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

Problem stringlengths 5 967	category class label 6 classes
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 33 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ?	0general
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 7800 ?	0general
a train 200 m long is running with a speed of 68 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?	1physics
evaluate : 40 - 12 ÷ 6 × 2 =	0general
in town x , 96 percent of the population are employed , and 24 percent of the population are employed males . what percent of the employed people in town x are females ?	2gain
a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 4 of th area of the garden . what is the radius of the circular garden ?	3geometry
in an entrance exam , 3 marks is awarded for every correct answer and ( - 1 ) for every wrong answer . if a student gets 38 marks after attempting all questions , find the number of questions answered correctly if the total questions were 70 .	0general
a meal cost $ 35.50 adn there was no tax . if the tip was more than 5 pc but less than 8 pc of the price , then the total amount paid should be :	0general
r is the set of positive odd integers less than 10 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?	1physics
in a certain kindergarten , every child has got either a dog or a cat or both . 18 children have got dogs only and 6 children have got both dogs and cats . if there are 30 children in the kindergarten , how many of them have cats ?	5other
if 45 % of z is 90 % of y and y is 75 % of x , what percent of x is z ?	2gain
for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - fifth of his earnings to charity . if the worker ' s charitable contributions totaled one - seventh of his earnings for the entire year , what is the value of n ?	0general
a lady builds 7 cm length , 18 cm width , and 3 cm height box using 9 cubic cm cubes . what is the minimum number of cubes required to build the box ?	3geometry
solve the quickfire maths brain teaser â ˆ š 49 % = ?	2gain
the compound ratio of 1 : 4 , 3 : 2 and 4 : 5 ?	5other
if the operation € is defined for all x and y by the equation x € y = 2 * x * y , then 6 € ( 4 € 5 ) =	0general
a is a working partner and b is a sleeping partner in a business . a puts in 50,000 and b 60,000 . a gets 12.5 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of a in profit of 8800 .	2gain
the number x of cars sold each week varies with the price y in dollars according to the equation x = 800000 – 50 y . what would be the total weekly revenue , in dollars , from the sale of cars priced at $ 12000 ?	0general
running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 20 such machines produce in 4 minutes ?	2gain
the average height of 20 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 111 cm . what was the actual average height of the students in the class ?	0general
john was thrice as old as tom 6 years ago . john will be 2 times as old as tom in 4 years . how old is tom today ?	0general
mary and mike enter into a partnership by investing $ 700 and $ 300 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 $ 800 more than mike did , what was the profit made by their business in that year ?	0general
in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds w in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?	0general
jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much t does she have in her account after two years ?	2gain
in an intercollegiate competition that lasted for 3 days , 115 students took part on day 1 , 80 on day 2 and 100 on day 3 . if 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days , how many students took part only on day 3 ?	1physics
a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 401 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ?	3geometry
if 5 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ?	0general
a retailer buys 120 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?	2gain
there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 68 %	2gain
on dividing number by 56 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ?	0general
a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.60 , what total number of pens and pencils did the customer purchase ?	5other
given that g and h are events such that q ( g ) = 0.30 q ( h ) = 0.9 q ( gnh ) = 0.9 find q ( g \| h ) and q ( g \| h )	0general
6000 − ( 105 ÷ 21.0 ) = ?	0general
a boats man can row in still water at speed of 7 km / hr . it takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km / hr . what is the distance between the two destinations ?	1physics
if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 3 m + n ?	0general
the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 24 . what is the rate of interest per annum ?	2gain
there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 76 . how tall is the fourth person ?	0general
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 65 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )	0general
how many prime numbers between 1 and 100 are factors of 7150 ?	5other
in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.8 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?	0general
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 88 and rs . 80 respectively . the sum is :	2gain
machines x and y produce bottles at their respective constant rates . machine x produces k bottles in 3 hours and machine y produces k bottles in 2 hours . how many hours does it take machines x and y , working simultaneously , to produce 12 k bottles ?	1physics
a family pays $ 800 per year for an insurance plan that pays 65 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total .	0general
by how much is 3 - fifth of 390 greater than 4 - seventh of 210 ?	0general
if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 51 then sum is	2gain
a box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?	3geometry
if x is 30 percent more than y and y is 50 percent less than z , then x is what percent of z ?	0general
in an examination 35 % of the students passed and 481 failed . how many students appeared for the examination ?	2gain
a certain number of men can do a work in 20 days . if there were 4 men more it could be finished in 5 days less . how many men are there ?	1physics
