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

Problem stringlengths 5 967	category class label 6 classes
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 8 % . what was its profit on the items sold in february ?	2gain
the diagonals of a rhombus are 15 cm and 12 cm . find its area ?	3geometry
( ? ) + 3699 + 1985 - 2047 = 31111	0general
pens , pencils and markers in a jenna ' s desk are in the ratio of 2 : 2 : 5 . if there are 10 pens , the number of markers in jenna ' s desk is :	5other
carl is facing very difficult financial times and can only pay the interest on a $ 20,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ?	2gain
how many digits are in ( 8 × 10 ^ 10 ) ( 10 × 10 ^ 5 ) ?	0general
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 4 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ?	5other
a sum of rs . 1530 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is :	0general
two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 40 hr . if all pipes are opened simultaneously , then the cistern will be filled in	1physics
if 5 men undertook a piece of construction work and finished half the job in 15 days . if two men drop out , then the job will be completed in	1physics
two trains are moving in the same direction at 144 kmph and 72 kmph . the faster train crosses a man in the slower train in 19 seconds . find the length of the faster train ?	1physics
a no . when divided by 225 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ?	0general
the radius of a cone is 14 m , slant height is 20 m . find the curved surface area ?	3geometry
a child want to buy 3 new toys . if there are 10 toys that satisfy the child ' s criteria , in how many different ways can the child select the 3 new toys if the order of selection does n ' t matter .	4probability
find the remainder of the division ( 3 ^ 15 ) / 7 .	0general
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 . 76 per kg ?	5other
what is the ratio between perimeters of two squares one having 3 times the diagonal then the other ?	3geometry
the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 72 % of the required amount . what is the net difference in the expenditure on that product ?	0general
two trains 140 m and 150 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?	1physics
a , b and c start a business each investing 20000 . after 5 months a withdrew 10000 , b withdrew 15000 and c invests 5000 more . at the end of the year , a total profit of 58000 was recorded . find the share of b .	2gain
a glass was filled with 10 ounces of water , and 0.06 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?	2gain
in a class of 25 students , 3 students did not borrow any books from the library , 11 students each borrowed 1 book , 6 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?	0general
if two painters can complete two rooms in two hours , how many painters would it take to do 18 rooms in 6 hours ?	1physics
how much space , in cubic units , is left vacant when maximum number of 7 x 7 x 7 cubes are fitted in a rectangular box measuring 14 x 21 x 17 ?	3geometry
according to a recent survey report issued by the commerce ministry , government of india , 30 % of the total fdi goes to gujarat and 20 % of this goes to rural areas . if the fdi in gujarat , which goes to urban areas , is $ 72 m , then find the size of fdi in rural andhra pradesh , which attracts 50 % of the fdi that comes to andhra pradesh , which accounts for 20 % of the total fdi ?	2gain
triangle atriangle b are similar triangles with areas 1792 units square and 2527 units square respectively . the ratio of there corresponding height would be	3geometry
a and b together have $ 1210 . if 4 / 15 of a ' s amount is equal to 2 / 5 of b ' s amount , how much amount does b have ?	0general
there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle . ?	3geometry
the speed of a boat in still water is 12 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 18 minutes is	1physics
a gambler bought $ 3000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ?	0general
a boat covers a certain distance downstream in 1 hour , while it comes back in 1 ½ hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?	1physics
simplify : 0.3 * 0.8 + 0.1 * 0.5	0general
working alone , pump a can empty a pool in 4 hours . working alone , pump b can empty the same pool in 2 hours . working together , how many minutes will it take pump a and pump b to empty the pool ?	1physics
a garrison of 2000 men has provisions for 62 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?	1physics
the diagonal of a square is the height in an equilateral triangle . if the side of the square is x , what is the side of the equilateral triangle in terms of x ?	3geometry
if p ( a ) = 6 / 17 , p ( b ) = 5 / 17 , and p ( a ∪ b ) = 4 / 17 find p ( b \| a ) ?	0general
last year elaine spent 20 % of her annual earnings on rent . this year she earned 15 % more than last year and she spent 25 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?	2gain
if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 20,000 is invested at the same interest rate , what is the interest from the investment ?	2gain
a train running at the speed of 180 km / hr crosses a pole in 18 seconds . what is the length of the train ?	1physics
a 18 % stock yielding 8 % is quoted at ?	2gain
p works 25 % more efficiently than q and q works 50 % more efficiently than r . to complete a certain project , p alone takes 50 days less than q alone . if , in this project p alone works for 60 days and then q alone works for 145 days , in how many days can r alone complete the remaining work ?	1physics
water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 180 grams of water ?	5other
a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containing 19 % alcohol and now the percentage of alcohol was found to be 26 % . the quantity of whisky replaced is :	2gain
the speed of a train is 60 kmph . what is the distance covered by it in 20 minutes ?	1physics
find the average of all the numbers between 9 and 26 which are divisible by 5 .	0general
in one hour , a boat goes 15 km / hr along the stream and 9 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :	1physics
what is the least common multiple of 12,15 , 18,27	0general
given a spinner with 4 sections of equal size labeled e , b , c , and d , what is the probability of not getting an e after spinning the spinner two times ?	0general
two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 3 carpenters build in 4 hours ?	1physics
p and q started a business investing rs . 45,000 and rs . 10,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?	2gain
