perplexus.info :: Liars and Knights : Knights,liars,and knaves

Knights,liars,and knaves (Posted on 2003-05-26)

Knights always tell the truth,liars always lie,and knaves alternate between truths and lies.

Suppose you ask a native,"Are you a knight,a liar,or a knave?" The native answers,and you are able to figure out what he is.

What is the native?

Submitted by Tim Axoy

Rating: 3.0000 (12 votes)

Solution: (Hide)

Here are three cases.
1:He says he is a knight.
He could be a knight,a liar,or a knave.
2:He says he is a liar.
He could only be a knave.
3:He says he is a knave.
He could be a liar or a knave,but not a knight.
Since you are given enough information,2 is the one,and so the native is a knave.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Knights	Math Man	2011-06-17 22:53:42
Sol	Andre	2010-06-04 18:07:22
Puzzle Solution	K Sengupta	2008-07-06 07:02:24
answer	K Sengupta	2008-02-14 14:58:19
Solution	Praneeth	2007-08-24 03:36:07
answer	Libby	2005-08-08 00:56:52
The Answer	Chris, Phd	2004-12-19 03:17:22
No Subject	ktii	2004-08-30 04:32:13
No Subject	Sheets	2003-10-13 07:51:20
re: You did it!	Lewis	2003-06-03 06:37:50
You did it!	Tim Axoy	2003-05-27 11:26:28
Solution Plus	Jayaram S	2003-05-26 19:06:40
solution	Lewis	2003-05-26 11:59:18
Solution	Trevor Leitch	2003-05-26 06:43:55

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