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 Odd people (Posted on 2005-09-12)
As everyone knows, knights tell the truth all the time, and liars lie all the time. At least, this is what evenly behaved knights and liars do.

Less known is that there are also odd knights, who on odd-numbered days lie all the time. (On even-numbered days, however, they behave evenly, and tell the truth.) Also, there are odd liars, who on odd-numbered days, tell the truth about everything, while they lie the rest of the days.

Someone said: "Today's the 3rd. Trust me, I'm telling the truth. I'm odd. I didn't lie yesterday. I'm not a knight."

At first, this seemed illogical, and I thought he couldn't be either a knight or a liar, even or odd, but after a while the solution dawned on me and I found the error in my reasoning. What is he?

 Submitted by e.g. Rating: 4.4444 (9 votes) Solution: (Hide) He cannot be normal (knight or liar) for he couldn't say he isn't a knight.He cannot be odd (knight or liar) on an even day, for the same reason.Thus, it must be an odd day. But an odd knight couldn't say he was odd... so he must be an odd liar, who had laryngitis yesterday and thus didn't speak at all!

Comments: ( You must be logged in to post comments.)
 Subject Author Date Odd solution Math Man 2012-06-24 21:03:13 No Subject Terence 2005-10-06 17:33:44 re: Solution (Wrong) e.g. 2005-09-28 18:42:29 Solution Goldwing 2005-09-17 00:32:40 Solution Louise 2005-09-13 05:24:30 Who's the real liar? Leming 2005-09-12 19:05:08 re: Lisa's point Charlie 2005-09-12 17:43:48 A cop out Old Original Oskar! 2005-09-12 16:42:49 Lisa's point Federico Kereki 2005-09-12 15:51:27 re(2): a solution? Old Original Oskar! 2005-09-12 15:35:53 Analysis Federico Kereki 2005-09-12 15:30:19 re: a solution? Lisa 2005-09-12 15:28:48 a solution? Charlie 2005-09-12 14:27:26
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