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Four Perfect Logicians (Posted on 2002-09-24) Difficulty: 4 of 5
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?

  • See The Solution Submitted by Chris Middlemiss    
    Rating: 3.6154 (13 votes)

    Comments: ( You must be logged in to post comments.)
      Subject Author Date
    SolutionPuzzle SolutionK Sengupta2008-12-17 06:07:25
    AnswerK Sengupta2008-03-15 05:15:53
    Some ThoughtsI think...Assaf2007-02-28 08:15:56
    Hints/Tipssolutionaxf2007-02-12 09:44:48
    Not a solution, more like a questionJoel2006-04-18 18:02:27
    Possible solution... but still sketchyAlexis2005-10-30 10:47:35
    SolutionSolutionAndrew Mitchell2003-07-30 03:02:29
    SolDark2003-06-09 09:27:31
    re(2): A different approachEric2003-04-07 13:02:38
    re: can't be solvedTomM2002-12-05 06:10:21
    re: A different approachfrancis2002-12-04 21:46:38
    can't be solveddrew2002-12-04 12:56:08
    Too many answersMilo2002-12-01 18:16:53
    SolutionNo Subjectdanny2002-11-04 14:40:17
    Solutioneliminate the optionsChaz2002-10-18 10:38:56
    Some ThoughtsNo SubjectChuck Bruce2002-10-18 03:50:51
    Solution ?John2002-10-18 01:07:41
    First Time Here - Will give it a tryStephanie2002-10-16 09:38:06
    SolutionIs this the answer?Chuck Bruce2002-10-15 10:42:17
    Is this the answer?Chuck Bruce2002-10-15 10:38:21
    Dont know if this is right.........Matt2002-10-04 07:17:46
    re: new viewTomM2002-10-01 19:11:16
    new viewAl Harmon2002-10-01 13:55:53
    re(2): equivalentCheradenine2002-09-25 08:15:34
    re: equivalentTomM2002-09-25 05:13:34
    equivalentCheradenine2002-09-25 03:30:33
    SolutionA different approachTomM2002-09-24 19:08:30
    Some ThoughtsI don't know if this is itNick Reed2002-09-24 12:32:23
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