## How Many Balls Riddle

In the drawer beside your bed, you have three orange, two pink and five purple balls. There is no electricity and the room is completely dark. How many balls you must take out to make sure you have one ball of each color at least?

Hint:

9

2 < 3 < 5

To find out the required number of balls, take one in place of the least number (i.e. take one pink ball) and then add all the greater numbers (i.e. three orange and five purple balls) to it.

Required number of balls = 1 + 3 + 5 = 9.

YES NO

2 < 3 < 5

To find out the required number of balls, take one in place of the least number (i.e. take one pink ball) and then add all the greater numbers (i.e. three orange and five purple balls) to it.

Required number of balls = 1 + 3 + 5 = 9.

*Did you answer this riddle correctly?*YES NO

## Eating Burgers Riddle

If one and a half boys, eat one and a half burgers in one and a half hours.

How many burgers can 9 boys eat in 3 hours ?

How many burgers can 9 boys eat in 3 hours ?

Hint:

18

More hours => more burgers.

More boys => more burgers.

The time become twice (3 hours / 1.5 hours).

Boys become six times (9 / 1.5).

Number of burgers = 2 * 6 * Original(1.5)

= 18

YES NO

More hours => more burgers.

More boys => more burgers.

The time become twice (3 hours / 1.5 hours).

Boys become six times (9 / 1.5).

Number of burgers = 2 * 6 * Original(1.5)

= 18

*Did you answer this riddle correctly?*YES NO

## Accepting The Bet Riddle

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example

If the balls you picked had the numbers 6 and 13, you lose $1.

If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example

If the balls you picked had the numbers 6 and 13, you lose $1.

If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

Hint:

Yes, you should accept the bet. Simply because the odds of picking two relatively prime numbers are 60%. It is a win-win situation for you if you keep playing.

YES NO

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## Captured By The Riddler

In the land of Geopolizza, three men were captured by the infamous Riddler. So, the Riddler buries the three men, named 1, 2 and 3 in such a manner, that 1 is in the front, 2 in the middle and 3 in the back. They are buried neck deep, and cannot move, not even their heads. He shows them 5 caps, two of which are red and 3 of them are white. He then switches off the lights and places a hat on top of their heads. The situation is such that no one can see their hat color, 1 is facing the wall and cant say anything, 2 can see 1 and 3 can see both 1 and 2. Then he tells the rules of his game: "If either of you three can tell the correct color of your head, I will let all of you go. However, if any of you answer wrong, all 3 of you will instantly die. Time is 3 minutes."

Upon 2 and half minutes passing, A shouts the answer and all 3 are released free. How did he know the correct answer ?

Upon 2 and half minutes passing, A shouts the answer and all 3 are released free. How did he know the correct answer ?

Hint:

P3 can only be certain of his cap if 1 & 2 are both white. Since he is not certain then 1 & 2 must be either white/red or red/red. 2 knows this but the only combination that he will be able to know the colour of his own cap is if he sees that 1 is wearing a white cap. 1 knows this but as 2 remains uncertain then 1 must be wearing a red cap.

YES NO

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## A Pack Of 40 Cards

A pack of cards has 40 cards. You are blindfolded. Out of 40, 25 cards are facing down while 15 are facing up. You have been asked to divide this pack of cards into two decks - so that each deck contains an equal number of face up cards. Remember, you are blindfolded.

How will you do it?

How will you do it?

Hint:

Create a new deck of the exactly same number of cards as are face up cards in the original deck.Take 15 number of cards in a new deck and change their face direction. For example- You create a new deck of 15 cards and out of 15, 5 faces up in a new deck. So remaining 10 faces up are in the old deck. But hey! while creating the new deck you reversed the face direction of new cards. So actually the 5 cards which were facing up are actually face down in the new deck while 10 faces up.

YES NO

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## Grapeland To Applecity

You have to send 3,000 grapes 1,000 kilometers from grapecity to appleland. Your truck can carry 1,000 grapes at a time. Every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction (towards grapecity).

What is highest number of grapes you can get to appleland?

What is highest number of grapes you can get to appleland?

Hint:

Step one: First you want to make 3 trips of 1,000 grapes 333 kilometers. You will be left with 2,001 grapes and 667 kilometers to go.

Step two: Next you want to take 2 trips of 1,000 grapes 500 kilometers. You will be left with 1,000 grapes and 167 kilometers to go (you have to leave a grape behind).

Step three: Finally, you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland.

YES NO

Step two: Next you want to take 2 trips of 1,000 grapes 500 kilometers. You will be left with 1,000 grapes and 167 kilometers to go (you have to leave a grape behind).

Step three: Finally, you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland.

*Did you answer this riddle correctly?*YES NO

## Eight Balls

There are eight balls, one of which is slightly heavier than the others. You have a two-armed scale, which you are allowed to use only twice. Find the ball thats heavier.

Hint:

Put three balls on each side of the scale. If the arms are equal, you know the heavy ball is one of the two remaining. If the arms are unequal, take the three balls on the heavier side, pick two and weigh them against each other.

YES NO

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