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 An Identity Problem (Posted on 2006-08-17)
Four inhabitants of the island make the statements as given below. Each of these inhabitants are either Liars or Knights. Little is known regarding the identity of the four inhabitants except for the fact that Q and R are not both Knights.

P's Statement: If asked, Q would say that he and S belong to the same group.

Q's Statement: If asked, S would say that he and P do not belong to the same group.

R's Statement: P and myself belong to the same group..

S's Statement: If asked, P would say that he and R do not belong to the same group.

To what group or groups do the four speakers belong?

 Submitted by K Sengupta Rating: 3.5000 (2 votes) Solution: (Hide) P and S are Knights. Q and R are Liars. EXPLANATION: Dave's methodology is provided in this location.

 Subject Author Date P's and Q's Math Man 2011-04-01 21:32:49 Sol Andre 2010-05-28 18:43:10 Solution Dave 2006-08-21 10:27:00 re(2): Q's and R's Stefanie 2006-08-18 09:22:17 re: Q's and R's Stefanie 2006-08-18 09:20:53 simplified solution Ady TZIDON 2006-08-18 04:51:00 Q's and R's Allen 2006-08-18 00:27:28 re: Quick Old Original Oskar! 2006-08-17 22:22:56 Quick Federico Kereki 2006-08-17 18:00:08 Minding the P's and Q's (and R's and S's)...[a solution] Dej Mar 2006-08-17 14:01:32 My Translation Stefanie 2006-08-17 13:42:55

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