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

Problem stringlengths 5 967	category class label 6 classes
if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline , by how much percent should he reduce the quantity of gasoline that he buys ?	0general
a rower can row 7 km / h in still water . when the river is running at 1 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?	1physics
a cistern is normally filled in 4 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?	1physics
25.25 / 1500 is equal to :	0general
if jake loses 20 pounds , he will weigh twice as much as his sister . together they now weigh 224 pounds . what is jake ’ s present weight , in pounds ?	0general
in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 6 . if the probability that a number 12 or larger is drawn is 1 / 2 , what is the probability that a number less than or equal to 20 is drawn ?	0general
if the sides of a rectangle are increased by 15 % , what is the percentage increase in the area ?	3geometry
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 40 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?	2gain
if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 5,5 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?	1physics
calculate the l . c . m of 1 / 5 , 6 / 7 , 5 / 6 , 3 / 5 is :	1physics
find the average of all prime numbers between 1 and 10	0general
the average age of a class of 20 students is 19 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ?	0general
there were 35 students in a hostel . due to the admission of 7 new students , ; he expenses of the mess were increased by rs . 42 per day while the average expenditure per head diminished by rs 1 . wbat was the original expenditure of the mess ?	0general
evaluate : \| 7 - 8 ( 3 - 12 ) \| - \| 5 - 11 \| = ?	0general
if 14 lions can kill 14 deers in 14 minutes how long will it take 100 lions to kill 100 deers ?	1physics
in a 100 m race , sam beats john by 3 seconds . on the contrary , if sam allowed john to start 24 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?	1physics
if \| x - 25 \| = 50 what is the sum of all the values of x .	0general
product of two co - prime numbers is 117 . their l . c . m should be :	0general
the price of a tv was increased by 30 percent . the new price was then increased by 40 percent . a single increase of what percent is equivalent to these two successive increases ?	2gain
terry is having lunch at a salad bar . there are two types of lettuce to choose from , as well as 3 types of tomatoes , and 4 types of olives . he must also choose whether or not to have one of the two types of soup on the side . if terry has decided to have the salad and soup combo and he picks one type of lettuce , one type of tomato , and one type of olive for his salad , how many total options does he have for his lunch combo ?	0general
what will be the reminder when ( 31 ^ 31 + 31 ) is divided by 32 ?	0general
if m equals the sum of the odd integers from 1 to 111 , inclusive , and t equals the sum of the even integers from 2 to 50 , inclusive , what is the value of m + t ?	0general
a meeting has to be conducted with 6 managers . find the number of ways in which the managers be selected from among 10 managers , if 2 managers will not attend the meeting together ?	4probability
the smallest value of n , for which 2 n + 3 is not a prime number , is	0general
the average age of a class of 12 students is 19 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ?	0general
a certain basketball team that has played 2 / 3 of its games has a record of 14 wins and 6 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ?	0general
a train , 125 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is	1physics
in a division sum , the quotient is 36 , the divisor 85 and the remainder 26 , find the dividend ?	0general
a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number q of people surveyed by the company ?	5other
two trains 141 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?	1physics
a pharmaceutical company received $ 6 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?	0general
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 86 minutes , then the slower pipe alone will be able to fill the tank in	1physics
the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5 . if they worked a combined total of 90 hours , how many hours did the secretary who worked the longest spend on the project ?	1physics
one train is travelling 45 kmph and other is at 10 meters a second . ratio of the speed of the two trains is ?	1physics
in the xy - plane , a triangle has vertices ( 00 ) , ( 40 ) and ( 410 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?	3geometry
a train 150 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?	1physics
working together , wayne and his son can shovel the entire driveway in 3 hours . if wayne can shovel 6 times as fast as his son can , how many hours would it take for his son to shovel the entire driveway on his own ?	1physics
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 21 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?	0general
how many pieces of 85 cm length can be cut from a rod of 25.5 meters long ?	1physics
a father is 4 times as old as his son . in 20 years , he ' ll be twice as old . how old are they now ?	0general
how many positive integers h less than 10000 are such that the product of their digits is 210 ?	0general
two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km / hr and 36 km / hr . the time of crossing each other , if they run in the opposite direction is	1physics
the length of the bridge , which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?	1physics
on multiplying a number a by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .	5other
andrew purchased 11 kg of grapes at the rate of 98 per kg and 7 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?	2gain
two numbers are in the ratio of 3 : 4 . if 12 be subtracted from each , they are in the ratio of 9 : 8 . find the numbers ?	5other
in an election a candidate who gets 60 % of the votes is elected by a majority of 1380 votes . what is the total number of votes polled ?	2gain
rounded to 3 decimal places , 1.003 ^ 4 =	0general
the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . what is the present worth ?	2gain
in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?	2gain
