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Who Said What? (Posted on 2007-05-17) Difficulty: 3 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Comment (part spoiler) | Comment 5 of 7 |
3 locals and none of them can be trusted.
I agree with previous posters logic.
Excellent problem Thanks Brian.

  Posted by Vernon Lewis on 2007-05-17 18:14:49
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