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

Problem stringlengths 5 967	category class label 6 classes
two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 200 m , in what time will they cross other travelling in opposite direction ?	1physics
if 20 men can build a wall 66 metres long in 8 days , what length of a similar can be built by 86 men in 8 days ?	1physics
how many odd numbers between 10 and 1,300 are the squares of integers ?	3geometry
the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 770 the other is	1physics
a garden center sells a certain grass seed in 5 - pound bags at $ 13.85 per bag , 10 - pound bags at $ 20.43 per bag , and 25 - pound bags $ 32.20 per bag . if a customer is to buy at least 65 pounds of the grass seed , but no more than 80 pounds , what is the least possible cost of the grass seed that the customer will buy ?	0general
the distance between west - town to east - town is 15 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 2 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?	1physics
a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 10 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?	0general
two trains , each 100 m long , moving in opposite directions , cross other in 20 sec . if one is moving twice as fast the other , then the speed of the faster train is ?	1physics
if a and b get profits of rs . 6,000 and rs . 4,000 respectively at the end of year then ratio of their investments are	2gain
on dividing 171 by a number , the quotient is 8 and the remainder is 3 . find the divisor .	0general
40 men shake hands with each other . maximum no of handshakes without cyclic handshakes .	0general
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 21000 . a ' s share is ?	2gain
a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 15 more blue balls than white balls , and thrice as many red balls as blue balls , how many white balls does the box has ?	0general
how long does a train 150 m long traveling at 36 kmph takes to cross a signal post ?	1physics
a car dealership has 40 cars on the lot , 20 % of which are silver . if the dealership receives a new shipment of 80 cars , 50 % of which are not silver , what percentage of total number of cars are silver ?	2gain
the two lines y = x and x = - 7 intersect on the coordinate plane . what is the value of the area of the figure formed by the intersecting lines and the x - axis ?	0general
a train 125 m long passes a man , running at 3 km / hr in the same direction in which the train is going , in 10 sec . the speed of the train is ?	1physics
if 16 ^ y = 4 ^ 14 , what is y ?	0general
if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 105 games will be played during the tournament . find the number of participants .	0general
a train running at the speed of 90 km / hr crosses a pole in 6 seconds . find the length of the train .	1physics
jen has a jar of jam , and she ate 1 / 3 of the jam for lunch . if jen ate 1 / 7 of the remaining jam for dinner , what fraction of the jam was left after dinner ?	0general
a garden center sells a certain grass seed in 5 - pound bags at $ 13.85 per bag , 10 - pound bags at $ 20.42 per bag , and 25 - pound bags $ 32.25 per bag . if a customer is to buy at least 65 pounds of the grass seed , but no more than 80 pounds , what is the least possible cost of the grass seed that the customer will buy ?	0general
the radius of the two circular fields is in the ratio 3 : 7 the area of the first field is what percent less than the area of the second ?	3geometry
the distance between west - town to east - town is 20 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 4 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?	1physics
angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 6,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ?	0general
if p ^ 2 – 13 p + 40 = s , and p is a positive integer between 1 and 10 , inclusive , what is the probability that s < 0 ?	0general
a and b complete a work in 6 days . a alone can do it in 10 days . if both together can do the work in how many days ?	1physics
5 * 2 is a 3 digit number with * is a missing digit . if the number is divisible by 6 , the missing digit is	0general
how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 38 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?	2gain
in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 10 . for a group of 600 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ?	4probability
three interviewers , a , b , and c are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer b admitted 15 applicants , a admitted 17 applicants , and c admitted 20 applicants , at least how many applicants get the admission ?	3geometry
0 , 1 , 5 , 14 , 30 , ____	0general
the security gate at a storage facility requires a 4 - digit lock code . if the lock code must consist only of digits from 1 through 7 , inclusive , with no repeated digits , and the first and last digits of the code must be odd , how many lock codes are possible ?	0general
if [ [ x ] ] = x ^ 2 + 2 x + 4 , what is the value of [ [ 4 ] ] ?	0general
in a forest 110 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?	0general
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 4240 , what is the length of the plot in metres ?	1physics
in the new budget the price of milk rose by 20 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?	0general
evaluate 64 / . 08	0general
two airplanes take off from one airfield at noon . one flies due east at 206 miles per hour while the other flies directly northeast at 283 miles per hour . approximately how many miles apart are the airplanes at 2 p . m . ?	1physics
96 % of 5 / 8 =	0general
a man goes downstream at 14 kmph , and upstream 8 kmph . the speed of the stream is	1physics
the ratio of radius of a circle and the side of a square is 2 : 11 . find the ratio of their areas :	3geometry
a train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . the length of the train is :	1physics
a is twice as good a workman as b and together they finish a piece in 18 days . in how many days will a alone finish the work ?	1physics
on dividing a number by 56 , we get 26 as remainder . on dividing the same number by 8 , what will be the remainder ?	0general
if the wheel is 12 cm then the number of revolutions to cover a distance of 1240 cm is ?	1physics
( ab ) x − 2 = ( ba ) x − 7 . what is the value of x ?	0general
a and b together can do a piece of work in 6 days and a alone can do it in 10 days . in how many days can b alone can do it ?	1physics
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 94 . if jerry wants to raise his average by 2 points , what score must he earn on the fourth test ?	0general
