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

Problem stringlengths 5 967	category class label 6 classes
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length if the wire in meters will be :	1physics
a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 48 , find the sum of money ?	0general
a is four times as fast as b . if b alone can do a piece of work in 60 days , in what time can a and b together complete the work ?	1physics
8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 10 men , 4 women and 10 children together complete the piece of work ?	1physics
if a positive integer n has 211 factors , then how many prime factors does n have ?	5other
rahim bought 65 books for rs . 1150 from one shop and 50 books for rs . 920 from another . what is the average price he paid per book ?	0general
a cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm . find the total area of the wet surface .	1physics
a city with a population of 173,460 is to be divided into 9 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
car q and car y traveled the same 80 - mile route . if car q took 2 hours and car y traveled at an average speed that was 50 percent faster than the average speed of car q , how many hours did it take car y to travel the route ?	1physics
3 pig ’ s and 10 hens are brought for rs . 1200 . if the average price of a hen be rs . 30 . what is the average price of a pig .	0general
how many factors of 240 are also multiples of 3 ?	5other
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 46800 , how much amount per month would he have spent on clothes and transport ?	0general
a train 605 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?	1physics
tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4500 . they earned a profit of rs . 6300 after completion of one year . what will be jose ' s share of profit ?	2gain
the simple form of the ratio 2 / 3 : 2 / 5 is	5other
rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 83 . how much was lent at 5 % ?	2gain
a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is ?	2gain
gold is 10 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 6 times as heavy as water ?	0general
calculate how many days it will take for 8 boys to paint a 50 m long wall if 6 boys can paint a 60 m long wall in 5 days ,	1physics
a fair price shopkeeper takes 10 % profit on his goods . he lost 20 % goods during theft . his loss percent is :	2gain
a customer went to a shop and paid a total of $ 40 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?	2gain
albert buys 4 horses and 9 cows for rs . 13,400 . if he sells the horses at 10 % profit and the cows at 20 % profit , then he earns a total profit of rs . 1880 . the cost of a horse is :	2gain
two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively . find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?	1physics
the edge of a cube is 7 a cm . find its surface ?	3geometry
if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value s of z - x ?	0general
if renee earns a raise of between 5 % and 10 % , non - inclusive , by what fraction could her salary have increased ?	0general
a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent r of the cost would the gross profit on the item have been if it had been sold without the discount ?	2gain
in δ pqs above , if pq = 5 and ps = 6 , then	0general
in a graduate physics course , 70 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the male students is single ?	2gain
johnny travels a total of one hour to and from school . on the way there he jogs at 4 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour . how far is it to the school ?	1physics
an engine moves at the speed of 90 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 4 coaches are attached speed decreases to 78 kmph . what will be the speed of train when 16 coaches are attached .	1physics
at what rate percent of simple interest will a sum of money double itself in 77 years ?	2gain
what is the value of 10 ^ 7 - 6 ^ 5 ?	0general
dacid obtained 73 , 69 , 92 , 64 and 82 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
in may mrs lee ' s earnings were 60 percent of the lee family ' s total income . in june mrs lee earned 30 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
r and s together can plough a field in 10 hours but by himself r requires 15 hours . how long would s take to plough the same field ?	1physics
the area of a square is equal to five times the area of a rectangle of dimensions 60 cm * 12 cm . what is the perimeter of the square ?	3geometry
36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203 . what is the first part ?	0general
roy is now 8 years older than julia and half of that amount older than kelly . if in 2 years , roy will be twice as old as julia , then in 2 years what would be roy ’ s age multiplied by kelly ’ s age ?	0general
the radius of a cylindrical vessel is 5 cm and height is 3 cm . find the whole surface of the cylinder ?	3geometry
mike works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 500 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 62,500 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ?	1physics
the average weight of a group of boys is 20 kg . after a boy of weight 35 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?	0general
at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.75 to bowl 1 game . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?	1physics
the ratio of number of boys and girls in a school is 3 : 5 . if there are 320 students in the school , find the number of girls in the school ?	5other
the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.5 , respectively . what value is exactly 2 standard deviations less than the mean ?	0general
a girl sitting in a train which is travelling at 100 kmph observes that a goods train travelling in a opposite direction , takes 6 seconds to pass him . if the goods train is 560 m long , find its speed .	1physics