a farmer spent $ 38 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?	2gain
10 men and 15 women together can complete a work in 7 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?	1physics
a can do a work in 60 days . he works for 15 days and later b alone completes the work in 30 days . in what time will they together complete the work ?	1physics
jerry and beth each drove from smallville to crown city by different routes . jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes . beth ' s route was 5 miles longer , and it took her 20 minutes more than jerry to complete the trip . how many miles per hour was beth ' s average speed on this trip ?	1physics
a can do a work in 15 days and b in 20 days . if they work on it together for 3 days , then the fraction of the work that is left is	1physics
a certain company had a total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ?	0general
machine a can finish a job in 4 hours , machine в can finish the job in 12 hours , and machine с can finish the job in 8 hours . how many hours will it take for a , b , and с together to finish the job ?	1physics
the number 130 can be written as the sum of the squares of 2 different positive integers . what is the sum of these 2 integers ?	3geometry
if 10000 microns = 1 decimeter , and 1000000000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?	0general
pipe a can fill a tank in 24 minutes . pipe b can fill the same tank 6 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?	1physics
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 24 , what is the value of r - p ?	0general
the ratio of three numbers is 6 : 7 : 5 and their sum is 108 . the second number of the three numbers is ?	5other
a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room ?	0general
the average of first five prime numbers greater than 61 is ?	0general
a man complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km	1physics
calculate how many seconds it will take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 9 , 10 , 14 and 18 seconds . ?	2gain
the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet ?	3geometry
if the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is ?	1physics
if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2016 ) = ?	0general
a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 12 more blue balls than white balls , and six times as many red balls as blue balls , how many white balls does the box has ?	0general
75 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?	2gain
the radius of a sphere is increased by 10 % . the surface area increases by ?	3geometry
there are 408 boys and 264 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed .	0general
the speed at which a woman can row a boat in still water is 120 kmph . if she rows downstream , where the speed of current is 60 kmph , what time will he take to cover 500 metres ?	1physics
a company that ships boxes to a total of 15 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter )	0general
at a small company , 61 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?	2gain
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 39 min , then the slower pipe alone will be able to fill the tank in ?	1physics
in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 252 runs ?	2gain
at what price must an article costing rs . 85.5 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?	2gain
we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 12 , and the difference between the total number of strawberries and the total number of blueberries would increase by 76 . each blue box contains how many blueberries ?	0general
15 men take 20 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?	1physics
an association of mathematics teachers has 1,500 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 36 percent of the votes cast ?	2gain
how many multiples of 10 are there between 81 and 358 ?	0general
in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . states b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ?	0general
a train leaves mumabai at 9 am at a speed of 45 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 90 kmph . when and at what distance from mumbai do the two trains meet ?	1physics
in 1990 the budgets for projects q and v were $ 660,000 and $ 860,000 , respectively . in each of the next 10 years , the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000 . in which year was the budget for q equal to the budget for v ?	0general
a train 100 m long crosses a platform 200 m long in 15 sec ; find the speed of the train ?	1physics
the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 20,000 each . what is the average salary of the remaining employees ?	0general
if 0.10 of a number is equal to 0.070 of another number , the ratio of the numbers is :	5other
a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 600 . how much did he have with him in the beginning ?	0general
a fruit drink is made of orange , watermelon , and grape juice , where 15 percent of the drink is orange juice and 60 percent is watermelon juice . if the drink is made with 30 ounces of grape juice , how many ounces is the drink total ?	0general
sam invested rs . 3000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?	2gain
the parameter of a square is equal to the perimeter of a rectangle of length 7.5 cm and breadth 6.5 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ?	3geometry
a space shuttle orbits the earth at about 12 kilometers per second . this speed is equal to how many kilometers per hour ?	1physics
a collection of books went on sale , and 2 / 3 of them were sold for $ 1.50 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ?	0general
if 213 × 16 = 3408 , then 0.16 × 2.13 is equal to :	0general
what is the smallest positive integer x such that 80 - x is the cube of a positive integer	0general
the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 10 , then their difference is :	0general
if two dice are thrown together , the probability of getting a square number on both the dice is	5other
what is the area of a square field whose diagonal of length 28 m ?	3geometry
in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 13.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?	0general