at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ?	5other
the profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?	2gain
working individually , julie can peel potatoes in 10 hours and ted can peel potatoes in 8 hours . if julie and ted work together but independently at the task for 4 hours , at which point ted leaves , how many remaining hours will it take julie to complete the task alone ?	1physics
x is able to do a piece of work in 8 days and y can do the same work in 12 days . if they can work together for 3 days , what is the fraction of work left ?	1physics
an article is bought for rs . 1450 and sold for rs . 1420 , find the loss percent ?	2gain
in a group of 28 junior high school students , 7 take french , 9 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ?	5other
when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in r hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of r ?	1physics
if 36 men can do a piece of work in 15 hours , in how many hours will 15 men do it ?	1physics
buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 60 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?	1physics
dawson is going with 14 friends on a trip to washington d . c for spring break . airfare and hotel costs a total of $ 13500.00 for the group of 15 friends . how much does each person have to pay for their hotel and airfare ?	0general
the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 190 runs and his average excluding these two innings is 58 runs , find his highest score .	0general
the point a and point b is 30 miles apart , the point b and point c is 25 miles apart . a car travels from point a to point b in 30 min and point b to point c in 40 min . what is the average speed of the car ?	1physics
0.009 / x = 0.025 . find the value of x	0general
at the moment there are 54210 tagged birds in a certain wildlife refuge . if exactly 30 percent of all birds in the refuge are tagged , what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged ?	2gain
find the cost of fencing around a circular field of diameter 70 m at the rate of rs . 1 a meter ?	1physics
the area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm . what is the perimeter of the square ?	3geometry
a train takes 10 sec to pass a signal post and covers a distance of 10 km in 15 min . find the length of train ?	1physics
an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 6 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ?	5other
a farmer spent $ 34 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?	2gain
a sum of rs . 312 was divided among 100 boys and girls in such a way that each boy gets rs . 3.60 and each girl rs . 2.40 .	0general
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 6 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ?	0general
if the average ( arithmetic mean ) of a and b is 30 and the average of b and c is 60 , what is the value of c − a ?	0general
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on november 1 than were in stock on january 1 ?	2gain
what is the minimum percentage increase in the mean of set f { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ?	0general
the volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3 . what is the ratio of their heights ?	3geometry
two numbers are 35 % and 42 % are less than a third number . how much percent is the second number less than the first ?	2gain
john and roger can finish the work 24 days if they work together . they worked together for 16 days and then roger left . john finished the remaining work in another 16 days . in how many days john alone can finish the work ?	1physics
there are 43 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?	1physics
if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 12 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ?	5other
when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 6 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ?	0general
with a uniform speed a car covers the distance in 8 hours . had the speed been increased by 3 km / hr , the same distance could have been covered in 7 1 / 2 hours . what is the distance covered ?	1physics
for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers q are there between # 6 + 2 and # 6 + 6 , inclusive ?	0general
what is the remainder when 1271 * 1275 * 1277 * 1285 is divided by 12 ?	0general
a dishonest dealer professes to sell goods at the cost price but uses a weight of 500 grams per kg , what is his percent ?	2gain
( 7895632 x 881 ) = ?	0general
solve the equation for x : 8 x - 40 + 2 x = 5 + 10 - x	0general
a waitress ' s income consists of her salary and tips . during one week , her tips were 9 / 4 of her salary . what fraction of her income for the week came from tips ?	0general
a can do a piece of work in 8 days . b can do it in 12 days . with the assistance of c they completed the work in 4 days . find in how many days can c alone do it ?	1physics
find the value of m 62519 x 9999 = m ?	0general
the difference between compound interest and simple interest on a sum for 3 years at 10 % p . a . is rs . 124 find the sum .	2gain
an italian sausage is 8 inches long . how many pieces of sausage can be cut from the 8 - inch piece of sausage if each piece is to be 2 / 3 of an inch ?	0general
a is a working partner and b is a sleeping partner in the business . a puts in rs . 3500 and b rs . 2500 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?	2gain
what is the dividend . divisor 20 , the quotient is 8 and the remainder is 6	0general
a train 550 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?	1physics
given that 268 x 74 = 19732 , find the value of 2.68 x . 74 .	0general
bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 70 more . what was his original selling price ?	0general
george baked a total of 50 pizzas for 5 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ?	0general
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number ?	0general
a man walking at a rate of 10 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?	2gain
in a company of 12 employees , 5 employees earn $ 36000 , 4 employees earn $ 45000 , and the 3 highest - paid employees earn the same amount . if the average annual salary for the 12 employees is $ 47500 , what is the annual salary for each of the highest - paid employees ?	0general

