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Home > Logic > Liars and Knights
The Race (Posted on 2003-08-02) Difficulty: 3 of 5
An annual knave (someone who alternates between truth and lie) race was held in Knavesville. There was one judge, who was either a knight or a liar, and all of the racers were knaves. After the race a news team asked the top five finishers and the judge who won. These were their answers:

Alex - I won.
Bert - Alex won.
Coby - Dave won.
Dave - I came 3rd.
Ed - I won.
Judge - Bert won.

Confused, they asked them all again, but their names all got lost, so the order is muddled up.

Runner a - Dave won.
Runner b - I won.
Runner c - I didn't win.
Runner d - I came 4th.
Runner e - Bert won.
Judge - Coby won.

Can you work out who won? (Assuming each individual's comments were similar, i.e. both of their comments would suggest that a certain person won, or their own position).

See The Solution Submitted by Lewis    
Rating: 3.2000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): I disagree ... | Comment 6 of 11 |
(In reply to re: I disagree ... by Brian Wainscott)

I really didn't understand the statement about the assumption the first time I read it, but thanks to your comment, it makes sense now. I have a natural tendency not to make such assumptions when solving puzzles, and I guess that's why it made no sense at first.
  Posted by Bryan on 2003-08-02 18:18:08

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