dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $1050?
Carina has 70 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Integers 3n+2 and 8n+1 are divisible by an integer p. If p is not equal to 1, then p equals to?
A circular rim A having a diameter of 45 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 30 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
You buy a piece of land with an area of âˆš625, how long is one side of the land plot?
A number a is squared and then multiplied by negative 1. The result of this operation is equal to 1 times the sum of 2times a and 1. What is one possible value of a ?
Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $12,000 higher than Store B's revenues. In the second month, Store A's revenues were $8,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
What was the day of the week on, 15th July, 1776?
If 36 men can do a piece of work in 25 hours, in how many hours will 10 men do it?
A boat can move upstream at 15 kmph and downstream at 75 kmph, then the speed of the current is?
On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 49 centimeters assuming that 1-inch is 2.54 centimeters?
Solve the number series by identifying the last number. 1 4 5 6 7 9 11 ?
If A^2 + B^2 = 15 and AB = 25, what is the value of the expression (A - B)^2 + (A + B)^2?
A student traveled 25 percent of the distance of the trip alone, continued another 20 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
M = {-6, -5, -4, -3, -2, -1} T = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5} If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Eight coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/e, which of the following statements could be false?
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 27m/h. what is the speedof the person while he was going to his office?
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $198, how many hours overtime did he work?
If X boxes of pineapple juice cost 342 cents, how much will Y boxes cost in dollars?
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
A set of numbers has the property that for any number x in the set, x+1 is also in the set. If -1 is in the set, which of the following must also be in the set 1. 2 2. 0 3. -2
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(34)?
A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?
4, 6, 12 , 14 , 28, 30, ?
In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.3, 9.0, 6.0, and 8.6, what was the point value of the dive?
Find the middle one when the sum of 3 consecutive even numbers is 36?
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 4 to 6 at bats in a recent game and had anywhere from 1 to 2 hits in the same game, the player’s actual batting average for that game could fall anywhere between
6 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Two taps can separately fill a cistern 7 minutes and 14 minutes respectively and when the waste pipe is open, they can together fill it in 8 minutes. The waste pipe can empty the full cistern in?
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 170 m. Then, A wins by:
Remainder of 2^47/47 ?
Among 100 people, 50% like strawberry jam, 40% like apple jam, and 30% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
A committee of 3 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If five minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
The unit’s digit in the product (3127)^173 is:
A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?
The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What is the weight of the new person?
As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers?
The market price of an article was 40% more than its cost price. I was going to sell it at market price to a customer, but he showed me some defects in the article, due to which I gave him a discount of 28.57%. Next day he came again and showed me some more defects, hence I gave him another discount that was equal to 12.5% of the cost price. What was the approximate loss to me?
Which of the following is equal to 1(1/2)%?
A trader has 400 kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss?
Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 2520 interest only for the period. The principal amount borrowed by him was:
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 12240, how much money did he borrow?
A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability W that the 2 apples selected will include the spoiled one?
The average of a set of five distinct integers is 370. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
A crate measures 7 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
A car dealer has only red and yellow cars in his show room. He currently has 20% more yellow cars then red. IF he has 20 red cars, how many yellow cars does he have?
If 4 men working 10 hours a day earn Rs. 1000 per week, then 9 men working 6 hours a day will earn how much per week?
Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 6 pumps to empty the same pool?
Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram's tour programme is
If x is an even integer, which of the following is an even integer?
Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?
A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Carl bought 16 gumballs, Lewis bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev’s share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999?.
Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly twice in 2 consecutive flips ?
A woman took some money for borrowed, for 3 years the total will be Rs.4000 and 5 years it will be Rs.5000/-. Then how much amount she borrowed?
If we have 5 people in a meeting, in how many ways they can sit around a table?
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Approximately how many revolutions will be made by a car tire with a 12-inch diameter if the car travels 1 mile?
The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the ages will be in the ratio 3:5. Find the present age of Brown.
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 6 minutes less than they can row it in still water. How long would they take to row down with the stream
If k and y are integers, and 10k + y is odd, which of the following must be true?
what is the minimum possible range in scores of the three test-takers?Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 25 and 36.
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $10 on candy, how much did John spend at the supermarket?
If A : B = 4 : 5 and B : C = 6 : 7 then A : B : C is :
What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '5'?
In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 50 more than the correct answer. Find the number.
man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A company consists of 6 senior and 5 junior staff officers. If a committee is created with 3 senior and 3 junior staff officers, in how many ways can the committee be formed?
From the word 'LAPAROSCOPY' how many independent meaningful words can be made without changing the order of the letters and using each letter only once ?
Find (7x + 5y ) / (x-2y) if x/2y = 3/2 ?
When positive integer n is divided by 4, the remainder is 2. When n is divided by 7, the remainder is 5. How many values less than 100 can n take?
The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 10% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 340 m long?
Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Numbers from 1 to 10^2012 are given, there are 'm' no of 1's and 'n' no of 2's. Then what is (m-n).
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 57 liters and they are all empty, how much money total will it cost to fuel all cars?
If z2 + 4y2 = 4zy, then z : y is :
A sells a bicycle to B at a profit of 50% and B sells it to C at a loss of 40%. Find the resultant profit or loss.
The sum of three consecutive even numbers is 42. Find the middle number of the three?
Arabica coffee costs $0.5 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.33 per ounce, what is the share of Arabica in this blend?
A shopkeeper sold an article offering a discount of 4% and earned a profit of 44%. What would have been the percentage of profit earned if no discount was offered?
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad
Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 81. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
What is remainder of the division (162516271629)/12?
Machine X takes 60 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce
There are 12 balls in a bag; 8 are blue balls and the other 4 are yellow balls. If 3 balls are to be selected at random from the 12 balls, what is the probability that at least one of the yellow ball will be selected?
A certain quantity of 40% concentration solution is replaced with 25% concentration solution such that the concentration of the combined amount is 35%. What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?