the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ?	0general
a can do a piece of work in 10 days and b alone can do it in 15 days . how much time will both take to finish the work ?	1physics
in a class of 25 students in an examination in maths 5 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ?	0general
if \| 20 x - 10 \| = 190 , then find the product of the values of x ?	0general
how many positive integers between 1 and 400 are there such that they are multiples of 25 ?	0general
if the range w of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ?	0general
how many 7 digit number contain number 3 ?	0general
the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 18 % , then the cost price of the article is :	2gain
how many integers from 10 to 180 , inclusive , are divisible by 3 but not divisible by 7 ?	0general
12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required	1physics
if x is an integer and 2.134 × 10 ^ x is less than 220,000 , what is the greatest possible value for x ?	0general
calculate 469157 x 9999 = ?	0general
the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ?	3geometry
there are 10 dozen mangoes in a box . if there are 36 such boxes , how many mangoes are there in all the boxes together ?	0general
if a and b are in the ratio 3 : 4 , and b and c in the ratio 12 : 13 , then a and c will be in the ratio	5other
the sum of a number and the number preceding it is 33 . by how much is two less than 6 times the number ?	0general
4,18 , 100,294 , ___	0general
a bag holds 5 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ?	5other
what is the smallest integer x for which 27 ^ x > 3 ^ 24 ?	0general
a man can row downstream at 16 kmph and upstream at 12 kmph . find the speed of the man in still water .	1physics
a shopkeeper sold an article offering a discount of 4 % and earned a profit of 38 % . what would have been the percentage of profit earned if no discount was offered ?	2gain
two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?	1physics
solve ( 0.76 × 0.76 × 0.76 − 0.008 ) / ( 0.76 × 0.76 + 0.76 × 0.2 + 0.04 )	0general
what is the maximum area that can be enclosed by a wire 44 cm long ?	1physics
if the average ( arithmetic mean ) of 2 x , 4 x , and 8 x is 140 , what is the value of x ?	0general
if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 10 inclusive ?	0general
what is the positive difference between the sum of the squares of the first 5 positive integers and the sum of the prime numbers between the first square and fourth square ?	0general
find the value of 80641 x 9999 = m ?	0general
3889 + 12.952 – ? = 3854.002	0general
huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?	3geometry
which number is a factor of 20 ?	5other
there are 2 sections a and b in a class , consisting of 24 and 16 students respectively . if the average weight of section a is 40 kg and that of section b is 35 kg , find the average of the whole class ?	0general
if n divided by 5 has a remainder of 4 , what is the remainder when 3 times n is divided by 5 ?	0general
a man can row downstream at 18 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ?	1physics
if four machines working at the same rate can do 3 / 4 of a job in 30 minutes , how many minutes would it take two machines working at the same rate to do 3 / 5 of the job ?	1physics
the ratio of number of boys and girls in a school is 2 : 5 . if there are 210 students in the school , find the number of girls in the school ?	5other
what is the lowest positive integer that is divisible by each of the integers 1 through 10 inclusive ?	0general
there are two positive integers a and b . what is the probability that a + b is odd /	0general
of the 150 employees at company x , 60 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ?	0general
if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be	3geometry
what is the least number . which should be added to 0.0355 to make it a perfect square ?	0general
if x + 4 y = 5 and 5 x + 6 y = 7 , then 3 x + 5 y = ?	0general
the distance from steve ' s house to work is 10 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?	1physics
300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 35 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ?	0general
a work can be finished in 30 days by 30 women . the same work can be finished in fifteen days by 15 men . the ratio between the capacity of a man and a woman is	1physics
if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 8 children have two children of the same sex and one of the opposite sex ?	0general
? % of 360 = 126	2gain
the area of a circle of radius 5 is numerically what percent of its circumference ?	3geometry
jony walks along sunrise boulevard daily . he starts walking at 07 : 00 from block 10 and walks to block 90 where he turns around and walks back to block 70 , where he stops at 07 : 40 . the blocks along the boulevard are numbered sequentially ( 1 , 2,3 ) , and each block measures 40 meters . what is jony ' s speed in meters per minute ?	1physics
car a is 40 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?	1physics
in the xy - coordinate plane , the graph of y = - x ^ 2 + 9 intersects line l at ( p , 5 ) and ( t , - 8 ) . what is the least possible value of the slope of line l ?	0general
two fill taps a and b can separately fill a cistern in 45 and 40 minutes respectively . they started to fill a cistern together but tap a is turned off after few minutes and tap b fills the rest part of cistern in 23 minutes . after how many minutes , was tap a turned - off ?	1physics
find the compound interest on $ 1200 for 4 years at 20 % p . a . if ci is component yearly ?	2gain
in a company 10 % of male staff are same in number as 1 / 4 th of the female staff . what is the ratio of male staff to female staff	5other

