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

Problem stringlengths 5 967	category class label 6 classes
what would be the perimeter of the square whose side is equal to the diameter of the circle whose perimeter is 52.5 cm ?	3geometry
a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many apples did each person get before 45 people joined the feast ?	0general
a merchant purchased a jacket for $ 42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant ’ s gross profit on this sale ?	2gain
if two positive numbers are in the ratio 1 / 9 : 1 / 5 , then by what percent is the second number more than the first ?	0general
a pharmaceutical company received $ 3 million in royalties on the first $ 25 million in sales of and then $ 9 million in royalties on the next $ 130 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 25 million in sales to the next $ 130 million in sales ?	0general
running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 5 w widgets .	0general
two employees x and y are paid a total of rs . 616 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?	0general
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ?	3geometry
a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 546 pounds after processing , how many pounds did it weigh before processing ?	2gain
jacob is now 14 years younger than michael . if 9 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?	0general
a bag consists of 60 marbles , of which 5 are blue , 9 are red , and the remainder are white . if lisa is to select a marble from the bag at random , what is the probability that the marble will be red or white ?	4probability
if 6 women can color 360 m long cloth in 3 days , then 5 women can color 100 m long cloth in ?	1physics
when a certain number x is divided by 95 , the remainder is 31 . what is the remainder when x is divided by 19 ?	0general
ram sold two bicycles , each for rs . 990 . if he made 10 % profit on the first and 10 % loss on the second , what is the total cost of both bicycles ?	2gain
the simple form of the ratio 7 / 6 : 3 / 2 is ?	5other
a company produces 72000 bottles of water everyday . if a case can hold 9 bottles of water . how many cases are required by the company to hold its one day production	1physics
a number is doubled and 5 is added . if the resultant is trebled , it becomes 135 . what is that number ?	0general
on average , activated yeast cells divide once every 120 minutes ; that is , each individual cell divides into two individual cells over that time span . given that a certain yeast colony consisted of 310000 cells two hours ago , approximately how many cells will be populating the colony 12 hours from now ?	0general
the population of a town is 8000 . it decreases annually at the rate of 10 % p . a . what will be its population after 1 years ?	2gain
the average ( arithmetic mean ) of 10 , 30 , and 50 is 8 more than the average of 20 , 40 , and x . what is x ?	0general
what is the value of ( p + q ) / ( p - q ) if p / q is 7 ?	0general
what is the square root of 625 , divided by 5 ?	5other
find the simple interest on rs . 350 for 10 months at 5 paisa per month ?	2gain
a and b can do a piece of work in 60 days and 60 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?	1physics
2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 9	0general
what is the ratio of 4 / 7 to the product 2 * ( 7 / 3 ) ?	0general
calculate the sum of first 39 natural numbers .	0general
operation # is defined as adding a randomly selected two digit multiple of 14 to a randomly selected two digit prime number and reducing the result by half . if operation # is repeated 10 times , what is the probability that it will yield at least two integers ?	0general
if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ?	3geometry
n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 4,5 and 6 is a digit of either n or m . what is the smallest possible positive difference between n and m ?	0general
of the 150 people at a party , 70 were women , and 40 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ?	0general
the breath of a rectangular landscape is 6 times its length . there is a playground in it whose area is 4200 square mtr & which is 1 / 7 th of the total landscape . what is the breath of the landscape ?	3geometry
it was calculated that 75 men could complete a piece of work in 25 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ?	1physics
a farmer divides his herd of x cows among his 4 sons so that one son gets one half of the herd , the second gets one - fourth , the third gets one - fifth and the fourth gets 7 cows . then x is equal to	0general
solve for x and check : x + 5 = 3	0general
a trained covered x km at 40 kmph and another 4 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .	0general
a rectangular block 8 cm by 24 cm by 56 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?	3geometry
the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 93 per day . what was his wage on the 8 th day ?	1physics
find the compound ratio of ( 2 : 3 ) , ( 5 : 11 ) and ( 11 : 2 ) is	5other
what is the least common multiple of 15 , 18 , and 34 ?	0general
a meeting has to be conducted with 4 managers . find the number of ways in which the managers may be selected from among 8 managers , if there are 2 managers who refuse to attend the meeting together .	4probability
on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 3 ?	0general
the contents of a certain box consist of 72 apples and 30 oranges . how many oranges must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ?	0general
a factory produces 6000 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?	1physics
two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 9 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?	1physics
a box contains 100 balls , numbered from 1 to 100 . if 3 balls are selected at random and with replacement from the box , what is the probability that the sum of the 3 numbers on the balls selected from the box will be odd ?	0general
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?	5other
the average age of a class of 39 students is 15 years . if the age of the teacher be included , then the average increases by 3 months . find the age of the teacher .	0general
a man can row 5 kmph in still water . when the river is running at 2.3 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?	1physics
a part - time employee whose hourly wage was increased by 15 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ?	0general
