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

Problem stringlengths 5 967	category class label 6 classes
in a class , 6 students can speak tamil , 15 can speak gujarati and 6 can speak h . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class ?	0general
what should be the least number to be added to the 3198 number to make it divisible by 8 ?	0general
10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3168 , how much was it in the beginning ?	0general
60 men shake hands with each other . maximum no of handshakes without cyclic handshakes .	0general
what is the difference between the c . i . on rs . 4000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?	0general
657.987 - ? + 56.84 = 324.943	0general
approximately what percentage of the world ’ s forested area is represented by finland given that finland has 53.42 million hectares of forested land of the world ’ s 8.076 billion hectares of forested land .	0general
two stations a and b are 65 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?	1physics
divide rs . 800 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?	0general
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 60,000 . the amount invested by y is	2gain
salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 10 percent of a ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ?	0general
what is the smallest positive integer k such that the product of 61347 x k is a perfect square ?	0general
the total age of a and b is 13 years more than the total age of b and c . c is how many years younger than a . ?	0general
a pupil ' s marks were wrongly entered as 67 instead of 45 . due to that the average marks for the class got increased by half . the number of pupils in the class is :	0general
how long does a train 100 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?	1physics
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,100 sedans in anytown , how many motorcycles are there ?	5other
in a particular state , 60 % of the counties received some rain on monday , and 55 % of the counties received some rain on tuesday . no rain fell either day in 25 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?	2gain
triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour , what is his average rate for the entire trip in miles per minute ?	1physics
what is the smallest number which when increased by 3 is divisible by 12 , 15 , 35 , and 40 ?	0general
on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number r of races we need to conduct to get the top 3 fastest horses ?	0general
if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 2 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ?	0general
7 people average age is 30 . youngest person age is 5 . find average of the people when youngest was born .	0general
the average age of applicants for a new job is 35 , with a standard deviation of 30 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?	0general
linda spent 3 / 5 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ?	0general
a man buys an item at rs . 1300 and sells it at the loss of 20 percent . then what is the selling price of that item	2gain
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 w between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?	1physics
a sum of money lent out at s . i . amounts to rs . 850 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ?	0general
on dividing 15698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ?	0general
angelo and isabella are both salespersons . in any given week , angelo makes $ 570 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ?	0general
income and expenditure of a person are in the ratio 4 : 3 . if the income of the person is rs . 20000 , then find his savings ?	5other
given that 268 x 74 = 19832 , find the value of 2.68 x . 74 .	0general
the average age of 60 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?	0general
the ratio of investments of two partners p and q is 7 : 5.00001 and the ratio of their profits is 7.00001 : 10 . if p invested the money for 5 months , find for how much time did q invest the money ?	2gain
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance traveled downstream in 15 minutes is :	1physics
by selling 80 pens , a trader gains the cost of 20 pens . find his gain percentage ?	2gain
a salt manufacturing company produced a total of 1000 tonnes of salt in january of a particular year . starting from february its production increased by 100 tonnes every month over the previous months until the end of the year . find its average monthly production for that year ?	0general
a batsman in his 11 th inning makes a score of 69 and their by increasing his average by 1 . what is his average after the 11 th inning ?	0general
john makes $ 40 a week from his job . he earns a raise andnow makes $ 55 a week . what is the % increase ?	2gain
if x and y are positive integers and y ≠ 1 , then xy ( y − 1 ) is	0general
you collect baseball cards . suppose you start out with 13 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?	0general
the list price of an article is rs . 70 . a customer pays rs . 61.74 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?	2gain
what is the smallest integer b for which 27 ^ b > 3 ^ 24 ?	0general
the median annual household income in a certain community of 21 households is $ 50000 . if the mean r income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ?	0general
the contents of a certain box consist of 80 apples and 30 oranges . how many oranges must be added to the box so that exactly 50 % of the pieces of fruit in the box will be apples ?	0general
the sum of the squares of three numbers is 125 , while the sum of their products taken two at a time is 50 . their sum is :	0general
in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 14 , 2 ) , ( 14 , - 5 ) ?	3geometry
a man was engaged on a job for 30 days on the condition that he would get a wage of rs . 10 for the day he works , but he have to pay a fine of rs . 2 for each day of his absence . if he gets rs . 216 at the end , he was absent for work for . . . days .	1physics
if 9 ^ y = 3 ^ 16 , what is y ?	0general
