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

Problem stringlengths 5 967	category class label 6 classes
a shirt goes on sale for 50 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?	2gain
each child has 2 pencils and 13 skittles . if there are 8 children , how many pencils are there in total ?	0general
in what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way ?	1physics
sachin is younger than rahul by 9 years . if the ratio of their ages is 7 : 9 , find the age of sachin	5other
a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 245 , then how much amount should c pay as his share of rent ?	0general
find the probability that a number selected from numbers 1 , 2 , 3 , . . . , 35 is a prime number , when each of the given numbers is equally likely to be selected ?	4probability
if 5 machines can produce 20 units in 10 hours , how long would it take 10 to produce 60 units ?	1physics
a and b started a business jointly a ' s investment was thrice the investment of b and the period of his investment was two times the period of investment of b . if b received rs . 4000 as profit , then their total profit is ?	0general
the average ( arithmetic mean ) of 27 , 32 , and 64 is 6 less than the average of 29 , 42 , and x . what is x ?	0general
in a class of 40 students , 10 did not opt for math . 15 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ?	5other
a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 15 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?	1physics
sahil purchased a machine at rs 14000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .	2gain
the salary of a person was reduced by 50 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?	2gain
the average of first seven multiples of 3 is :	0general
there are 25 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?	1physics
look carefully for the pattern , and then choose which pair of numbers comes next . 28 25 5 21 18 5 14	0general
if in a cricket one day match , there were no wide balls , no wides , no extras and no overthrows . what is the maximum number of runs that a batsman can score in 35 overs in an ideal case scenario ?	1physics
there is a total of 90 marbles in a box , each of which is red , green , blue , or white . if one marble is drawn from the box at random , the probability that it will be white is 1 / 3 and the probability that it will be green is 1 / 5 . what is the probability that the marble will be either red or blue ?	0general
10 , 15 , 22.5 , 33.75 , 50.62 , ( . . . )	0general
a coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed . if 8 possible outcomes are equally likely . find the probability that the die shows a number greater than 4 , if it is known that the first throw of the coin results in a tail	4probability
john purchased a grinder and a mobile for rs . 15000 & rs . 10000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 % . overall how much he make a profit .	2gain
a boat crossed a lake from north to east at the speed of 10 km / h , entered a river and covered twice as much distance going upstream at 9 km / h . it then turned around and stopped at the south shore of the lake . if it averaged 3.8 km / h that day , what was its approximate downstream speed ?	0general
a train covers a distance of 20 km in 20 min . if it takes 9 sec to pass a telegraph post , then the length of the train is ?	1physics
a 180 m long train is running at 72 kmph . if it crossed the platform in 20 sec . then find the platform length ?	1physics
two cars start at the same time from opposite ends of a highway that is 333 miles long . one car is riding at 54 mph and the second car is riding at 57 mph . how long after they begin will they meet ?	1physics
it takes joey the postman 1 hours to run a 1 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 5 mile / hour , what is the speed with which joey returns ?	1physics
the average weight of a class is x pounds . when a new student weighing 70 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ?	0general
the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 6500 , brokerage being 1 / 4 % , is :	2gain
a factory produces 5500 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?	1physics
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 1 and 100 ?	0general
the average weight of a , b , c is 45 kg . the avg wgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b .	0general
what is the area of a circle with the circumference of 88 cms ?	3geometry
how many different positive integers exist between 10 ^ 2 and 10 ^ 3 , the sum of whose digits is equal to 2 ?	0general
how many litres of pure acid are there in 8 litres of a 20 % solution	2gain
evaluate : 1024 x 237 + 976 x 237	0general
gary ’ s gas station serves an average of 16 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary ’ s station serve over the course of a typical week ?	1physics
what is the remainder when 81 + 82 + 83 … … + 815 is divided by 6	0general
the avg weight of a , b & c is 50 kg . if d joins the group , the avg weight of the group becomes 53 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 51 kg . what is the weight of a ?	0general
in an election between two candidates , the winner has a margin of 20 % of the votes polled . if 3000 people change their mind and vote for the loser , the loser would have won by a margin of 20 % of the votes polled . find the total number of votes polled in the election ?	2gain
p , q and r have $ 5000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?	0general
a , b , c can do a piece of work in 20 days , 30 days and 40 days respectively , working alone . how soon can the work be done if a is assisted by b and c on alternate days ?	1physics
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 16 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?	2gain
an investment yields an interest payment of $ 216 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?	2gain
you have a 6 - sided cube and 6 cans of paint , each a different color . you may not mix colors of paint . how many distinct ways can you paint the cube using a different color for each side ? ( if you can reorient a cube to look like another cube , then the two cubes are not distinct . )	0general
sides of a rectangular park are in the ratio 3 : 2 and its area is 1536 sq m , the cost of fencing it at 50 ps per meter is ?	1physics
one half of a two digit number exceeds its one third by 8 . what is the sum of the digits of the number ?	0general
one night 18 percent of the female officers on a police force were on duty . if 144 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?	2gain
a shirt goes on sale for 70 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?	2gain
