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 The Race (Posted on 2003-08-02)
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).

 Submitted by Lewis Rating: 3.2000 (5 votes) Solution: (Hide) The judges answers don't match, so he is a Liar, therefore we know neither Bert nor Coby won. Then, all you have to do is match the statements up. The original statements were: Alex - I won. Bert - Alex won. Coby - Dave won. Dave - I came 3rd. Ed - I won. And the second statements were: Runner a - Dave won. Runner b - I won. Runner c - I didn't win. Runner d - I came 4th. Runner e - Bert won. Runners b,c & d can be matched to Alex, Dave and Ed, although we cannot be sure which each said. Runners a and e can then be matched to Coby and Bert. We know that Coby couldn't have said 'Dave won' twice, so runner A must be Bert and runner E must be Coby. Coby's second statement was 'Bert won', which we know is a lie. So, his first statement, 'Dave won' must be true. So the winner of the race was Dave, who was runner B.

 Subject Author Date Hmmmm. Jefflol 2005-12-18 22:47:59 re(3): Noodle bake Lewis 2003-08-03 22:26:45 re(2): Noodle bake DJ 2003-08-03 16:39:08 re: Noodle bake Lewis 2003-08-03 09:05:06 Noodle bake Mr. Spock 2003-08-03 07:49:50 re(2): I disagree ... Bryan 2003-08-02 18:18:08 re: I disagree ... Brian Wainscott 2003-08-02 15:51:04 I disagree ... Bryan 2003-08-02 13:53:44 re(2): Is it this simple or am I misinterpreting the rules? Charlie 2003-08-02 09:21:51 re: Is it this simple or am I misinterpreting the rules? Lewis 2003-08-02 07:43:04 Is it this simple or am I misinterpreting the rules? Charlie 2003-08-02 05:17:49

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