the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 33 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ?

0general

if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 7800 ?

0general

a train 200 m long is running with a speed of 68 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?

1physics

evaluate : 40 - 12 ÷ 6 × 2 =

0general

in town x , 96 percent of the population are employed , and 24 percent of the population are employed males . what percent of the employed people in town x are females ?

2gain

a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 4 of th area of the garden . what is the radius of the circular garden ?

3geometry

in an entrance exam , 3 marks is awarded for every correct answer and ( - 1 ) for every wrong answer . if a student gets 38 marks after attempting all questions , find the number of questions answered correctly if the total questions were 70 .

0general

a meal cost $ 35.50 adn there was no tax . if the tip was more than 5 pc but less than 8 pc of the price , then the total amount paid should be :

0general

r is the set of positive odd integers less than 10 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?

1physics

in a certain kindergarten , every child has got either a dog or a cat or both . 18 children have got dogs only and 6 children have got both dogs and cats . if there are 30 children in the kindergarten , how many of them have cats ?

5other

if 45 % of z is 90 % of y and y is 75 % of x , what percent of x is z ?

2gain

for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - fifth of his earnings to charity . if the worker ' s charitable contributions totaled one - seventh of his earnings for the entire year , what is the value of n ?

0general

a lady builds 7 cm length , 18 cm width , and 3 cm height box using 9 cubic cm cubes . what is the minimum number of cubes required to build the box ?

3geometry

solve the quickfire maths brain teaser â ˆ š 49 % = ?

2gain

the compound ratio of 1 : 4 , 3 : 2 and 4 : 5 ?

5other

if the operation € is defined for all x and y by the equation x € y = 2 * x * y , then 6 € ( 4 € 5 ) =

0general

a is a working partner and b is a sleeping partner in a business . a puts in 50,000 and b 60,000 . a gets 12.5 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of a in profit of 8800 .

2gain

the number x of cars sold each week varies with the price y in dollars according to the equation x = 800000 – 50 y . what would be the total weekly revenue , in dollars , from the sale of cars priced at $ 12000 ?

0general

running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 20 such machines produce in 4 minutes ?

2gain

the average height of 20 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 111 cm . what was the actual average height of the students in the class ?

0general

john was thrice as old as tom 6 years ago . john will be 2 times as old as tom in 4 years . how old is tom today ?

0general

mary and mike enter into a partnership by investing $ 700 and $ 300 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 $ 800 more than mike did , what was the profit made by their business in that year ?

0general

in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds w in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?

0general

jill invests $ 10000 in an account that pays an annual rate of 3.96 % , compounding semi - annually . approximately how much t does she have in her account after two years ?

2gain

in an intercollegiate competition that lasted for 3 days , 115 students took part on day 1 , 80 on day 2 and 100 on day 3 . if 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days , how many students took part only on day 3 ?

1physics

a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 401 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ?

3geometry

if 5 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ?

0general

a retailer buys 120 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?

2gain

there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 68 %

2gain

on dividing number by 56 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ?

0general

a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.60 , what total number of pens and pencils did the customer purchase ?

5other

given that g and h are events such that q ( g ) = 0.30 q ( h ) = 0.9 q ( gnh ) = 0.9 find q ( g | h ) and q ( g | h )

0general

6000 − ( 105 ÷ 21.0 ) = ?

0general

a boats man can row in still water at speed of 7 km / hr . it takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km / hr . what is the distance between the two destinations ?

1physics

if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 3 m + n ?

0general

the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 24 . what is the rate of interest per annum ?

2gain

there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 76 . how tall is the fourth person ?

0general

a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 65 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )

0general

how many prime numbers between 1 and 100 are factors of 7150 ?

5other

in a fuel station the service costs $ 2.05 per car , every liter of fuel costs 0.8 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?

0general

the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 88 and rs . 80 respectively . the sum is :

2gain

machines x and y produce bottles at their respective constant rates . machine x produces k bottles in 3 hours and machine y produces k bottles in 2 hours . how many hours does it take machines x and y , working simultaneously , to produce 12 k bottles ?

1physics

a family pays $ 800 per year for an insurance plan that pays 65 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total .

0general

by how much is 3 - fifth of 390 greater than 4 - seventh of 210 ?

0general

if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 51 then sum is

2gain

a box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?

3geometry

if x is 30 percent more than y and y is 50 percent less than z , then x is what percent of z ?

0general

in an examination 35 % of the students passed and 481 failed . how many students appeared for the examination ?

