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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: ( Back to comment list | You must be logged in to post comments.)
    First Time Here - Will give it a try | Comment 11 of 28 |
    OK, Alonso wouldn't have asked Bertrand the question if he had only eaten one apple.

    Bertrand couldn't have eaten only one or he would have answered no, same is true of George. George would have known that Bertrand had to have at least two apples because of his answer so therefore George would have had eaten at least 3.

    So my guess will be:
    Alonso - 2
    Bertand - 2
    George - 3
    Kurt - 4
      Posted by Stephanie on 2002-10-16 09:38:06
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