find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ?	3geometry
a certain junior class has 1,200 students and a certain senior class has 800 students . among these students , there are 60 siblings pairs , each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected at will be a sibling pair ?	4probability
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 0.65 km respectively . the time taken by the slower train to cross the faster train in seconds is ?	1physics
the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 10 terms of the arithmetic progression ?	0general
a salt manufacturing company produced a total of 3000 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 ave 66 rage daily production for that year ?	0general
set x consists of the integers from 10 to 15 , inclusive , while set y consists of the integers from 5 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ?	5other
in a class of boys and girls vikas ' s rank is 9 th and tanvi ' s rank is 17 th . vikas ' s rank among the boys in that class is 4 th from the top and 18 th from the bottom and tanvi ' s rank among the girls is 8 th from top and 21 st from bottom . in the order of rank , how many girls are there between tanvi and vikas ?	5other
arjun started a business with rs . 5,000 and is joined afterwards by anoop with rs . 10 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?	0general
tom purchased 8 kg of apples at the rate of 70 per kg and 910 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
what is the value of √ 16 % ?	2gain
a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio q of revenue from car sales in 1996 to revenue from truck sales in 1996 ?	5other
a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 50 km / hr respectively . b starts two hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?	1physics
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint r , in gallons , that must be purchased in order to measure out the portions needed for the mixture ?	0general
what least number must be subtracted from 652543 so that remaining no . is divisible by 12	0general
if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 25 men in 3 days ?	1physics
if the sides of a triangle are 26 cm , 24 cm and 12 cm , what is its area ?	3geometry
in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 10 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?	2gain
carl can wash all the windows of his house in 7 hours . his wife maggie can wash all the windows in 4 hours . how many hours will it take for both of them working together to wash all the windows ?	1physics
each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 108 dollar , which she typically uses for gifts and charitable causes . what is jill ’ s net monthly salary ?	2gain
if a certain toy store ' s revenue in november was 2 / 3 of its revenue in december and its revenue in january was 1 / 3 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
the largest two digit number which is a perfect cube , is :	3geometry
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 . 2475 ?	0general
a rectangular tank measuring 5 m × 4.5 m × 2.1 m is dug in the centre of the field measuring 13.5 m × 2.5 . the earth dug out is spread evenly over the remaining portion of a field . how much is the level of the field raised ?	1physics
a batsman makes a score of 80 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning .	0general
paul has to secure 50 % marks to clear his exam of class 7 th . he got 50 marks and failed by 10 marks . what is the maximum marks ?	2gain
on a two - dimensional coordinate plane , the line s = x ^ 2 - x ^ 3 touches the x - axis in how many places ?	0general
two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m . find the top distance of both ladders ?	1physics
the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 84 ounces of this substance ?	3geometry
a batsman makes a score of 95 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning .	0general
the largest six digit number which is a perfect cube , is :	3geometry
of the three - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ?	0general
a cistern can be filled by a tap in 7 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?	1physics
16.036 divided by 0.04 gives :	0general
a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability r that you can still row the canoe ?	0general
a is the average ( arithmetic mean ) of the first 7 positive multiples of 8 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ?	0general
the population of a bacteria culture doubles every 3 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria	0general
shopkeeper rise price by 36 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?	2gain
set j consists of 18 consecutive even numbers . if the smallest term in the set is - 22 , what is the range of the positive integers in set j ?	0general
suresh and ramesh started a business investing rs . 24,000 and rs . 40,000 respectively . out of total profit of rs . 18,000 , what is suresh ' s share ?	2gain
what is the square root of 36 , divided by 6 ?	5other
a man swims downstream 32 km and upstream 24 km taking 4 hours each time , what is the speed of the man in still water ?	1physics
during a sale , the price of a pair of shoes is marked down 15 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?	2gain
a and b can do a piece of work in 18 and 9 days respectively . a does the work for a few days and left , then b continued for 6 days . how many days did a and b work together ?	1physics
a and b can finish a work in 10 days while a alone can do the same work in 20 days . in how many days b alone will complete the work ?	1physics
a combustion reaction forms carbon dioxide . a carbon dioxide molecule contains one carbon and two oxygen atoms . if , over a period of 12 minutes , a combustion reaction creates 12,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute ?	0general
8 ! / ( 8 - 2 ) ! = ?	0general
sally , mark , sarah , steve and jim are inheriting the money from their grandmother . she left them $ 527500 to split equally between all of them . if the money is split equally , how much money will each person receive ?	0general
if the cost price of 165 chocolates is equal to the selling price of 150 chocolates , the gain percent is	2gain
on a trip covering 450 km , a bicyclist travels the first 300 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?	1physics
jack and jill work at a hospital with 2 other workers . for an internal review , 2 of the 4 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?	1physics