if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4650 , how much r will receive ?	0general
a 260 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
for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers r are there between 6 * + 2 and 6 * + 6 , inclusive ?	0general
25 people went to a hotel for combine dinner party 15 of them spent rs . 5 each on their dinner and rest spent 4 more than the average expenditure of all the 25 . what was the total money spent by them .	0general
find the number of divisors of 1080 excluding the divisors which are perfect squares .	3geometry
line q has the equation 5 y – 3 x = 60 . if line s is perpendicular to q , has an integer for its y - intercept , and intersects q in the second quadrant , then how many possible line s ’ s exist ? ( note : intersections on one of the axes do not count . )	0general
when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 0.70 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ?	0general
on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number y of races we need to conduct to get the top 3 fastest horses ?	0general
walking at 5 / 6 of its usual speed , a train is 10 minutes too late . what is usual time to cover the journey ?	1physics
a fruit seller sells mangoes at the rate of rs . 6 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 %	2gain
the salaries of a and b together amount to $ 5000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?	2gain
when tossed , a certain coin has an equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land on the same side each time ?	4probability
bob wants to run a mile in the same time as his sister . if bob ’ s time for a mile is currently 10 minutes 40 seconds and his sister ’ s time is currently 9 minutes 42 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?	1physics
convert 300 miles into meters ?	1physics
if d = 1 / ( 2 ^ 3 * 5 ^ 9 ) is expressed as a terminating decimal , how many nonzero digits will d have ?	0general
the average weight of 5 person ' s increases by 4 kg when a new person comes in place of one of them weighing 50 kg . what is the weight of the new person ?	0general
what is the smallest integer that is multiple of 7 , 12 and 20	0general
the average age of 15 students of a class is 15 years . out of these , the average age of 8 students is 14 years and that of the other 6 students is 16 years . the age of the 15 th student is	0general
the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 174,000 . what was the percent increase in the cost of the home ?	0general
in the faculty of reverse - engineering , 200 second year students study numeric methods , 400 second year students study automatic control of airborne vehicles and 100 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ?	0general
jerry went to a shop and bought things worth rs . 35 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?	2gain
how long does a train 110 m long running at the speed of 36 km / hr takes to cross a bridge 132 m length ?	1physics
kathleen can paint a room in 3 hours , and anthony can paint an identical room in 5 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?	1physics
1200 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?	1physics
the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 35 , what is the greatest possible value that one of the other 2 integers can have ?	0general
what will be the compound interest on a sum of rs . 21,000 after 3 years at the rate of 12 % p . a . ?	2gain
a man swims downstream 72 km and upstream 45 km taking 10 hours each time ; what is the speed of the current ?	1physics
the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 65 sq . cm . find the length of the rectangle .	3geometry
find the amount on rs . 6000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?	2gain
an aeroplane covers a certain distance at a speed of 320 kmph in 4 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :	1physics
a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 70 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?	0general
a group of men decided to do a work in 10 days , but 5 of them became absent . if the rest of the group did the work in 12 days , find the original number of men ?	1physics
george can do a piece of work in 8 hours . paul can do the same work in 10 hours , hari can do the same work in 12 hours . george , paul and hari start the same work at 9 am , while george stops at 11 am , the remaining two complete the work . what time will the work complete ?	1physics
if x and y are both odd prime numbers and x < y , how many distinct positive integer factors does 2 xy have ?	5other
if 3 cats can kill 3 rats in 3 minutes , how long will it take 100 cats to kill 100 rats ?	1physics
hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of two hammers and three wrenches is one - third that of 6 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ?	0general
a certain quantity of 80 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ?	5other
the number of diagonals of a polygon of n sides is given by the formula c = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ?	0general
5358 x 53 = ?	0general
80 is increased by 50 % . find the final number .	2gain
the total age of a and b is 12 years more than the total age of b and c . c is how many years younger than a ?	0general
in a bag , there are 2400 ball , and their colors are red , green blue . . the ratio of the balls are 15 : 13 : 17 . then how many red color balls are available in the bag ?	5other
the average age of 39 students in a group is 10 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ?	0general
an alloy is to contain copper and zinc in the ratio 9 : 4 . the zinc required to be melted with 24 kg of copper is ?	5other
two trains of equal lengths take 9 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?	1physics
trains a and b start simultaneously from stations 350 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 40 miles per hour and 30 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?	1physics
harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 6 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?	0general
for how many values of n , is \| \| \| n - 5 \| - 10 \| - 5 \| = 2 ? ( those ls are mods )	0general
mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 42 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?	0general
a certain bus driver is paid a regular rate of $ 15 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 976 in total compensation , how many total hours did he work that week ?	0general