the average age of 3 boys is 15 years and their ages are in proportion 3 : 5 : 7 . what is the age in years of the eldest boy ?	0general
a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 19 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ?	5other
a towel , when bleached , lost 30 % of its length and 15 % of its breadth . what is the percentage decrease in area ?	2gain
if a , b and c together can finish a piece of work in 4 days . a alone in 12 days and b in 24 days , then c alone can do it in ?	1physics
at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 15 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?	0general
the average weight of 10 persons increases by 7.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?	0general
a fold density is 19 times greater than the water and for copper it is 9 times . at what ratio you can mix gold and copper to get 15 times denser than water . ?	0general
r is the set of positive even integers less than 50 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?	1physics
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 45 , what is the total amount ?	0general
a jar contains a mixture of two liquids acid ( nitric acid ) and base ( ammonium chloride ) in the ratio 4 : 1 . when 10 litres of the mixture is taken out and 10 litres of liquid base is poured into the jar , the ratio becomes 2 : 3 . how many litres of liquid acid was contained in the jar ?	5other
if x + y = 4 , x - y = 36 , for integers of x and y , x = ?	0general
if c is 25 % of a and 15 % of b , what percent of a is b ?	2gain
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 864 in total compensation , how many total hours did he work that week ?	0general
praveen starts business with rs . 3500 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ?	5other
harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?	2gain
in a group of 250 readers who read science fiction or literacy works or both , 180 read science fiction and 88 read literacy works . how many read both science fiction and literacy works ?	5other
in a certain circle there are 10 points . what is the number of the triangles connecting 5 points of the 10 points ?	3geometry
solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 14 percent alcohol by volume ?	0general
the difference between the place value and the face value of 6 in the numerical 856973 is	0general
if n = 8 ^ 8 – 5 , what is the units digit of n ?	0general
patrick purchased 80 pencils and sold them at a loss equal to the selling price of 16 pencils . the cost of 80 pencils is how many times the selling price of 80 pencils ?	0general
how many odd numbers between 10 and 1,200 are the squares of integers ?	3geometry
if 6 women take an hour to dig a ditch , then how long should 18 women take a dig to ditch of the same type ?	1physics
if the price of a book is first decreased by 50 % and then increased by 60 % , then the net change in the price will be ?	0general
if a farmer sells 15 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 10 more chickens , he will run out of feed 6 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?	0general
a bag contains 10 red jellybeans and 10 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability q that all 3 jellybeans removed from the bag are blue ?	4probability
find the value of x from this equation ? 7 ( x - 1 ) = 21	0general
a person incurs 10 % loss by selling a watch for $ 100 . at what price should the watch be sold to earn 10 % profit ?	2gain
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 27 , what is the total amount ?	0general
an association of mathematics teachers has 1,500 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 40 percent of the votes cast ?	2gain
to fill a tank , 25 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 3 / 5 of its present ?	1physics
salesperson a ' s compensation for any week is $ 300 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ?	0general
ritesh and co . generated revenue of rs . 1,800 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?	2gain
there are 28 stations between kolkatta and chennai . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?	1physics
a contractor is engaged for 30 days on the condition that he receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 490 in all . for how many days was he absent ?	1physics
what is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1 ?	3geometry
albert is 2 times mary ’ s age and 4 times as old as betty . mary is 10 years younger than albert . how old is betty ?	0general
a worker is paid rs . 20 / - for a full days work . he works 11 / 32 / 31 / 8.3 / 4 days in a week . what is the total amount paid for that worker ?	0general
how many odd factors does 270 have ?	5other
find a number such that when 15 is subtracted from 7 times the number , the results is more than twice the number ?	0general
having received his weekly allowance , a student spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 1.00 at the candy store . what is this student ’ s weekly allowance ?	0general
if 2 \| 2 – e \| = 5 , what is the sum of all the possible values for e ?	0general
the market value of a certain machine decreased by 10 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?	2gain
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 5 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?	2gain
if \| y + 5 \| = 8 , what is the sum of all the possible values of y ?	0general
let n ~ be defined for all positive integers n as the remainder when ( n - 1 ) ! is divided by n . what is the value of 30 ~ ?	0general
two unbiased coins are tossed . what is the probability of getting two heads ?	4probability
a and b complete a work in 10 days . a alone can do it in 14 days . if both together can do the work in how many days ?	1physics
if jake loses 33 pounds , he will weigh twice as much as his sister . together they now weigh 153 pounds . what is jake ' s present weight , in pounds ?	0general
the value of a machine depreciates at 24 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?	2gain
a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price v per t - shirt that the vendor paid for these purchases ?	0general
if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 120 units ?	1physics

