engine is 84 km per hour when no compartment is attached , and the reduction in speed is directly proportional to the square root of the number of compartments attached . if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached , th... |
[
{
"content": "a train running at the speed of 54 km / hr crosses a pole in 9 sec . what is the length of the train ?\n\nOptions:\na ) 288 , b ) 279 , c ) 135 , d ) 272 , e ) 150",
"role": "user"
},
{
"content": "\"speed = 54 * 5 / 18 = 15 m / sec length of the train = speed * time = 15 * 9 = 135 m a... |
[
{
"content": "a and b invests rs . 4000 and rs . 6000 in a business . after 4 months , a withdraws three - fourth of his capital and 4 months later , b withdraws half of his capital . in what ratio should they share the profits at the end of the year ?\n\nOptions:\na ) 2 : 5 , b ) 3 : 5 , c ) 4 : 5 , d ) 3 : 7 ... |
[
{
"content": "if x is an integer such that 1 < x < 9 , 2 < x < 15 , 7 > x > β 1 , 4 > x > 0 , and x + 1 < 5 , then x is\n\nOptions:\na ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "\"1 < x < 9 , 2 < x < 15 , - 1 < x < 7 0 < x < 4 x + 1 < 5 from above : 2 < x < 4 - - > x = 3 .... |
[
{
"content": "the radius of a wheel is 25.4 cm . what is the distance covered by the wheel in making 500 resolutions ?\n\nOptions:\na ) 724 m , b ) 798.3 m , c ) 287 m , d ) 278 m , e ) 927 m",
"role": "user"
},
{
"content": "\"in one resolution , the distance covered by the wheel is its own circumf... |
[
{
"content": "a can do a piece of work 30 days . b can do work in 55 days . in how many days they will complete the work together ?\n\nOptions:\na ) 15 days , b ) 16 days , c ) 19.4 days , d ) 17.2 days , e ) 18 days",
"role": "user"
},
{
"content": "\"lcm = 330 , ratio = 30 : 45 = 6 : 11 no of days... |
[
{
"content": "a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 36 . by how many more dollars does he need to increase the price to achieve a 100 % markup ?\n\nOptions:\na ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10",
"role": "user"
},
{
"content": "let x be the wholesa... |
[
{
"content": "what is the remainder when 46 * 49 is divided by 8 ?\n\nOptions:\na ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "\"we can make use of the rule : remainder of { ( a * b ) / n } } = remainder of ( a / n ) * remainder of ( b / n ) here remainder of { 46 * 49 ) / 8... |
[
{
"content": "x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 40,000 , the amount invested by y is ?\n\nOptions:\na ) 60229 , b ) 62887 , c ) 60000 , d ) 61298 , e ) 61291",
"role": "user"
},
{
"content": "\"suppose y invested rs... |
[
{
"content": "what is the next number : 3 , 18 , 258 , __\n\nOptions:\na ) 2928 , b ) 3638 , c ) 4098 , d ) 4418 , e ) 5378",
"role": "user"
},
{
"content": "\"4 ^ 0 + 2 = 3 4 ^ 2 + 2 = 18 4 ^ 4 + 2 = 258 4 ^ 6 + 2 = 4098 the answer is c .\"",
"role": "assistant"
}
] |
[
{
"content": "how many 4 - digit positive integers are there , where each digit is positive , and no 3 adjacent digits are same ?\n\nOptions:\na ) 1236 , b ) 3528 , c ) 4096 , d ) 4608 , e ) 6561",
"role": "user"
},
{
"content": "first digit . . 9 posibilities second digit , 8 possibilities third di... |
[
{
"content": "if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 13 is divided by 41 ?\n\nOptions:\na ) 3 , b ) 18 , c ) 6 , d ) 16 , e ) 5",
"role": "user"
},
{
"content": "\"x can be written as 82 k + 5 or x = 5 , 87,169 , etc . x + 13 = 82 k + 5 + 13 = 82 k... |
[
{
"content": "what is the smallest positive perfect square that is divisible by 9 , 15 , and 25 ?\n\nOptions:\na ) 100 , b ) 225 , c ) 900 , d ) 1,600 , e ) 4,900",
"role": "user"
},
{
"content": "\"the number needs to be divisible by 3 ^ 2 , 3 * 5 , and 5 ^ 2 . the smallest such perfect square is 3... |
[
{
