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

Problem stringlengths 5 967	category class label 6 classes
dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 8 is the same as dividing by what number ?	0general
there are 84 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 10 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ?	0general
a positive integer , which when added to 1000 , gives a sum which is greater than when it is multiplied by 1000 . this positive integer is	0general
the average of 11 numbers is 22 . average of the first 6 of them is 19 and that of the last 6 is 27 . find the 6 th number ?	0general
10 men , working 6 hours a day can complete a work in 18 days . how many hours a day must 15 men work to complete the same work in 12 days ?	1physics
15 men can complete a piece of work in 30 days . in how many days can 10 men complete that piece of work ?	1physics
6 bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 10 and 12 seconds respectively . in 30 minutes , how many times do they toll together ?	1physics
the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theboundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?	1physics
a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 200 , what is the fewest number of $ 4 frisbees that could have been sold ?	0general
when average age of 24 members are 0 , how many members greater than 0 ?	0general
a shopkeeper sold an article at $ 100 with 15 % profit . then find its cost price ?	2gain
marcella has 26 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ?	0general
eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 4 hours ?	1physics
how many different ways can 2 students be seated in a row of 8 desks , so that there is always at least one empty desk between the students ?	4probability
the probability that event a occurs is 0.4 , and the probability that event b occurs is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b and event b will occur ?	4probability
60 is increased by 50 % . find the final number .	2gain
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 30 % 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
a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price q of the machine ?	2gain
what is the 28 th digit to the right of the decimal point in the decimal form of 5 / 11 ?	0general
a large box contains 16 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?	0general
the sum of 4 consecutive even numbers is 52 , find the third number ?	1physics
a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 99 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ?	3geometry
the ratio between the presents of the a and b is 6 : 7 . if b is 4 years older than a , what will be the ratio of the ages of a and b after 4 years ?	5other
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 8000 , the number of valid votes that the other candidate got , was :	2gain
a certain city with a population of 72,000 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
joe drives 420 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?	1physics
in a caravan , in addition to 60 hens , there are 35 goats and 6 camels with some keepers . if the total number of feet be 193 more than the number of heads in the caravan , the number of keepers is	0general
100 liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 10 liters of water were added to the solution , what percent of the solution is jasmine ?	2gain
a box contain red , blue and green colored balls . the number of red balls is 80 and the number of blue balls is 60 . the number of green balls subtracted from the number of red balls is the same as the number of green balls added with the number of blue balls . then the number of green balls is ?	0general
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 25 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of	0general
a car traveled 75 % of the way from town a to town b at an average speed of 80 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 40 miles per hour . what is s ?	1physics
in a division , divident is 725 , divisior is 36 and quotient is 20 . find the remainder .	0general
a number is selected at random from the first 30 natural numbers . what is the probability that the number is a multiple of either 4 or 15 ?	4probability
a car gets 28 miles to the gallon . if it is modified to use a solar panel , it will use only 80 percent as much fuel as it does now . if the fuel tank holds 15 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?	1physics
how many of the positive factors of 63 , 84 and how many common factors are there in numbers ?	5other
a cistern 10 m long and 8 m wide contains water up to a depth of 1 m 50 cm . the total area of the wet surface is :	1physics
jim and cara begin running at the same time and they start at the same place on a straight path . jim runs at 6 miles per hour , and cara runs at 5 miles per hour . after 30 minutes , jim stops to stretch . if it takes jim 18 minutes to stretch and cara continues to run during this time , how many minutes will it take jim to catch up to cara ?	1physics
what is the value of 4 ^ 4 + 4 ^ 6 ?	0general
if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers , how much will it cost to buy 35000 sheets of xerox paper ?	2gain
a rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?	3geometry
in a public show 50 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?	2gain
how many even number in the range between 10 to 100 inclusive are not divisible by 3	0general
a and b are partners in a business . a contributes 1 / 4 of the capital for 15 months and b received 2 / 3 of the profit . for how long b ’ s money was used ?	2gain
a man buys rs . 52 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :	2gain
at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 4 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 32 liters of fuchsia to change it to mauve paint ?	0general
if 5 / w + 5 / x = 5 / y and wx = y , then the average ( arithmetic mean ) of w and x is	0general
on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price e per glass on the second day ?	0general
jerry went to a shop and bought things worth rs . 45 , 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
in an examination , 25 % of total students failed in hindi , 48 % failed in english and 27 % in both . the percentage of these who passed in both the subjects is :	0general
if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 2 other contributions made before john ' s , what is the size of his donation ?	0general
if 20 % of a number = 100 , then 120 % of that number will be ?	2gain
in what ratio should a variety of rice costing rs . 20 per kg be mixed with another variety of rice costing rs . 31.50 per kg to obtain a mixture costing rs . 23.75 per kg ?	5other