in a class , 6 students can speak tamil , 15 can speak gujarati and 6 can speak h . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class ?

0general

what should be the least number to be added to the 3198 number to make it divisible by 8 ?

0general

10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3168 , how much was it in the beginning ?

0general

60 men shake hands with each other . maximum no of handshakes without cyclic handshakes .

0general

what is the difference between the c . i . on rs . 4000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?

0general

657.987 - ? + 56.84 = 324.943

0general

approximately what percentage of the world ’ s forested area is represented by finland given that finland has 53.42 million hectares of forested land of the world ’ s 8.076 billion hectares of forested land .

0general

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

1physics

divide rs . 800 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?

0general

x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if x invested rs . 60,000 . the amount invested by y is

2gain

salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 10 percent of a ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ?

0general

what is the smallest positive integer k such that the product of 61347 x k is a perfect square ?

0general

the total age of a and b is 13 years more than the total age of b and c . c is how many years younger than a . ?

0general

a pupil ' s marks were wrongly entered as 67 instead of 45 . due to that the average marks for the class got increased by half . the number of pupils in the class is :

0general

how long does a train 100 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?

1physics

a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,100 sedans in anytown , how many motorcycles are there ?

5other

in a particular state , 60 % of the counties received some rain on monday , and 55 % of the counties received some rain on tuesday . no rain fell either day in 25 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?

2gain

triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour , what is his average rate for the entire trip in miles per minute ?

1physics

what is the smallest number which when increased by 3 is divisible by 12 , 15 , 35 , and 40 ?

0general

on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number r of races we need to conduct to get the top 3 fastest horses ?

0general

if a certain toy store ' s revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 2 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ?

0general

7 people average age is 30 . youngest person age is 5 . find average of the people when youngest was born .

0general

the average age of applicants for a new job is 35 , with a standard deviation of 30 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?

0general

linda spent 3 / 5 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ?

0general

a man buys an item at rs . 1300 and sells it at the loss of 20 percent . then what is the selling price of that item

2gain

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 w between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?

1physics

a sum of money lent out at s . i . amounts to rs . 850 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ?

0general

on dividing 15698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ?

0general

angelo and isabella are both salespersons . in any given week , angelo makes $ 570 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ?

0general

income and expenditure of a person are in the ratio 4 : 3 . if the income of the person is rs . 20000 , then find his savings ?

5other

given that 268 x 74 = 19832 , find the value of 2.68 x . 74 .

0general

the average age of 60 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?

0general

the ratio of investments of two partners p and q is 7 : 5.00001 and the ratio of their profits is 7.00001 : 10 . if p invested the money for 5 months , find for how much time did q invest the money ?

2gain

the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance traveled downstream in 15 minutes is :

1physics

by selling 80 pens , a trader gains the cost of 20 pens . find his gain percentage ?

2gain

a salt manufacturing company produced a total of 1000 tonnes of salt in january of a particular year . starting from february its production increased by 100 tonnes every month over the previous months until the end of the year . find its average monthly production for that year ?

0general

a batsman in his 11 th inning makes a score of 69 and their by increasing his average by 1 . what is his average after the 11 th inning ?

0general

john makes $ 40 a week from his job . he earns a raise andnow makes $ 55 a week . what is the % increase ?

2gain

if x and y are positive integers and y ≠ 1 , then xy ( y − 1 ) is

0general

you collect baseball cards . suppose you start out with 13 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ?

0general

the list price of an article is rs . 70 . a customer pays rs . 61.74 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?

2gain

what is the smallest integer b for which 27 ^ b > 3 ^ 24 ?

0general

the median annual household income in a certain community of 21 households is $ 50000 . if the mean r income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ?

0general

the contents of a certain box consist of 80 apples and 30 oranges . how many oranges must be added to the box so that exactly 50 % of the pieces of fruit in the box will be apples ?

0general

the sum of the squares of three numbers is 125 , while the sum of their products taken two at a time is 50 . their sum is :

0general

in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 14 , 2 ) , ( 14 , - 5 ) ?

3geometry

a man was engaged on a job for 30 days on the condition that he would get a wage of rs . 10 for the day he works , but he have to pay a fine of rs . 2 for each day of his absence . if he gets rs . 216 at the end , he was absent for work for . . . days .

1physics

if 9 ^ y = 3 ^ 16 , what is y ?

0general

the average age of 3 boys is 15 years and their ages are in proportion 3 : 5 : 7 . what is the age in years of the eldest boy ?

0general

a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 19 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ?