"content": "ashis ' s height is 25 % more than babji , by how much percent babji ' s height is less than ashis .\n\nOptions:\na ) 30 % , b ) 25 % , c ) 75 % , d ) 20 % , e ) none of these",
"role": "user"
},
{
"content": "explanation : solution : babji is less than ashis by ( 25 / ( 100 + 25 ) * 1... |
[
{
"content": "how many integers from 10 to 180 , inclusive , are divisible by 3 but not divisible by 7 ?\n\nOptions:\na ) 45 , b ) 49 , c ) 50 , d ) 52 , e ) 56",
"role": "user"
},
{
"content": "\"we should find # of integers divisible by 3 but not by 3 * 7 = 21 . # of multiples of 21 in the range f... |
[
{
"content": "a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 3600 interest . the principal amount borrowed by him was .\n\nOptions:\na ) rs 10000 , b ) rs 15000 , c ) rs 16000 , d ) rs 17000 , e ) none of these",
"role": "user"
},
{
"content": "\"explanatio... |
[
{
"content": "if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by :\n\nOptions:\na ) 6 , b ) 12 , c ) 24 , d ) 6 only , e ) 6 and 12 both",
"role": "user"
},
{
"content": "explanation : ( 6 n ^ 2 + 6 n ) = 6 n ( n + 1 ) , which is always divisible by 6 and 12 both , since n ( n ... |
[
{
"content": "find the least number that must be subtracted from 1387 so that the remaining number is divisible by 15 .\n\nOptions:\na ) 1 , b ) 5 , c ) 7 , d ) 9 , e ) 13",
"role": "user"
},
{
"content": "on dividing 1387 by 15 we get the remainder 7 , so 7 should be subtracted . the answer is c ."... |
[
{
"content": "a person can swim in still water at 20 km / h . if the speed of water 12 km / h , how many hours will the man take to swim back against the current for 40 km ?\n\nOptions:\na ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "\"m = 20 s = 12 us = 20 - 12 = 8 d = 40 t... |
[
{
"content": "out of 3 consecutive odd numbers 8 times the first number is equal to addition of thrice the third number and adding 5 to twice the second . what is the first number ?\n\nOptions:\na ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9",
"role": "user"
},
{
"content": "description : = > 8 x = 2 ( x + 2... |
[
{
"content": "find 12 Γ Γ 19\n\nOptions:\na ) 238 , b ) 228 , c ) 208 , d ) 277 , e ) 101",
"role": "user"
},
{
"content": "\"mentally imagine this number as ( 10 + 2 ) Γ Γ 19 = 190 + 38 = 228 . answer : b\"",
"role": "assistant"
}
] |
[
{
"content": "a train is moving at a speed of 100 km / hour . the length of the train is 100 metre . in how much time will it cross a pole ?\n\nOptions:\na ) 1 second , b ) 2.5 second , c ) 4 second , d ) 3.6 second , e ) 4.5 second",
"role": "user"
},
{
"content": "in order to cross the pole , the ... |
[
{
"content": "the guests at a football banquet consumed a total of 411 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ?\n\nOptions:\na ) 165 , b ) 161 , c ) 162 , d ) 163 , e ) 164",
"role": "user"
}... |
[
{
"content": "a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 854 in 4 years . the sum is :\n\nOptions:\na ) rs . 650 , b ) rs . 690 , c ) rs . 698 , d ) rs . 700 , e ) rs . 740",
"role": "user"
},
{
"content": "\"s . i . for 1 year = rs . ( 854 - 815 ) = rs . 39 . s . i... |
[
{
"content": "city x has a population 7 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ?\n\nOptions:\na ) 1 : 8 , b ) 1 : 4 , c ) 2 : 1 , d ) 14 : 1 , e ) 18 : 1",
"rol... |
[
{
"content": "there are 810 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?\n\nOptions:\na ) 75 , b ) 100 , c ) 125 , d ) 135 , e ) 225",
... |
[
{
"content": "if y is 75 % greater than x , than x is what % less than y ?\n\nOptions:\na ) 30.6 % , b ) 34.4 % , c ) 38.7 % , d ) 42.9 % , e ) 46.5 %",
"role": "user"
},
{
"content": "\"y = 1.75 x x = y / 1.75 = 100 y / 175 = 4 y / 7 x is 3 / 7 less which is about 42.9 % less than y . the answer is... |
[
{
