rootacess/math-qa-classification · Datasets at Hugging Face

Problem stringlengths 5 967	category class label 6 classes
if a person buy radio worth rs 2468 and pay 7 % sales . how much price of radio should reduce to pay only rs 2468 .	2gain
3 buffaloes eat as much as 4 cows or 2 oxen . at a farm , there are 15 buffaloes , 8 oxen , and 24 cows . the fodder for these cattle is available for 48 days . if 60 more cows and 30 more buffaloes are brought in , how many days will the fodder last ?	0general
the difference between a number and its three - fifth is 50 . what is the number ?	0general
two thirds of the roads from a to b are at least 5 miles long , and 3 / 4 of the roads from b to c are at least 5 miles long . if you randomly pick a road from a to b and then randomly pick a road from b to c , what is the probability that at least one of the roads you pick is at least 5 miles long ?	1physics
if x = 6 and y = − 2 , what is the value of ( x − 2 y ) ^ y ?	0general
a rectangular swimming pool is 8 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 540 square feet . what is the width of the deck ?	3geometry
a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?	1physics
a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money t did bob receive ?	0general
maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 40 kilometers , maxwell ' s walking speed is 3 km / h , and brad ' s running speed is 5 km / h . what is the distance traveled by maxwell when they meet in the middle ?	1physics
in a urban village of india named ` ` owlna ' ' , 70 % people have refrigerator , 75 % people have television , 65 % people got computers and 95 % got air - conditionor . how many people ( minimum ) got all these luxury .	0general
in a group of 12 engineers , 4 engineers have a phd degree ; the others have only an ms or bs degree . a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ?	5other
what will be the ci on a sum of rs . 25000 after 3 years at the rate of 12 per year ?	2gain
if a person walks at 15 km / hr instead of 10 km / hr , he would have walked 10 km more . the actual distance traveled by him is ?	0general
a rectangular grass field is 85 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?	3geometry
the speed at which a man can row a boat in still water is 18 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ?	1physics
two trains are moving at 50 kmph and 70 kmph in opposite directions . their lengths are 170 m and 100 m respectively . the time they will take to pass each other completely is ?	1physics
having scored 96 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ?	0general
what is the greatest possible length which can be used to measure exactly the lengths 8 m , 4 m 20 cm and 12 m 20 cm ?	1physics
what least number should be added to 1019 , so that the sum is completely divisible by 25 ?	0general
in a school having roll strength 286 , the ratio of boys and girls is 8 : 5 . if 22 more girls get admitted into the school , the ratio of boys and girls becomes	5other
if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 5 ?	0general
the ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325 . the value of n is	5other
a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 5 minutes . how much time will be take to cover a distance of 5 kilometres ?	1physics
an error 4 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is	2gain
harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 9 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ?	0general
the difference between a two - digit number and the number obtained by interchanging the two digits is 63 . which is the smaller of the two numbers ?	0general
a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 12 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )	1physics
how many positive integers less than 5,000 are evenly divisible by neither 13 nor 21 ?	0general
a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?	1physics
what is difference between biggest and smallest fraction among 2 / 5 , 3 / 4 , 4 / 5 and 5 / 6	0general
a 5 % stock yields 10 % . the market value of the stock is :	2gain
a train 120 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	1physics
every day daniel drives 64 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?	1physics
the diagonal of a rhombus are 25 m and 50 m . its area is :	3geometry
what is the angle between the hands of a clock when time is 10 : 20 ?	3geometry
the diameter of a cylindrical tin is 14 cm and height is 5 cm . find the volume of the cylinder ?	3geometry
if 40 men take 15 days to to complete a job , in how many days can 25 men finish that work ?	1physics
it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 160 pages ?	1physics
find the cost of fencing around a circular field of diameter 22 m at the rate of rs . 3 a meter ?	1physics
there are 6 people in the elevator . their average weight is 156 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .	0general
each child has 2 pencils and 13 skittles . if there are 15 children , how many pencils are there in total ?	0general
if a certain number x is divided by 62 , the reminder is 7 . what is the reminder when x + 11 is divided by 31 ?	0general
if 7 ^ w is a factor of the product of the integers from 1 to 100 , inclusive , what is the largest value of w ?	0general
a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 145 . find the unknown rate of two towels ?	0general
if 2 pipes take an hour to fill a tank , then how long should 8 pipes take to fill the same tank ?	1physics
there are 6 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 4 other amateurs , what is the total number of chess games possible to be played in the tournament ?	0general
a jar full of whisky contains 30 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ?	2gain
worker a takes 4 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?	1physics
express a speed of 30 kmph in meters per second ?	1physics
