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

Problem stringlengths 5 967	category class label 6 classes
a bowl of fruit contains 14 apples and 23 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?	2gain
√ ( 49 ) 2	0general
one woman and one man can build a wall together in three hours , but the woman would need the help of two girls in order to complete the same job in the same amount of time . if one man and one girl worked together , it would take them five hours to build the wall . assuming that rates for men , women and girls remain constant , how many hours would it take one woman , one man , and one girl , working together , to build the wall ?	1physics
two trains each 170 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 55 km / h while the other travels at 50 km / h . how long will it take for them to pass each other completely .	1physics
8 cups of water are to be poured into a 4 - cup bottle and a 8 - cup bottle . if each bottle is to be filled to the same fraction of its capacity , how many cups of water should be poured into the 8 - cup bottle ?	0general
a candidate got 30 % of the votes polled and he lost to his rival by 4000 votes . how many votes were cast ?	2gain
the average age of a group of n people is 14 years old . one more person aged 32 joins the group and the new average is 15 years old . what is the value of n ?	0general
the average of 7 numbers is 26 . if each number be multiplied by 5 . find the average of new set of numbers ?	0general
if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 345 , the cost of the article is	2gain
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 4 . if the sum of their ages is 88 , what is the difference between the ages of patrick and monica ?	0general
14 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?	3geometry
5 n - 3 > 12 and 7 n - 5 < 44 ; n must be between which numbers ?	0general
if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12 ?	0general
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 11 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?	1physics
what is 3 / 7 of 7 / 8 of 1 / 3 ?	0general
the least number which should be added to 2400 so that the sum is exactly divisible by 5 , 6,4 and 3 is :	0general
in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 82 more candidates got selected than a . what was the number of candidates appeared from each state ?	0general
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?	0general
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 8720 votes were polled , then how many valid votes did b get ?	0general
a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 2500 , what will be c ' s share of the earnings ?	1physics
23 , 29 , 31 , 37 , 41 , 43 , ( . . . )	0general
rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 81 . how much was lent at 5 % ?	2gain
what will be the difference between simple and compound interest at 16 % per annum on a sum of rs . 1000 after 4 years ?	2gain
in what time will a train 350 m long cross an electric pole , it its speed be 144 km / hr ?	1physics
an aeroplane covers a certain distance of 530 kmph in 5 hours . to cover the same distance in 3 2 / 3 hours , it must travel at a speed of	1physics
there are 4 red books and 4 blue books on a shelf . if 2 books are selected at random from the shelf , what is the probability that both books selected are red books ?	5other
on a ranch , a rancher can place a loop of rope , called a lasso , once in every 2 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 4 attempts ?	4probability
a no . when divided by 222 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ?	0general
the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 7 . what is the ratio of the smaller number to the larger number ?	5other
when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 5 centimeter . the actual diameter of the tissue , in centimeters , is	3geometry
a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 265 m long ?	1physics
if the sales tax be reduced from 4 ( 1 / 2 ) % to 3 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 10500 ?	0general
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 151 ?	0general
in an apartment building that has 490 units , 4 out of every 7 units are currently rented , including 1 / 3 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ?	0general
if six machines working at the same rate can do 3 / 4 of a job in 30 minutes , how many minutes would it take two machines working at the same rate to do 3 / 5 of the job ?	1physics
a fill pipe can fill 1 / 2 of cistern in 30 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?	1physics
the value of ( 4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31 ) is	0general
a is 30 % more efficient than b . how much time will they working together take to complete a job which a alone could have done in 23 days ?	1physics
a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2445 ?	0general
if a person walks at 15 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?	0general
gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was gwen ' s avg speed in miles / hr for the entire trip	1physics
a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b .	1physics
78 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,075 bacteria each . how many bacteria are there approximately ?	0general
the average salary / head of all the workers in a workshop is rs . 1000 , if the average salary / head of 10 technician is rs . 1200 and the average salary / head of the rest is rs . 820 , the total no . of workers in the work - shop is ?	0general
the maximum number of student amoung them 1080 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :	0general
76 ^ 77 / 7 remainder is ?	0general
30 ^ 10 / 240 ^ 5 = ?	0general
20 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?	0general
working alone , a can complete a certain kind of job in 15 hours . a and d , working together at their respective rates , can complete one of these jobs in 10 hours . in how many hours can d , working alone , complete one of these jobs ?	1physics
a can do a job in 12 days and b can do it in 20 days . a and b working together will finish twice the amount of work in - - - - - - - days ?	1physics
fresh grapes contain 80 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 40 kg of fresh grapes ?	2gain
java house charges $ 4.25 for a cup of coffee that costs a total of $ 3.85 to make . cup ' o ' joe charges $ 4.80 for a cup that costs $ 4.65 to make . if java house sells 55000 cups of coffee , how many must cup ' o ' joe sell to make at least as much in total gross profit as its competitor does ?	0general
