dfdsfgf/big_math_dataset · Datasets at Hugging Face

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For any non-zero a and b that satisfy \|ab\| = ab and \|C\| = -c \|b - 4\| + \|ab - b\| = ?
An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 50 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Average of all prime numbers between 40 to 50
Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 51 percent were employees. What percent were stockholders, who were not employees?
What is the greatest 6-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 4, 5, 6, 7, and 8 respectively?
What is the square root of 3,249?
There are 6 boxes numbered 1, 2,3,4,5 and 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball & the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is?
For integers M and N, when M is divided by N, the remainder is odd. Which of the following must be true?
There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball.
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. When A done the work?
What is the area of a square with perimeter 12P ?
Average of first five multiples of 3 is
A bag contains 7 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
What is the smallest 6 digit number exactly divisible by 111?
The equation x/y - 2/5 = 0 is equivalent to each of the following EXCEPT
A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 7:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?
In how many ways the letters of the word RAIXBON be arranged?
In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
The average age 6 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
How many 3-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
15.06 * 0.001 = ?
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=
Mark and Cody invest in a business and each put in $12000. After 3 months, Cody withdraws half of his capital. How should they share the profits after 12 months?
Sum of two numbers is 63. Their difference is 1/8 of their sum. their L.C.M is
If x,p,q, and r are positive integers and (p)×(q)×(r)=x^2, which of the following could be the values of p,q, and r?
Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 10 more revolutions than gear P?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?
Factor: x4y3 â€“ 16y3
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
A man buys a truck for Rs. 2,50,000. The annual repair cost comes to 2% of the price of purchase. Besides, he has to pay an annual tax of Rs. 2000. At what monthly rent must he rent out the truck to get a return of 15% on his net invests of the first year?
The average of 13 numbers is 14.8. If the average of the first seven numbers is 14.6 and that of the last seven numbers is 14.4,then the middle number is?
Of the 440 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
3/7 of a congregation are men while 11/21are women. What is the increase in percentage from ratio of men to ratio of women in the congregation?
If x is 20 percent more than y and y is 70 percent less than z, then x is what percent of z?
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
1/6 = 4/5 . which method did you use to determine whether this proportion is true or false?
During a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Appleland). What is highest number of apples you can get to Bananaville?
In how many different ways can 5 girls and 6 boys form a circle such that the boys and the girls alternate?
When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
In a bag, there are six 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?
Sandy is younger than Molly by 14 years. If their ages are in the respective ratio of 7:9, how old is Molly?
A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip?
Last year, for every 100 million vehicles that traveled on a certain highway, 80 vehicles were involved in accidents. If 4 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
In track last week, the boys ran sixteen laps. The girls ran four more laps. Each lap is a quarter of a mile. How many miles did the girls run?
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
The cross-section of a cannel is a trapezium in shape. If the cannel is 9 m wide at the top and 7 m wide at the bottom and the area of cross-section is 560 sq m, the depth of cannel is?
The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
On January 1, 2076, Lake Loser contains x liters of water. By Dec 31 of that same year, 2/7 of the x liters have evaporated. This pattern continues such that by the end of each subsequent year the lake has lost 2/7 of the water that it contained at the beginning of that year. During which year will the water in the lake be reduced to less than 1/4 of the original x liters?
In a group of 6 boys and 4 girls are to be selected. In how many different ways can they be selected such that at least one boy should be there ?
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
How many 4-digit positive integers are there, where each digit is positive, and no 4 adjacent digits are same?
According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice?
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 7 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
If the sides of a square are multiplied by sqrt(5), the area of the original square is how many times as large as the area of the resultant square?
A sum of Rs. 12500 amounts to Rs. 16000 in 4 years at the rate of simple interest. What is the rate of interest?
A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
in a company the salary of 40 percentage of 400 employees is equal to 20 percentage of x employees, then what is x?
A basketball team comprising of 5 players decides to get ice cream from a diner. What is the probability that Alex a member of the team will stand next to only person in the queue to get his ice cream?
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 38 percent, what is the discount rate on mysteries?
In one hour, a boat goes 7 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Each of the following equations has at least one solution EXCEPT
A colony of bacteria in a petri dish grew by 150% from t0 to t1. The number of bacteria grew by 400% from t0 to t2. What was the percentage growth in the number of bacteria from t1 to t2?
A train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 5 minutes. In how much time will he be able to take all the five tablets?
Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 35%. What fraction of the original paint was replaced?
Baker Donley is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Rohit invests a sum of money at compound interest which doubles itself in 3 years, find in how many years will it amount to four times itself ?
If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 120 revolutions. How many revolutions does the second wheel make in covering d feet?
Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 5t seconds, then what is the length of the platform?
If the average (arithmetic mean) of a and b is 210, and the average of b and c is 160, what is the value of a − c?
In a division, divident is 725, divisior is 36 and quotient is 20. Find the remainder.
A sum fetched a total simple interest of 4020.75 at the rate of 9 %.p.a. in 5 years. What is the sum?
Find the value of log y(x4) if logx(y3) = 2
4.2x4.2-1.9x1.9/2.3x6.1 is equal to:
In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 20 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
A certain sum amounts to Rs.1600 in 4 years and Rs.1900 in 7 years. Find the rate % per annum?
A bag contains 20 black balls and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction Q of the area of triangle ABC is the area of triangle XYZ?
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
If b is greater than 1, which of the following must be negative?
For a,f,d are the positive integers, and d\|a means that “a is divisible by d”, if d\|af, which of the following must be true?
Find the value of 72519 x 9999 = m?
Each of the 59 members in Mount school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is :
Laura can paint 1/x of a certain room in 20 minutes. What fraction C of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
A bag contains 4red, 6blue and 3green balls. If 3 balls are picked at random, what is the probability that both are BLUE?
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?