in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 100 more than the correct answer . find the number .	0general
a boat running up stram takes 6 hours to cover a certain distance , while it takes 9 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ?	1physics
the cost price of a radio is rs . 1900 and it was sold for rs . 1330 , find the loss % ?	2gain
someone on a skateboard is traveling 13 miles per hour . how many feet does she travel in 25 seconds ? ( 1 mile = 5280 feet )	1physics
there are 4 more women than there are men on a local co - ed softball team . if there are a total of 14 players on the team , what is the ratio of men to women ?	0general
8900 ÷ 6 ÷ 4 = ?	0general
the markup on a box of apples is 10 percent of the cost . the markup is what percent of the selling price ? ( markup = selling price - cost )	0general
a train speeds past a pole in 15 seconds and a platform 100 m long in 40 seconds . its length is ?	1physics
a train running at the speed of 30 km / hr crosses a pole in 12 seconds . what is the length of the train ?	1physics
three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is :	5other
how many positive integers less than 9999 are such that the product of their digits is 210 .	0general
two stations p and q are 65 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?	1physics
a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase w in sales ?	0general
a man saves 10 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 5 % , he is only able to save rs . 400 per month . what is his monthly salary ?	0general
working individually , emma can wrap presents for 6 hours and troy can wrap presents in 8 hours . if emma and troy work together but independently at the task for 2 hours , at which point troy leaves , how many remaining hours will it take emma to complete the task alone ?	1physics
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 8480 , what is the length of the plot in metres ?	1physics
find the last digit of ( 1021 ^ 3921 ) + ( 3081 ^ 3921 )	0general
a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates z apply to what fraction of a week ?	1physics
the ratio of the volumes of two cubes is 125 : 216 . what is the ratio of their total surface areas ?	3geometry
the average weight of d , e and f is 42 kg . if the average weight of d and e be 35 kg and that of e and f be 41 kg , what is the weight of e ?	0general
two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 75 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?	1physics
find the smallest number which when divided by 12 and 15 leaves respective remainders of 8 and 11 .	0general
a merchant marks his goods up by 20 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?	2gain
a batsman in his 20 th innings makes a score of 90 , and thereby increases his average by 2 . what is his average after the 20 th innings ? he had never been ’ not out ’ .	0general
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 are in s ( 99 ) ?	0general
the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 12 . the larger of the two numbers is :	5other
how many figures are required to number the pages the pages of a book containing 1210 pages ?	0general
the average weight of a , b and c is 75 kg . if the average weight of a and b be 88 kg and that of b and c be 72 kg , then the weight of b is :	0general
a and b are mixed together in the ratio 9 : 11 . what is the weight of mixture , if 26.1 kg of a has been consumed in it ?	0general
find the constant k so that : - x 2 - ( k + 12 ) x - 8 = - ( x - 2 ) ( x - 4 )	0general
last year , company x paid out a total of $ 1 , 050,000 in salaries to its 31 employees . if no employee earned a salary that is more than 20 % greater than any other employee , what is the lowest possible salary that any one employee earned ?	0general
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 350 , what is the least possible value of n ?	0general
the duplicate ratio of 2 : 3 is ?	5other
the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons )	3geometry
3 maths classes : a , b and c take an algebra test . the average score of class a is 83 . the average score of class b is 76 . the average score of class c is 85 . the average score of class a and b is 79 and average score of class b and c is 81 . what is the average score of classes a , b , c ?	0general
at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 19 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?	1physics
the volume of a cube is 1728 cc . find its surface .	3geometry
the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?	3geometry
a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is ?	3geometry
a train is 700 meter long is running at a speed of 21 km / hour . in what time will it pass a bridge of 130 meter length ?	1physics
a coin is tossed 4 times . what is the probability of getting exactly 3 heads ?	4probability
the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ?	5other
a train passes a station platform in 42 sec and a man standing on the platform in 12 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?	1physics
how many pieces of 75 cm can be cut from a rope 45 meters long ?	1physics
in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 75 per kg ?	5other
a shopkeeper fixes the marked price of an item 30 % above its cost price . the percentage of discount allowed to gain 6 % is	2gain
the product of two numbers is 120 and the sum of their squares is 289 . find the sum ?	0general
find the sum of first 26 natural numbers	0general
in an electric circuit , two resistors with resistances m and n are connected in parallel . in this case , if p is the combined resistance of these two resistors , then the reciprocal of p is equal to the sum of the reciprocals of m and n . what is p in terms of m and n ?	3geometry
x + ( 1 / x ) = 3 find x ^ 2 + ( 1 / x ^ 2 )	0general

if a person buy radio worth rs 2468 and pay 7 % sales . how much price of radio should reduce to pay only rs 2468 .