a 250 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?	1physics
3 candidates in an election and received 2500 , 5000 and 15000 votes respectively . what % of the total votes did the winningcandidate got in that election ?	2gain
an auction house charges a commission of 15 % on the first $ 50000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50000 . what was the price of a painting for which the house charged a total commission of $ 24000 ?	0general
laura took out a charge account at the general store and agreed to pay 4 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?	0general
a boat running up stram takes 6 hours to cover a certain distance , while it takes 10 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ?	1physics
how many of the integers between 10 and 40 are even ?	0general
for a race a distance of 224 meters can be covered by p in 28 seconds and q in 32 seconds . by what distance does p defeat q eventually ?	1physics
jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume , respectively . if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid , approximately how many liters of the 12 percent solution will be required ?	2gain
in a class of 35 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 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
find avrg speed if a man travels at speed of 24 km / hr up and 36 km / hr dawn at an altitude of 200 m .	1physics
a watch was sold at a loss of 36 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?	2gain
what is the probability that jamie and tom will get selected for a job they both applied for in a company , given that their chances of getting selected is 2 / 3 and 5 / 7 respectively ?	4probability
weights of two friends ram and shyam are in the ratio 4 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?	2gain
a man invests in a 16 % stock at 128 . the interest obtained by him is :	2gain
if a certain computer is capable of printing 4900 monthly credit card bills per hour , while a new model is capable of printing at a rate of 6600 per hour , the old model will take approximately how much longer than the new model to print 10000 bills ?	0general
the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?	0general
if a book is sold at 8 % profit instead of 8 % loss , it would have brought rs 12 more . find out the cost price of the book	2gain
if a is the smallest positive integer such that 3150 multiplied by a is the square of an integer , then a must be	3geometry
calculate how long it will take a swimmer to swim a distance of 3 km against the current of a river which flows at 1.7 km / hr , given that he can swim in still water at 3 km / h	2gain
crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 35 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?	0general
find a two digit number , given that the sum of the digits is 13 and the difference of the digits is 5 . ?	0general
a can do a work in 24 days and b can do it in 16 days . in how many days a and b can do the work ?	1physics
mike earns $ 14 per hour and phil earns $ 7 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ?	0general
albert is 2 times mary ’ s age and 4 times as old as betty . mary is 8 years younger than albert . how old is betty ?	0general
a manufacturer is using glass as the surface for the multi - touch screen of its smartphone . the glass on the manufactured phone has a 4 % probability of not passing quality control tests . the quality control manager bundles the smartphone in groups of 10 . if that bundle has any smartphone that does not pass the quality control test , the entire bundle of 10 is rejected . what is the probability that a smartphone bundle that will be rejected by quality control ?	0general
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ?	3geometry
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 6 % . what is population of after 2 year .	0general
crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 30 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?	0general
if ( 1 / 2 ) ^ 16 ( 1 / 81 ) ^ k = 1 / 18 ^ 16 , then k =	0general
excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 35 kmph . for how many minutes does the bus stop per hour ?	1physics
in triangle pqr , the angle q = 90 degree , pq = 3 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz	3geometry
an engineer undertakes a project to build a road 15 km long in 300 days and employs 40 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .	1physics
the average age of 25 students of a class is 25 years . out of these , the average age of 10 students is 22 years and that of the other 14 students is 28 years . the age of the 25 th student is ?	0general
how many numbers between 1000 and 5000 are exactly divisible by 225 ?	0general
a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 20 inches . find b .	3geometry
anita has 360 apples . there are 60 students are studying in her class . she would like to give each student the same amount of apples , how much should she give to each student ?	0general
a number is increased by 60 % and then decreased by 60 % . find the net increase or decrease per cent .	0general
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 36 â ° is ?	3geometry
6 persons standing in queue with different age group , after two years their average age will be 43 and seventh person joined with them . hence the current average age has become 45 . find the age of seventh person ?	0general
one fourth of a solution that was 15 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?	2gain
every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 1600 ?	0general
how many unique positive odd integers less than 110 are equal to the product of a positive multiple of 5 and an odd number ?	0general
if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m , what is its area ?	3geometry
every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 72 , how many more green disks than blue disks are in the bag ?	0general
an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 40.5 meters . how many times did the ball bounce ?	0general
what is the probability of getting atmost one head when two unbiased coin are tossed ?	4probability
if 5 x + 3 = 10 x – 22 , what is the value of x ?	0general
a jogger running at 9 km / hr along side a railway track is 270 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?	0general
the speed of a boat in still water in 26 km / hr and the rate of current is 6 km / hr . the distance travelled downstream in 20 minutes is :	1physics
find the average of all the numbers between 6 and 39 which are divisible by 5 ?	0general
add : + 47 and - 27	0general
a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet . what is its area , in square feet ?	3geometry

