dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
A can have a piece of work done in 4 days, B can work two times faster than the A, C can work three times faster than A. How many days will they take to do the work together ?
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 2 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?
Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Barbata invests $2600 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth
The slant height of a cone is 10 cm and radius of the base is 5cm, find the curved surface of the cone?
If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $76, how much does one shirt cost?
In a certain company, the ratio of male to female employees is 7:8. If 3 more men were hired, this ratio would increase to 8:9. How many male employees are there in the company?
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 150 m in length?
If r + \| r \| = 0, which of the following must be true?
In the city of San Durango, 90 people own cats, dogs, or rabbits. If 60 people owned cats, 20 owned dogs, 40 owned rabbits, and 18 owned exactly two of the three types of pet, how many people owned all three?
For any number s, s* is defined as the greatest positive even integer less than or equal to s. What is the value of 5.2 – 5.2*?
If the volume of two cubes are in the ratio 8:1, the ratio of their edges is:
Solve the quickfire maths brain teaser âˆš25% = ?
The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
3 candidates in an election and received 1000, 2000 and 4000 votes respectively. What % of the total votes did the winning candidate got in that election?
1/(3-2√2)=?
I flew my tiny seaplane to visit my mother. On the flight up, I flew at 110 mph. On the way home, I flew 72 mph. What was my average speed for the trip?
A retailer buys a radio for Rs 225. His overhead expenses are Rs 20. He sellis the radio for Rs 300. The profit percent of the retailer is
John invested Rs. 3500 in a scheme for 3 years at compound interest rate 4% p.a. How much amount will John get on maturity of the fixed deposit?
Martins made a part payment of $650 toward buying a brand new washing machine, which represents 15% of the total cost of the washing machine, how much remains to be paid?
In a particular 100 meter race, 7 athletes are participating that are numbered 1-7. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?
A zinc-copper alloy with 6 kg of pure zinc would contain 90% of zinc. The alloy with 4 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
The average (arithmetic mean) of 14, 32, and 53 is 3 more than the average of 21, 47, and x. What is x?
A teacher gave the same test to three history classes: D, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
The total of the ages of Amar, Akbar and Anthony is 40 years. What was the total of their ages two years ago ?
Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 36∘, the temperature of Friday was :
If 25% of x is 15 less than 15% of 1600, then x is?
Three models (K, L, and M) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model K, 17 cars of Model L, and 15 cars of Model M. What is the maximum number of cars of model K in any showroom ?
If x and y are integers, and x/y is not an integer then which of the following must be true?
Complete the sequence: B D H N ?
The circulation for magazine P in 1961 was 4 times the average (arithmetic mean) yearly circulation for magazine P for the years 1962-1970. What is the ratio of the circulation in 1961 to the total circulation during 1961-1970 for magazine P ?
Find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm.
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
In a certain town, there are two times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
There are 4 people and 4 chairs. In how many different ways people can occupy the chairs?
In the xy-coordinate system, line k passes through points (-7m, 0) and (0, 3m). Which of the following is a possible equation of line k?
Ayesha's father was 34 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A coin is flipped twice.What is the probability that both flips result in heads given that first flip does?
A shopkeeper sold an book offering a discount of 5% and earned a profit of 33%. What would have been the percentage of profit earned if no discount was offered?
A number exceeds by 15 from its 3/8 part. Then the number is?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 14 sec. What is the length of the platform?
Circles X and Y are concentric. If the radius of circle X is six times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 35 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?
How many Kg of rice at Rs.6.60 per Kg. be mixed with 56Kg of rice at Rs.9.60 per Kg to get a mixture worth Rs.8.20 per Kg
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
A one-foot stick is marked in 1/2 and 1/4 portion. How many total markings will there be, including the end points?
Find a two digit number, given that the sum of the digits is 13 and the difference of the digits is 5.?
john bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that john paid, including sales tax?
In how many ways can 5 boys and 2girls be arranged ata table if 2 girls are never together?
When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in h hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of h?
The L.C.M. of 2 numbers is 54. The numbers are in the ratio 2:3. Find their sum?