A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $1050?

Carina has 70 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?

Integers 3n+2 and 8n+1 are divisible by an integer p. If p is not equal to 1, then p equals to?

A circular rim A having a diameter of 45 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 30 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.

You buy a piece of land with an area of âˆš625, how long is one side of the land plot?

A number a is squared and then multiplied by negative 1. The result of this operation is equal to 1 times the sum of 2times a and 1. What is one possible value of a ?

Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $12,000 higher than Store B's revenues. In the second month, Store A's revenues were $8,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?

What was the day of the week on, 15th July, 1776?

If 36 men can do a piece of work in 25 hours, in how many hours will 10 men do it?

A boat can move upstream at 15 kmph and downstream at 75 kmph, then the speed of the current is?

On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 49 centimeters assuming that 1-inch is 2.54 centimeters?

Solve the number series by identifying the last number. 1 4 5 6 7 9 11 ?

If A^2 + B^2 = 15 and AB = 25, what is the value of the expression (A - B)^2 + (A + B)^2?

A student traveled 25 percent of the distance of the trip alone, continued another 20 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?

M = {-6, -5, -4, -3, -2, -1} T = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5} If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?

Eight coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/e, which of the following statements could be false?

A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 27m/h. what is the speedof the person while he was going to his office?

A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $198, how many hours overtime did he work?

If X boxes of pineapple juice cost 342 cents, how much will Y boxes cost in dollars?

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit

A set of numbers has the property that for any number x in the set, x+1 is also in the set. If -1 is in the set, which of the following must also be in the set 1. 2 2. 0 3. -2

For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(34)?

A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?

4, 6, 12 , 14 , 28, 30, ?

In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.3, 9.0, 6.0, and 8.6, what was the point value of the dive?

Find the middle one when the sum of 3 consecutive even numbers is 36?

A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest?

A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?

In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 4 to 6 at bats in a recent game and had anywhere from 1 to 2 hits in the same game, the player’s actual batting average for that game could fall anywhere between

6 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

Two taps can separately fill a cistern 7 minutes and 14 minutes respectively and when the waste pipe is open, they can together fill it in 8 minutes. The waste pipe can empty the full cistern in?