a shirt goes on sale for 50 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?

2gain

each child has 2 pencils and 13 skittles . if there are 8 children , how many pencils are there in total ?

0general

in what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way ?

1physics

sachin is younger than rahul by 9 years . if the ratio of their ages is 7 : 9 , find the age of sachin

5other

a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 245 , then how much amount should c pay as his share of rent ?

0general

find the probability that a number selected from numbers 1 , 2 , 3 , . . . , 35 is a prime number , when each of the given numbers is equally likely to be selected ?

4probability

if 5 machines can produce 20 units in 10 hours , how long would it take 10 to produce 60 units ?

1physics

a and b started a business jointly a ' s investment was thrice the investment of b and the period of his investment was two times the period of investment of b . if b received rs . 4000 as profit , then their total profit is ?

0general

the average ( arithmetic mean ) of 27 , 32 , and 64 is 6 less than the average of 29 , 42 , and x . what is x ?

0general

in a class of 40 students , 10 did not opt for math . 15 did not opt for science and 2 did not opt for either . how many students of the class opted for both math and science ?

5other

a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 15 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?

1physics

sahil purchased a machine at rs 14000 , then got it repaired at rs 5000 , then gave its transportation charges rs 1000 . then he sold it with 50 % of profit . at what price he actually sold it .

2gain

the salary of a person was reduced by 50 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?

2gain

the average of first seven multiples of 3 is :

0general

there are 25 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?

1physics

look carefully for the pattern , and then choose which pair of numbers comes next . 28 25 5 21 18 5 14

0general

if in a cricket one day match , there were no wide balls , no wides , no extras and no overthrows . what is the maximum number of runs that a batsman can score in 35 overs in an ideal case scenario ?

1physics

there is a total of 90 marbles in a box , each of which is red , green , blue , or white . if one marble is drawn from the box at random , the probability that it will be white is 1 / 3 and the probability that it will be green is 1 / 5 . what is the probability that the marble will be either red or blue ?

0general

10 , 15 , 22.5 , 33.75 , 50.62 , ( . . . )

0general

a coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed . if 8 possible outcomes are equally likely . find the probability that the die shows a number greater than 4 , if it is known that the first throw of the coin results in a tail

4probability

john purchased a grinder and a mobile for rs . 15000 & rs . 10000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 % . overall how much he make a profit .