2gain

a certain number of men can do a work in 20 days . if there were 4 men more it could be finished in 5 days less . how many men are there ?

1physics

a farmer spent $ 38 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?

2gain

10 men and 15 women together can complete a work in 7 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?

1physics

a can do a work in 60 days . he works for 15 days and later b alone completes the work in 30 days . in what time will they together complete the work ?

1physics

jerry and beth each drove from smallville to crown city by different routes . jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes . beth ' s route was 5 miles longer , and it took her 20 minutes more than jerry to complete the trip . how many miles per hour was beth ' s average speed on this trip ?

1physics

a can do a work in 15 days and b in 20 days . if they work on it together for 3 days , then the fraction of the work that is left is

1physics

a certain company had a total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ?

0general

machine a can finish a job in 4 hours , machine в can finish the job in 12 hours , and machine с can finish the job in 8 hours . how many hours will it take for a , b , and с together to finish the job ?

1physics

the number 130 can be written as the sum of the squares of 2 different positive integers . what is the sum of these 2 integers ?

3geometry

if 10000 microns = 1 decimeter , and 1000000000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?

0general

pipe a can fill a tank in 24 minutes . pipe b can fill the same tank 6 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?

1physics

if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 24 , what is the value of r - p ?

0general

the ratio of three numbers is 6 : 7 : 5 and their sum is 108 . the second number of the three numbers is ?

5other

a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room ?

0general

the average of first five prime numbers greater than 61 is ?

0general

a man complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km

1physics

calculate how many seconds it will take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 9 , 10 , 14 and 18 seconds . ?

2gain

the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet ?

3geometry

if the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is ?

1physics

if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2016 ) = ?

0general

a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 12 more blue balls than white balls , and six times as many red balls as blue balls , how many white balls does the box has ?

0general

75 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?

2gain

the radius of a sphere is increased by 10 % . the surface area increases by ?

3geometry

there are 408 boys and 264 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed .

0general

the speed at which a woman can row a boat in still water is 120 kmph . if she rows downstream , where the speed of current is 60 kmph , what time will he take to cover 500 metres ?

1physics

a company that ships boxes to a total of 15 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter )

0general

at a small company , 61 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?

2gain

one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 39 min , then the slower pipe alone will be able to fill the tank in ?

1physics

in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 252 runs ?

2gain

at what price must an article costing rs . 85.5 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?

2gain

we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 12 , and the difference between the total number of strawberries and the total number of blueberries would increase by 76 . each blue box contains how many blueberries ?

0general

15 men take 20 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?

1physics

an association of mathematics teachers has 1,500 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 36 percent of the votes cast ?

2gain

how many multiples of 10 are there between 81 and 358 ?

0general

in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . states b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ?

0general

a train leaves mumabai at 9 am at a speed of 45 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 90 kmph . when and at what distance from mumbai do the two trains meet ?

1physics

in 1990 the budgets for projects q and v were $ 660,000 and $ 860,000 , respectively . in each of the next 10 years , the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000 . in which year was the budget for q equal to the budget for v ?

0general

a train 100 m long crosses a platform 200 m long in 15 sec ; find the speed of the train ?

1physics

the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 20,000 each . what is the average salary of the remaining employees ?

0general

if 0.10 of a number is equal to 0.070 of another number , the ratio of the numbers is :

5other

a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 600 . how much did he have with him in the beginning ?

0general

a fruit drink is made of orange , watermelon , and grape juice , where 15 percent of the drink is orange juice and 60 percent is watermelon juice . if the drink is made with 30 ounces of grape juice , how many ounces is the drink total ?

0general

sam invested rs . 3000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ?

2gain

the parameter of a square is equal to the perimeter of a rectangle of length 7.5 cm and breadth 6.5 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ?

3geometry

a space shuttle orbits the earth at about 12 kilometers per second . this speed is equal to how many kilometers per hour ?

1physics

a collection of books went on sale , and 2 / 3 of them were sold for $ 1.50 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ?

0general

if 213 × 16 = 3408 , then 0.16 × 2.13 is equal to :

0general

what is the smallest positive integer x such that 80 - x is the cube of a positive integer

0general

the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 10 , then their difference is :

0general

if two dice are thrown together , the probability of getting a square number on both the dice is

5other

what is the area of a square field whose diagonal of length 28 m ?

3geometry

in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 13.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?

0general