in a neighborhood having 90 households , 11 did not have either a car or a bike . if 14 households had a both a car and a bike and 44 had a car , how many had bike only ?	5other
if the product of two numbers is 62216 and their h . c . f . is 22 , find their l . c . m .	1physics
sides of a rectangular park are in the ratio 3 : 2 and its area is 4704 sq m , the cost of fencing it at 50 ps per meter is ?	1physics
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 12 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?	2gain
a train crosses a tunnel of 1200 m in 45 sec , same train crosses another platform of length 180 m in 15 sec . then find the length of the train ?	1physics
if 8 men or 12 women can do a piece of work in 40 days , in how many days can the same work be done by 6 men and 11 women ?	1physics
if the sides of a triangle are 21 cm , 19 cm and 5 cm , what is its area ?	3geometry
excluding stoppages , the speed of a bus is 90 km / hr and including stoppages , it is 84 km / hr . for how many minutes does the bus stop per hour ?	1physics
two persons a and b can complete a piece of work in 18 days and 24 days respectively . if they work together , what part of the work will be completed in 2 days ?	1physics
present birth rate is 32 per 1000 while death rate is 11 per 1000 . what will be the percentage increase in the rate of population ?	2gain
on selling 11 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :	2gain
a lemonade stand sold only small and large cups of lemonade on tuesday . 2 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ?	0general
a boy is travelling from his home to school at 3 km / hr and reached 7 min late . next day he traveled at 6 km / hr and reached 8 min early . distance between home and school ?	1physics
a parking garage rents parking spaces for $ 15 per week or $ 30 per month . how much does a person save in a year by renting by the month rather than by the week ?	0general
the price of commodity x increases by 40 cents every year , while the price of commodity y increases by 15 cents every year . in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30 . in which year will the price of commodity x be 15 cents more than the price of commodity y ?	0general
steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?	1physics
a 12 % stock yielding 10 % is quoted at :	2gain
machine a takes 100 hours to complete a certain job and starts that job at 7 am . after two hour of working alone , machine a is joined by machine b and together they complete the job at 12 pm . how long would it have taken machine b to complete the jobif it had worked alone for the entire job ?	1physics
79 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,070 bacteria each . how many bacteria are there approximately ?	0general
to fill a tank , 20 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to one - fifth of its present ?	1physics
a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?	0general
shopkeeper rise price by 32 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?	2gain
income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 20000 , then find his savings ?	5other
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 17 percent sugar by weight . the second solution was what percent sugar by weight ?	2gain
8 x 1.6 - 3 x 1.4 / 1.3 = ?	0general
a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 3.5 t seconds , then what is the length of the platform ?	1physics
tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 70 per kg . how much amount did he pay to the shopkeeper ?	2gain
a cycle is bought for rs . 840 and sold for rs . 1220 , find the gain percent ?	2gain
for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 25 , then x =	0general
the ratio of length to width of a rectangular showroom window is 3.3 to 2 . if the width of the window is 8 feet , what is the approximate length of the display in feet ?	5other
if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 170 , what is the least possible value of n ?	0general
in a jar there are balls in different colors : blue , red , green and yellow . the probability of drawing a blue ball is 1 / 8 . the probability of drawing a red ball is 2 / 5 . the probability of drawing a green ball is 7 / 10 . if a jar can not contain more than 50 balls , how many yellow balls are in the jar ?	0general
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 3.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ?	0general
find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm .	3geometry
there are 6 different travelers who each have a choice of vacationing at one of 10 different destinations . what is the probability that all 6 travelers will end up vacationing at the same destination ?	4probability
of the 90 people in a room , 2 / 5 are women . if 2 / 3 of the people are married , what is the maximum number of women in the room who could be unmarried ?	0general
speed of a boat in standing water is 9 kmph and the speed of the stream is 1 . 5 kmph . a man rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is	1physics
in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 83 more candidates got selected than a . what was the number of candidates appeared from each state ?	0general
speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is :	1physics
for any integer k > 1 , the term “ length of an integer ” refers to the number of positive prime factors , not necessarily distinct , whose product is equal to k . for example , if k = 24 , the length of k is equal to 4 , since 24 = 2 × 2 × 2 × 3 . if x and y are positive integers such that x > 1 , y > 1 , and x + 3 y < 902 , what is the maximum possible sum of the length of x and the length of y ?	0general
alice is now 10 years older than bob . if in 6 years alice will be twice as old as bob , how old will alice be in 5 years ?	0general
in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 2,800 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 8,400 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?	0general
thabo owns exactly 180 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ?	0general
a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required	0general
a rectangular grass field is 75 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 . 10 per sq m ?	3geometry
in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.36 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]	0general
at a certain high school , the senior class is twice the size of the junior class . if 3 / 8 of the seniors and 1 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ?	0general
in a school with 604 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is	0general

