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

Problem stringlengths 5 967	category class label 6 classes
a , b , c , d and e are 5 consecutive points on a straight line . if bc = 3 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?	1physics
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 3,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?	2gain
if a : b : : 3 : 7 , then what is ( 5 a + 6 b ) : ( a - 4 b ) ?	0general
of 3 numbers , the third is 4 times the second and the second is two times the first . if their average is 165 , the second number of the 3 numbers is :	0general
the side of a rhombus is 20 m and length of one of its diagonals is 16 m . the area of the rhombus is ?	3geometry
in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 50 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?	2gain
how many seconds will a train 70 meters long take to cross a bridge 80 meters long if the speed of the train is 36 kmph ?	1physics
for the past n days , the average ( arithmetic mean ) daily production at a company was 30 units . if today ' s production of 90 units raises the average to 35 units per day , what is the value of n ?	0general
how many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number ?	0general
there were two candidates in an election . winner candidate received 70 % of votes and won the election by 280 votes . find the number of votes casted to the winning candidate ?	2gain
add 16 % of 36 and 13 % of 45 .	2gain
a is 30 % more efficient than b . how much time will they , working together , take to complete a job which a alone could have done in 23 days ?	1physics
suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3850 . what is the difference between rohan ’ s and sudhir ’ s share in the profit ?	2gain
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 72 km / hr . what is the length of the platform ?	1physics
in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?	2gain
a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?	0general
if 4 / p = 8 & 6 / q = 18 then p - q = ?	0general
a box contain the number of balls which is as much greater than 20 is less than 30 . the number of balls is ?	0general
if 10 typists can type 30 letters in 30 minutes , then how many letters will 40 typists working at the same rate complete in 1 hour ?	1physics
a car going at 20 miles per hour set out on an 80 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ?	1physics
the ratio of number of boys and girls in a school is 1 : 2 . if there are 90 students in the school , find the number of girls in the school ?	5other
an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ?	0general
a group of 3 investors and 3 clients recently frequented the chinese luyang restaurant . the total bill for the meal , including 20 % gratuity , came to $ 720 . on average , how much did the meal of each individual cost before gratuity ?	0general
a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 30 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?	1physics
a man cycling along the road noticed that every 10 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?	1physics
the simple form of the ratio 4 / 2 : 2 / 5 is ?	5other
the average score of 35 students in a class is 37 . if every student is given 3 grace marks , the new average of the class is :	0general
chris mixed 3 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 2 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?	0general
82 * 83 * 84 * . . 89 what is the digit in units place ?	0general
a bag contains 20 red jellybeans and 20 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability that all 3 jellybeans removed from the bag are blue ?	4probability
a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on conveyence . if he has rs . 1400 left with him , find his expenditure on food and conveyence .	0general
there are 17 students in a certain class . on the day the test was given , taqeesha was absent . the other 16 students took the test , and their average was 77 . the next day , taqeesha took the test , and with her grade included , the new average is 78 . what is taqeesha ’ s grade on the test ?	0general
from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 15 percent . the enrollment on january 1 , 1993 , was 60 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?	2gain
a reduction of 30 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?	2gain
a , b , c and d are 4 consecutive numbers . if the sum of a and dis 109 , what is the product of b and c ?	0general
jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent q ?	1physics
a student traveled 25 percent of the distance of the trip alone , continued another 40 miles with a friend , and then finished the last half of the trip alone . how many miles long was the trip ?	1physics
of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 4 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ?	0general
if the personal income tax rate is lowered from 42 % to 28 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 34500 ?	2gain
solve the equation for x : 5 x - 14 + 3 x = 4 + 9 - x	0general
the positive integers a and b leave remainders of 2 and 3 , respectively , when divided by 6 . a > b . what is the remainder when a – b is divided by 6 ?	0general
john left home and drove at the rate of 35 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?	1physics
a team won 40 percent of its first 30 games in a particular season , and 80 percent of its remaining games . if the team won a total of 70 percent of its games that season , what was the total number of games that the team played ?	2gain
mangoes , oranges and apples in a fruit shop are in the ratio of 10 : 2 : 3 . if there are 120 mangoes , the number of apples in the shop is : .	5other
the average ( arithmetic mean ) of 20 , 40 , and 60 is 9 more than the average of 10 , 70 , and what number ?	0general
if 4 xz + yw = 3 and xw + yz = 6 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ?	0general
the sum of three consecutive even numbers is 42 . find the middle number of the three ?	1physics
in may mrs lee ' s earnings were 60 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?	0general
