Logic
# Truth-Tellers and Liars

There are two men. One of them is wearing a red shirt, and the other is wearing a blue shirt. The two men are named Andrew and Bob, but we do not know which is Andrew and which is Bob.

The guy in the blue shirt says, “I am Andrew.”

The guy in the red shirt says, “I am Bob.”

If we know that at least one of them lied, then what color shirt is Andrew wearing?

There are three boxes, but only one of them has gold inside. Additionally, each box has a message printed on it. One of these messages is true and the other two are lies.

The first box says, "The gold is not here."

The second box says, "The gold is not here."

The third box says, "The gold is in the second box."

Which box contains the gold?

- Exactly one statement on this list is false.
- Exactly two statements on this list are false.
- Exactly three statements on this list are false.
- Exactly four statements on this list are false.
- Exactly five statements on this list are false.
- Exactly six statements on this list are false.
- Exactly seven statements on this list are false.
- Exactly eight statements on this list are false.
- Exactly nine statements on this list are false.
- Exactly ten statements on this list are false.

How many statements from the above list are false?

There are 3 friends named A, B, and C. One of them is the Knight who always tells the truth, one is the Knave who always lies, and one is the Jester who can tell the truth as well as lie.

One day in the king's court, the three friends have a conversation.

A says, "I am not the Knave."

B says, "I am the Knave."

C says, "I am not the Knave."

Who is the Jester?

Three identical boxes contain donuts, bagels or both. A label is put onto each of the boxes. The three labels correctly describe the three boxes, but none of the labels is on the correct box.

Box 1 is labeled, "Bagels"

Box 2 is labeled, "Donuts"

Box 3 is labeled, "Bagels and Donuts"

Lil' John reaches into Box 3 and takes out a donut. Which box only contains bagels?