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 Who Said What? (Posted on 2007-05-17)
You are in a popular tourist town in the land of Liars and Knights. You happen to overhear a conversation another tourist is having with three of the locals: Alex, Bert and Carl. Each of the three could be a knight, a knave or a liar. You know that for each question the tourist asks, Alex, Bert and Carl each give one response, but you don't know who said what. The conversation is as follows:

1. What type are each of you?
• I am a knight.
• I am a knave.
• I am a liar.
2. How many of you are the same type?
• We are all the same type.
• We are all different types.
• Exactly two of us are the same type.
3. What type is Alex?
• A knave.
• A liar.
• Different from Bert.

Can you determine which type Alex, Bert and Carl are?

 See The Solution Submitted by Brian Smith Rating: 4.5000 (4 votes)

 Subject Author Date Solution Math Man 2011-01-02 12:51:08 solution hoodat 2007-05-17 18:38:21 Comment (part spoiler) Vernon Lewis 2007-05-17 18:14:49 Reasoned out e.g. 2007-05-17 17:52:31 re: solution -- the computer way Charlie 2007-05-17 15:39:39 solution Charlie 2007-05-17 15:36:02 Solution webster726 2007-05-17 14:08:24

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