a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 8 % . what was its profit on the items sold in february ?

2gain

the diagonals of a rhombus are 15 cm and 12 cm . find its area ?

3geometry

( ? ) + 3699 + 1985 - 2047 = 31111

0general

pens , pencils and markers in a jenna ' s desk are in the ratio of 2 : 2 : 5 . if there are 10 pens , the number of markers in jenna ' s desk is :

5other

carl is facing very difficult financial times and can only pay the interest on a $ 20,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ?

2gain

how many digits are in ( 8 × 10 ^ 10 ) ( 10 × 10 ^ 5 ) ?

0general

a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 4 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ?

5other

a sum of rs . 1530 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is :

0general

two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 40 hr . if all pipes are opened simultaneously , then the cistern will be filled in

1physics

if 5 men undertook a piece of construction work and finished half the job in 15 days . if two men drop out , then the job will be completed in

1physics

two trains are moving in the same direction at 144 kmph and 72 kmph . the faster train crosses a man in the slower train in 19 seconds . find the length of the faster train ?

1physics

a no . when divided by 225 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ?

0general

the radius of a cone is 14 m , slant height is 20 m . find the curved surface area ?

3geometry

a child want to buy 3 new toys . if there are 10 toys that satisfy the child ' s criteria , in how many different ways can the child select the 3 new toys if the order of selection does n ' t matter .

4probability

find the remainder of the division ( 3 ^ 15 ) / 7 .

0general

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 . 76 per kg ?

5other

what is the ratio between perimeters of two squares one having 3 times the diagonal then the other ?

3geometry

the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 72 % of the required amount . what is the net difference in the expenditure on that product ?

0general

two trains 140 m and 150 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?

1physics

a , b and c start a business each investing 20000 . after 5 months a withdrew 10000 , b withdrew 15000 and c invests 5000 more . at the end of the year , a total profit of 58000 was recorded . find the share of b .

2gain

a glass was filled with 10 ounces of water , and 0.06 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?

2gain

in a class of 25 students , 3 students did not borrow any books from the library , 11 students each borrowed 1 book , 6 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?

