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More ways to get Braingle...

Friends and a Wallet

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#41945
Fun:*** (2.83)
Difficulty:** (1.82)
Category:Logic
Submitted By:JZumunAph***!!!

 

 

 



You and your five friends, conveniently named A, B, C, D, and E, were hanging out when you spotted a wallet on the floor. You have a poor memory, but you remember that it is owned by one of your friends.

You: Whose wallet is this?
A: That's mine.
D: You're lying, A.
C: Yeah, A, you are lying.
B: A is not lying, guys.
D: That wallet is owned by C.
E: Yeah, D is telling the truth.
B: No, E. That's your wallet.

You remember that at least 2 of your friends always tell the truth (truthtellers), while at least 2 always lie (liars).
Thanks to your memory, however, you can't remember which friend lies or tells the truth.

Can you figure out who owns the wallet?


Answer

C owns the wallet.

EXPLANATION:
B's first statement says that A is telling the truth that it is A's wallet. His second statement, however, says that it is E's wallet. The statements cannot be true at the same time, so B lied in both of them. B is a liar.

Since B was lying when he said that A is telling the truth, A is the other liar, too.

C and D are automatically truthtellers, since they both told the truth when they said A was lying. E is also a truthteller since he said that D told the truth.

Therefore, C owns the wallet.

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