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length if the wire in meters will be :

1physics

a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 48 , find the sum of money ?

0general

a is four times as fast as b . if b alone can do a piece of work in 60 days , in what time can a and b together complete the work ?

1physics

8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 10 men , 4 women and 10 children together complete the piece of work ?

1physics

if a positive integer n has 211 factors , then how many prime factors does n have ?

5other

rahim bought 65 books for rs . 1150 from one shop and 50 books for rs . 920 from another . what is the average price he paid per book ?

0general

a cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm . find the total area of the wet surface .

1physics

a city with a population of 173,460 is to be divided into 9 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

car q and car y traveled the same 80 - mile route . if car q took 2 hours and car y traveled at an average speed that was 50 percent faster than the average speed of car q , how many hours did it take car y to travel the route ?

1physics

3 pig ’ s and 10 hens are brought for rs . 1200 . if the average price of a hen be rs . 30 . what is the average price of a pig .

0general

how many factors of 240 are also multiples of 3 ?

5other

mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 46800 , how much amount per month would he have spent on clothes and transport ?

0general

a train 605 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?

1physics

tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4500 . they earned a profit of rs . 6300 after completion of one year . what will be jose ' s share of profit ?

2gain

the simple form of the ratio 2 / 3 : 2 / 5 is

5other

rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 83 . how much was lent at 5 % ?

2gain

a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is ?

2gain

gold is 10 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 6 times as heavy as water ?

0general

calculate how many days it will take for 8 boys to paint a 50 m long wall if 6 boys can paint a 60 m long wall in 5 days ,

1physics

a fair price shopkeeper takes 10 % profit on his goods . he lost 20 % goods during theft . his loss percent is :

2gain

a customer went to a shop and paid a total of $ 40 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?

2gain

albert buys 4 horses and 9 cows for rs . 13,400 . if he sells the horses at 10 % profit and the cows at 20 % profit , then he earns a total profit of rs . 1880 . the cost of a horse is :

2gain

two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively . find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?

1physics

the edge of a cube is 7 a cm . find its surface ?

3geometry

if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value s of z - x ?

0general

if renee earns a raise of between 5 % and 10 % , non - inclusive , by what fraction could her salary have increased ?

0general

a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent r of the cost would the gross profit on the item have been if it had been sold without the discount ?

2gain

in δ pqs above , if pq = 5 and ps = 6 , then

0general

in a graduate physics course , 70 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the male students is single ?

2gain

johnny travels a total of one hour to and from school . on the way there he jogs at 4 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour . how far is it to the school ?

1physics

an engine moves at the speed of 90 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 4 coaches are attached speed decreases to 78 kmph . what will be the speed of train when 16 coaches are attached .

1physics

at what rate percent of simple interest will a sum of money double itself in 77 years ?

2gain

what is the value of 10 ^ 7 - 6 ^ 5 ?

0general

dacid obtained 73 , 69 , 92 , 64 and 82 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

in may mrs lee ' s earnings were 60 percent of the lee family ' s total income . in june mrs lee earned 30 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

r and s together can plough a field in 10 hours but by himself r requires 15 hours . how long would s take to plough the same field ?

1physics

the area of a square is equal to five times the area of a rectangle of dimensions 60 cm * 12 cm . what is the perimeter of the square ?

3geometry

36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203 . what is the first part ?

0general

roy is now 8 years older than julia and half of that amount older than kelly . if in 2 years , roy will be twice as old as julia , then in 2 years what would be roy ’ s age multiplied by kelly ’ s age ?

0general

the radius of a cylindrical vessel is 5 cm and height is 3 cm . find the whole surface of the cylinder ?

3geometry

mike works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 500 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 62,500 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ?

1physics

the average weight of a group of boys is 20 kg . after a boy of weight 35 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?

0general

at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.75 to bowl 1 game . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?

1physics

the ratio of number of boys and girls in a school is 3 : 5 . if there are 320 students in the school , find the number of girls in the school ?

5other

the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.5 , respectively . what value is exactly 2 standard deviations less than the mean ?

0general

a girl sitting in a train which is travelling at 100 kmph observes that a goods train travelling in a opposite direction , takes 6 seconds to pass him . if the goods train is 560 m long , find its speed .

1physics

the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ?

0general

a can do a piece of work in 10 days and b alone can do it in 15 days . how much time will both take to finish the work ?

1physics

in a class of 25 students in an examination in maths 5 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ?

0general

if | 20 x - 10 | = 190 , then find the product of the values of x ?

0general

how many positive integers between 1 and 400 are there such that they are multiples of 25 ?

0general

if the range w of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ?

