### Fun Facts (Hints)

Here are a few facts about logical thinking. They may be able to help you in solving a few of these riddles:
Logic has a few definitions, but is most known as the study of reasoning.
Logic is used everyday in areas like mathematics, computers, and philosophy.
The word logic is derived from the Greek word "logos."
The creation of the study of logic is often attributed to Aristotle.
Aristotle's study of logic has had a tremendous impact on the history of the world.

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Riddles and Answers © 2018

## Switch Or Stick Riddle

There are three doors: Door 1, Door 2, and Door 3. Behind one of these doors lies eternal bliss, but behind the others lies eternal despair. You are allowed to choose any door, and you pick Door 1. Suddenly, Door 3 is swung open and revealed to be despair! You are give another choice: you may stick with the door you chose (1) or switch to the other (2). What should you do?

Hint:

The answer may surprise you: switch. Due to something called the Monty Hall Paradox, you will statistically have a better chance of making the "correct" choice. The concept is as follows:

Door 1 Door 2 Door 3

All have an equal chance to be correct:

Door 1: 1/3 Door 2: 1/3 Door 3: 1/3

After choosing Door 1, the remaining two have a 2/3 chance of containing the right choice:

Door1: 1/3 Doors 2 3: 2/3

If Door 3 is removed, the probability does not shift to 50:50. Instead, it is:

Door 1: 1/3 Door 2: 2/3

Thus, you should switch.

YES NO

Door 1 Door 2 Door 3

All have an equal chance to be correct:

Door 1: 1/3 Door 2: 1/3 Door 3: 1/3

After choosing Door 1, the remaining two have a 2/3 chance of containing the right choice:

Door1: 1/3 Doors 2 3: 2/3

If Door 3 is removed, the probability does not shift to 50:50. Instead, it is:

Door 1: 1/3 Door 2: 2/3

Thus, you should switch.

*Did you answer this riddle correctly?*YES NO

## Condemned To Death Riddle

A murderer is condemned to death.

He has to choose between three rooms.

-The first is full of raging fires

-The second is full of assassins with loaded guns

-The third is full of lions that havent eaten in 3 years.

Which room is safest for him?

He has to choose between three rooms.

-The first is full of raging fires

-The second is full of assassins with loaded guns

-The third is full of lions that havent eaten in 3 years.

Which room is safest for him?

Hint: When's the last time you ate?

The 3rd one because the lions should have died after not eating for 3 years.

YES NO

*Did you answer this riddle correctly?*YES NO

## Doorway To Heaven

You die then you find yourself in limbo, and you see two doors. One of them leads you to hell and the other one heaven. They are being guarded by two guardians. The guardian guarding the doorway to heaven always tells the truth and the guardian guarding the doorway to hell always lies. What is the one question you will ask to either of the guardians to find out which door will lead you to heaven?

Hint:

If I asked the other guardian which door leads to heaven, what would he tell me?

YES NO

*Did you answer this riddle correctly?*YES NO

## Prohibited Chess Riddle

Hint:

## 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

*Did you answer this riddle correctly?*YES NO

## 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

## Boxes Of Balls Riddle

The first box has two white balls. The second box has two black balls. The third box has a white and a black ball.

Boxes are labeled but all labels are wrong!

You are allowed to open one box, pick one ball at random, see its color and put it back into the box, without seeing the color of the other ball.

How many such operations are necessary to correctly label the boxes?

Boxes are labeled but all labels are wrong!

You are allowed to open one box, pick one ball at random, see its color and put it back into the box, without seeing the color of the other ball.

How many such operations are necessary to correctly label the boxes?

Hint:

Just One!

Because we know all labels are wrong.

So the BW box must be either BB or WW. Selecting one ball from BW will let you know which.

And the other two boxes can then be worked out logically.

YES NO

Because we know all labels are wrong.

So the BW box must be either BB or WW. Selecting one ball from BW will let you know which.

And the other two boxes can then be worked out logically.

*Did you answer this riddle correctly?*YES NO

## Soldiers On The River

A detachment of soldiers must cross a river. The bridge is broken, the river is deep. What to do? Suddenly the officer-in-charge spots two boys playing in a rowboat by the shore. The boat is so tiny, however, that it can only hold 2 boys or 1 soldier. Still - all the soldiers succeed in crossing the river in the boat. How?

Hint:

First the boys cross the river. One stays ashore while the other brings the boat to the soldiers. A soldier takes the boat back across and the boy that stayed before brings the boat back and picks up the other boy. The boat takes the two boys back and one remains while the other boy returns the boat to the soldiers. This is repeated until all of the soldiers are on the opposite side of the river.

YES NO

*Did you answer this riddle correctly?*YES NO

## Stolen Apple Riddle

Mrs. Stotch is a fifth grade teacher. One of her students took her apple. Mrs. Stotch has narrowed the suspects down to Billy, Paige, and Tyler. Each of the students give these statements:

Billy: I didnt do it.

Paige: I didnt do it.

Tyler: Paige did it!

Mrs. Stotch knows that only one of the kids is telling the truth. Who is telling the truth and who took the apple?

Billy: I didnt do it.

Paige: I didnt do it.

Tyler: Paige did it!

Mrs. Stotch knows that only one of the kids is telling the truth. Who is telling the truth and who took the apple?

Hint:

Billy did it. Paige is telling the truth so she didnt do it. Tyler is lying so he reinforces that Paige didnt do it. Billy is lying so he did it.

YES NO

*Did you answer this riddle correctly?*YES NO

## 4 Men Camping Riddle

4 men went camping. They decided to go for a hike. They brought one umbrella but when they came back to the camp. None of their clothes are wet. How did it not get wet?

Hint:

## Post Your Logic Riddles Below

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