For any non-zero a and b that satisfy |ab| = ab and |C| = -c |b - 4| + |ab - b| = ?

An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 50 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?

Average of all prime numbers between 40 to 50

Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 51 percent were employees. What percent were stockholders, who were not employees?

What is the greatest 6-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 4, 5, 6, 7, and 8 respectively?

What is the square root of 3,249?

There are 6 boxes numbered 1, 2,3,4,5 and 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball & the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is?

For integers M and N, when M is divided by N, the remainder is odd. Which of the following must be true?

There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball.

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. When A done the work?

What is the area of a square with perimeter 12P ?

Average of first five multiples of 3 is

A bag contains 7 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is

What is the smallest 6 digit number exactly divisible by 111?

The equation x/y - 2/5 = 0 is equivalent to each of the following EXCEPT

A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 7:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)

A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m2; find the length of the diagonal of the courtyard?

In how many ways the letters of the word RAIXBON be arranged?

In Lulu company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?

The average age 6 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?

How many 3-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?

15.06 * 0.001 = ?

A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?

In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=

Mark and Cody invest in a business and each put in $12000. After 3 months, Cody withdraws half of his capital. How should they share the profits after 12 months?

Sum of two numbers is 63. Their difference is 1/8 of their sum. their L.C.M is

If x,p,q, and r are positive integers and (p)×(q)×(r)=x^2, which of the following could be the values of p,q, and r?

Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 10 more revolutions than gear P?

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?

Factor: x4y3 â€“ 16y3

A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?

A man buys a truck for Rs. 2,50,000. The annual repair cost comes to 2% of the price of purchase. Besides, he has to pay an annual tax of Rs. 2000. At what monthly rent must he rent out the truck to get a return of 15% on his net invests of the first year?

The average of 13 numbers is 14.8. If the average of the first seven numbers is 14.6 and that of the last seven numbers is 14.4,then the middle number is?

Of the 440 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:

3/7 of a congregation are men while 11/21are women. What is the increase in percentage from ratio of men to ratio of women in the congregation?

If x is 20 percent more than y and y is 70 percent less than z, then x is what percent of z?

The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?