a bowl of fruit contains 14 apples and 23 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?

2gain

√ ( 49 ) 2

0general

one woman and one man can build a wall together in three hours , but the woman would need the help of two girls in order to complete the same job in the same amount of time . if one man and one girl worked together , it would take them five hours to build the wall . assuming that rates for men , women and girls remain constant , how many hours would it take one woman , one man , and one girl , working together , to build the wall ?

1physics

two trains each 170 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 55 km / h while the other travels at 50 km / h . how long will it take for them to pass each other completely .

1physics

8 cups of water are to be poured into a 4 - cup bottle and a 8 - cup bottle . if each bottle is to be filled to the same fraction of its capacity , how many cups of water should be poured into the 8 - cup bottle ?

0general

a candidate got 30 % of the votes polled and he lost to his rival by 4000 votes . how many votes were cast ?

2gain

the average age of a group of n people is 14 years old . one more person aged 32 joins the group and the new average is 15 years old . what is the value of n ?

0general

the average of 7 numbers is 26 . if each number be multiplied by 5 . find the average of new set of numbers ?

0general

if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 345 , the cost of the article is

2gain

the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 4 . if the sum of their ages is 88 , what is the difference between the ages of patrick and monica ?

0general

14 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?

3geometry

5 n - 3 > 12 and 7 n - 5 < 44 ; n must be between which numbers ?

0general

if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12 ?

0general

a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 11 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?

1physics

what is 3 / 7 of 7 / 8 of 1 / 3 ?

0general

the least number which should be added to 2400 so that the sum is exactly divisible by 5 , 6,4 and 3 is :

0general

in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 82 more candidates got selected than a . what was the number of candidates appeared from each state ?

0general

a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?

0general

in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 8720 votes were polled , then how many valid votes did b get ?

0general

a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 2500 , what will be c ' s share of the earnings ?