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 170 m. Then, A wins by:

Remainder of 2^47/47 ?

Among 100 people, 50% like strawberry jam, 40% like apple jam, and 30% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?

A committee of 3 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?

Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If five minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?

The unit’s digit in the product (3127)^173 is:

A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?

Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?

The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What is the weight of the new person?

As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers?

The market price of an article was 40% more than its cost price. I was going to sell it at market price to a customer, but he showed me some defects in the article, due to which I gave him a discount of 28.57%. Next day he came again and showed me some more defects, hence I gave him another discount that was equal to 12.5% of the cost price. What was the approximate loss to me?

Which of the following is equal to 1(1/2)%?

A trader has 400 kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss?

Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 2520 interest only for the period. The principal amount borrowed by him was:

Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 12240, how much money did he borrow?

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability W that the 2 apples selected will include the spoiled one?

The average of a set of five distinct integers is 370. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?

A crate measures 7 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?

A car dealer has only red and yellow cars in his show room. He currently has 20% more yellow cars then red. IF he has 20 red cars, how many yellow cars does he have?

If 4 men working 10 hours a day earn Rs. 1000 per week, then 9 men working 6 hours a day will earn how much per week?

Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 6 pumps to empty the same pool?

Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram's tour programme is

If x is an even integer, which of the following is an even integer?

Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

Carl bought 16 gumballs, Lewis bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev’s share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999?.

Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.

If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exactly twice in 2 consecutive flips ?

A woman took some money for borrowed, for 3 years the total will be Rs.4000 and 5 years it will be Rs.5000/-. Then how much amount she borrowed?

If we have 5 people in a meeting, in how many ways they can sit around a table?

How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

Approximately how many revolutions will be made by a car tire with a 12-inch diameter if the car travels 1 mile?

The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the ages will be in the ratio 3:5. Find the present age of Brown.

A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 6 minutes less than they can row it in still water. How long would they take to row down with the stream

If k and y are integers, and 10k + y is odd, which of the following must be true?

what is the minimum possible range in scores of the three test-takers?Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 25 and 36.

At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $10 on candy, how much did John spend at the supermarket?

If A : B = 4 : 5 and B : C = 6 : 7 then A : B : C is :

What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '5'?

In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 50 more than the correct answer. Find the number.

man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

A company consists of 6 senior and 5 junior staff officers. If a committee is created with 3 senior and 3 junior staff officers, in how many ways can the committee be formed?

From the word 'LAPAROSCOPY' how many independent meaningful words can be made without changing the order of the letters and using each letter only once ?

Find (7x + 5y ) / (x-2y) if x/2y = 3/2 ?

When positive integer n is divided by 4, the remainder is 2. When n is divided by 7, the remainder is 5. How many values less than 100 can n take?

The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 10% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?

A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 340 m long?

Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?

Find the value of y from (12)^3 x 6^4 ÷ 432 = y?

Numbers from 1 to 10^2012 are given, there are 'm' no of 1's and 'n' no of 2's. Then what is (m-n).

In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 57 liters and they are all empty, how much money total will it cost to fuel all cars?

If z2 + 4y2 = 4zy, then z : y is :

A sells a bicycle to B at a profit of 50% and B sells it to C at a loss of 40%. Find the resultant profit or loss.

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

Arabica coffee costs $0.5 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.33 per ounce, what is the share of Arabica in this blend?

A shopkeeper sold an article offering a discount of 4% and earned a profit of 44%. What would have been the percentage of profit earned if no discount was offered?

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad

Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 81. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?

What is remainder of the division (1625*1627*1629)/12?

Machine X takes 60 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce

There are 12 balls in a bag; 8 are blue balls and the other 4 are yellow balls. If 3 balls are to be selected at random from the 12 balls, what is the probability that at least one of the yellow ball will be selected?

A certain quantity of 40% concentration solution is replaced with 25% concentration solution such that the concentration of the combined amount is 35%. What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?