0general

if two painters can complete two rooms in two hours , how many painters would it take to do 18 rooms in 6 hours ?

1physics

how much space , in cubic units , is left vacant when maximum number of 7 x 7 x 7 cubes are fitted in a rectangular box measuring 14 x 21 x 17 ?

3geometry

according to a recent survey report issued by the commerce ministry , government of india , 30 % of the total fdi goes to gujarat and 20 % of this goes to rural areas . if the fdi in gujarat , which goes to urban areas , is $ 72 m , then find the size of fdi in rural andhra pradesh , which attracts 50 % of the fdi that comes to andhra pradesh , which accounts for 20 % of the total fdi ?

2gain

triangle atriangle b are similar triangles with areas 1792 units square and 2527 units square respectively . the ratio of there corresponding height would be

3geometry

a and b together have $ 1210 . if 4 / 15 of a ' s amount is equal to 2 / 5 of b ' s amount , how much amount does b have ?

0general

there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is seven - third that of the smaller circle . find the circumference of the smaller circle . ?

3geometry

the speed of a boat in still water is 12 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 18 minutes is

1physics

a gambler bought $ 3000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ?

0general

a boat covers a certain distance downstream in 1 hour , while it comes back in 1 ½ hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?

1physics

simplify : 0.3 * 0.8 + 0.1 * 0.5

0general

working alone , pump a can empty a pool in 4 hours . working alone , pump b can empty the same pool in 2 hours . working together , how many minutes will it take pump a and pump b to empty the pool ?

1physics

a garrison of 2000 men has provisions for 62 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?

1physics

the diagonal of a square is the height in an equilateral triangle . if the side of the square is x , what is the side of the equilateral triangle in terms of x ?

3geometry

if p ( a ) = 6 / 17 , p ( b ) = 5 / 17 , and p ( a ∪ b ) = 4 / 17 find p ( b | a ) ?

0general

last year elaine spent 20 % of her annual earnings on rent . this year she earned 15 % more than last year and she spent 25 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?

2gain

if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 20,000 is invested at the same interest rate , what is the interest from the investment ?

2gain

a train running at the speed of 180 km / hr crosses a pole in 18 seconds . what is the length of the train ?

1physics

a 18 % stock yielding 8 % is quoted at ?

2gain

p works 25 % more efficiently than q and q works 50 % more efficiently than r . to complete a certain project , p alone takes 50 days less than q alone . if , in this project p alone works for 60 days and then q alone works for 145 days , in how many days can r alone complete the remaining work ?

1physics

water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 180 grams of water ?

5other

a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containing 19 % alcohol and now the percentage of alcohol was found to be 26 % . the quantity of whisky replaced is :

2gain

the speed of a train is 60 kmph . what is the distance covered by it in 20 minutes ?

1physics

find the average of all the numbers between 9 and 26 which are divisible by 5 .

0general

in one hour , a boat goes 15 km / hr along the stream and 9 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :

1physics

what is the least common multiple of 12,15 , 18,27

0general

given a spinner with 4 sections of equal size labeled e , b , c , and d , what is the probability of not getting an e after spinning the spinner two times ?

0general

two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 3 carpenters build in 4 hours ?

1physics

p and q started a business investing rs . 45,000 and rs . 10,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?

2gain

find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ?

3geometry

a certain junior class has 1,200 students and a certain senior class has 800 students . among these students , there are 60 siblings pairs , each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected at will be a sibling pair ?

4probability

two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.10 km and 0.65 km respectively . the time taken by the slower train to cross the faster train in seconds is ?

1physics

the sum of the fourth and twelfth term of an arithmetic progression is 20 . what is the sum of the first 10 terms of the arithmetic progression ?

0general

a salt manufacturing company produced a total of 3000 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 ave 66 rage daily production for that year ?

0general

set x consists of the integers from 10 to 15 , inclusive , while set y consists of the integers from 5 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ?

5other

in a class of boys and girls vikas ' s rank is 9 th and tanvi ' s rank is 17 th . vikas ' s rank among the boys in that class is 4 th from the top and 18 th from the bottom and tanvi ' s rank among the girls is 8 th from top and 21 st from bottom . in the order of rank , how many girls are there between tanvi and vikas ?