1physics

23 , 29 , 31 , 37 , 41 , 43 , ( . . . )

0general

rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 81 . how much was lent at 5 % ?

2gain

what will be the difference between simple and compound interest at 16 % per annum on a sum of rs . 1000 after 4 years ?

2gain

in what time will a train 350 m long cross an electric pole , it its speed be 144 km / hr ?

1physics

an aeroplane covers a certain distance of 530 kmph in 5 hours . to cover the same distance in 3 2 / 3 hours , it must travel at a speed of

1physics

there are 4 red books and 4 blue books on a shelf . if 2 books are selected at random from the shelf , what is the probability that both books selected are red books ?

5other

on a ranch , a rancher can place a loop of rope , called a lasso , once in every 2 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 4 attempts ?

4probability

a no . when divided by 222 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ?

0general

the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 7 . what is the ratio of the smaller number to the larger number ?

5other

when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 5 centimeter . the actual diameter of the tissue , in centimeters , is

3geometry

a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 265 m long ?

1physics

if the sales tax be reduced from 4 ( 1 / 2 ) % to 3 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 10500 ?

0general

for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 151 ?

0general

in an apartment building that has 490 units , 4 out of every 7 units are currently rented , including 1 / 3 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ?

0general

if six machines working at the same rate can do 3 / 4 of a job in 30 minutes , how many minutes would it take two machines working at the same rate to do 3 / 5 of the job ?

1physics

a fill pipe can fill 1 / 2 of cistern in 30 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?

1physics

the value of ( 4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31 ) is

0general

a is 30 % more efficient than b . how much time will they working together take to complete a job which a alone could have done in 23 days ?

1physics

a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2445 ?

0general

if a person walks at 15 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?

0general

gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was gwen ' s avg speed in miles / hr for the entire trip

1physics

a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b .

1physics

78 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,075 bacteria each . how many bacteria are there approximately ?

0general

the average salary / head of all the workers in a workshop is rs . 1000 , if the average salary / head of 10 technician is rs . 1200 and the average salary / head of the rest is rs . 820 , the total no . of workers in the work - shop is ?

0general

the maximum number of student amoung them 1080 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :

0general

76 ^ 77 / 7 remainder is ?

0general

30 ^ 10 / 240 ^ 5 = ?

0general

20 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?

0general

working alone , a can complete a certain kind of job in 15 hours . a and d , working together at their respective rates , can complete one of these jobs in 10 hours . in how many hours can d , working alone , complete one of these jobs ?

1physics

a can do a job in 12 days and b can do it in 20 days . a and b working together will finish twice the amount of work in - - - - - - - days ?

1physics

fresh grapes contain 80 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 40 kg of fresh grapes ?

2gain

java house charges $ 4.25 for a cup of coffee that costs a total of $ 3.85 to make . cup ' o ' joe charges $ 4.80 for a cup that costs $ 4.65 to make . if java house sells 55000 cups of coffee , how many must cup ' o ' joe sell to make at least as much in total gross profit as its competitor does ?

0general

in a neighborhood having 90 households , 11 did not have either a car or a bike . if 14 households had a both a car and a bike and 44 had a car , how many had bike only ?

5other

if the product of two numbers is 62216 and their h . c . f . is 22 , find their l . c . m .

1physics

sides of a rectangular park are in the ratio 3 : 2 and its area is 4704 sq m , the cost of fencing it at 50 ps per meter is ?

1physics

in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 12 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?

2gain

a train crosses a tunnel of 1200 m in 45 sec , same train crosses another platform of length 180 m in 15 sec . then find the length of the train ?

1physics

if 8 men or 12 women can do a piece of work in 40 days , in how many days can the same work be done by 6 men and 11 women ?

1physics

if the sides of a triangle are 21 cm , 19 cm and 5 cm , what is its area ?

3geometry

excluding stoppages , the speed of a bus is 90 km / hr and including stoppages , it is 84 km / hr . for how many minutes does the bus stop per hour ?

