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

Problem stringlengths 5 967	category class label 6 classes
a train 250 m long is running at a speed of 27 km / hr . in what time will it pass a bridge 200 m long ?	1physics
how many different ways can 2 students be seated in a row of 6 desks , so that there is always at least one empty desk between the students ?	4probability
if 75 percent of a class answered the first question on a certain test correctly , 35 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?	5other
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 30 kg of fresh grapes ?	2gain
what least number must be added to 1056 , so that the sum is completely divisible by 23 ?	0general
4 ! / ( 4 - 3 ) ! = ?	0general
natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 1.5 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?	1physics
5358 x 61 = ?	0general
if n = 4 ^ 11 – 4 , what is the units digit of n ?	0general
company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 11 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?	0general
after decreasing 24 % in the price of an article costs rs . 608 . find the actual cost of an article ?	2gain
in a zoo there are 30 penguins , 22 zebras , and 8 tigers with some zookeepers . if the total number of heads are 132 less than the number of feet , the number of zookeepers is	0general
what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out ? ( two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal )	0general
what least number must be added to 1049 , so that the sum is completely divisible by 25 ?	0general
man can row upstream at 25 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?	1physics
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 10 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ?	0general
when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 213.28 , what is value of j ?	0general
the diagonals of a rhombus are 30 cm and 12 cm . find its area ?	3geometry
if the cost price of 50 articles is equal to the selling price of 30 articles , then the gain or loss percent is ?	2gain
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent w of the distribution is less than m + d ?	0general
a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph , find his average speed for the total journey ?	0general
nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 1.5 screws and 4.5 nails ?	0general
a camera lens filter kit containing 5 filters sells for $ 52.50 . if the filters are purchased individually , 2 of them are priced at $ 6.45 each , 2 at $ 11.05 each , 1 at $ 15.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?	0general
the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 2 students ?	0general
if the sides of a cube are in the ratio 4 : 3 . what is the ratio of their diagonals ?	3geometry
if 638521 is to be divisible by 5 , what is the least whole number that should be added to ?	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 37 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ?	0general
two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ?	3geometry
the average age of a class is 15.8 years . the average age of boys in the class is 16.4 years while that of girls is 15.4 years . what is the ratio of boys to girls in the class ?	0general
subtracting 7 % of a from a is equivalent to multiplying a by how much ?	0general
a number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12	0general
a children ' s gift store sells gift certificates in denominations of $ 3 and $ 5 . the store sold ' m ' $ 3 certificates and ' n ' $ 5 certificates worth $ 93 on a saturday afternoon . if ' m ' and ' n ' are natural numbers , how many different values can ' m ' take ?	1physics
how long will a boy take to run round a square field of side 45 meters , if he runs at the rate of 9 km / hr ?	2gain
what is the greatest positive integer w such that 3 ^ w is a factor of 9 ^ 10 ?	5other
in a group of 100 people , 60 like volleyball , 50 like hockey . how many like both volleyball and hockey ?	5other
triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 8 miles per hour , what is his average rate for the entire trip in miles per minute ?	1physics
a square has a side 5 centimeters shorter than the side of a second square . the area of the larger square is four times the area of the smaller square . find the side of each square	1physics
a train 360 m long is running at a speed of 48 km / hr . in what time will it pass a bridge 140 m long ?	1physics
a train covers a distance of 100 km in 1 hour . if its speed is decreased by 30 km / hr , the time taken by the car to cover the same distance will be ?	1physics
the ratio of the present age of sandy to that of molly is 7 : 2 . sixteen years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?	0general
evaluate : 50 - 12 * 3 * 2 = ?	0general
a grocer has 400 pounds of coffee in stock , 20 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated , what percent , by weight , of the grocer ’ s stock of coffee is decaffeinated ?	2gain
the area of a parallelogram is 1764 sq m and its base is nine times size of the corresponding altitude . then the length of the base is ?	3geometry
at what rate percent per annum will a sum of money double in 8 years .	2gain
paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ?	3geometry
a shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight . what is his profit percentage ?	2gain
how many odd numbers between 10 and 900 are the squares of integers ?	3geometry
what is the value of x ^ 2 yz − xyz ^ 2 , if x = 2 , y = 1 , and z = 2 ?	0general
by selling 18 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 35 % ?	2gain
how many pieces of 0.35 meteres can be cut from a rod 12.5 meteres long	1physics
in a class , 7 students like to play basketball and 5 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ?	5other
a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ?	4probability
jerry travels 8 miles at an average speed of 40 miles per hour , stops for 12 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry ’ s average speed , in miles per hour , for this trip ?	1physics
