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

Problem stringlengths 5 967	category class label 6 classes
a train 280 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?	1physics
a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 30 paise per sq m is	1physics
3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 5 men and 2 women will do that task .	1physics
a sum of money at simple interest amounts to rs . 824 in 3 years and to rs . 854 in 4 years . the sum is :	2gain
6 boysand 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work	1physics
a , b and c have rs . 250 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?	0general
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1947 , what is the value of n ?	0general
a boat can travel with a speed of 14 km / hr in still water . if the speed of the stream is 6 km / hr , find the time taken by the boat to go 72 km downstream .	1physics
if x is equal to the sum of the integers from 40 to 60 , inclusive , and y is the number of even integers from 40 to 60 , inclusive , what is the value of x + y ?	0general
the average age of 36 students in a group is 15 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?	0general
how many paying stones , each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board ?	1physics
convert the 12 / 36 m / s into kilometers per hour ?	1physics
a two digit number is 18 less than the sum of the squares of its digits . how many such numbers are there ?	0general
what is the sum of all remainders obtained when the first 100 natural numbers are divided by 7 ?	0general
rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 4 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ?	3geometry
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 7 / 10 of its present ?	1physics
the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 46 kg , then the weight of b is :	0general
two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 2 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?	5other
in covering a distance of 30 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :	1physics
a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 2.05 ?	0general
the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 14.25 , what is the perimeter of the garden , in feet ?	3geometry
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 2 % his yearly income diminishes by rs . 61.50 . his capital is	2gain
a fruit seller had some oranges . he sells 20 % oranges and still has 380 oranges . how many oranges he had originally ?	2gain
find the mean proportional between 25 & 36 ?	0general
the compound ratio of 2 / 5 , 6 / 7 , 1 / 3 and 1 / 8 is given by ?	5other
p , q and r can do a work in 5 , 7 and 10 days respectively . they completed the work and got rs . 310 . what is the share of q and r respectively ?	1physics
what is the average ( arithmetic mean ) of the numbers 16 , 17 , 18 , 19 and 20 ?	0general
a , b and c rents a pasture for rs . 841 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?	0general
a reduction of 21 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?	2gain
a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 500 that a person who randomly guesses the answer to each question will be a winner ?	0general
what is the least number should be added to 1156 , so the sum of the number is completely divisible by 25 ?	0general
the youngest of 4 children has siblings who are 4 , 5 , and 7 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 21 , what is the age of the youngest sibling ?	0general
a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 500 when the rate to profit rises from 5 to 7 percent . find the capital of b ?	0general
in a kilometer race , a beats b by 50 meters or 10 seconds . what time does a take to complete the race ?	1physics
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively . how many km apart they are at the end of 6 ½ hours if they are walking in the same direction ?	1physics
the average of 8 numbers is 25 , that of the first 2 is 20 and of the next 3 is 26 . the sixth number is less than the seventh by 4 , and less than the eighth by 6 . the last number is	0general
18 : 12 seconds : : ? : 6 minutes	1physics
a ship going at the speed of 18 km / hr crosses a light house in 20 seconds . what is the length of the train ?	1physics
matt and peter can do together a piece of work in 20 days . after they have worked together for 12 days peter stops and peter completes the remaining work in 10 days . in how many days matt complete the work separately .	1physics
set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 7 ?	0general
a number is increased by 30 % and then decreased by 30 % . find the net increase or decrease per cent .	0general
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 27 , find the value of ab .	0general
a man can row his boat with the stream at 19 km / h and against the stream in 11 km / h . the man ' s rate is ?	2gain
kamal ' s salary was decreased by 50 % and subsequently increased by 30 % . how much percent does he lose ?	0general
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 10 percent , respectively . if the total interest on the two certificates was $ 1,440 at the end of one year , what fractional part of the $ 20.000 was invested at the higher rate ?	2gain
the ratio of a to b to c is 2 to 3 to 4 , and a , b , c are positive integers . if the average ( arithmetic mean ) of the 3 numbers is 42 , what is the value of a ?	0general
what is the dividend . divisor 18 , the quotient is 9 and the remainder is 4	0general
in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 174 votes . find the total number of valid votes ?	2gain
if the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is ?	1physics
a train 125 m long passes a man , running at 8 km / hr in the same direction in which the train is going , in 10 sec . the speed of the train is ?	1physics