2gain

a boat crossed a lake from north to east at the speed of 10 km / h , entered a river and covered twice as much distance going upstream at 9 km / h . it then turned around and stopped at the south shore of the lake . if it averaged 3.8 km / h that day , what was its approximate downstream speed ?

0general

a train covers a distance of 20 km in 20 min . if it takes 9 sec to pass a telegraph post , then the length of the train is ?

1physics

a 180 m long train is running at 72 kmph . if it crossed the platform in 20 sec . then find the platform length ?

1physics

two cars start at the same time from opposite ends of a highway that is 333 miles long . one car is riding at 54 mph and the second car is riding at 57 mph . how long after they begin will they meet ?

1physics

it takes joey the postman 1 hours to run a 1 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 5 mile / hour , what is the speed with which joey returns ?

1physics

the average weight of a class is x pounds . when a new student weighing 70 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ?

0general

the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 6500 , brokerage being 1 / 4 % , is :

2gain

a factory produces 5500 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?

1physics

for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 1 and 100 ?

0general

the average weight of a , b , c is 45 kg . the avg wgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b .

0general

what is the area of a circle with the circumference of 88 cms ?

3geometry

how many different positive integers exist between 10 ^ 2 and 10 ^ 3 , the sum of whose digits is equal to 2 ?

0general

how many litres of pure acid are there in 8 litres of a 20 % solution

2gain

evaluate : 1024 x 237 + 976 x 237

0general

gary ’ s gas station serves an average of 16 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary ’ s station serve over the course of a typical week ?

1physics

what is the remainder when 81 + 82 + 83 … … + 815 is divided by 6

0general

the avg weight of a , b & c is 50 kg . if d joins the group , the avg weight of the group becomes 53 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 51 kg . what is the weight of a ?

0general

in an election between two candidates , the winner has a margin of 20 % of the votes polled . if 3000 people change their mind and vote for the loser , the loser would have won by a margin of 20 % of the votes polled . find the total number of votes polled in the election ?

2gain

p , q and r have $ 5000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?

0general

a , b , c can do a piece of work in 20 days , 30 days and 40 days respectively , working alone . how soon can the work be done if a is assisted by b and c on alternate days ?

1physics

a $ 500 investment and a $ 1,500 investment have a combined yearly return of 16 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?

2gain

an investment yields an interest payment of $ 216 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?

2gain

you have a 6 - sided cube and 6 cans of paint , each a different color . you may not mix colors of paint . how many distinct ways can you paint the cube using a different color for each side ? ( if you can reorient a cube to look like another cube , then the two cubes are not distinct . )

0general

sides of a rectangular park are in the ratio 3 : 2 and its area is 1536 sq m , the cost of fencing it at 50 ps per meter is ?

1physics

one half of a two digit number exceeds its one third by 8 . what is the sum of the digits of the number ?

0general

one night 18 percent of the female officers on a police force were on duty . if 144 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?

2gain

a shirt goes on sale for 70 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ?

2gain

a 250 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?

1physics

3 candidates in an election and received 2500 , 5000 and 15000 votes respectively . what % of the total votes did the winningcandidate got in that election ?

2gain

an auction house charges a commission of 15 % on the first $ 50000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50000 . what was the price of a painting for which the house charged a total commission of $ 24000 ?

0general

laura took out a charge account at the general store and agreed to pay 4 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?

0general

a boat running up stram takes 6 hours to cover a certain distance , while it takes 10 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ?

1physics

how many of the integers between 10 and 40 are even ?

0general

for a race a distance of 224 meters can be covered by p in 28 seconds and q in 32 seconds . by what distance does p defeat q eventually ?

1physics

jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume , respectively . if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid , approximately how many liters of the 12 percent solution will be required ?

2gain

in a class of 35 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 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

find avrg speed if a man travels at speed of 24 km / hr up and 36 km / hr dawn at an altitude of 200 m .