"content": "at what rate percent on simple interest will rs . 750 amount to rs . 975 in 5 years ?\n\nOptions:\na ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6",
"role": "user"
},
{
"content": "\"225 = ( 750 * 5 * r ) / 100 r = 6 % . answer : e\"",
"role": "assistant"
}
] |
[
{
"content": "if rs . 10 be allowed as true discount on a bill of rs . 110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is ?\n\nOptions:\na ) 68.33 , b ) 18.33 , c ) 28.33 , d ) 48.33 , e ) 98.33",
"role": "user"
},
{
"content": "explanat... |
[
{
"content": "the average of first five multiples of 4 is\n\nOptions:\na ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15",
"role": "user"
},
{
"content": "\"solution average = 4 ( 1 + 2 + 3 + 4 + 5 ) / 5 = 60 / 5 . = 12 answer d\"",
"role": "assistant"
}
] |
[
{
"content": "the overall age of x and y is 10 year greater than the overall age of y and z . z is how many decades younger that x ?\n\nOptions:\na ) 11 , b ) 10 , c ) 12 , d ) 17 , e ) 19",
"role": "user"
},
{
"content": "\"b 10 ( x + y ) Γ’ β¬ β ( y + z ) = 10 x Γ’ β¬ β z = 10\"",
"role": "assista... |
[
{
"content": "a man can row upstream at 27 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?\n\nOptions:\na ) 31 , b ) 92 , c ) 30 , d ) 32 , e ) 23",
"role": "user"
},
{
"content": "\"us = 27 ds = 35 m = ( 35 + 27 ) / 2 = 31 answer : a\"",
"role": "assistant"
... |
[
{
"content": "on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 30 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?\n\nOptions:\na ) 10.5 % , b )... |
[
{
"content": "how many bricks , each measuring 40 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?\n\nOptions:\na ) 1400 , b ) 2400 , c ) 4000 , d ) 7000 , e ) 3400",
"role": "user"
},
{
"content": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 6... |
[
{
"content": "a 40 kg metal bar made of alloy of tin and silver lost 4 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": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 60 kmph its consumption is 1 litre per hour . if each litre costs $ 60 and other expenses per hous is $ 60 , then what would be the minimum expenditure required to cover a distance of... |
[
{
"content": "9 . on level farmland , two runners leave at the same time from the intersection of two country roads . one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour slower than the first runner ' s rate . how far... |
[
{
"content": "n ^ ( n / 2 ) = 6 is true when n = 6 in the same way what is the value of n if n ^ ( n / 2 ) = 10 ?\n\nOptions:\na ) 8 , b ) 12 , c ) 10 , d ) 16 , e ) 18",
"role": "user"
},
{
"content": "n ^ ( n / 2 ) = 10 apply log n / 2 logn = log 10 nlogn = 2 log 10 = log 10 ^ 2 = log 100 logn = l... |
[
{
"content": "of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 110 geese survived the first year and if no more than one goose hatched fro... |
[
{
"content": "a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 30 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ?\n\nO... |
[
{
"content": "a man traveled a total distance of 1800 km . he traveled one - third of the whole trip by plane and the distance traveled by train is three - fifth of the distance traveled by bus . if he traveled by train , plane and bus , then find the distance traveled by bus ?\n\nOptions:\na ) 239 , b ) 247 , ... |
[
{
"content": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 30 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?\n\nOptions:\na ) 4 , b ) 5 , c ) 6 , d ) 12 , e )... |
[
{
"content": "( 128.5 x 60 ) + ( 13.8 x 65 ) = ? x 25\n\nOptions:\na ) 524.48 , b ) 344.28 , c ) 574.36 , d ) 585.64 , e ) 595.46",
"role": "user"
},
{
"content": "\"explanation : ? = ( 128.5 x 60 ) + ( 13.8 x 65 ) / 25 = 7710 + 897 / 25 = 344.28 answer : option b\"",
"role": "assistant"
}
] |
[
{