2gain

3 buffaloes eat as much as 4 cows or 2 oxen . at a farm , there are 15 buffaloes , 8 oxen , and 24 cows . the fodder for these cattle is available for 48 days . if 60 more cows and 30 more buffaloes are brought in , how many days will the fodder last ?

0general

the difference between a number and its three - fifth is 50 . what is the number ?

0general

two thirds of the roads from a to b are at least 5 miles long , and 3 / 4 of the roads from b to c are at least 5 miles long . if you randomly pick a road from a to b and then randomly pick a road from b to c , what is the probability that at least one of the roads you pick is at least 5 miles long ?

1physics

if x = 6 and y = − 2 , what is the value of ( x − 2 y ) ^ y ?

0general

a rectangular swimming pool is 8 feet by 20 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 540 square feet . what is the width of the deck ?

3geometry

a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?

1physics

a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money t did bob receive ?

0general

maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 40 kilometers , maxwell ' s walking speed is 3 km / h , and brad ' s running speed is 5 km / h . what is the distance traveled by maxwell when they meet in the middle ?

1physics

in a urban village of india named ` ` owlna ' ' , 70 % people have refrigerator , 75 % people have television , 65 % people got computers and 95 % got air - conditionor . how many people ( minimum ) got all these luxury .

0general

in a group of 12 engineers , 4 engineers have a phd degree ; the others have only an ms or bs degree . a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ?

5other

what will be the ci on a sum of rs . 25000 after 3 years at the rate of 12 per year ?

2gain

if a person walks at 15 km / hr instead of 10 km / hr , he would have walked 10 km more . the actual distance traveled by him is ?

0general

a rectangular grass field is 85 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?

3geometry

the speed at which a man can row a boat in still water is 18 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ?

1physics

two trains are moving at 50 kmph and 70 kmph in opposite directions . their lengths are 170 m and 100 m respectively . the time they will take to pass each other completely is ?

1physics

having scored 96 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ?

0general

what is the greatest possible length which can be used to measure exactly the lengths 8 m , 4 m 20 cm and 12 m 20 cm ?

1physics

what least number should be added to 1019 , so that the sum is completely divisible by 25 ?

0general

in a school having roll strength 286 , the ratio of boys and girls is 8 : 5 . if 22 more girls get admitted into the school , the ratio of boys and girls becomes

5other

if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 5 ?

0general

the ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17 : 325 . the value of n is

5other

a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 5 minutes . how much time will be take to cover a distance of 5 kilometres ?

1physics

an error 4 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is

2gain

harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 9 and ( y - 1 ) ^ 2 is less than 64 , what is the sum of the maximum possible value of xy and the minimum possible value of xy ?

0general

the difference between a two - digit number and the number obtained by interchanging the two digits is 63 . which is the smaller of the two numbers ?

0general

a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 12 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )

1physics

how many positive integers less than 5,000 are evenly divisible by neither 13 nor 21 ?

0general

a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?

1physics

what is difference between biggest and smallest fraction among 2 / 5 , 3 / 4 , 4 / 5 and 5 / 6

0general

a 5 % stock yields 10 % . the market value of the stock is :

2gain

a train 120 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

1physics

every day daniel drives 64 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?

1physics

the diagonal of a rhombus are 25 m and 50 m . its area is :

3geometry

what is the angle between the hands of a clock when time is 10 : 20 ?

3geometry

the diameter of a cylindrical tin is 14 cm and height is 5 cm . find the volume of the cylinder ?

3geometry

if 40 men take 15 days to to complete a job , in how many days can 25 men finish that work ?

1physics

it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 160 pages ?

1physics

find the cost of fencing around a circular field of diameter 22 m at the rate of rs . 3 a meter ?

1physics

there are 6 people in the elevator . their average weight is 156 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .

0general

each child has 2 pencils and 13 skittles . if there are 15 children , how many pencils are there in total ?

0general

if a certain number x is divided by 62 , the reminder is 7 . what is the reminder when x + 11 is divided by 31 ?

0general

if 7 ^ w is a factor of the product of the integers from 1 to 100 , inclusive , what is the largest value of w ?

0general

a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 145 . find the unknown rate of two towels ?

0general

if 2 pipes take an hour to fill a tank , then how long should 8 pipes take to fill the same tank ?

1physics

there are 6 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 4 other amateurs , what is the total number of chess games possible to be played in the tournament ?

0general

a jar full of whisky contains 30 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ?

2gain

worker a takes 4 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?

1physics

express a speed of 30 kmph in meters per second ?