Set A contains all the even numbers between 22 and 70 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 74% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 58% problems right. How many more questions he would have to answer more to get passed
If Jake loses 5 pounds, he will weigh thrice as much as his sister. Together they now weigh 285 pounds. What is Jake's present weight, in pounds?
A and B started a business with their capitals Rs. 24,000 and 36,000 respectively. Annual profit will be distributed between them in the ratio
Which of the following numbers is between 1⁄2 and 1⁄3?
How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
What is the smallest number which, when increased by 7, is divisible by 7, 8, and 24?
In how many ways can a group of 2 men and 2 women be made out of a total of 7 men and 5 women?
Two cars start from the opposite places of a main road, 140 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
Find the compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
An increase of Rs 3 in the selling price of an article turn a loss of 15/2% into a gain of 15/2%.The cost price of the article is??
A and B complete a work in 6 days. A alone can do it in 8 days. If both together can do the work in how many days?
The addition 742586 + 829430 = 1212016 is incorrect. It can be corrected by changing one digit d, wherever it occurs, to another digit e. Find sum of d and e.
If a(a + 7) = 18 and b(b + 7) = 18, where a ≠ b, then a + b =
How long will it take for a sum of money to grow from Rs.1000 to Rs.5,000, if it is invested at 20% p.a simple interest?
45 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
The greatest number which on dividing 1642 and 1856 leaves remainders 6 and 4 respectively, is:
Indu gave Bindu Rs.7500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A store sells brand X pens for 5 dollars each, brand Y pens for $4 each and brand Z pens for $3 each. There are a total of 36 of these three types of pens in the store, the number of brand X pens is twice sum of the number of brand Y pens and brand Z pens, and the difference of the number of brand Y pens and the number of brand Z pens is 2. What is the largest possible total amount that three types of pens will be sold for?
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Working at their respective constant rates, machine A makes 100 copies in 8 minutes and machine B makes 150 copies in 10 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
a,b and c are three sides of a right angled triangle . a,b and c are all integers . Area of the triangle is T1. From all three sides a,b and c , we draw a square having areas as S1, S2 and S3 . Now, Total area ( T1+S1+S2+S3) is :
How much space, in cubic units, is left vacant when maximum number of 3x3x3 cubes are fitted in a rectangular box measuring 6x9x11 ?
A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times?
Find the value of m from given 72519 x 9999 = m?
A tradesman by means of his false balance defrauds to the extent of 12%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
John was thrice as old as Tom 6 years ago. John will be 2 times as old as Tom in 4 years. How old is Tom today?
A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
there are sixty markings on a clock, minutes hand was exactly on one of those markings. nine markings away from the minutes hand was hours hand. what could be the time.
The total cost of 100 paper plates and 200 paper cups is $8.00 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
In a certain city, 60 percent of the households have cable television, and 50 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:
Rohit paid $4,000 for 100 shares of stock X and $2,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/5 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Of the 60 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?
Line m lies in the xy-plane. The y-intercept of line m is -5, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?
How many different subsets of the set {11, 14, 17, 24} are there that contain an odd number of elements?
You need to print a document of the area 216 sq cm. Condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides. What is the optimized size of your paper?
A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
Tom had 63 apples. He divides all apples evenly among 9 friends. How many apples did Tom give to each of his friends?
A cricket bat is sold for $850, making a profit of $230. The profit percentage would be
You play the following game with a friend. You share a pile of chips, and you take turns removing between one and four chips from the pile. (In particular, at least one chip must be removed on each turn.) The game ends when the last chip is removed from the pile; the one who removes it is the loser. It is your turn, and there are 2014 chips in the pile. How many chips should you remove to guarantee that you win, assuming you then make the best moves until the game is over?
36 men can complete a piece of work in 18 days. In how many days will 108 men complete the same work ?
A bag contains one rupee, 50 paisa and 10 paisa coins in the ratio of 3:2:1. How many 50 paisa coins are there, if the total number of money in the bag is Rs 820?
It was a beautiful sunny morning. The air was fresh and a mild wind was blowing against my wind screen. I was driving from Bangalore to Brindavan Gardens. It took me 1 hour and 30 minutes to complete the journey. After lunch I returned to Bangalore. I drove for 90 rhinutes. How do you explain it ?
How many positive 5-digit integers have the odd sum R of their digits?