5other

arjun started a business with rs . 5,000 and is joined afterwards by anoop with rs . 10 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?

0general

tom purchased 8 kg of apples at the rate of 70 per kg and 910 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

what is the value of √ 16 % ?

2gain

a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio q of revenue from car sales in 1996 to revenue from truck sales in 1996 ?

5other

a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 50 km / hr respectively . b starts two hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?

1physics

a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint r , in gallons , that must be purchased in order to measure out the portions needed for the mixture ?

0general

what least number must be subtracted from 652543 so that remaining no . is divisible by 12

0general

if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 25 men in 3 days ?

1physics

if the sides of a triangle are 26 cm , 24 cm and 12 cm , what is its area ?

3geometry

in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 10 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?

2gain

carl can wash all the windows of his house in 7 hours . his wife maggie can wash all the windows in 4 hours . how many hours will it take for both of them working together to wash all the windows ?

1physics

each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 108 dollar , which she typically uses for gifts and charitable causes . what is jill ’ s net monthly salary ?

2gain

if a certain toy store ' s revenue in november was 2 / 3 of its revenue in december and its revenue in january was 1 / 3 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

the largest two digit number which is a perfect cube , is :

3geometry

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 . 2475 ?

0general

a rectangular tank measuring 5 m × 4.5 m × 2.1 m is dug in the centre of the field measuring 13.5 m × 2.5 . the earth dug out is spread evenly over the remaining portion of a field . how much is the level of the field raised ?

1physics

a batsman makes a score of 80 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning .

0general

paul has to secure 50 % marks to clear his exam of class 7 th . he got 50 marks and failed by 10 marks . what is the maximum marks ?

2gain

on a two - dimensional coordinate plane , the line s = x ^ 2 - x ^ 3 touches the x - axis in how many places ?

0general

two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m . find the top distance of both ladders ?

1physics

the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 84 ounces of this substance ?

3geometry

a batsman makes a score of 95 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning .

0general

the largest six digit number which is a perfect cube , is :

3geometry

of the three - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ?

0general

a cistern can be filled by a tap in 7 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?

1physics

16.036 divided by 0.04 gives :

0general

a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability r that you can still row the canoe ?

0general

a is the average ( arithmetic mean ) of the first 7 positive multiples of 8 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ?

0general

the population of a bacteria culture doubles every 3 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria

0general

shopkeeper rise price by 36 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ?

2gain

set j consists of 18 consecutive even numbers . if the smallest term in the set is - 22 , what is the range of the positive integers in set j ?

0general

suresh and ramesh started a business investing rs . 24,000 and rs . 40,000 respectively . out of total profit of rs . 18,000 , what is suresh ' s share ?

2gain

what is the square root of 36 , divided by 6 ?

5other

a man swims downstream 32 km and upstream 24 km taking 4 hours each time , what is the speed of the man in still water ?

1physics

during a sale , the price of a pair of shoes is marked down 15 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?

2gain

a and b can do a piece of work in 18 and 9 days respectively . a does the work for a few days and left , then b continued for 6 days . how many days did a and b work together ?

1physics

a and b can finish a work in 10 days while a alone can do the same work in 20 days . in how many days b alone will complete the work ?

1physics

a combustion reaction forms carbon dioxide . a carbon dioxide molecule contains one carbon and two oxygen atoms . if , over a period of 12 minutes , a combustion reaction creates 12,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute ?

0general

8 ! / ( 8 - 2 ) ! = ?

0general

sally , mark , sarah , steve and jim are inheriting the money from their grandmother . she left them $ 527500 to split equally between all of them . if the money is split equally , how much money will each person receive ?

0general

if the cost price of 165 chocolates is equal to the selling price of 150 chocolates , the gain percent is

2gain

on a trip covering 450 km , a bicyclist travels the first 300 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?

1physics

jack and jill work at a hospital with 2 other workers . for an internal review , 2 of the 4 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?

1physics