in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 18000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ?	0general
an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 4400 , what will be the difference between q and r ' s share ?	0general
it takes avery 3 hours to build a brick wall while tom can do it in 2.5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?	1physics
if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is ?	2gain
the current of a stream runs at the rate of 3 kmph . a boat goes 6 km and back to the starting point in 2 hours , then find the speed of the boat in still water ?	1physics
an article with cost price of 180 is sold at 15 % profit . what is the selling price ?	2gain
the average monthly salary of 15 employees in an organisation is rs . 1800 . if the manager ' s salary is added , then the average salary increases by rs . 150 . what is the manager ' s monthly salary ?	0general
8 machines , each working at the same constant rate , together can complete a certain job in 24 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 16 days ?	1physics
a group of boy scouts and girls scouts is going on a rafting trip . 52 % of the scouts arrived with signed permission slips . if 40 % of the scouts were boy scouts and 62.5 % of the boy scouts arrived with signed permission slips , then what percentage of the children were girl scouts who arrived with signed permission slips ?	2gain
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 % fescue . if a mixture of x and y contains 30 % ryegrass , what percent of the weight of the mixture is x ?	2gain
a , b and c invests rs . 4000 , rs . 3000 and rs . 2000 in a business . after one year b removed his money ; a and c continued the business for one more year . if the net profit after 2 years be rs . 2400 , then b ' s share in the profit is ?	2gain
a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 3 hours to fill the tank . the leak can drain all the water in ?	1physics
the cost of 16 pens and 8 pencils is rs . 352 and the cost of 4 pens and 4 pencils is rs . 96 . find the cost of each pen ?	0general
if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 55 minutes ?	1physics
five 6 faced dice are thrown together . the probability that all the three show the same number on them is ?	4probability
in the junior basketball league there are 21 teams , 1 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ?	0general
a and b undertake to do a piece of work for rs . 1200 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a .	1physics
a can do a half of certain work in 60 days and b one third of the same in 35 days . they together will do the whole work in .	1physics
if p is a prime number greater than 3 , find the remainder when p ^ 2 + 15 is divided by 12 .	0general
a merchant marks his goods up by 40 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?	2gain
if a and b are positive numbers , and a ^ 3 + b ^ 3 = 100 , then the greatest possible value of a is between :	0general
the average age of 18 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ?	0general
money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 1800 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?	2gain
a profit of rs . 700 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ?	0general
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount had been offered ?	2gain
p and q started a business investing rs 10000 and rs 15000 resp . in what ratio the profit earned after 2 years be divided between p and q respectively .	2gain
0.99999 + 0.11112 = ?	0general
the perimeter of one square is 40 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ?	3geometry
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 860 in 4 years . the sum is :	2gain
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 874 in 4 years . the sum is :	2gain
the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 3 / 8 is given by ?	5other
find the quantities of two types of rice to be mixed , first variety is of rs . 12 per kg and second variety is of rs . 20 per kg . to get 12 kg of rice mixture worth rs . 15 per kg ? ( in kg )	1physics
there are 3 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed .	4probability
a boy is traveling from his house to school at 10 km / hr and reached school 2 hours late . next day he traveled 20 km / hr and reached 1 hour early . then find the distance between house and school ?	1physics
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 285 , then the mean profit for the last 15 days would be	2gain
a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.20 , what total number of apples and bananas did the customer purchase ?	5other
in the first 7 overs of a cricket game , the run rate was only 4.2 . what should be the rate in the remaining 30 overs to reach the target of 282 runs ?	2gain
an empty tank be filled with an inlet pipe ‘ a ’ in 42 minutes . after 12 minutes an outlet pipe ‘ b ’ is opened which can empty the tank in 30 minutes . after 6 minutes another inlet pipe ‘ c ’ opened into the same tank , which can fill the tank in 35 minutes and the tank is filled . find the time taken to fill the tank ?	1physics
in a group of 50 people , 25 have visited iceland and 23 have visited norway . if 21 people have visited both iceland and norway , how many people have visited neither country ?	5other
a container holds 4 quarts of alcohol and 4 quarts of water . how many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume ?	0general
set a of 8 positive integers may have the same element and have 37 . and set b of 8 positive integers must have different elements and have 37 . when m and n are the greatest possible differences between 37 and other elements ’ sums in set a and set b , respectively , m - n = ?	0general
if 6 and 8 are factors of 60 n , what is the minimum value of n ?	5other
an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters q long ?	0general
if the average of 8 x and 8 y is greater than 120 , and x is twice y , what is the least integer value of x ?	0general
when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 39 , what is the remainder when k is divided by 7 ?	0general
in may , the grounds keeper at spring lake golf club built a circular green with an area of 81 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?	3geometry
the batting average of a particular batsman is 61 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score .	0general
the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is ?	0general
the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area t of that hemisphere ?	3geometry
there are 408 boys and 216 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed .	0general
the number 250 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ?	3geometry