A can have a piece of work done in 4 days, B can work two times faster than the A, C can work three times faster than A. How many days will they take to do the work together ?

A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 2 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?

Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?

Barbata invests $2600 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?

An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth

The slant height of a cone is 10 cm and radius of the base is 5cm, find the curved surface of the cone?

If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $76, how much does one shirt cost?

In a certain company, the ratio of male to female employees is 7:8. If 3 more men were hired, this ratio would increase to 8:9. How many male employees are there in the company?

How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 150 m in length?

If r + | r | = 0, which of the following must be true?

In the city of San Durango, 90 people own cats, dogs, or rabbits. If 60 people owned cats, 20 owned dogs, 40 owned rabbits, and 18 owned exactly two of the three types of pet, how many people owned all three?

For any number s, s* is defined as the greatest positive even integer less than or equal to s. What is the value of 5.2 – 5.2*?

If the volume of two cubes are in the ratio 8:1, the ratio of their edges is:

Solve the quickfire maths brain teaser âˆš25% = ?

The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?

3 candidates in an election and received 1000, 2000 and 4000 votes respectively. What % of the total votes did the winning candidate got in that election?

1/(3-2√2)=?

I flew my tiny seaplane to visit my mother. On the flight up, I flew at 110 mph. On the way home, I flew 72 mph. What was my average speed for the trip?

A retailer buys a radio for Rs 225. His overhead expenses are Rs 20. He sellis the radio for Rs 300. The profit percent of the retailer is

John invested Rs. 3500 in a scheme for 3 years at compound interest rate 4% p.a. How much amount will John get on maturity of the fixed deposit?

Martins made a part payment of $650 toward buying a brand new washing machine, which represents 15% of the total cost of the washing machine, how much remains to be paid?

In a particular 100 meter race, 7 athletes are participating that are numbered 1-7. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes?

A zinc-copper alloy with 6 kg of pure zinc would contain 90% of zinc. The alloy with 4 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.

The average (arithmetic mean) of 14, 32, and 53 is 3 more than the average of 21, 47, and x. What is x?

A teacher gave the same test to three history classes: D, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?

The total of the ages of Amar, Akbar and Anthony is 40 years. What was the total of their ages two years ago ?

Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.

The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 36∘, the temperature of Friday was :

If 25% of x is 15 less than 15% of 1600, then x is?

Three models (K, L, and M) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model K, 17 cars of Model L, and 15 cars of Model M. What is the maximum number of cars of model K in any showroom ?

If x and y are integers, and x/y is not an integer then which of the following must be true?

Complete the sequence: B D H N ?

The circulation for magazine P in 1961 was 4 times the average (arithmetic mean) yearly circulation for magazine P for the years 1962-1970. What is the ratio of the circulation in 1961 to the total circulation during 1961-1970 for magazine P ?

Find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm.

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

In a certain town, there are two times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is

There are 4 people and 4 chairs. In how many different ways people can occupy the chairs?

In the xy-coordinate system, line k passes through points (-7m, 0) and (0, 3m). Which of the following is a possible equation of line k?

Ayesha's father was 34 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A coin is flipped twice.What is the probability that both flips result in heads given that first flip does?

A shopkeeper sold an book offering a discount of 5% and earned a profit of 33%. What would have been the percentage of profit earned if no discount was offered?

A number exceeds by 15 from its 3/8 part. Then the number is?

A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 14 sec. What is the length of the platform?

Circles X and Y are concentric. If the radius of circle X is six times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?

From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 35 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?

How many Kg of rice at Rs.6.60 per Kg. be mixed with 56Kg of rice at Rs.9.60 per Kg to get a mixture worth Rs.8.20 per Kg

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?

A one-foot stick is marked in 1/2 and 1/4 portion. How many total markings will there be, including the end points?

Find a two digit number, given that the sum of the digits is 13 and the difference of the digits is 5.?

john bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that john paid, including sales tax?

In how many ways can 5 boys and 2girls be arranged ata table if 2 girls are never together?

When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in h hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of h?

The L.C.M. of 2 numbers is 54. The numbers are in the ratio 2:3. Find their sum?

Set A contains all the even numbers between 22 and 70 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?

Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 74% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 58% problems right. How many more questions he would have to answer more to get passed

If Jake loses 5 pounds, he will weigh thrice as much as his sister. Together they now weigh 285 pounds. What is Jake's present weight, in pounds?

A and B started a business with their capitals Rs. 24,000 and 36,000 respectively. Annual profit will be distributed between them in the ratio

Which of the following numbers is between 1⁄2 and 1⁄3?

