An adventurer found a locked treasure chest in a dungeon. He tracked down three brothers (each either a Liar or a Knight) one of whom has the key to open the chest.

Each made a statement:

A: I have the key to the chest.

B: I don't have the key to the chest.

C: B Doesn't have the key.

The adventurer knows that at least one of the three is a Liar, and at least one - a Knight. Who has the key?

C has the key.

If A has the key, then all of the brothers are Knights, which can't be true because at least one of them is a Liar.

If B has the key, then all of them are Liars, and we know that at least one of them is a Knight.

If C has the key, then B and C are Knights, and A is a Liar. Which works out.

Haha... these are the problems where I have a better chance of answering correctly than the others. Or at least they don't make my head spin so much. I am so lame. =)

Posted by Hazirah on 2002-08-04 00:07:08