1physics

in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 100 more than the correct answer . find the number .

0general

a boat running up stram takes 6 hours to cover a certain distance , while it takes 9 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ?

1physics

the cost price of a radio is rs . 1900 and it was sold for rs . 1330 , find the loss % ?

2gain

someone on a skateboard is traveling 13 miles per hour . how many feet does she travel in 25 seconds ? ( 1 mile = 5280 feet )

1physics

there are 4 more women than there are men on a local co - ed softball team . if there are a total of 14 players on the team , what is the ratio of men to women ?

0general

8900 ÷ 6 ÷ 4 = ?

0general

the markup on a box of apples is 10 percent of the cost . the markup is what percent of the selling price ? ( markup = selling price - cost )

0general

a train speeds past a pole in 15 seconds and a platform 100 m long in 40 seconds . its length is ?

1physics

a train running at the speed of 30 km / hr crosses a pole in 12 seconds . what is the length of the train ?

1physics

three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is :

5other

how many positive integers less than 9999 are such that the product of their digits is 210 .

0general

two stations p and q are 65 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?

1physics

a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase w in sales ?

0general

a man saves 10 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 5 % , he is only able to save rs . 400 per month . what is his monthly salary ?

0general

working individually , emma can wrap presents for 6 hours and troy can wrap presents in 8 hours . if emma and troy work together but independently at the task for 2 hours , at which point troy leaves , how many remaining hours will it take emma to complete the task alone ?

1physics

the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 8480 , what is the length of the plot in metres ?

1physics

find the last digit of ( 1021 ^ 3921 ) + ( 3081 ^ 3921 )

0general

a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates z apply to what fraction of a week ?

1physics

the ratio of the volumes of two cubes is 125 : 216 . what is the ratio of their total surface areas ?

3geometry

the average weight of d , e and f is 42 kg . if the average weight of d and e be 35 kg and that of e and f be 41 kg , what is the weight of e ?

0general

two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 75 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?

1physics

find the smallest number which when divided by 12 and 15 leaves respective remainders of 8 and 11 .

0general

a merchant marks his goods up by 20 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?

2gain

a batsman in his 20 th innings makes a score of 90 , and thereby increases his average by 2 . what is his average after the 20 th innings ? he had never been ’ not out ’ .

0general

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 are in s ( 99 ) ?

0general

the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 12 . the larger of the two numbers is :

5other

how many figures are required to number the pages the pages of a book containing 1210 pages ?

0general

the average weight of a , b and c is 75 kg . if the average weight of a and b be 88 kg and that of b and c be 72 kg , then the weight of b is :

0general

a and b are mixed together in the ratio 9 : 11 . what is the weight of mixture , if 26.1 kg of a has been consumed in it ?

0general

find the constant k so that : - x 2 - ( k + 12 ) x - 8 = - ( x - 2 ) ( x - 4 )

0general

last year , company x paid out a total of $ 1 , 050,000 in salaries to its 31 employees . if no employee earned a salary that is more than 20 % greater than any other employee , what is the lowest possible salary that any one employee earned ?

0general

if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 350 , what is the least possible value of n ?

0general

the duplicate ratio of 2 : 3 is ?

5other

the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons )

3geometry

3 maths classes : a , b and c take an algebra test . the average score of class a is 83 . the average score of class b is 76 . the average score of class c is 85 . the average score of class a and b is 79 and average score of class b and c is 81 . what is the average score of classes a , b , c ?

0general

at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 19 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?

1physics

the volume of a cube is 1728 cc . find its surface .

3geometry

the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?

3geometry

a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is ?

3geometry

a train is 700 meter long is running at a speed of 21 km / hour . in what time will it pass a bridge of 130 meter length ?

1physics

a coin is tossed 4 times . what is the probability of getting exactly 3 heads ?

4probability

the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ?

5other

a train passes a station platform in 42 sec and a man standing on the platform in 12 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?

1physics

how many pieces of 75 cm can be cut from a rope 45 meters long ?

1physics

in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 75 per kg ?

5other

a shopkeeper fixes the marked price of an item 30 % above its cost price . the percentage of discount allowed to gain 6 % is

2gain

the product of two numbers is 120 and the sum of their squares is 289 . find the sum ?

0general

find the sum of first 26 natural numbers

0general

in an electric circuit , two resistors with resistances m and n are connected in parallel . in this case , if p is the combined resistance of these two resistors , then the reciprocal of p is equal to the sum of the reciprocals of m and n . what is p in terms of m and n ?

3geometry

x + ( 1 / x ) = 3 find x ^ 2 + ( 1 / x ^ 2 )

0general