if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline , by how much percent should he reduce the quantity of gasoline that he buys ?

0general

a rower can row 7 km / h in still water . when the river is running at 1 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?

1physics

a cistern is normally filled in 4 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?

1physics

25.25 / 1500 is equal to :

0general

if jake loses 20 pounds , he will weigh twice as much as his sister . together they now weigh 224 pounds . what is jake ’ s present weight , in pounds ?

0general

in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 6 . if the probability that a number 12 or larger is drawn is 1 / 2 , what is the probability that a number less than or equal to 20 is drawn ?

0general

if the sides of a rectangle are increased by 15 % , what is the percentage increase in the area ?

3geometry

a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 40 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?

2gain

if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 5,5 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?

1physics

calculate the l . c . m of 1 / 5 , 6 / 7 , 5 / 6 , 3 / 5 is :

1physics

find the average of all prime numbers between 1 and 10

0general

the average age of a class of 20 students is 19 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ?

0general

there were 35 students in a hostel . due to the admission of 7 new students , ; he expenses of the mess were increased by rs . 42 per day while the average expenditure per head diminished by rs 1 . wbat was the original expenditure of the mess ?

0general

evaluate : | 7 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?

0general

if 14 lions can kill 14 deers in 14 minutes how long will it take 100 lions to kill 100 deers ?

1physics

in a 100 m race , sam beats john by 3 seconds . on the contrary , if sam allowed john to start 24 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?

1physics

if | x - 25 | = 50 what is the sum of all the values of x .

0general

product of two co - prime numbers is 117 . their l . c . m should be :

0general

the price of a tv was increased by 30 percent . the new price was then increased by 40 percent . a single increase of what percent is equivalent to these two successive increases ?

2gain

terry is having lunch at a salad bar . there are two types of lettuce to choose from , as well as 3 types of tomatoes , and 4 types of olives . he must also choose whether or not to have one of the two types of soup on the side . if terry has decided to have the salad and soup combo and he picks one type of lettuce , one type of tomato , and one type of olive for his salad , how many total options does he have for his lunch combo ?

0general

what will be the reminder when ( 31 ^ 31 + 31 ) is divided by 32 ?

0general

if m equals the sum of the odd integers from 1 to 111 , inclusive , and t equals the sum of the even integers from 2 to 50 , inclusive , what is the value of m + t ?

0general

a meeting has to be conducted with 6 managers . find the number of ways in which the managers be selected from among 10 managers , if 2 managers will not attend the meeting together ?

4probability

the smallest value of n , for which 2 n + 3 is not a prime number , is

0general

the average age of a class of 12 students is 19 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ?

0general

a certain basketball team that has played 2 / 3 of its games has a record of 14 wins and 6 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ?

0general

a train , 125 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is

1physics

in a division sum , the quotient is 36 , the divisor 85 and the remainder 26 , find the dividend ?

0general

a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number q of people surveyed by the company ?

5other

two trains 141 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?

1physics

a pharmaceutical company received $ 6 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?

0general

one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 86 minutes , then the slower pipe alone will be able to fill the tank in

1physics

the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5 . if they worked a combined total of 90 hours , how many hours did the secretary who worked the longest spend on the project ?

1physics

one train is travelling 45 kmph and other is at 10 meters a second . ratio of the speed of the two trains is ?

1physics

in the xy - plane , a triangle has vertices ( 00 ) , ( 40 ) and ( 410 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?

3geometry

a train 150 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?

1physics

working together , wayne and his son can shovel the entire driveway in 3 hours . if wayne can shovel 6 times as fast as his son can , how many hours would it take for his son to shovel the entire driveway on his own ?

1physics

the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 21 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ?

0general

how many pieces of 85 cm length can be cut from a rod of 25.5 meters long ?

1physics

a father is 4 times as old as his son . in 20 years , he ' ll be twice as old . how old are they now ?

0general

how many positive integers h less than 10000 are such that the product of their digits is 210 ?

0general

two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km / hr and 36 km / hr . the time of crossing each other , if they run in the opposite direction is

1physics

the length of the bridge , which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?

1physics

on multiplying a number a by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .

5other

andrew purchased 11 kg of grapes at the rate of 98 per kg and 7 kg of mangoes at the rate of 50 per kg . how much amount did he pay to the shopkeeper ?

2gain

two numbers are in the ratio of 3 : 4 . if 12 be subtracted from each , they are in the ratio of 9 : 8 . find the numbers ?

5other

in an election a candidate who gets 60 % of the votes is elected by a majority of 1380 votes . what is the total number of votes polled ?

2gain

rounded to 3 decimal places , 1.003 ^ 4 =

0general

the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . what is the present worth ?

2gain

in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?

2gain

at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 10 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 3 to 14 . how many cooks does the restaurant have ?

5other

the profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ?