1physics

a watch was sold at a loss of 36 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?

2gain

what is the probability that jamie and tom will get selected for a job they both applied for in a company , given that their chances of getting selected is 2 / 3 and 5 / 7 respectively ?

4probability

weights of two friends ram and shyam are in the ratio 4 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?

2gain

a man invests in a 16 % stock at 128 . the interest obtained by him is :

2gain

if a certain computer is capable of printing 4900 monthly credit card bills per hour , while a new model is capable of printing at a rate of 6600 per hour , the old model will take approximately how much longer than the new model to print 10000 bills ?

0general

the difference of two numbers is 1385 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?

0general

if a book is sold at 8 % profit instead of 8 % loss , it would have brought rs 12 more . find out the cost price of the book

2gain

if a is the smallest positive integer such that 3150 multiplied by a is the square of an integer , then a must be

3geometry

calculate how long it will take a swimmer to swim a distance of 3 km against the current of a river which flows at 1.7 km / hr , given that he can swim in still water at 3 km / h

2gain

crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 35 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?

0general

find a two digit number , given that the sum of the digits is 13 and the difference of the digits is 5 . ?

0general

a can do a work in 24 days and b can do it in 16 days . in how many days a and b can do the work ?

1physics

mike earns $ 14 per hour and phil earns $ 7 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ?

0general

albert is 2 times mary ’ s age and 4 times as old as betty . mary is 8 years younger than albert . how old is betty ?

0general

a manufacturer is using glass as the surface for the multi - touch screen of its smartphone . the glass on the manufactured phone has a 4 % probability of not passing quality control tests . the quality control manager bundles the smartphone in groups of 10 . if that bundle has any smartphone that does not pass the quality control test , the entire bundle of 10 is rejected . what is the probability that a smartphone bundle that will be rejected by quality control ?

0general

the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ?

3geometry

in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 6 % . what is population of after 2 year .

0general

crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 30 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?

0general

if ( 1 / 2 ) ^ 16 ( 1 / 81 ) ^ k = 1 / 18 ^ 16 , then k =

0general

excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 35 kmph . for how many minutes does the bus stop per hour ?

1physics

in triangle pqr , the angle q = 90 degree , pq = 3 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz

3geometry

an engineer undertakes a project to build a road 15 km long in 300 days and employs 40 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .

1physics

the average age of 25 students of a class is 25 years . out of these , the average age of 10 students is 22 years and that of the other 14 students is 28 years . the age of the 25 th student is ?

0general

how many numbers between 1000 and 5000 are exactly divisible by 225 ?

0general

a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 20 inches . find b .

3geometry

anita has 360 apples . there are 60 students are studying in her class . she would like to give each student the same amount of apples , how much should she give to each student ?

0general

a number is increased by 60 % and then decreased by 60 % . find the net increase or decrease per cent .

0general

the area of sector of a circle whose radius is 12 metro and whose angle at the center is 36 â ° is ?

3geometry

6 persons standing in queue with different age group , after two years their average age will be 43 and seventh person joined with them . hence the current average age has become 45 . find the age of seventh person ?

0general

one fourth of a solution that was 15 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent sugar by weight ?

2gain

every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 1600 ?

0general

how many unique positive odd integers less than 110 are equal to the product of a positive multiple of 5 and an odd number ?

0general

if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m , what is its area ?

3geometry

every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 72 , how many more green disks than blue disks are in the bag ?

0general

an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 40.5 meters . how many times did the ball bounce ?

0general

what is the probability of getting atmost one head when two unbiased coin are tossed ?

4probability

if 5 x + 3 = 10 x – 22 , what is the value of x ?

0general

a jogger running at 9 km / hr along side a railway track is 270 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?

0general

the speed of a boat in still water in 26 km / hr and the rate of current is 6 km / hr . the distance travelled downstream in 20 minutes is :

1physics

find the average of all the numbers between 6 and 39 which are divisible by 5 ?

0general

add : + 47 and - 27

0general

a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet . what is its area , in square feet ?

3geometry