"content": "a train 150 m long is running with a speed of 98 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going\n\nOptions:\na ) 5 sec , b ) 6 sec , c ) 7 sec , d ) 8 sec , e ) 9 sec",
"role": "user"
},
{
"content": "\"explanation : sp... |
[
{
"content": "it takes 2 team of farm workers 12 days to completely prepare a piece of land for planting . if both team of workers were to work separately , one of them can complete the work 10 days earlier than the other , how many days will it take each of them to separately complete the work ?\n\nOptions:\na... |
[
{
"content": "if 36 men can do a piece of work in 25 hours , in how many hours will 10 men do it ?\n\nOptions:\na ) 22 , b ) 38 , c ) 60 , d ) 88 , e ) 90",
"role": "user"
},
{
"content": "explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \\ inline ... |
[
{
"content": "3 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ?\n\nOptions:\na ) 0.004 , b ) 0.08333 , c ) 2.775 , d ) 3.6036 , e ) 36.036",
"role": "user"
},
{
"content": "\"approximate . 1 / . 03 = 100 / 3 = 33 1 / . 37 = 100 / 37 = 3 denominator becomes 33 + 3 = 36 3 / 36 = . 08 something answer ( b )\"",
... |
[
{
"content": "in a certain pond , 80 fish were caught , tagged , and returned to the pond . a few days later , 80 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate n... |
[
{
"content": "100 liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 10 liters of water were added to the solution , what percent of the solution is jasmine ?\n\nOptions:\na ) 1 / 13 , b ) 2 / 23 , c ) 3 / 31 , d ) 4 / 15 , e ) 2 / 3",
"role": "user"
},
{
"co... |
[
{
"content": "sahil purchased a machine at rs 9000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .\n\nOptions:\na ) rs . 22500 , b ) rs . 24500 , c ) rs . 26500 , d ) rs . 28500 , e ) none of these",
... |
[
{
"content": "shipment - - - no . of defective chips / shipment - - - total chips in shipment s 1 - - - - - - - - - - - - - - - - - - - - - - 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5,000 s 2 - - - - - - - - - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - ... |
[
{
"content": "if the cost price of 20 articles is equal to the selling price of 15 articles , what is the % profit or loss made by the merchant ?\n\nOptions:\na ) 25 % loss , b ) 33.33 % profit , c ) 20 % loss , d ) 20 % profit , e ) 5 % profit",
"role": "user"
},
{
"content": "\"let the cost price ... |
[
{
"content": "how much interest will $ 10,000 earn in 9 months at an annual rate of 3 % ?\n\nOptions:\na ) $ 250 , b ) $ 350 , c ) $ 450 , d ) $ 550 , e ) $ 225",
"role": "user"
},
{
"content": "\"soln : - 9 months = 3 / 4 of year ; 3 % = 3 / 100 = 3 / 100 ; $ 10,000 ( principal ) * 3 / 100 ( intere... |
[
{
"content": "the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1,000 locusts in the swarm , in approximately how many hours will the swarm population exceed 512,000 locusts ?\n\nOptions:\na ) 18 , b ) 15 , c ) 13 , d ) 14 , e ) 12",
"role": "user"
},
{
... |
[
{
"content": "the sum of the ages of 5 children born at the intervals of 2 years each is 50 years . what is the age of the youngest child ?\n\nOptions:\na ) 6 , b ) 18 , c ) 10 , d ) 99 , e ) 38",
"role": "user"
},
{
"content": "let x = the youngest child . each of the other four children will then ... |
[
{
"content": "jar x is 1 / 4 full of water . jar y , which has half the capacity of jar x , is 1 / 2 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ?\n\nOptions:\na ) 2 / 5 , b ) 1 / 4 , c ) 1 / 3 , d ) 1 / 2 , e ) 2 / 3",
"role": "use... |
[
{
"content": "the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 20 more than the number who did not , and if receipts for registration and lunch t... |
[
{
"content": "there are 10 slate rocks , 11 pumice rocks , and 4 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?\n\nOptions:\na ) 3 / 20 , b ) 5 / 26 , c ) 7 / 34 , d ) 9 / 37 , e ) 11... |