8 men can dig a pit in 20 days . if a men work half as much again as a boy , then 4 men and 9 boys can dig a similar pit . fint the days for 15 boys can dig ?	1physics
a man invests in a 16 % stock at 128 . the interest obtained by him is	2gain
in what ratio must tea at rs . 60 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 63 per kg ?	5other
how many pounds of salt at 80 cents / lb must be mixed with 40 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?	2gain
how long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ?	1physics
if 2 cards are selected at random from the deck of 52 cards then what is the probability of one of the selected cards will be king and other will be 10 ? a deck of cards has a total of 52 cards , consisting of 4 suits ; ( spades ( black ) , hearts ( red ) , diamond ( red ) s , and clubs ( black ) ) ; and 13 cards including 1 king , 1 queen and 1 jack in each suit	4probability
a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 10 multiples of 14 , how many multiples of 7 are there in q ?	1physics
60 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 4 like all . how many people like apple ?	0general
bhanu spends 30 % of his income on petrol on scooter 20 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?	2gain
the average of the first 5 multiples of 9 is :	0general
13 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?	5other
real - estate salesman z is selling a house at a 20 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 20 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 20 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?	0general
how many integers between 100 and 160 , inclusive , can not be evenly divided by 3 nor 5 ?	0general
calculate the share of y , if rs . 690 is divided among x , y and z in the ratio 5 : 7 : 11 ?	0general
you hold some gold in a vault as an investment . over the past year the price of gold increases by 52 % . in order to keep your gold in the vault , you must pay 6 % of the total value of the gold per year . what percentage has the value of your holdings changed by over the past year .	2gain
a tank contains 9,000 gallons of a solution that is 6 percent sodium chloride by volume . if 3,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?	2gain
a sum fetched a total simple interest of rs . 750 at the rate of 6 p . c . p . a . in 5 years . what is the sum ?	2gain
robert ate 12 chocolates , nickel ate 3 chocolates . how many more chocolates did robert ate than nickel ?	0general
in what time will a train 140 meters long cross an electric pole , if its speed is 210 km / hr	1physics
there are two cars . one is 300 miles north of the other . simultaneously , the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour . how many miles apart are the cars after 5 hours ?	1physics
an investment compounds annually at an interest rate of 34.1 % what is the smallest investment period by which time the investment will more than triple in value ?	2gain
the cross - section of a water channel is a trapezium in shape . if the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross - section is 630 square meters , what is the depth of the channel ( in meters ) ?	1physics
a bicycle wheel has a diameter of 0.51 m . how many complete revolutions does it make in 1 km ?	1physics
triangle atriangle b are similar triangles with areas 1536 units square and 1734 units square respectively . the ratio of there corresponding height would be	3geometry
x can finish a work in 20 days . y can finish the same work in 16 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ?	1physics
if the average of 10 consecutive integers is 20.5 then the 10 th integer is : -	0general
sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 55 marks . how many sums did sandy get correct ?	0general
a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money m did bob receive ?	0general
last year elaine spent 10 % of her annual earnings on rent . this year she earned 15 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?	2gain
sandy is younger than molly by 8 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?	5other
when x is multiplied by 3 , the result is 4 more than the result of subtracting x from 16 . what is the value of x ?	0general
in a certain school , 25 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 36 . what is the total number of students in the school ?	0general
how many seconds will a 600 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?	1physics
a train covers a distance of 12 km in 10 minutes . if it takes 9 seconds to pass a telegraph post , then the length of the train is	1physics
the radius of a cylindrical vessel is 7 cm and height is 1 cm . find the whole surface of the cylinder ?	3geometry
machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 5600 envelopes .	1physics
if the probability of rain on any given day in chicago during the summer is 25 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ?	0general
what is the difference between the place value and face value of 4 in the numeral 46 ?	0general
in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 1,000 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 9,000 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?	0general
a person travels from p to q a speed of 30 km / hr and returns by increasing his speed by 30 % . what is his average speed for both the trips ?	0general
the sum of all the integers f such that - 26 < f < 24 is	0general
the average expenditure of a labourer for 6 months was 70 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i	0general
a student chose a number , multiplied it by 8 , then subtracted 138 from the result and got 102 . what was the number he chose ?	0general
a man has rs . 192 in the denominations of one - rupee notes , 5 - rupee notes and 10 - rupee notes . the number of notes of each denomination is equal . what is the total number of notes that he has ?	0general
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 40 percent butterfat to obtain milk that is 20 percent butterfat ?	0general
the price of lunch for 15 people was $ 211.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ?	0general
how many times digit 20 is used while writing numbers from 100 to 500 ?	0general