two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 200 m , in what time will they cross other travelling in opposite direction ?

1physics

if 20 men can build a wall 66 metres long in 8 days , what length of a similar can be built by 86 men in 8 days ?

1physics

how many odd numbers between 10 and 1,300 are the squares of integers ?

3geometry

the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 770 the other is

1physics

a garden center sells a certain grass seed in 5 - pound bags at $ 13.85 per bag , 10 - pound bags at $ 20.43 per bag , and 25 - pound bags $ 32.20 per bag . if a customer is to buy at least 65 pounds of the grass seed , but no more than 80 pounds , what is the least possible cost of the grass seed that the customer will buy ?

0general

the distance between west - town to east - town is 15 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 2 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?

1physics

a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 10 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?

0general

two trains , each 100 m long , moving in opposite directions , cross other in 20 sec . if one is moving twice as fast the other , then the speed of the faster train is ?

1physics

if a and b get profits of rs . 6,000 and rs . 4,000 respectively at the end of year then ratio of their investments are

2gain

on dividing 171 by a number , the quotient is 8 and the remainder is 3 . find the divisor .

0general

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

0general

a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 21000 . a ' s share is ?

2gain

a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 15 more blue balls than white balls , and thrice as many red balls as blue balls , how many white balls does the box has ?

0general

how long does a train 150 m long traveling at 36 kmph takes to cross a signal post ?

1physics

a car dealership has 40 cars on the lot , 20 % of which are silver . if the dealership receives a new shipment of 80 cars , 50 % of which are not silver , what percentage of total number of cars are silver ?

2gain

the two lines y = x and x = - 7 intersect on the coordinate plane . what is the value of the area of the figure formed by the intersecting lines and the x - axis ?

0general

a train 125 m long passes a man , running at 3 km / hr in the same direction in which the train is going , in 10 sec . the speed of the train is ?

1physics

if 16 ^ y = 4 ^ 14 , what is y ?

0general

if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 105 games will be played during the tournament . find the number of participants .