How much time does a train 125 metres long running at 60 km/hr take to pass a pole?

What is the smallest number which, when increased by 7, is divisible by 7, 8, and 24?

In how many ways can a group of 2 men and 2 women be made out of a total of 7 men and 5 women?

Two cars start from the opposite places of a main road, 140 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?

Find the compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.

A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?

An increase of Rs 3 in the selling price of an article turn a loss of 15/2% into a gain of 15/2%.The cost price of the article is??

A and B complete a work in 6 days. A alone can do it in 8 days. If both together can do the work in how many days?

The addition 742586 + 829430 = 1212016 is incorrect. It can be corrected by changing one digit d, wherever it occurs, to another digit e. Find sum of d and e.

If a(a + 7) = 18 and b(b + 7) = 18, where a ≠ b, then a + b =

How long will it take for a sum of money to grow from Rs.1000 to Rs.5,000, if it is invested at 20% p.a simple interest?

45 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?

The greatest number which on dividing 1642 and 1856 leaves remainders 6 and 4 respectively, is:

Indu gave Bindu Rs.7500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?

A store sells brand X pens for 5 dollars each, brand Y pens for $4 each and brand Z pens for $3 each. There are a total of 36 of these three types of pens in the store, the number of brand X pens is twice sum of the number of brand Y pens and brand Z pens, and the difference of the number of brand Y pens and the number of brand Z pens is 2. What is the largest possible total amount that three types of pens will be sold for?

If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

Working at their respective constant rates, machine A makes 100 copies in 8 minutes and machine B makes 150 copies in 10 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?

a,b and c are three sides of a right angled triangle . a,b and c are all integers . Area of the triangle is T1. From all three sides a,b and c , we draw a square having areas as S1, S2 and S3 . Now, Total area ( T1+S1+S2+S3) is :

How much space, in cubic units, is left vacant when maximum number of 3x3x3 cubes are fitted in a rectangular box measuring 6x9x11 ?

A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times?

Find the value of m from given 72519 x 9999 = m?

A tradesman by means of his false balance defrauds to the extent of 12%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?

John was thrice as old as Tom 6 years ago. John will be 2 times as old as Tom in 4 years. How old is Tom today?

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?

there are sixty markings on a clock, minutes hand was exactly on one of those markings. nine markings away from the minutes hand was hours hand. what could be the time.

The total cost of 100 paper plates and 200 paper cups is $8.00 At the same rates what is the total cost of 20 of the plates and 40 of the cups?

In a certain city, 60 percent of the households have cable television, and 50 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:

Rohit paid $4,000 for 100 shares of stock X and $2,000 for 100 shares of stock Y. He later sold the same shares of both stocks, gaining 3/5 the amount he paid for stock Y. If the prices he had paid for the stocks had been reversed and everything else remained the same, then the net result would have been:

A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?

Of the 60 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?

Line m lies in the xy-plane. The y-intercept of line m is -5, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?

How many different subsets of the set {11, 14, 17, 24} are there that contain an odd number of elements?

You need to print a document of the area 216 sq cm. Condition is 3 cm margin is to be left at both top & bottom and 2 cm at the sides. What is the optimized size of your paper?

A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:

Tom had 63 apples. He divides all apples evenly among 9 friends. How many apples did Tom give to each of his friends?

A cricket bat is sold for $850, making a profit of $230. The profit percentage would be

You play the following game with a friend. You share a pile of chips, and you take turns removing between one and four chips from the pile. (In particular, at least one chip must be removed on each turn.) The game ends when the last chip is removed from the pile; the one who removes it is the loser. It is your turn, and there are 2014 chips in the pile. How many chips should you remove to guarantee that you win, assuming you then make the best moves until the game is over?

36 men can complete a piece of work in 18 days. In how many days will 108 men complete the same work ?

A bag contains one rupee, 50 paisa and 10 paisa coins in the ratio of 3:2:1. How many 50 paisa coins are there, if the total number of money in the bag is Rs 820?

It was a beautiful sunny morning. The air was fresh and a mild wind was blowing against my wind screen. I was driving from Bangalore to Brindavan Gardens. It took me 1 hour and 30 minutes to complete the journey. After lunch I returned to Bangalore. I drove for 90 rhinutes. How do you explain it ?

How many positive 5-digit integers have the odd sum R of their digits?