a train 250 m long is running at a speed of 27 km / hr . in what time will it pass a bridge 200 m long ?

1physics

how many different ways can 2 students be seated in a row of 6 desks , so that there is always at least one empty desk between the students ?

4probability

if 75 percent of a class answered the first question on a certain test correctly , 35 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?

5other

fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 30 kg of fresh grapes ?

2gain

what least number must be added to 1056 , so that the sum is completely divisible by 23 ?

0general

4 ! / ( 4 - 3 ) ! = ?

0general

natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 1.5 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?

1physics

5358 x 61 = ?

0general

if n = 4 ^ 11 – 4 , what is the units digit of n ?

0general

company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 11 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?

0general

after decreasing 24 % in the price of an article costs rs . 608 . find the actual cost of an article ?

2gain

in a zoo there are 30 penguins , 22 zebras , and 8 tigers with some zookeepers . if the total number of heads are 132 less than the number of feet , the number of zookeepers is

0general

what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out ? ( two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal )

0general

what least number must be added to 1049 , so that the sum is completely divisible by 25 ?

0general

man can row upstream at 25 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?

1physics

according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 10 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ?

0general

when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 213.28 , what is value of j ?

0general

the diagonals of a rhombus are 30 cm and 12 cm . find its area ?

3geometry

if the cost price of 50 articles is equal to the selling price of 30 articles , then the gain or loss percent is ?

2gain

a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent w of the distribution is less than m + d ?

0general

a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph , find his average speed for the total journey ?

0general

nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 1.5 screws and 4.5 nails ?

0general

a camera lens filter kit containing 5 filters sells for $ 52.50 . if the filters are purchased individually , 2 of them are priced at $ 6.45 each , 2 at $ 11.05 each , 1 at $ 15.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ?

0general

the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 2 students ?

0general

if the sides of a cube are in the ratio 4 : 3 . what is the ratio of their diagonals ?

3geometry

if 638521 is to be divisible by 5 , what is the least whole number that should be added to ?

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 37 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ?

0general

two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ?

3geometry

the average age of a class is 15.8 years . the average age of boys in the class is 16.4 years while that of girls is 15.4 years . what is the ratio of boys to girls in the class ?

0general

subtracting 7 % of a from a is equivalent to multiplying a by how much ?

0general

a number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12

0general

a children ' s gift store sells gift certificates in denominations of $ 3 and $ 5 . the store sold ' m ' $ 3 certificates and ' n ' $ 5 certificates worth $ 93 on a saturday afternoon . if ' m ' and ' n ' are natural numbers , how many different values can ' m ' take ?

1physics

how long will a boy take to run round a square field of side 45 meters , if he runs at the rate of 9 km / hr ?

2gain

what is the greatest positive integer w such that 3 ^ w is a factor of 9 ^ 10 ?

5other

in a group of 100 people , 60 like volleyball , 50 like hockey . how many like both volleyball and hockey ?

5other

triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 8 miles per hour , what is his average rate for the entire trip in miles per minute ?

1physics

a square has a side 5 centimeters shorter than the side of a second square . the area of the larger square is four times the area of the smaller square . find the side of each square

1physics

a train 360 m long is running at a speed of 48 km / hr . in what time will it pass a bridge 140 m long ?

1physics

a train covers a distance of 100 km in 1 hour . if its speed is decreased by 30 km / hr , the time taken by the car to cover the same distance will be ?

1physics

the ratio of the present age of sandy to that of molly is 7 : 2 . sixteen years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?

0general

evaluate : 50 - 12 * 3 * 2 = ?

0general

a grocer has 400 pounds of coffee in stock , 20 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated , what percent , by weight , of the grocer ’ s stock of coffee is decaffeinated ?

2gain

the area of a parallelogram is 1764 sq m and its base is nine times size of the corresponding altitude . then the length of the base is ?

3geometry

at what rate percent per annum will a sum of money double in 8 years .

2gain

paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ?

3geometry

a shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight . what is his profit percentage ?

2gain

how many odd numbers between 10 and 900 are the squares of integers ?

3geometry

what is the value of x ^ 2 yz − xyz ^ 2 , if x = 2 , y = 1 , and z = 2 ?

0general

by selling 18 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 35 % ?

2gain

how many pieces of 0.35 meteres can be cut from a rod 12.5 meteres long

1physics

in a class , 7 students like to play basketball and 5 like to play cricket . 3 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ?

5other

a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ?

4probability

jerry travels 8 miles at an average speed of 40 miles per hour , stops for 12 minutes , and then travels another 20 miles at an average speed of 60 miles per hour . what is jerry ’ s average speed , in miles per hour , for this trip ?

1physics

8 men can dig a pit in 20 days . if a men work half as much again as a boy , then 4 men and 9 boys can dig a similar pit . fint the days for 15 boys can dig ?

