Noah and his five friends: Abner, Benny, Chaim, Diego, and Ezra, were hanging out when Noah spotted a wallet on the floor. Noah has a poor memory, but he remembered that it belonged to one of his friends.
Therefore, he decided to question his friends about it. Their responses are furnished hereunder as follows:

• Noah: Whose wallet is this?
• Abner: That's mine.
• Diego: You're lying, Abner.
• Chaim: That's right, Abner, you are lying.
• Benny: Abner is not lying, guys.
• Diego: That wallet belongs to Chaim.
• Ezra: That's right, Diego is telling the truth.
• Benny: No, Ezra. That's your wallet.

Noah remembers that at least 2 of his friends are Knights, who always tell the truth, while at least 2 are Liars, who always speak falsely.
Unfortunately, Noah cannot remember which of his 5 friends are Knights and which are Liars.

Determine the types of the five friends. Who owns the wallet?

Benny's statements are contradictory, so Benny is a liar.  This makes Abner a liar, and Chaim, Diego, and Ezra knights.  By Diego's statement, the wallet belongs to Chaim.

Posted by hoodat on 2022-12-26 15:41:52