0general

a train running at the speed of 90 km / hr crosses a pole in 6 seconds . find the length of the train .

1physics

jen has a jar of jam , and she ate 1 / 3 of the jam for lunch . if jen ate 1 / 7 of the remaining jam for dinner , what fraction of the jam was left after dinner ?

0general

a garden center sells a certain grass seed in 5 - pound bags at $ 13.85 per bag , 10 - pound bags at $ 20.42 per bag , and 25 - pound bags $ 32.25 per bag . if a customer is to buy at least 65 pounds of the grass seed , but no more than 80 pounds , what is the least possible cost of the grass seed that the customer will buy ?

0general

the radius of the two circular fields is in the ratio 3 : 7 the area of the first field is what percent less than the area of the second ?

3geometry

the distance between west - town to east - town is 20 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 4 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?

1physics

angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 6,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ?

0general

if p ^ 2 – 13 p + 40 = s , and p is a positive integer between 1 and 10 , inclusive , what is the probability that s < 0 ?

0general

a and b complete a work in 6 days . a alone can do it in 10 days . if both together can do the work in how many days ?

1physics

5 * 2 is a 3 digit number with * is a missing digit . if the number is divisible by 6 , the missing digit is

0general

how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 38 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?

2gain

in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 10 . for a group of 600 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ?

4probability

three interviewers , a , b , and c are interviewing 40 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer b admitted 15 applicants , a admitted 17 applicants , and c admitted 20 applicants , at least how many applicants get the admission ?

3geometry

0 , 1 , 5 , 14 , 30 , ____

0general

the security gate at a storage facility requires a 4 - digit lock code . if the lock code must consist only of digits from 1 through 7 , inclusive , with no repeated digits , and the first and last digits of the code must be odd , how many lock codes are possible ?

0general

if [ [ x ] ] = x ^ 2 + 2 x + 4 , what is the value of [ [ 4 ] ] ?

0general

in a forest 110 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?

0general

the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 4240 , what is the length of the plot in metres ?

1physics

in the new budget the price of milk rose by 20 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?

0general

evaluate 64 / . 08

0general

two airplanes take off from one airfield at noon . one flies due east at 206 miles per hour while the other flies directly northeast at 283 miles per hour . approximately how many miles apart are the airplanes at 2 p . m . ?

1physics

96 % of 5 / 8 =

0general

a man goes downstream at 14 kmph , and upstream 8 kmph . the speed of the stream is

1physics

the ratio of radius of a circle and the side of a square is 2 : 11 . find the ratio of their areas :

3geometry

a train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . the length of the train is :

1physics

a is twice as good a workman as b and together they finish a piece in 18 days . in how many days will a alone finish the work ?

1physics

on dividing a number by 56 , we get 26 as remainder . on dividing the same number by 8 , what will be the remainder ?

0general

if the wheel is 12 cm then the number of revolutions to cover a distance of 1240 cm is ?

1physics

( ab ) x − 2 = ( ba ) x − 7 . what is the value of x ?

0general

a and b together can do a piece of work in 6 days and a alone can do it in 10 days . in how many days can b alone can do it ?

1physics

jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 94 . if jerry wants to raise his average by 2 points , what score must he earn on the fourth test ?

0general

in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 18000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ?

0general

an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 4400 , what will be the difference between q and r ' s share ?

0general

it takes avery 3 hours to build a brick wall while tom can do it in 2.5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?

1physics

if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is ?

2gain

the current of a stream runs at the rate of 3 kmph . a boat goes 6 km and back to the starting point in 2 hours , then find the speed of the boat in still water ?

1physics

an article with cost price of 180 is sold at 15 % profit . what is the selling price ?

2gain

the average monthly salary of 15 employees in an organisation is rs . 1800 . if the manager ' s salary is added , then the average salary increases by rs . 150 . what is the manager ' s monthly salary ?

0general

8 machines , each working at the same constant rate , together can complete a certain job in 24 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 16 days ?

