Logic
# Truth-Tellers and Liars

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?

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?

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?

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