what would be the perimeter of the square whose side is equal to the diameter of the circle whose perimeter is 52.5 cm ?

3geometry

a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many apples did each person get before 45 people joined the feast ?

0general

a merchant purchased a jacket for $ 42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant ’ s gross profit on this sale ?

2gain

if two positive numbers are in the ratio 1 / 9 : 1 / 5 , then by what percent is the second number more than the first ?

0general

a pharmaceutical company received $ 3 million in royalties on the first $ 25 million in sales of and then $ 9 million in royalties on the next $ 130 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 25 million in sales to the next $ 130 million in sales ?

0general

running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 5 w widgets .

0general

two employees x and y are paid a total of rs . 616 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?

0general

carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ?

3geometry

a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 546 pounds after processing , how many pounds did it weigh before processing ?

2gain

jacob is now 14 years younger than michael . if 9 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?

0general

a bag consists of 60 marbles , of which 5 are blue , 9 are red , and the remainder are white . if lisa is to select a marble from the bag at random , what is the probability that the marble will be red or white ?

4probability

if 6 women can color 360 m long cloth in 3 days , then 5 women can color 100 m long cloth in ?

1physics

when a certain number x is divided by 95 , the remainder is 31 . what is the remainder when x is divided by 19 ?

0general

ram sold two bicycles , each for rs . 990 . if he made 10 % profit on the first and 10 % loss on the second , what is the total cost of both bicycles ?

2gain

the simple form of the ratio 7 / 6 : 3 / 2 is ?

5other

a company produces 72000 bottles of water everyday . if a case can hold 9 bottles of water . how many cases are required by the company to hold its one day production

1physics

a number is doubled and 5 is added . if the resultant is trebled , it becomes 135 . what is that number ?

0general

on average , activated yeast cells divide once every 120 minutes ; that is , each individual cell divides into two individual cells over that time span . given that a certain yeast colony consisted of 310000 cells two hours ago , approximately how many cells will be populating the colony 12 hours from now ?

0general

the population of a town is 8000 . it decreases annually at the rate of 10 % p . a . what will be its population after 1 years ?

2gain

the average ( arithmetic mean ) of 10 , 30 , and 50 is 8 more than the average of 20 , 40 , and x . what is x ?

0general

what is the value of ( p + q ) / ( p - q ) if p / q is 7 ?

0general

what is the square root of 625 , divided by 5 ?

5other

find the simple interest on rs . 350 for 10 months at 5 paisa per month ?

2gain

a and b can do a piece of work in 60 days and 60 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?

1physics

2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 9

0general

what is the ratio of 4 / 7 to the product 2 * ( 7 / 3 ) ?

0general

calculate the sum of first 39 natural numbers .

0general

operation # is defined as adding a randomly selected two digit multiple of 14 to a randomly selected two digit prime number and reducing the result by half . if operation # is repeated 10 times , what is the probability that it will yield at least two integers ?

0general

if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ?

3geometry

n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 4,5 and 6 is a digit of either n or m . what is the smallest possible positive difference between n and m ?

0general

of the 150 people at a party , 70 were women , and 40 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ?

0general

the breath of a rectangular landscape is 6 times its length . there is a playground in it whose area is 4200 square mtr & which is 1 / 7 th of the total landscape . what is the breath of the landscape ?

3geometry

it was calculated that 75 men could complete a piece of work in 25 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ?

1physics

a farmer divides his herd of x cows among his 4 sons so that one son gets one half of the herd , the second gets one - fourth , the third gets one - fifth and the fourth gets 7 cows . then x is equal to

0general

solve for x and check : x + 5 = 3

0general

a trained covered x km at 40 kmph and another 4 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .

0general

a rectangular block 8 cm by 24 cm by 56 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?

3geometry

the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 93 per day . what was his wage on the 8 th day ?

1physics

find the compound ratio of ( 2 : 3 ) , ( 5 : 11 ) and ( 11 : 2 ) is

5other

what is the least common multiple of 15 , 18 , and 34 ?

0general

a meeting has to be conducted with 4 managers . find the number of ways in which the managers may be selected from among 8 managers , if there are 2 managers who refuse to attend the meeting together .

4probability

on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 3 ?

0general

the contents of a certain box consist of 72 apples and 30 oranges . how many oranges must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples ?

0general

a factory produces 6000 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?

1physics

two mechanics were working on your car . one can complete the given job in six hours , but the new guy takes 9 hours . they worked together for the first two hours , but then the first guy left to help another mechanic on a different job . how long will it take the new guy to finish your car ?

1physics

a box contains 100 balls , numbered from 1 to 100 . if 3 balls are selected at random and with replacement from the box , what is the probability that the sum of the 3 numbers on the balls selected from the box will be odd ?

0general

two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?

5other

the average age of a class of 39 students is 15 years . if the age of the teacher be included , then the average increases by 3 months . find the age of the teacher .