n and m are each 3 - digit integers . each of the numbers 2 , 34 , 6 , 7 , and 8 is a digit of either n or m . what is the smallest possible positive difference between n and m ?	0general
if three painters can complete three rooms in two hours , how many hours 5 painters would it take to do 20 rooms ?	1physics
if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a fifth circle ?	3geometry
worker a takes 5 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?	1physics
every day , the value of a stock rises by exactly two dollars in the morning , and then falls by exactly one dollar in the afternoon . if the stock ' s value at the start of the first day is $ 100 , on what day will the stock ' s value first reach $ 200 ?	1physics
how many pieces of 75 cm can be cut from a rope 52.5 meters long ?	1physics
bruce purchased 8 kg of grapes at the rate of 70 per kg and 10 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
for a certain exam , a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean . what was the mean score for the exam ?	0general
rebecca ' s annual income is $ 20 , and jimmy ' s annual income is $ 10 , . by how much must rebecca ' s annual income increase so that it constitutes 55 % of rebecca and jimmy ' s combined income ?	0general
162 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?	2gain
if x , y , and z are positive integers , and 4 x = 5 y = 6 z , then the least possible value of x + y + z is	0general
what is the remainder when 3 ^ 30 is divided by 5 ?	0general
if two painters can complete four rooms in two hours , how many painters would it take to do 24 rooms in 8 hours ?	1physics
a tank is filled by 3 pipes with uniform flow . the first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone . the 2 nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe . the time required by first pipe is	1physics
a train 210 m in length crosses a telegraph post in 13 seconds . the speed of the train is ?	1physics
a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 75 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480	2gain
alex takes a loan of $ 5,000 to buy a used truck at the rate of 2 % simple interest . calculate the annual interest to be paid for the loan amount .	2gain
during the first two weeks of january , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ?	0general
tom , working alone , can paint a room in 20 hours . peter and john , working independently , can paint the same room in 10 hours and 5 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?	1physics
a van takes 5 hours to cover a distance of 450 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?	1physics
what is the compound interest paid on a sum of rs . 4500 for the period of 2 years at 10 % per annum .	2gain
at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 145 male associates , how many female managers are there ?	0general
if 10 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?	1physics
on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 5 cups of tea . last week mo drank a total of 22 cups of tea and hot chocolate together . if during that week mo drank 8 more tea cups than hot chocolate cups , then how many rainy days were there last week ?	0general
two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route . after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston . car a reaches new york 10 minutes after the two cars have met and car b reaches boston 90 minutes after they have met . how long did car a take to cover the distance between boston and new york ?	1physics
70 % of a number is added to 120 , the result is the same number . find the number ?	2gain
two spherical balls lie on the ground touching . if one of the balls has a radius of 4 cm , and the point of contact is 6 cm above the ground , what is the radius of the other ball ?	1physics
1370 , 1320 , 1070 , - 180 ?	0general
mary and mike enter into a partnership by investing $ 650 and $ 350 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 600 more than mike did , what was the profit made by their business in that year ?	0general
a train 150 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .	1physics
a , b and c start a business each investing 20,000 . after 5 months a withdrew 10000 , b withdrew 15000 and c invests 5000 more . at the end of the year , a total profit of 58000 was recorded . find the share of b .	2gain
the area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm . what is the perimeter of the square ?	3geometry
in a college , the ratio of the number of boys to girls is 8 : 4 . if there are 200 girls , the total number of students in the college is	5other
a certain bag contains 60 balls — 22 white , 18 green , 5 yellow , 6 red , and 9 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?	5other
a and b start a business , with a investing the total capital of rs . 50000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 1500 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?	2gain
on a certain date , pat invested $ 6000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 24000 , in how many years total will the total value of the investment plus interest increase to $ 48000 ?	0general
equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 6 full and other jar 1 / 5 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ?	0general
abel can complete a work in 10 days , ben in 14 days and carla in 15 days . all of them began the work together , but abel had to leave after 2 days and ben 3 days before the completion of the work . how long did the work last ?	1physics
what is the smallest positive integer that can be multiplied by 432 to make it a perfect square ?	3geometry
the price of lunch for 14 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ?	0general
the difference between the place values of two sevens in the numeral 69758472 is	0general
in a bag containing 3 balls , a white ball was placed and then 1 ball was taken out at random . what is the probability that the extracted ball would turnon to be white , if all possible hypothesis concerning thecolor of theballs that initiallyin the bag were equally possible ?	4probability
1000 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?	1physics
a meeting has to be conducted with 3 managers . find the number of ways in which the managers be selected from among 6 managers , if 2 managers will not attend the meeting together ?	4probability
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 12 % , then the cost price of the article is ?	2gain
the total marks obtained by a student in mathematics and physics is 90 and his score in chemistry is 30 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .	0general
if x is less than y by 20 % then y exceed x by :	0general
a picnic attracts 200 persons . there are 20 more men than women , and 20 more adults than children . how many men are at this picnic ?	0general

dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 8 is the same as dividing by what number ?

0general

there are 84 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 10 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ?

0general

a positive integer , which when added to 1000 , gives a sum which is greater than when it is multiplied by 1000 . this positive integer is

0general

the average of 11 numbers is 22 . average of the first 6 of them is 19 and that of the last 6 is 27 . find the 6 th number ?

0general

10 men , working 6 hours a day can complete a work in 18 days . how many hours a day must 15 men work to complete the same work in 12 days ?

1physics

15 men can complete a piece of work in 30 days . in how many days can 10 men complete that piece of work ?

1physics

6 bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 10 and 12 seconds respectively . in 30 minutes , how many times do they toll together ?

1physics

the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theboundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?

1physics

a sporting goods store sold 64 frisbees in one week , some for $ 3 and the rest for $ 4 each . if receipts from frisbee sales for the week totaled $ 200 , what is the fewest number of $ 4 frisbees that could have been sold ?

0general

when average age of 24 members are 0 , how many members greater than 0 ?

0general

a shopkeeper sold an article at $ 100 with 15 % profit . then find its cost price ?

2gain

marcella has 26 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ?

0general

eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 4 hours ?

1physics

how many different ways can 2 students be seated in a row of 8 desks , so that there is always at least one empty desk between the students ?

4probability

the probability that event a occurs is 0.4 , and the probability that event b occurs is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b and event b will occur ?

4probability

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

2gain

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 30 % 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

a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price q of the machine ?

2gain

what is the 28 th digit to the right of the decimal point in the decimal form of 5 / 11 ?

0general

a large box contains 16 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?

0general

the sum of 4 consecutive even numbers is 52 , find the third number ?

1physics

a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 99 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ?

3geometry

the ratio between the presents of the a and b is 6 : 7 . if b is 4 years older than a , what will be the ratio of the ages of a and b after 4 years ?

5other

in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 8000 , the number of valid votes that the other candidate got , was :

2gain

a certain city with a population of 72,000 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

joe drives 420 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?

