The three logicians are back. Just like before, they are given each a letter, so that nobody has the same letter, each logician can only see his own letter, and so that their letters can form one of the following words:

NET, CAT, MEN, DRY, MAN, RUN

They answer "Do you know which word can be spelled by your letters?" again, but this time say their answers at the same time, such that they can hear everyone's answers for the following questions, but not for the current one.

First time: All say No.
Second time: All say No.
Third time: All say Yes.

What word do their letters spell?

Well i haven't seen any of the previous 3man problems, and when I first looked at this I was thinking HOW THE HECK can I do this......click(a flash of light above my head), Oh I see.

C-D-U-Y each only appear in one word, and if anyone one of these guys had it they would have said yes on their first answer so that rules out the following words

RUN DRY CAT, and leaves NET MEN MAN

again using the same logic as above if either man had A or T they would have said yes the second time.

which rules out NET and MAN, leaving MEN to which the MEN respond yes.

 

 

Posted by gabbo on 2004-09-15 23:11:29