0general

a man can row 5 kmph in still water . when the river is running at 2.3 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?

1physics

a part - time employee whose hourly wage was increased by 15 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ?

0general

if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4650 , how much r will receive ?

0general

a 260 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

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

0general

25 people went to a hotel for combine dinner party 15 of them spent rs . 5 each on their dinner and rest spent 4 more than the average expenditure of all the 25 . what was the total money spent by them .

0general

find the number of divisors of 1080 excluding the divisors which are perfect squares .

3geometry

line q has the equation 5 y – 3 x = 60 . if line s is perpendicular to q , has an integer for its y - intercept , and intersects q in the second quadrant , then how many possible line s ’ s exist ? ( note : intersections on one of the axes do not count . )

0general

when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 0.70 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ?

0general

on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number y of races we need to conduct to get the top 3 fastest horses ?

0general

walking at 5 / 6 of its usual speed , a train is 10 minutes too late . what is usual time to cover the journey ?

1physics

a fruit seller sells mangoes at the rate of rs . 6 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 %

2gain

the salaries of a and b together amount to $ 5000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ?

2gain

when tossed , a certain coin has an equal probability of landing on either side . if the coin is tossed 4 times , what is the probability that it will land on the same side each time ?

4probability

bob wants to run a mile in the same time as his sister . if bob ’ s time for a mile is currently 10 minutes 40 seconds and his sister ’ s time is currently 9 minutes 42 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?

1physics

convert 300 miles into meters ?

1physics

if d = 1 / ( 2 ^ 3 * 5 ^ 9 ) is expressed as a terminating decimal , how many nonzero digits will d have ?

0general

the average weight of 5 person ' s increases by 4 kg when a new person comes in place of one of them weighing 50 kg . what is the weight of the new person ?

0general

what is the smallest integer that is multiple of 7 , 12 and 20

0general

the average age of 15 students of a class is 15 years . out of these , the average age of 8 students is 14 years and that of the other 6 students is 16 years . the age of the 15 th student is

0general

the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 174,000 . what was the percent increase in the cost of the home ?

0general

in the faculty of reverse - engineering , 200 second year students study numeric methods , 400 second year students study automatic control of airborne vehicles and 100 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ?

0general

jerry went to a shop and bought things worth rs . 35 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?

2gain

how long does a train 110 m long running at the speed of 36 km / hr takes to cross a bridge 132 m length ?

1physics

kathleen can paint a room in 3 hours , and anthony can paint an identical room in 5 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?

1physics

1200 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?

1physics

the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 35 , what is the greatest possible value that one of the other 2 integers can have ?

0general

what will be the compound interest on a sum of rs . 21,000 after 3 years at the rate of 12 % p . a . ?

2gain

a man swims downstream 72 km and upstream 45 km taking 10 hours each time ; what is the speed of the current ?

1physics

the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 65 sq . cm . find the length of the rectangle .

3geometry

find the amount on rs . 6000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ?

2gain

an aeroplane covers a certain distance at a speed of 320 kmph in 4 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :

1physics

a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product . the customer managed to buy only 70 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?

0general

a group of men decided to do a work in 10 days , but 5 of them became absent . if the rest of the group did the work in 12 days , find the original number of men ?

1physics

george can do a piece of work in 8 hours . paul can do the same work in 10 hours , hari can do the same work in 12 hours . george , paul and hari start the same work at 9 am , while george stops at 11 am , the remaining two complete the work . what time will the work complete ?

1physics

if x and y are both odd prime numbers and x < y , how many distinct positive integer factors does 2 xy have ?

5other

if 3 cats can kill 3 rats in 3 minutes , how long will it take 100 cats to kill 100 rats ?

1physics

hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of two hammers and three wrenches is one - third that of 6 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ?

0general

a certain quantity of 80 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ?

5other

the number of diagonals of a polygon of n sides is given by the formula c = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ?

0general

5358 x 53 = ?

0general

80 is increased by 50 % . find the final number .

2gain

the total age of a and b is 12 years more than the total age of b and c . c is how many years younger than a ?

0general

in a bag , there are 2400 ball , and their colors are red , green blue . . the ratio of the balls are 15 : 13 : 17 . then how many red color balls are available in the bag ?

5other

the average age of 39 students in a group is 10 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ?

0general

an alloy is to contain copper and zinc in the ratio 9 : 4 . the zinc required to be melted with 24 kg of copper is ?

5other

two trains of equal lengths take 9 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?

1physics

trains a and b start simultaneously from stations 350 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 40 miles per hour and 30 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?

1physics

harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 6 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?

0general

for how many values of n , is | | | n - 5 | - 10 | - 5 | = 2 ? ( those ls are mods )

0general

mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 42 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?

0general

a certain bus driver is paid a regular rate of $ 15 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 976 in total compensation , how many total hours did he work that week ?

0general