2gain

working individually , julie can peel potatoes in 10 hours and ted can peel potatoes in 8 hours . if julie and ted work together but independently at the task for 4 hours , at which point ted leaves , how many remaining hours will it take julie to complete the task alone ?

1physics

x is able to do a piece of work in 8 days and y can do the same work in 12 days . if they can work together for 3 days , what is the fraction of work left ?

1physics

an article is bought for rs . 1450 and sold for rs . 1420 , find the loss percent ?

2gain

in a group of 28 junior high school students , 7 take french , 9 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ?

5other

when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in r hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of r ?

1physics

if 36 men can do a piece of work in 15 hours , in how many hours will 15 men do it ?

1physics

buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 60 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?

1physics

dawson is going with 14 friends on a trip to washington d . c for spring break . airfare and hotel costs a total of $ 13500.00 for the group of 15 friends . how much does each person have to pay for their hotel and airfare ?

0general

the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 190 runs and his average excluding these two innings is 58 runs , find his highest score .

0general

the point a and point b is 30 miles apart , the point b and point c is 25 miles apart . a car travels from point a to point b in 30 min and point b to point c in 40 min . what is the average speed of the car ?

1physics

0.009 / x = 0.025 . find the value of x

0general

at the moment there are 54210 tagged birds in a certain wildlife refuge . if exactly 30 percent of all birds in the refuge are tagged , what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged ?

2gain

find the cost of fencing around a circular field of diameter 70 m at the rate of rs . 1 a meter ?

1physics

the area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm . what is the perimeter of the square ?

3geometry

a train takes 10 sec to pass a signal post and covers a distance of 10 km in 15 min . find the length of train ?

1physics

an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 6 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ?

5other

a farmer spent $ 34 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?

2gain

a sum of rs . 312 was divided among 100 boys and girls in such a way that each boy gets rs . 3.60 and each girl rs . 2.40 .

0general

according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 6 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ?

0general

if the average ( arithmetic mean ) of a and b is 30 and the average of b and c is 60 , what is the value of c − a ?

0general

on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on november 1 than were in stock on january 1 ?

2gain

what is the minimum percentage increase in the mean of set f { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ?

0general

the volumes of two cones are in the ratio 1 : 12 and the radii of the cones are in the ratio of 1 : 3 . what is the ratio of their heights ?

3geometry

two numbers are 35 % and 42 % are less than a third number . how much percent is the second number less than the first ?

2gain

john and roger can finish the work 24 days if they work together . they worked together for 16 days and then roger left . john finished the remaining work in another 16 days . in how many days john alone can finish the work ?

1physics

there are 43 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?

1physics

if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 12 integers , y consists of 18 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ?

5other

when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 6 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ?

0general

with a uniform speed a car covers the distance in 8 hours . had the speed been increased by 3 km / hr , the same distance could have been covered in 7 1 / 2 hours . what is the distance covered ?

1physics

for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers q are there between # 6 + 2 and # 6 + 6 , inclusive ?

0general

what is the remainder when 1271 * 1275 * 1277 * 1285 is divided by 12 ?

0general

a dishonest dealer professes to sell goods at the cost price but uses a weight of 500 grams per kg , what is his percent ?

2gain

( 7895632 x 881 ) = ?

0general

solve the equation for x : 8 x - 40 + 2 x = 5 + 10 - x

0general

a waitress ' s income consists of her salary and tips . during one week , her tips were 9 / 4 of her salary . what fraction of her income for the week came from tips ?

0general

a can do a piece of work in 8 days . b can do it in 12 days . with the assistance of c they completed the work in 4 days . find in how many days can c alone do it ?

1physics

find the value of m 62519 x 9999 = m ?

0general

the difference between compound interest and simple interest on a sum for 3 years at 10 % p . a . is rs . 124 find the sum .

2gain

an italian sausage is 8 inches long . how many pieces of sausage can be cut from the 8 - inch piece of sausage if each piece is to be 2 / 3 of an inch ?

0general

a is a working partner and b is a sleeping partner in the business . a puts in rs . 3500 and b rs . 2500 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?

2gain

what is the dividend . divisor 20 , the quotient is 8 and the remainder is 6

0general

a train 550 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

1physics

given that 268 x 74 = 19732 , find the value of 2.68 x . 74 .

0general

bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 70 more . what was his original selling price ?

0general

george baked a total of 50 pizzas for 5 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ?

0general

the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number ?

0general

a man walking at a rate of 10 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?

2gain

in a company of 12 employees , 5 employees earn $ 36000 , 4 employees earn $ 45000 , and the 3 highest - paid employees earn the same amount . if the average annual salary for the 12 employees is $ 47500 , what is the annual salary for each of the highest - paid employees ?

0general