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?	5other
the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 880 square meters , what is the depth of the channel ( in meters ) ?	1physics
1 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ?	0general
in what time will a train 100 m long cross an electric pole , it its speed be 162 km / hr ?	1physics
which number need to add to 956734 to get a number exactly divisible by 412 ?	0general
a man walking at a rate of 15 km / hr crosses a bridge in 40 minutes . the length of the bridge is ?	2gain
a circular wheel radius is 1.75 m . for covering 11 k . m how much time it revolve ?	1physics
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 2 ounces of corn syrup , how many ounces of water does it contain ?	5other
0.0006688 / 0.0000150 x 19.85 = ?	0general
find the highest value of ' a ' so that 365 a 24 is divisible by 8 .	0general
in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 70 as quotient . what is the correct quotient ?	0general
last year a certain bond price with a face value of 5000 yielded 6 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?	2gain
if 5 log ( 4 * 5 ^ 2 ) = x , find x	0general
there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 58 %	2gain
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 14 . if p invested the money for 5 months , find for how much time did q invest the money ?	2gain
the population of a town is 7500 . it decreases annually at the rate of 10 % p . a . what was its population 2 years ago ?	2gain
a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ?	3geometry
how many of the positive factors of 24 , 16 and how many common factors are there in numbers ?	5other
a company pays 12.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?	2gain
a box contains 10 tablets of medicine a and 13 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted .	0general
what is the smallest number which , when increased by 7 , is divisible by 7 , 8 , and 24 ?	0general
find the simple interest on rs . 73,000 at 16 2 / 3 % per year for 9 months .	2gain
find large number from below question the difference of 2 no . ' s is 1365 . on dividing the larger no . by the smaller , we get 6 as quotient and the 15 as remainder ?	0general
calculate the speed of a boat in still water ( in km / hr ) if in one hour , the boat goes at 13 km / hr downstream and 4 km / hr upstream .	1physics
two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 7 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?	1physics
car dealership x , the total profit from sales increased by 10 percent over the previous years , while the number of cars sold decreased by 10 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .	0general
of 70 players on a football team , 28 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ?	0general
on a certain day , tim invested $ 500 at 10 percent annual interest , compounded annually , and lana invested 900 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?	2gain
a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ?	3geometry
sam invested rs . 5000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?	2gain
a person incurs 20 % loss by selling a watch for $ 1000 . at what price should the watch be sold to earn 20 % profit ?	2gain
a , b and c can complete a piece of work in 24 , 6 and 12 days respectively . working together , they will complete the same work in :	1physics
a man covered a certain distance at some speed . had he moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . the distance ( in km ) is :	1physics
two pipes a and b can fill a cistern in 20 and 30 minutes respectively , and a third pipe c can empty it in 60 minutes . how long will it take to fill the cistern if all the three are opened at the same time ?	1physics
a shoe merchant has declared a 10 % rebate in prices . how much rebate would one get if he purchases 5 pairs of shoes at rs . 28 each ?	2gain
if the average of 8 digits is 20 and the average of 5 of them is 12 , calculate the average of the remaining 3 numbers ?	0general
in a restaurant , the profit is 120 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?	2gain
a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?	0general
a shop owner sells 30 mtr of cloth and gains sp of 10 mtrs . find the gain % ?	2gain
a certain dark blue paint contains 40 percent blue pigment and 60 percent red pigment by weight . a certain green paint contains 40 percent blue pigment and 60 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?	2gain
in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds x in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?	0general
if ( a – b ) is 13 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :	0general
how many integers between 1 and 1,400 are divisible by 25 , and 35 ?	0general
rahul can done a work in 5 days and meena can done a work in 10 days . in how many days that both are work together ?	1physics
a bicycle wheel has a diameter of 0.75 m . how many complete revolutions does it make in 1 km ?	1physics
country x taxes each of its citizens an amount equal to 15 percent of the first $ 40,000 of income , plus 20 percent of all income in excess of $ 40,000 . if a citizen of country x is taxed a total of $ 8,000 , what is her income ?	0general
if a ^ 2 + b ^ 2 = 10 and ab = 10 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ?	0general
a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 8 , ab = 5 and ac = 11 , what is the length of ae ?	1physics
on a windy day , out of every 3 sand dunes formed , only 1 remains . out of 5 blown - out sand - dunes , 1 has treasure and only 2 out of 3 sand dunes formed have lucky coupons . find the probability that the blown - out sand dune will contain both the things .	4probability
in the faculty of reverse - engineering , 250 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?	0general

