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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.

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

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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