1/6 = 4/5 . which method did you use to determine whether this proportion is true or false?

During a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?

You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Appleland). What is highest number of apples you can get to Bananaville?

In how many different ways can 5 girls and 6 boys form a circle such that the boys and the girls alternate?

When a Bike is sold for Rs. 63,000, the owner loses 10%. At what price must that Bike be sold in order to gain 10%?

A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?

In a bag, there are six 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice (numbered 1 to 20). If four of these dice are selected at random from the bag, and then the four are rolled and we find the sum of numbers showing on the four dice, how many different possible totals are there for this sum?

Sandy is younger than Molly by 14 years. If their ages are in the respective ratio of 7:9, how old is Molly?

A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip?

Last year, for every 100 million vehicles that traveled on a certain highway, 80 vehicles were involved in accidents. If 4 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)

In track last week, the boys ran sixteen laps. The girls ran four more laps. Each lap is a quarter of a mile. How many miles did the girls run?

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?

The cross-section of a cannel is a trapezium in shape. If the cannel is 9 m wide at the top and 7 m wide at the bottom and the area of cross-section is 560 sq m, the depth of cannel is?

The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?

On January 1, 2076, Lake Loser contains x liters of water. By Dec 31 of that same year, 2/7 of the x liters have evaporated. This pattern continues such that by the end of each subsequent year the lake has lost 2/7 of the water that it contained at the beginning of that year. During which year will the water in the lake be reduced to less than 1/4 of the original x liters?

In a group of 6 boys and 4 girls are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?

How many 4-digit positive integers are there, where each digit is positive, and no 4 adjacent digits are same?

According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice?

Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 7 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)

If the sides of a square are multiplied by sqrt(5), the area of the original square is how many times as large as the area of the resultant square?

A sum of Rs. 12500 amounts to Rs. 16000 in 4 years at the rate of simple interest. What is the rate of interest?

A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

in a company the salary of 40 percentage of 400 employees is equal to 20 percentage of x employees, then what is x?

A basketball team comprising of 5 players decides to get ice cream from a diner. What is the probability that Alex a member of the team will stand next to only person in the queue to get his ice cream?

A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?

A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 38 percent, what is the discount rate on mysteries?

In one hour, a boat goes 7 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

Each of the following equations has at least one solution EXCEPT

A colony of bacteria in a petri dish grew by 150% from t0 to t1. The number of bacteria grew by 400% from t0 to t2. What was the percentage growth in the number of bacteria from t1 to t2?

A train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 5 minutes. In how much time will he be able to take all the five tablets?

Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 35%. What fraction of the original paint was replaced?

Baker Donley is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?

Rohit invests a sum of money at compound interest which doubles itself in 3 years, find in how many years will it amount to four times itself ?

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?

A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 120 revolutions. How many revolutions does the second wheel make in covering d feet?

Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?

A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 5t seconds, then what is the length of the platform?

If the average (arithmetic mean) of a and b is 210, and the average of b and c is 160, what is the value of a − c?

In a division, divident is 725, divisior is 36 and quotient is 20. Find the remainder.

A sum fetched a total simple interest of 4020.75 at the rate of 9 %.p.a. in 5 years. What is the sum?

Find the value of log y(x4) if logx(y3) = 2

4.2x4.2-1.9x1.9/2.3x6.1 is equal to:

In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?

The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 20 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?

A certain sum amounts to Rs.1600 in 4 years and Rs.1900 in 7 years. Find the rate % per annum?

A bag contains 20 black balls and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction Q of the area of triangle ABC is the area of triangle XYZ?

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?

If b is greater than 1, which of the following must be negative?

For a,f,d are the positive integers, and d|a means that “a is divisible by d”, if d|af, which of the following must be true?

Find the value of 72519 x 9999 = m?

Each of the 59 members in Mount school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is :

Laura can paint 1/x of a certain room in 20 minutes. What fraction C of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?

A bag contains 4red, 6blue and 3green balls. If 3 balls are picked at random, what is the probability that both are BLUE?

A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?