a train 280 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?

1physics

a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 30 paise per sq m is

1physics

3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 5 men and 2 women will do that task .

1physics

a sum of money at simple interest amounts to rs . 824 in 3 years and to rs . 854 in 4 years . the sum is :

2gain

6 boysand 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work

1physics

a , b and c have rs . 250 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?

0general

a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1947 , what is the value of n ?

0general

a boat can travel with a speed of 14 km / hr in still water . if the speed of the stream is 6 km / hr , find the time taken by the boat to go 72 km downstream .

1physics

if x is equal to the sum of the integers from 40 to 60 , inclusive , and y is the number of even integers from 40 to 60 , inclusive , what is the value of x + y ?

0general

the average age of 36 students in a group is 15 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?

0general

how many paying stones , each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board ?

1physics

convert the 12 / 36 m / s into kilometers per hour ?

1physics

a two digit number is 18 less than the sum of the squares of its digits . how many such numbers are there ?

0general

what is the sum of all remainders obtained when the first 100 natural numbers are divided by 7 ?

0general

rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 4 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ?

3geometry

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 7 / 10 of its present ?

1physics

the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 46 kg , then the weight of b is :

0general

two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 2 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?

5other

in covering a distance of 30 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :

1physics

a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 2.05 ?

0general

the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 14.25 , what is the perimeter of the garden , in feet ?

3geometry

a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 2 % his yearly income diminishes by rs . 61.50 . his capital is

2gain

a fruit seller had some oranges . he sells 20 % oranges and still has 380 oranges . how many oranges he had originally ?

2gain

find the mean proportional between 25 & 36 ?

0general

the compound ratio of 2 / 5 , 6 / 7 , 1 / 3 and 1 / 8 is given by ?

5other

p , q and r can do a work in 5 , 7 and 10 days respectively . they completed the work and got rs . 310 . what is the share of q and r respectively ?

1physics

what is the average ( arithmetic mean ) of the numbers 16 , 17 , 18 , 19 and 20 ?

0general

a , b and c rents a pasture for rs . 841 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?

0general

a reduction of 21 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?

2gain

a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 500 that a person who randomly guesses the answer to each question will be a winner ?

0general

what is the least number should be added to 1156 , so the sum of the number is completely divisible by 25 ?

0general

the youngest of 4 children has siblings who are 4 , 5 , and 7 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 21 , what is the age of the youngest sibling ?

0general

a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 500 when the rate to profit rises from 5 to 7 percent . find the capital of b ?

0general

in a kilometer race , a beats b by 50 meters or 10 seconds . what time does a take to complete the race ?

1physics

two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively . how many km apart they are at the end of 6 ½ hours if they are walking in the same direction ?

1physics

the average of 8 numbers is 25 , that of the first 2 is 20 and of the next 3 is 26 . the sixth number is less than the seventh by 4 , and less than the eighth by 6 . the last number is

0general

18 : 12 seconds : : ? : 6 minutes

1physics

a ship going at the speed of 18 km / hr crosses a light house in 20 seconds . what is the length of the train ?

1physics

matt and peter can do together a piece of work in 20 days . after they have worked together for 12 days peter stops and peter completes the remaining work in 10 days . in how many days matt complete the work separately .

1physics

set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 7 ?

0general

a number is increased by 30 % and then decreased by 30 % . find the net increase or decrease per cent .

0general

if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 27 , find the value of ab .

0general

a man can row his boat with the stream at 19 km / h and against the stream in 11 km / h . the man ' s rate is ?

2gain

kamal ' s salary was decreased by 50 % and subsequently increased by 30 % . how much percent does he lose ?

0general

a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 10 percent , respectively . if the total interest on the two certificates was $ 1,440 at the end of one year , what fractional part of the $ 20.000 was invested at the higher rate ?

2gain

the ratio of a to b to c is 2 to 3 to 4 , and a , b , c are positive integers . if the average ( arithmetic mean ) of the 3 numbers is 42 , what is the value of a ?

0general

what is the dividend . divisor 18 , the quotient is 9 and the remainder is 4

0general

in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 174 votes . find the total number of valid votes ?

2gain

if the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is ?

1physics

a train 125 m long passes a man , running at 8 km / hr in the same direction in which the train is going , in 10 sec . the speed of the train is ?

1physics

two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?

5other

the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 880 square meters , what is the depth of the channel ( in meters ) ?

1physics

1 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ?

0general

in what time will a train 100 m long cross an electric pole , it its speed be 162 km / hr ?

1physics

which number need to add to 956734 to get a number exactly divisible by 412 ?

