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 Four Perfect Logicians (Posted on 2002-09-24)
Four perfect logicians, who all knew each other from being members of the Perfect Logician's Club, sat around a table that had a dish with 11 apples in it. The chat was intense, and they ended up eating all of the apples. Everybody had at least one apple, and everyone knew that fact, and each logician knew the number of apples that he ate. They didn't know how many apples each of the other ate, though.

They agreed to ask only questions that they didn't know the answers to.

• Alonso: Did you eat more apples that I did, Bertrand?
• Bertrand: I don't know. Did you, George, eat more apples than I did?
• George: I don't know.
• Kurt: Aha!!

Kurt figured out how many apples each person ate. Can you do the same?

•  Submitted by Chris Middlemiss Rating: 3.6154 (13 votes) Solution: (Hide) Alonso ate 1, Bertrand ate 2, George had 3 and Kurt ate the remaining 5 apples. A few full solutions are presented in the comments for this problem.

 Subject Author Date Puzzle Solution K Sengupta 2008-12-17 06:07:25 Answer K Sengupta 2008-03-15 05:15:53 I think... Assaf 2007-02-28 08:15:56 solution axf 2007-02-12 09:44:48 Not a solution, more like a question Joel 2006-04-18 18:02:27 Possible solution... but still sketchy Alexis 2005-10-30 10:47:35 Solution Andrew Mitchell 2003-07-30 03:02:29 Sol Dark 2003-06-09 09:27:31 re(2): A different approach Eric 2003-04-07 13:02:38 re: can't be solved TomM 2002-12-05 06:10:21 re: A different approach francis 2002-12-04 21:46:38 can't be solved drew 2002-12-04 12:56:08 Too many answers Milo 2002-12-01 18:16:53 No Subject danny 2002-11-04 14:40:17 eliminate the options Chaz 2002-10-18 10:38:56 No Subject Chuck Bruce 2002-10-18 03:50:51 Solution ? John 2002-10-18 01:07:41 First Time Here - Will give it a try Stephanie 2002-10-16 09:38:06 Is this the answer? Chuck Bruce 2002-10-15 10:42:17 Is this the answer? Chuck Bruce 2002-10-15 10:38:21 Dont know if this is right......... Matt 2002-10-04 07:17:46 re: new view TomM 2002-10-01 19:11:16 new view Al Harmon 2002-10-01 13:55:53 re(2): equivalent Cheradenine 2002-09-25 08:15:34 re: equivalent TomM 2002-09-25 05:13:34 equivalent Cheradenine 2002-09-25 03:30:33 A different approach TomM 2002-09-24 19:08:30 I don't know if this is it Nick Reed 2002-09-24 12:32:23

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