5other

a towel , when bleached , lost 30 % of its length and 15 % of its breadth . what is the percentage decrease in area ?

2gain

if a , b and c together can finish a piece of work in 4 days . a alone in 12 days and b in 24 days , then c alone can do it in ?

1physics

at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 15 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?

0general

the average weight of 10 persons increases by 7.2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?

0general

a fold density is 19 times greater than the water and for copper it is 9 times . at what ratio you can mix gold and copper to get 15 times denser than water . ?

0general

r is the set of positive even integers less than 50 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?

1physics

a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 45 , what is the total amount ?

0general

a jar contains a mixture of two liquids acid ( nitric acid ) and base ( ammonium chloride ) in the ratio 4 : 1 . when 10 litres of the mixture is taken out and 10 litres of liquid base is poured into the jar , the ratio becomes 2 : 3 . how many litres of liquid acid was contained in the jar ?

5other

if x + y = 4 , x - y = 36 , for integers of x and y , x = ?

0general

if c is 25 % of a and 15 % of b , what percent of a is b ?

2gain

a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 864 in total compensation , how many total hours did he work that week ?

0general

praveen starts business with rs . 3500 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ?

5other

harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?

2gain

in a group of 250 readers who read science fiction or literacy works or both , 180 read science fiction and 88 read literacy works . how many read both science fiction and literacy works ?

5other

in a certain circle there are 10 points . what is the number of the triangles connecting 5 points of the 10 points ?

3geometry

solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 14 percent alcohol by volume ?

0general

the difference between the place value and the face value of 6 in the numerical 856973 is

0general

if n = 8 ^ 8 – 5 , what is the units digit of n ?

0general

patrick purchased 80 pencils and sold them at a loss equal to the selling price of 16 pencils . the cost of 80 pencils is how many times the selling price of 80 pencils ?

0general

how many odd numbers between 10 and 1,200 are the squares of integers ?

3geometry

if 6 women take an hour to dig a ditch , then how long should 18 women take a dig to ditch of the same type ?

1physics

if the price of a book is first decreased by 50 % and then increased by 60 % , then the net change in the price will be ?

0general

if a farmer sells 15 of his chickens , his stock of feed will last for 4 more days than planned , but if he buys 10 more chickens , he will run out of feed 6 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ?

0general

a bag contains 10 red jellybeans and 10 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability q that all 3 jellybeans removed from the bag are blue ?

4probability

find the value of x from this equation ? 7 ( x - 1 ) = 21

0general

a person incurs 10 % loss by selling a watch for $ 100 . at what price should the watch be sold to earn 10 % profit ?

2gain

a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 27 , what is the total amount ?

0general

an association of mathematics teachers has 1,500 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 40 percent of the votes cast ?

2gain

to fill a tank , 25 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 3 / 5 of its present ?

1physics

salesperson a ' s compensation for any week is $ 300 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ?

0general

ritesh and co . generated revenue of rs . 1,800 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?

2gain

there are 28 stations between kolkatta and chennai . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?

1physics

a contractor is engaged for 30 days on the condition that he receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 490 in all . for how many days was he absent ?

1physics

what is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1 ?

3geometry

albert is 2 times mary ’ s age and 4 times as old as betty . mary is 10 years younger than albert . how old is betty ?

0general

a worker is paid rs . 20 / - for a full days work . he works 11 / 32 / 31 / 8.3 / 4 days in a week . what is the total amount paid for that worker ?

0general

how many odd factors does 270 have ?

5other

find a number such that when 15 is subtracted from 7 times the number , the results is more than twice the number ?

0general

having received his weekly allowance , a student spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 1.00 at the candy store . what is this student ’ s weekly allowance ?

0general

if 2 | 2 – e | = 5 , what is the sum of all the possible values for e ?

0general

the market value of a certain machine decreased by 10 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?

2gain

fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 5 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?

2gain

if | y + 5 | = 8 , what is the sum of all the possible values of y ?

0general

let n ~ be defined for all positive integers n as the remainder when ( n - 1 ) ! is divided by n . what is the value of 30 ~ ?

0general

two unbiased coins are tossed . what is the probability of getting two heads ?

4probability

a and b complete a work in 10 days . a alone can do it in 14 days . if both together can do the work in how many days ?

1physics

if jake loses 33 pounds , he will weigh twice as much as his sister . together they now weigh 153 pounds . what is jake ' s present weight , in pounds ?

0general

the value of a machine depreciates at 24 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ?

2gain

a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price v per t - shirt that the vendor paid for these purchases ?

0general

if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 120 units ?

1physics