0general

a man walking at a rate of 15 km / hr crosses a bridge in 40 minutes . the length of the bridge is ?

2gain

a circular wheel radius is 1.75 m . for covering 11 k . m how much time it revolve ?

1physics

in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 2 ounces of corn syrup , how many ounces of water does it contain ?

5other

0.0006688 / 0.0000150 x 19.85 = ?

0general

find the highest value of ' a ' so that 365 a 24 is divisible by 8 .

0general

in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 70 as quotient . what is the correct quotient ?

0general

last year a certain bond price with a face value of 5000 yielded 6 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?

2gain

if 5 log ( 4 * 5 ^ 2 ) = x , find x

0general

there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 58 %

2gain

the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 14 . if p invested the money for 5 months , find for how much time did q invest the money ?

2gain

the population of a town is 7500 . it decreases annually at the rate of 10 % p . a . what was its population 2 years ago ?

2gain

a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ?

3geometry

how many of the positive factors of 24 , 16 and how many common factors are there in numbers ?

5other

a company pays 12.5 % dividend to its investors . if an investor buys rs . 50 shares and gets 25 % on investment , at what price did the investor buy the shares ?

2gain

a box contains 10 tablets of medicine a and 13 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted .

0general

what is the smallest number which , when increased by 7 , is divisible by 7 , 8 , and 24 ?

0general

find the simple interest on rs . 73,000 at 16 2 / 3 % per year for 9 months .

2gain

find large number from below question the difference of 2 no . ' s is 1365 . on dividing the larger no . by the smaller , we get 6 as quotient and the 15 as remainder ?

0general

calculate the speed of a boat in still water ( in km / hr ) if in one hour , the boat goes at 13 km / hr downstream and 4 km / hr upstream .

1physics

two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 7 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?

1physics

car dealership x , the total profit from sales increased by 10 percent over the previous years , while the number of cars sold decreased by 10 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .

0general

of 70 players on a football team , 28 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ?

0general

on a certain day , tim invested $ 500 at 10 percent annual interest , compounded annually , and lana invested 900 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?

2gain

a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ?

3geometry

sam invested rs . 5000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?

2gain

a person incurs 20 % loss by selling a watch for $ 1000 . at what price should the watch be sold to earn 20 % profit ?

2gain

a , b and c can complete a piece of work in 24 , 6 and 12 days respectively . working together , they will complete the same work in :

1physics

a man covered a certain distance at some speed . had he moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . the distance ( in km ) is :

1physics

two pipes a and b can fill a cistern in 20 and 30 minutes respectively , and a third pipe c can empty it in 60 minutes . how long will it take to fill the cistern if all the three are opened at the same time ?

1physics

a shoe merchant has declared a 10 % rebate in prices . how much rebate would one get if he purchases 5 pairs of shoes at rs . 28 each ?

2gain

if the average of 8 digits is 20 and the average of 5 of them is 12 , calculate the average of the remaining 3 numbers ?

0general

in a restaurant , the profit is 120 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?

2gain

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

0general

a shop owner sells 30 mtr of cloth and gains sp of 10 mtrs . find the gain % ?

2gain

a certain dark blue paint contains 40 percent blue pigment and 60 percent red pigment by weight . a certain green paint contains 40 percent blue pigment and 60 percent yellow pigment . when these paints are mixed to produce a brown paint , the brown paint contains 40 percent blue pigment . if the brown paint weighs 10 grams , then the red pigment contributes how many grams of that weight ?

2gain

in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds x in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?

0general

if ( a – b ) is 13 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :

0general

how many integers between 1 and 1,400 are divisible by 25 , and 35 ?

0general

rahul can done a work in 5 days and meena can done a work in 10 days . in how many days that both are work together ?

1physics

a bicycle wheel has a diameter of 0.75 m . how many complete revolutions does it make in 1 km ?

1physics

country x taxes each of its citizens an amount equal to 15 percent of the first $ 40,000 of income , plus 20 percent of all income in excess of $ 40,000 . if a citizen of country x is taxed a total of $ 8,000 , what is her income ?

0general

if a ^ 2 + b ^ 2 = 10 and ab = 10 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ?

0general

a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 8 , ab = 5 and ac = 11 , what is the length of ae ?

1physics

on a windy day , out of every 3 sand dunes formed , only 1 remains . out of 5 blown - out sand - dunes , 1 has treasure and only 2 out of 3 sand dunes formed have lucky coupons . find the probability that the blown - out sand dune will contain both the things .

4probability

in the faculty of reverse - engineering , 250 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?

0general