two cars start at the same time from opposite ends of a highway that is 105 miles long . one car is riding at 15 mph and the second car is riding at 20 mph . how long after they begin will they meet ?	1physics
the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the youngest child ?	0general
the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is	0general
find the annual income derived by investing $ 6800 in 10 % stock at 136 .	2gain
find the sum of first 32 natural numbers	0general
how many 4 digit numbers are there , if it is known that the first digit is odd , the second is even , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 2 can be used only once ?	1physics
there are 60 people and 3 clubs m , s , and z in a company . 16 people joined m , 18 people joined s and 11 people joined z . if the members of m did not join any other club , at most , how many people of the company did not join any club ?	1physics
3 * 14 + 3 * 15 + 3 * 18 + 11 = ?	0general
how many digits 2 ^ 10 has ?	0general
550 − ( 104 ÷ 20.8 ) = ?	0general
what is the greatest prime factor of 4 ^ 6 - 1 ?	0general
a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ?	0general
find the simple interest on rs . 620 for 10 months at 10 paisa per month ?	2gain
one pump drains one - half of a pond in 4 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?	1physics
if 0.60 : x : : 6 : 4 , then x is equal to	0general
in a small snack shop , the average ( arithmetic mean ) revenue was $ 400 per day over a 10 - day period . during this period , if the average daily revenue was $ 360 for the first 6 days , what was the average daily revenue for the last 4 days ?	0general
water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c . if the temperature of a pot of water is 50 ° c , what is the temperature of the pot of water in ° f ?	1physics
louie takes out a 3 - month loan of $ 1000 . the lender charges him 10 % interest per month compunded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louie have to pay each month ?	0general
when positive integer n is divided by positive integer j , the remainder is 26 . if n / j = 150.40 , what is value of j ?	0general
kim has 9 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 18 shoes , what is the probability that she will select 2 shoes of the same color ?	4probability
rahim bought 4 pillows with the average cost of $ 5 . if rahim also buys the fifth pillow with the price of $ 10 , what is the average ( arithmetic mean ) price of those 5 pillows ?	0general
there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total e of the book ?	5other
- 84 x 19 + 100 = ?	0general
the length of a rectangle is halved , while its breadth is tripled . whatis the % change in area ?	3geometry
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 15 , what was the price before the first discount ?	2gain
the average of first six prime numbers which are between 20 and 60 is	0general
the length of the bridge , which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds , is :	1physics
for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?	0general
in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 3 / 5 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ?	0general
there are 20 poles with a constant distance between each pole . a car takes 22 second to reach the 12 th pole . how much will it take to reach the last pole .	1physics
meena wrote all the numbers from 1 to 39,999 inclusive . how many digits did she write in total ?	0general
solution a is 20 % salt and solution b is 70 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ?	5other
what is the smallest integer that satisfies the inequality ( x - 3 ) / ( x ^ 2 - 8 x - 20 ) > 0 > 0 ?	0general
in a 100 m race , a covers the distance in 36 seconds and b in 45 second . in this race a beats b by :	1physics
a owner of a mart earns an income of re 1 on the first day of his business . on every subsequent day , he earns an income which is just double of that made on the previous day . on the 10 th day of business , he earns an income of :	1physics
if p = 125 × 243 × 16 / 405 , how many digits are in p ?	0general
jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 34 years old , and she stopped baby - sitting 10 years ago . what is the current age of the oldest person for whom jane could have baby - sat ?	0general
from the sale of sleeping bags , a retailer made a gross profit of 17 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?	2gain
mixture contains alcohol and water in the ratio 4 : 3 . if 6.5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture .	0general
if the diagonals of a rhombus are 24 cm and 10 cm , what will be its perimeter	1physics
the cost of carpeting a room 18 m long with a carpet 75 cm wide at 4.50 per metre is 810 . the breadth of the room is :	1physics
a farmer with 1350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ?	5other
a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :	3geometry
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 3.00 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?	1physics
the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 5 : 4 : 2 . someone removes 9 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ?	5other
for a race a distance of 224 meters can be covered by p in 7 seconds and q in 32 seconds . by what distance does p defeat q eventually ?	1physics
in a particular state , 70 % of the counties received some rain on monday , and 55 % of the counties received some rain on tuesday . no rain fell either day in 35 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?	2gain
the present worth of a certain bill due sometime hence is rs . 400 and the true discount is rs . 20 . what is the banker ' s discount ?	2gain
the true discount on a bill of rs . 2660 is rs . 360 . what is the banker ' s discount ?	2gain
a train covered half of the distance between stations a and b at the speed of 48 km / hr , but then it had to stop for 15 min . to make up for the delay , it increased its speed by 53 m / sec and it arrived to station b on time . find the distance between the two stations and the speed of the train after the stop .	1physics
a certain city with a population of 84,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ?	0general
if the number 892 , 132,27 x is divisible by 11 , what must be the value of x ?	0general