1physics

in a caravan , in addition to 60 hens , there are 35 goats and 6 camels with some keepers . if the total number of feet be 193 more than the number of heads in the caravan , the number of keepers is

0general

100 liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 10 liters of water were added to the solution , what percent of the solution is jasmine ?

2gain

a box contain red , blue and green colored balls . the number of red balls is 80 and the number of blue balls is 60 . the number of green balls subtracted from the number of red balls is the same as the number of green balls added with the number of blue balls . then the number of green balls is ?

0general

two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 25 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of

0general

a car traveled 75 % of the way from town a to town b at an average speed of 80 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 40 miles per hour . what is s ?

1physics

in a division , divident is 725 , divisior is 36 and quotient is 20 . find the remainder .

0general

a number is selected at random from the first 30 natural numbers . what is the probability that the number is a multiple of either 4 or 15 ?

4probability

a car gets 28 miles to the gallon . if it is modified to use a solar panel , it will use only 80 percent as much fuel as it does now . if the fuel tank holds 15 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?

1physics

how many of the positive factors of 63 , 84 and how many common factors are there in numbers ?

5other

a cistern 10 m long and 8 m wide contains water up to a depth of 1 m 50 cm . the total area of the wet surface is :

1physics

jim and cara begin running at the same time and they start at the same place on a straight path . jim runs at 6 miles per hour , and cara runs at 5 miles per hour . after 30 minutes , jim stops to stretch . if it takes jim 18 minutes to stretch and cara continues to run during this time , how many minutes will it take jim to catch up to cara ?

1physics

what is the value of 4 ^ 4 + 4 ^ 6 ?

0general

if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers , how much will it cost to buy 35000 sheets of xerox paper ?

2gain

a rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 12 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?

3geometry

in a public show 50 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ?

2gain

how many even number in the range between 10 to 100 inclusive are not divisible by 3

0general

a and b are partners in a business . a contributes 1 / 4 of the capital for 15 months and b received 2 / 3 of the profit . for how long b ’ s money was used ?

2gain

a man buys rs . 52 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :

2gain

at deluxe paint store , fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint . mauve paint is made by mixing 4 parts of red paint with 5 parts blue paint . how many liters of blue paint must be added to 32 liters of fuchsia to change it to mauve paint ?

0general

if 5 / w + 5 / x = 5 / y and wx = y , then the average ( arithmetic mean ) of w and x is

0general

on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day , what was the price e per glass on the second day ?

0general

jerry went to a shop and bought things worth rs . 45 , 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

in an examination , 25 % of total students failed in hindi , 48 % failed in english and 27 % in both . the percentage of these who passed in both the subjects is :

0general

if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 2 other contributions made before john ' s , what is the size of his donation ?

0general

if 20 % of a number = 100 , then 120 % of that number will be ?

2gain

in what ratio should a variety of rice costing rs . 20 per kg be mixed with another variety of rice costing rs . 31.50 per kg to obtain a mixture costing rs . 23.75 per kg ?

5other

n and m are each 3 - digit integers . each of the numbers 2 , 34 , 6 , 7 , and 8 is a digit of either n or m . what is the smallest possible positive difference between n and m ?

0general

if three painters can complete three rooms in two hours , how many hours 5 painters would it take to do 20 rooms ?

1physics

if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a fifth circle ?

3geometry

worker a takes 5 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?

1physics

every day , the value of a stock rises by exactly two dollars in the morning , and then falls by exactly one dollar in the afternoon . if the stock ' s value at the start of the first day is $ 100 , on what day will the stock ' s value first reach $ 200 ?

1physics

how many pieces of 75 cm can be cut from a rope 52.5 meters long ?

1physics

bruce purchased 8 kg of grapes at the rate of 70 per kg and 10 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

for a certain exam , a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean . what was the mean score for the exam ?

0general

rebecca ' s annual income is $ 20 , and jimmy ' s annual income is $ 10 , . by how much must rebecca ' s annual income increase so that it constitutes 55 % of rebecca and jimmy ' s combined income ?

