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As simple as it gets (Posted on 2006-09-02) Difficulty: 3 of 5
In Tripleland, natives always go in trios: a knight, a knave, and a liar.

Once I met such a trio, and I asked one of the natives a simple question ("simple" meaning, "of six words or less"); he answered, and I knew what type he was. Then, I asked another of the natives a different simple question; he answered, and I knew what type he was, and therefore, the type of the third one too.

"Logical" thinking: This cannot be. The natives could be in six possible orders. Two yes-no questions allow four combinations. Thus, you cannot pick one out of six with only two questions; you need one more!

How could this be? What's wrong with the reasoning above?

See The Solution Submitted by Federico Kereki    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question re: Two ways | Comment 2 of 6 |
(In reply to Two ways by Charlie)

I don't get the last part... what are the questions that correspond to those answers?
  Posted by e.g. on 2006-09-02 13:06:33

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