a , b , c , d and e are 5 consecutive points on a straight line . if bc = 3 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?

1physics

a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 3,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?

2gain

if a : b : : 3 : 7 , then what is ( 5 a + 6 b ) : ( a - 4 b ) ?

0general

of 3 numbers , the third is 4 times the second and the second is two times the first . if their average is 165 , the second number of the 3 numbers is :

0general

the side of a rhombus is 20 m and length of one of its diagonals is 16 m . the area of the rhombus is ?

3geometry

in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 50 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?

2gain

how many seconds will a train 70 meters long take to cross a bridge 80 meters long if the speed of the train is 36 kmph ?

1physics

for the past n days , the average ( arithmetic mean ) daily production at a company was 30 units . if today ' s production of 90 units raises the average to 35 units per day , what is the value of n ?

0general

how many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number ?

0general

there were two candidates in an election . winner candidate received 70 % of votes and won the election by 280 votes . find the number of votes casted to the winning candidate ?

2gain

add 16 % of 36 and 13 % of 45 .

2gain

a is 30 % more efficient than b . how much time will they , working together , take to complete a job which a alone could have done in 23 days ?

1physics

suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3850 . what is the difference between rohan ’ s and sudhir ’ s share in the profit ?

2gain

a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 72 km / hr . what is the length of the platform ?

1physics

in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 75 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are expected to vote for candidate a ?

2gain

a jogger running at 9 km / hr along side a railway track is 200 m ahead of the engine of a 210 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?

0general

if 4 / p = 8 & 6 / q = 18 then p - q = ?

0general

a box contain the number of balls which is as much greater than 20 is less than 30 . the number of balls is ?

0general

if 10 typists can type 30 letters in 30 minutes , then how many letters will 40 typists working at the same rate complete in 1 hour ?

1physics

a car going at 20 miles per hour set out on an 80 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ?

1physics

the ratio of number of boys and girls in a school is 1 : 2 . if there are 90 students in the school , find the number of girls in the school ?

5other

an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ?

0general

a group of 3 investors and 3 clients recently frequented the chinese luyang restaurant . the total bill for the meal , including 20 % gratuity , came to $ 720 . on average , how much did the meal of each individual cost before gratuity ?

0general

a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 30 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?

1physics

a man cycling along the road noticed that every 10 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?

1physics

the simple form of the ratio 4 / 2 : 2 / 5 is ?

5other

the average score of 35 students in a class is 37 . if every student is given 3 grace marks , the new average of the class is :

0general

chris mixed 3 pounds of raisins with 4 pounds of nuts . if a pound of nuts costs 2 times as much as a pound of raisins , then the total cost of the raisins was what fraction of the total cost of the mixture ?

0general

82 * 83 * 84 * . . 89 what is the digit in units place ?

0general

a bag contains 20 red jellybeans and 20 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability that all 3 jellybeans removed from the bag are blue ?

4probability

a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on conveyence . if he has rs . 1400 left with him , find his expenditure on food and conveyence .

0general

there are 17 students in a certain class . on the day the test was given , taqeesha was absent . the other 16 students took the test , and their average was 77 . the next day , taqeesha took the test , and with her grade included , the new average is 78 . what is taqeesha ’ s grade on the test ?

0general

from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 15 percent . the enrollment on january 1 , 1993 , was 60 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?

2gain

a reduction of 30 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?

2gain

a , b , c and d are 4 consecutive numbers . if the sum of a and dis 109 , what is the product of b and c ?

0general

jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent q ?

1physics

a student traveled 25 percent of the distance of the trip alone , continued another 40 miles with a friend , and then finished the last half of the trip alone . how many miles long was the trip ?

1physics

of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 4 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ?

0general

if the personal income tax rate is lowered from 42 % to 28 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 34500 ?

2gain

solve the equation for x : 5 x - 14 + 3 x = 4 + 9 - x

0general

the positive integers a and b leave remainders of 2 and 3 , respectively , when divided by 6 . a > b . what is the remainder when a – b is divided by 6 ?

0general

john left home and drove at the rate of 35 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?

1physics

a team won 40 percent of its first 30 games in a particular season , and 80 percent of its remaining games . if the team won a total of 70 percent of its games that season , what was the total number of games that the team played ?

2gain

mangoes , oranges and apples in a fruit shop are in the ratio of 10 : 2 : 3 . if there are 120 mangoes , the number of apples in the shop is : .

5other

the average ( arithmetic mean ) of 20 , 40 , and 60 is 9 more than the average of 10 , 70 , and what number ?

0general

if 4 xz + yw = 3 and xw + yz = 6 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ?

0general

the sum of three consecutive even numbers is 42 . find the middle number of the three ?

1physics

in may mrs lee ' s earnings were 60 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?

0general

two cars start at the same time from opposite ends of a highway that is 105 miles long . one car is riding at 15 mph and the second car is riding at 20 mph . how long after they begin will they meet ?

1physics

the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the youngest child ?

0general

the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is

0general

find the annual income derived by investing $ 6800 in 10 % stock at 136 .