1physics

a man invests in a 16 % stock at 128 . the interest obtained by him is

2gain

in what ratio must tea at rs . 60 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 63 per kg ?

5other

how many pounds of salt at 80 cents / lb must be mixed with 40 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ?

2gain

how long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ?

1physics

if 2 cards are selected at random from the deck of 52 cards then what is the probability of one of the selected cards will be king and other will be 10 ? a deck of cards has a total of 52 cards , consisting of 4 suits ; ( spades ( black ) , hearts ( red ) , diamond ( red ) s , and clubs ( black ) ) ; and 13 cards including 1 king , 1 queen and 1 jack in each suit

4probability

a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 10 multiples of 14 , how many multiples of 7 are there in q ?

1physics

60 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 4 like all . how many people like apple ?

0general

bhanu spends 30 % of his income on petrol on scooter 20 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?

2gain

the average of the first 5 multiples of 9 is :

0general

13 different biology books and 8 different chemistry books lie on a shelf . in how many ways can a student pick 2 books of each type ?

5other

real - estate salesman z is selling a house at a 20 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 20 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 20 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?

0general

how many integers between 100 and 160 , inclusive , can not be evenly divided by 3 nor 5 ?

0general

calculate the share of y , if rs . 690 is divided among x , y and z in the ratio 5 : 7 : 11 ?

0general

you hold some gold in a vault as an investment . over the past year the price of gold increases by 52 % . in order to keep your gold in the vault , you must pay 6 % of the total value of the gold per year . what percentage has the value of your holdings changed by over the past year .

2gain

a tank contains 9,000 gallons of a solution that is 6 percent sodium chloride by volume . if 3,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?

2gain

a sum fetched a total simple interest of rs . 750 at the rate of 6 p . c . p . a . in 5 years . what is the sum ?

2gain

robert ate 12 chocolates , nickel ate 3 chocolates . how many more chocolates did robert ate than nickel ?

0general

in what time will a train 140 meters long cross an electric pole , if its speed is 210 km / hr

1physics

there are two cars . one is 300 miles north of the other . simultaneously , the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour . how many miles apart are the cars after 5 hours ?

1physics

an investment compounds annually at an interest rate of 34.1 % what is the smallest investment period by which time the investment will more than triple in value ?

2gain

the cross - section of a water channel is a trapezium in shape . if the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross - section is 630 square meters , what is the depth of the channel ( in meters ) ?

1physics

a bicycle wheel has a diameter of 0.51 m . how many complete revolutions does it make in 1 km ?

1physics

triangle atriangle b are similar triangles with areas 1536 units square and 1734 units square respectively . the ratio of there corresponding height would be

3geometry

x can finish a work in 20 days . y can finish the same work in 16 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ?

1physics

if the average of 10 consecutive integers is 20.5 then the 10 th integer is : -

0general

sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 55 marks . how many sums did sandy get correct ?

0general

a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money m did bob receive ?

0general

last year elaine spent 10 % of her annual earnings on rent . this year she earned 15 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?

2gain

sandy is younger than molly by 8 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?

5other

when x is multiplied by 3 , the result is 4 more than the result of subtracting x from 16 . what is the value of x ?

0general

in a certain school , 25 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 36 . what is the total number of students in the school ?

0general

how many seconds will a 600 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?

1physics

a train covers a distance of 12 km in 10 minutes . if it takes 9 seconds to pass a telegraph post , then the length of the train is

1physics

the radius of a cylindrical vessel is 7 cm and height is 1 cm . find the whole surface of the cylinder ?

3geometry

machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 5600 envelopes .

1physics

if the probability of rain on any given day in chicago during the summer is 25 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ?

0general

what is the difference between the place value and face value of 4 in the numeral 46 ?

0general

in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 1,000 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 9,000 higher that m , then what percentage of apartments in the building are two - bedroom apartments ?

0general

a person travels from p to q a speed of 30 km / hr and returns by increasing his speed by 30 % . what is his average speed for both the trips ?

0general

the sum of all the integers f such that - 26 < f < 24 is

0general

the average expenditure of a labourer for 6 months was 70 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i

0general

a student chose a number , multiplied it by 8 , then subtracted 138 from the result and got 102 . what was the number he chose ?

0general

a man has rs . 192 in the denominations of one - rupee notes , 5 - rupee notes and 10 - rupee notes . the number of notes of each denomination is equal . what is the total number of notes that he has ?

0general

how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 40 percent butterfat to obtain milk that is 20 percent butterfat ?

0general

the price of lunch for 15 people was $ 211.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ?

0general

how many times digit 20 is used while writing numbers from 100 to 500 ?

0general