1physics

two persons a and b can complete a piece of work in 18 days and 24 days respectively . if they work together , what part of the work will be completed in 2 days ?

1physics

present birth rate is 32 per 1000 while death rate is 11 per 1000 . what will be the percentage increase in the rate of population ?

2gain

on selling 11 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :

2gain

a lemonade stand sold only small and large cups of lemonade on tuesday . 2 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 7 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ?

0general

a boy is travelling from his home to school at 3 km / hr and reached 7 min late . next day he traveled at 6 km / hr and reached 8 min early . distance between home and school ?

1physics

a parking garage rents parking spaces for $ 15 per week or $ 30 per month . how much does a person save in a year by renting by the month rather than by the week ?

0general

the price of commodity x increases by 40 cents every year , while the price of commodity y increases by 15 cents every year . in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30 . in which year will the price of commodity x be 15 cents more than the price of commodity y ?

0general

steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph . what is his average speed for the entire journey ?

1physics

a 12 % stock yielding 10 % is quoted at :

2gain

machine a takes 100 hours to complete a certain job and starts that job at 7 am . after two hour of working alone , machine a is joined by machine b and together they complete the job at 12 pm . how long would it have taken machine b to complete the jobif it had worked alone for the entire job ?

1physics

79 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,070 bacteria each . how many bacteria are there approximately ?

0general

to fill a tank , 20 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to one - fifth of its present ?

1physics

a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?

0general

shopkeeper rise price by 32 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?

2gain

income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 20000 , then find his savings ?

5other

one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 17 percent sugar by weight . the second solution was what percent sugar by weight ?

2gain

8 x 1.6 - 3 x 1.4 / 1.3 = ?

0general

a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 3.5 t seconds , then what is the length of the platform ?

1physics

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

2gain

a cycle is bought for rs . 840 and sold for rs . 1220 , find the gain percent ?

2gain

for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 25 , then x =

0general

the ratio of length to width of a rectangular showroom window is 3.3 to 2 . if the width of the window is 8 feet , what is the approximate length of the display in feet ?

5other

if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 170 , what is the least possible value of n ?

0general

in a jar there are balls in different colors : blue , red , green and yellow . the probability of drawing a blue ball is 1 / 8 . the probability of drawing a red ball is 2 / 5 . the probability of drawing a green ball is 7 / 10 . if a jar can not contain more than 50 balls , how many yellow balls are in the jar ?

0general

a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 3.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ?

0general

find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm .

3geometry

there are 6 different travelers who each have a choice of vacationing at one of 10 different destinations . what is the probability that all 6 travelers will end up vacationing at the same destination ?

4probability

of the 90 people in a room , 2 / 5 are women . if 2 / 3 of the people are married , what is the maximum number of women in the room who could be unmarried ?

0general

speed of a boat in standing water is 9 kmph and the speed of the stream is 1 . 5 kmph . a man rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is

1physics

in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 83 more candidates got selected than a . what was the number of candidates appeared from each state ?

0general

speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is :

1physics

for any integer k > 1 , the term “ length of an integer ” refers to the number of positive prime factors , not necessarily distinct , whose product is equal to k . for example , if k = 24 , the length of k is equal to 4 , since 24 = 2 × 2 × 2 × 3 . if x and y are positive integers such that x > 1 , y > 1 , and x + 3 y < 902 , what is the maximum possible sum of the length of x and the length of y ?

0general

alice is now 10 years older than bob . if in 6 years alice will be twice as old as bob , how old will alice be in 5 years ?

0general

in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 2,800 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 8,400 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?

0general

thabo owns exactly 180 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ?

0general

a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required

0general

a rectangular grass field is 75 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 . 10 per sq m ?

3geometry

in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.36 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]

0general

at a certain high school , the senior class is twice the size of the junior class . if 3 / 8 of the seniors and 1 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ?

0general

in a school with 604 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is

0general