1physics

a group of boy scouts and girls scouts is going on a rafting trip . 52 % of the scouts arrived with signed permission slips . if 40 % of the scouts were boy scouts and 62.5 % of the boy scouts arrived with signed permission slips , then what percentage of the children were girl scouts who arrived with signed permission slips ?

2gain

seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 % fescue . if a mixture of x and y contains 30 % ryegrass , what percent of the weight of the mixture is x ?

2gain

a , b and c invests rs . 4000 , rs . 3000 and rs . 2000 in a business . after one year b removed his money ; a and c continued the business for one more year . if the net profit after 2 years be rs . 2400 , then b ' s share in the profit is ?

2gain

a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 3 hours to fill the tank . the leak can drain all the water in ?

1physics

the cost of 16 pens and 8 pencils is rs . 352 and the cost of 4 pens and 4 pencils is rs . 96 . find the cost of each pen ?

0general

if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 55 minutes ?

1physics

five 6 faced dice are thrown together . the probability that all the three show the same number on them is ?

4probability

in the junior basketball league there are 21 teams , 1 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ?

0general

a and b undertake to do a piece of work for rs . 1200 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a .

1physics

a can do a half of certain work in 60 days and b one third of the same in 35 days . they together will do the whole work in .

1physics

if p is a prime number greater than 3 , find the remainder when p ^ 2 + 15 is divided by 12 .

0general

a merchant marks his goods up by 40 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?

2gain

if a and b are positive numbers , and a ^ 3 + b ^ 3 = 100 , then the greatest possible value of a is between :

0general

the average age of 18 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ?

0general

money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 1800 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?

2gain

a profit of rs . 700 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ?

0general

a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount had been offered ?

2gain

p and q started a business investing rs 10000 and rs 15000 resp . in what ratio the profit earned after 2 years be divided between p and q respectively .

2gain

0.99999 + 0.11112 = ?

0general

the perimeter of one square is 40 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ?

3geometry

a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 860 in 4 years . the sum is :

2gain

a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 874 in 4 years . the sum is :

2gain

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

5other

find the quantities of two types of rice to be mixed , first variety is of rs . 12 per kg and second variety is of rs . 20 per kg . to get 12 kg of rice mixture worth rs . 15 per kg ? ( in kg )

1physics

there are 3 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed .

4probability

a boy is traveling from his house to school at 10 km / hr and reached school 2 hours late . next day he traveled 20 km / hr and reached 1 hour early . then find the distance between house and school ?

1physics

the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 285 , then the mean profit for the last 15 days would be

2gain

a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.20 , what total number of apples and bananas did the customer purchase ?

5other

in the first 7 overs of a cricket game , the run rate was only 4.2 . what should be the rate in the remaining 30 overs to reach the target of 282 runs ?

2gain

an empty tank be filled with an inlet pipe ‘ a ’ in 42 minutes . after 12 minutes an outlet pipe ‘ b ’ is opened which can empty the tank in 30 minutes . after 6 minutes another inlet pipe ‘ c ’ opened into the same tank , which can fill the tank in 35 minutes and the tank is filled . find the time taken to fill the tank ?

1physics

in a group of 50 people , 25 have visited iceland and 23 have visited norway . if 21 people have visited both iceland and norway , how many people have visited neither country ?

5other

a container holds 4 quarts of alcohol and 4 quarts of water . how many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume ?

0general

set a of 8 positive integers may have the same element and have 37 . and set b of 8 positive integers must have different elements and have 37 . when m and n are the greatest possible differences between 37 and other elements ’ sums in set a and set b , respectively , m - n = ?

0general

if 6 and 8 are factors of 60 n , what is the minimum value of n ?

5other

an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters q long ?

0general

if the average of 8 x and 8 y is greater than 120 , and x is twice y , what is the least integer value of x ?

0general

when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 39 , what is the remainder when k is divided by 7 ?

0general

in may , the grounds keeper at spring lake golf club built a circular green with an area of 81 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?

3geometry

the batting average of a particular batsman is 61 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score .

0general

the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is ?

0general

the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area t of that hemisphere ?

3geometry

there are 408 boys and 216 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed .

0general

the number 250 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ?

3geometry