2gain

find the sum of first 32 natural numbers

0general

how many 4 digit numbers are there , if it is known that the first digit is odd , the second is even , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 2 can be used only once ?

1physics

there are 60 people and 3 clubs m , s , and z in a company . 16 people joined m , 18 people joined s and 11 people joined z . if the members of m did not join any other club , at most , how many people of the company did not join any club ?

1physics

3 * 14 + 3 * 15 + 3 * 18 + 11 = ?

0general

how many digits 2 ^ 10 has ?

0general

550 − ( 104 ÷ 20.8 ) = ?

0general

what is the greatest prime factor of 4 ^ 6 - 1 ?

0general

a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ?

0general

find the simple interest on rs . 620 for 10 months at 10 paisa per month ?

2gain

one pump drains one - half of a pond in 4 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?

1physics

if 0.60 : x : : 6 : 4 , then x is equal to

0general

in a small snack shop , the average ( arithmetic mean ) revenue was $ 400 per day over a 10 - day period . during this period , if the average daily revenue was $ 360 for the first 6 days , what was the average daily revenue for the last 4 days ?

0general

water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c . if the temperature of a pot of water is 50 ° c , what is the temperature of the pot of water in ° f ?

1physics

louie takes out a 3 - month loan of $ 1000 . the lender charges him 10 % interest per month compunded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louie have to pay each month ?

0general

when positive integer n is divided by positive integer j , the remainder is 26 . if n / j = 150.40 , what is value of j ?

0general

kim has 9 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 18 shoes , what is the probability that she will select 2 shoes of the same color ?

4probability

rahim bought 4 pillows with the average cost of $ 5 . if rahim also buys the fifth pillow with the price of $ 10 , what is the average ( arithmetic mean ) price of those 5 pillows ?

0general

there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total e of the book ?

5other

- 84 x 19 + 100 = ?

0general

the length of a rectangle is halved , while its breadth is tripled . whatis the % change in area ?

3geometry

john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 15 , what was the price before the first discount ?

2gain

the average of first six prime numbers which are between 20 and 60 is

0general

the length of the bridge , which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds , is :

1physics

for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 20 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?

0general

in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 3 / 5 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ?

0general

there are 20 poles with a constant distance between each pole . a car takes 22 second to reach the 12 th pole . how much will it take to reach the last pole .

1physics

meena wrote all the numbers from 1 to 39,999 inclusive . how many digits did she write in total ?

0general

solution a is 20 % salt and solution b is 70 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ?

5other

what is the smallest integer that satisfies the inequality ( x - 3 ) / ( x ^ 2 - 8 x - 20 ) > 0 > 0 ?

0general

in a 100 m race , a covers the distance in 36 seconds and b in 45 second . in this race a beats b by :

1physics

a owner of a mart earns an income of re 1 on the first day of his business . on every subsequent day , he earns an income which is just double of that made on the previous day . on the 10 th day of business , he earns an income of :

1physics

if p = 125 × 243 × 16 / 405 , how many digits are in p ?

0general

jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 34 years old , and she stopped baby - sitting 10 years ago . what is the current age of the oldest person for whom jane could have baby - sat ?

0general

from the sale of sleeping bags , a retailer made a gross profit of 17 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?

2gain

mixture contains alcohol and water in the ratio 4 : 3 . if 6.5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture .

0general

if the diagonals of a rhombus are 24 cm and 10 cm , what will be its perimeter

1physics

the cost of carpeting a room 18 m long with a carpet 75 cm wide at 4.50 per metre is 810 . the breadth of the room is :

1physics

a farmer with 1350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 2 : 5 , respectively . how many more acres of land were planted with tobacco under the new system ?

5other

a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :

3geometry

the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 3.00 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?

1physics

the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 5 : 4 : 2 . someone removes 9 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ?

5other

for a race a distance of 224 meters can be covered by p in 7 seconds and q in 32 seconds . by what distance does p defeat q eventually ?

1physics

in a particular state , 70 % of the counties received some rain on monday , and 55 % of the counties received some rain on tuesday . no rain fell either day in 35 % of the counties in the state . what percent of the counties received some rain on monday and tuesday ?

2gain

the present worth of a certain bill due sometime hence is rs . 400 and the true discount is rs . 20 . what is the banker ' s discount ?

2gain

the true discount on a bill of rs . 2660 is rs . 360 . what is the banker ' s discount ?

2gain

a train covered half of the distance between stations a and b at the speed of 48 km / hr , but then it had to stop for 15 min . to make up for the delay , it increased its speed by 53 m / sec and it arrived to station b on time . find the distance between the two stations and the speed of the train after the stop .

1physics

a certain city with a population of 84,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ?

0general

if the number 892 , 132,27 x is divisible by 11 , what must be the value of x ?

0general