0general

162 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?

2gain

if x , y , and z are positive integers , and 4 x = 5 y = 6 z , then the least possible value of x + y + z is

0general

what is the remainder when 3 ^ 30 is divided by 5 ?

0general

if two painters can complete four rooms in two hours , how many painters would it take to do 24 rooms in 8 hours ?

1physics

a tank is filled by 3 pipes with uniform flow . the first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone . the 2 nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe . the time required by first pipe is

1physics

a train 210 m in length crosses a telegraph post in 13 seconds . the speed of the train is ?

1physics

a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 75 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480

2gain

alex takes a loan of $ 5,000 to buy a used truck at the rate of 2 % simple interest . calculate the annual interest to be paid for the loan amount .

2gain

during the first two weeks of january , the total rainfall in springdale was 40 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ?

0general

tom , working alone , can paint a room in 20 hours . peter and john , working independently , can paint the same room in 10 hours and 5 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?

1physics

a van takes 5 hours to cover a distance of 450 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?

1physics

what is the compound interest paid on a sum of rs . 4500 for the period of 2 years at 10 % per annum .

2gain

at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 145 male associates , how many female managers are there ?

0general

if 10 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?

1physics

on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 5 cups of tea . last week mo drank a total of 22 cups of tea and hot chocolate together . if during that week mo drank 8 more tea cups than hot chocolate cups , then how many rainy days were there last week ?

0general

two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route . after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston . car a reaches new york 10 minutes after the two cars have met and car b reaches boston 90 minutes after they have met . how long did car a take to cover the distance between boston and new york ?

1physics

70 % of a number is added to 120 , the result is the same number . find the number ?

2gain

two spherical balls lie on the ground touching . if one of the balls has a radius of 4 cm , and the point of contact is 6 cm above the ground , what is the radius of the other ball ?

1physics

1370 , 1320 , 1070 , - 180 ?

0general

mary and mike enter into a partnership by investing $ 650 and $ 350 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 600 more than mike did , what was the profit made by their business in that year ?

0general

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

1physics

a , b and c start a business each investing 20,000 . after 5 months a withdrew 10000 , b withdrew 15000 and c invests 5000 more . at the end of the year , a total profit of 58000 was recorded . find the share of b .

2gain

the area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm . what is the perimeter of the square ?

3geometry

in a college , the ratio of the number of boys to girls is 8 : 4 . if there are 200 girls , the total number of students in the college is

5other

a certain bag contains 60 balls — 22 white , 18 green , 5 yellow , 6 red , and 9 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?

5other

a and b start a business , with a investing the total capital of rs . 50000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 1500 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?

2gain

on a certain date , pat invested $ 6000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 24000 , in how many years total will the total value of the investment plus interest increase to $ 48000 ?

0general

equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 6 full and other jar 1 / 5 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ?

0general

abel can complete a work in 10 days , ben in 14 days and carla in 15 days . all of them began the work together , but abel had to leave after 2 days and ben 3 days before the completion of the work . how long did the work last ?

1physics

what is the smallest positive integer that can be multiplied by 432 to make it a perfect square ?

3geometry

the price of lunch for 14 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ?

0general

the difference between the place values of two sevens in the numeral 69758472 is

0general

in a bag containing 3 balls , a white ball was placed and then 1 ball was taken out at random . what is the probability that the extracted ball would turnon to be white , if all possible hypothesis concerning thecolor of theballs that initiallyin the bag were equally possible ?

4probability

1000 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?

1physics

a meeting has to be conducted with 3 managers . find the number of ways in which the managers be selected from among 6 managers , if 2 managers will not attend the meeting together ?

4probability

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 12 % , then the cost price of the article is ?

2gain

the total marks obtained by a student in mathematics and physics is 90 and his score in chemistry is 30 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .

0general

if x is less than y by 20 % then y exceed x by :

0general

a picnic attracts 200 persons . there are 20 more men than women , and 20 more adults than children . how many men are at this picnic ?

0general