0general

how many 7 digit number contain number 3 ?

0general

the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 18 % , then the cost price of the article is :

2gain

how many integers from 10 to 180 , inclusive , are divisible by 3 but not divisible by 7 ?

0general

12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required

1physics

if x is an integer and 2.134 × 10 ^ x is less than 220,000 , what is the greatest possible value for x ?

0general

calculate 469157 x 9999 = ?

0general

the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ?

3geometry

there are 10 dozen mangoes in a box . if there are 36 such boxes , how many mangoes are there in all the boxes together ?

0general

if a and b are in the ratio 3 : 4 , and b and c in the ratio 12 : 13 , then a and c will be in the ratio

5other

the sum of a number and the number preceding it is 33 . by how much is two less than 6 times the number ?

0general

4,18 , 100,294 , ___

0general

a bag holds 5 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ?

5other

what is the smallest integer x for which 27 ^ x > 3 ^ 24 ?

0general

a man can row downstream at 16 kmph and upstream at 12 kmph . find the speed of the man in still water .

1physics

a shopkeeper sold an article offering a discount of 4 % and earned a profit of 38 % . what would have been the percentage of profit earned if no discount was offered ?

2gain

two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?

1physics

solve ( 0.76 × 0.76 × 0.76 − 0.008 ) / ( 0.76 × 0.76 + 0.76 × 0.2 + 0.04 )

0general

what is the maximum area that can be enclosed by a wire 44 cm long ?

1physics

if the average ( arithmetic mean ) of 2 x , 4 x , and 8 x is 140 , what is the value of x ?

0general

if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 10 inclusive ?

0general

what is the positive difference between the sum of the squares of the first 5 positive integers and the sum of the prime numbers between the first square and fourth square ?

0general

find the value of 80641 x 9999 = m ?

0general

3889 + 12.952 – ? = 3854.002

0general

huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?

3geometry

which number is a factor of 20 ?

5other

there are 2 sections a and b in a class , consisting of 24 and 16 students respectively . if the average weight of section a is 40 kg and that of section b is 35 kg , find the average of the whole class ?

0general

if n divided by 5 has a remainder of 4 , what is the remainder when 3 times n is divided by 5 ?

0general

a man can row downstream at 18 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ?

1physics

if four machines working at the same rate can do 3 / 4 of a job in 30 minutes , how many minutes would it take two machines working at the same rate to do 3 / 5 of the job ?

1physics

the ratio of number of boys and girls in a school is 2 : 5 . if there are 210 students in the school , find the number of girls in the school ?

5other

what is the lowest positive integer that is divisible by each of the integers 1 through 10 inclusive ?

0general

there are two positive integers a and b . what is the probability that a + b is odd /

0general

of the 150 employees at company x , 60 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ?

0general

if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be

3geometry

what is the least number . which should be added to 0.0355 to make it a perfect square ?

0general

if x + 4 y = 5 and 5 x + 6 y = 7 , then 3 x + 5 y = ?

0general

the distance from steve ' s house to work is 10 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?

1physics

300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store . 60 % of the customers in the survey had purchased clothes for less than $ 100 . 40 % of the customers in the survey reported they were overall satisfied with their purchase . 35 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase . what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase ?

0general

a work can be finished in 30 days by 30 women . the same work can be finished in fifteen days by 15 men . the ratio between the capacity of a man and a woman is

1physics

if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 8 children have two children of the same sex and one of the opposite sex ?

0general

? % of 360 = 126

2gain

the area of a circle of radius 5 is numerically what percent of its circumference ?

3geometry

jony walks along sunrise boulevard daily . he starts walking at 07 : 00 from block 10 and walks to block 90 where he turns around and walks back to block 70 , where he stops at 07 : 40 . the blocks along the boulevard are numbered sequentially ( 1 , 2,3 ) , and each block measures 40 meters . what is jony ' s speed in meters per minute ?

1physics

car a is 40 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?

1physics

in the xy - coordinate plane , the graph of y = - x ^ 2 + 9 intersects line l at ( p , 5 ) and ( t , - 8 ) . what is the least possible value of the slope of line l ?

0general

two fill taps a and b can separately fill a cistern in 45 and 40 minutes respectively . they started to fill a cistern together but tap a is turned off after few minutes and tap b fills the rest part of cistern in 23 minutes . after how many minutes , was tap a turned - off ?

1physics

find the compound interest on $ 1200 for 4 years at 20 % p . a . if ci is component yearly ?

2gain

in a company 10 % of male staff are same in number as 1 / 4 th of the female staff . what is the ratio of male staff to female staff

5other