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?

B and C made the same statement so they must have the same inclination (both liars or both KNights)

the puzzle specifies that there is at least one of each type so A must be the opposite

If A were telling the truth then all the statements would be true so A must be a liar therefore B and C must be Knights

Since a is a liar he does not have the key
since B is a knight he does not have the key
so C has the key
Edited on October 3, 2003, 12:05 pm

Posted by FatBoy on 2003-10-03 12:02:11