[
{
"content": "a train passes a station platform in 50 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?\n\nOptions:\na ) 615 m , b ) 240 m , c ) 168 m , d ) 300 m , e ) 691 m",
"role": "user"
},
{
"content": "speed = 54 ... |
[
{
"content": "a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 60 , how many horses are there ?\n\nOptions:\na ) 10 , b ) 12 ,... |
[
{
"content": "if two integers x , y ( x > y ) are selected from - 10 to 5 ( inclusive ) , how many possible cases are there ?\n\nOptions:\na ) 105 , b ) 120 , c ) 190 , d ) 210 , e ) 240",
"role": "user"
},
{
"content": "\"if two integers x , y ( x > y ) are selected from - 10 to 5 ( inclusive ) , h... |
[
{
"content": "a certain tax rate is $ 82 per $ 100.00 . what is the rate , expressed as a percent ?\n\nOptions:\na ) 82 % , b ) 8.2 % , c ) 0.82 % , d ) 0.082 % , e ) 0.0082 %",
"role": "user"
},
{
"content": "\"here in question it is asking $ . 82 is what percent of $ 100 . suppose $ . 82 is x % of... |
[
{
"content": "a and b invests rs . 8000 and rs . 9000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?\n\nOptions:\na ) 32 : 45 , b ) 32 : 47 , c ) 32 : 45 , d ) 32 ... |
[
{
"content": "5 friends visited a fruit stall , and everyone decided to contribute equally to the total bill of $ 100 . if one of the friends had a coupon for 6 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ?\n\nOption... |
[
{
"content": "a box contains 9 pairs of shoes ( 18 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?\n\nOptions:\na ) 1 / 190 , b ) 1 / 17 , c ) 1 / 19 , d ) 1 / 10 , e ) 1 / 9",
"role": "user"
},
{
"content": "\"the problem with your ... |
[
{
"content": "a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 54 . find the number of notes of rs . 50 denomination .\n\nOptions:\na ) 15 , b ) 21 , c ) 37 , d ) 19 , e ) 21",
"role": "user"
},
{
"content": "\"total money = rs . 10350 . let 50 rup... |
[
{
"content": "a can do a piece of work in 12 days . he worked for 15 days and then b completed the remaining work in 10 days . both of them together will finish it in .\n\nOptions:\na ) 12 1 / 2 days , b ) 10 1 / 2 days , c ) 12 1 / 3 days , d ) 10 1 / 3 days , e ) 11 1 / 2 days",
"role": "user"
},
{
... |
[
{
"content": "the perimeter of one face of a cube is 48 cm . its volume will be :\n\nOptions:\na ) 125 cm 3 , b ) 400 cm 3 , c ) 250 cm 3 , d ) 625 cm 3 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : edge of cude = 48 / 4 = 12 cm volume = a * a * a = 12 * 12 * 12 = 1728 cm cub... |
[
{
"content": "the difference between a 7 digit number and the number formed by reversing its digit is not a multiple of\n\nOptions:\na ) 121 , b ) 11 , c ) 9 , d ) 10 , e ) 3",
"role": "user"
},
{
"content": "\"another approach is to test a number . let ' s say the original number is 1231231 so , th... |
[
{
"content": "a scale 6 ft . 8 inches long is divided into 4 equal parts . find the length of each part\n\nOptions:\na ) 17 inches , b ) 20 inches , c ) 15 inches , d ) 18 inches , e ) 19 inches",
"role": "user"
},
{
"content": "\"explanation : total length of scale in inches = ( 6 * 12 ) + 8 = 80 i... |
[
{
"content": "the product of a and b is equal to 11 more than twice the sum of a and b . if b = 5 , what is the value of b - a ?\n\nOptions:\na ) - 2 , b ) 5 , c ) 7 , d ) 24 , e ) 35",
"role": "user"
},
{
"content": "\"ab = 11 + 2 ( a + b ) 5 a = 11 + 2 a + 10 3 a = 21 a = 7 b - a = 5 - 7 = - 2 a i... |
[
{
"content": "the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 23 . the corrected new mean is ?\n\nOptions:\na ) 36.6 , b ) 36.1 , c ) 36.5 , d ) 36.2 , e ) 36.9",
"role": "user"
},
{
"content": "\"correct sum = ( 36 * 50 + 48 - 23 ) = 1825 . correc... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.