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 Who has the key? (Posted on 2002-05-17)
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.

• 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?

•  Submitted by levik Rating: 2.9375 (16 votes) Solution: (Hide) If A had the key, he would be a Knight, but so would B and C. Since at least one of the three is a Liar, this cannot be. If B had the key, all three turn out to be Liars, and that is also impossible, since at least one is a Knight. Thus, it's C who has the key, making both him and B Knights, and A a Liar.

 Subject Author Date Explanation to Puzzle Answer K Sengupta 2022-06-09 23:01:33 Puzzle Answer K Sengupta 2022-06-08 13:34:06 Answer Math Man 2020-03-14 21:01:43 Sol Andre 2010-06-04 17:13:15 Solution Praneeth 2007-08-29 02:53:24 Puzzle Solution K Sengupta 2007-03-18 04:12:45 Solution Chance 2006-06-01 21:17:57 Answer in the key of C... Patrick 2005-05-13 17:34:15 Solution Stephen Ticsay 2005-04-15 01:39:34 please ignore FatBoy 2003-10-03 12:02:11 Solution Lewis 2003-05-30 11:48:53 DJ,I just... ...wanted to... ...do it because... ...of so and so. OOOOOOOOOKKKKKKKKK? AGREEMENT? Tim Axoy 2003-04-14 02:36:57 i know the answer Jonathan 2003-03-26 06:52:41 re: The key to -- DJ 2003-03-22 17:50:35 The key to C Tim Axoy 2003-03-22 02:33:36 aha Hazirah 2002-08-04 00:07:08 i got it marty 2002-05-22 22:41:50 Solution Ender 2002-05-17 07:13:04 My Solution TomM 2002-05-17 07:12:48

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