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Who has the key? (Posted on 2002-05-17) Difficulty: 2 of 5
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?

  • See The Solution Submitted by levik    
    Rating: 2.9375 (16 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    Solution please ignore | Comment 10 of 19 |
    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
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