Puzzle: Guess What I’m Thinking!

7 09 2011

I’m thinking one of numbers 1, 2, or 3.  I’ll truthfully answer with “yes” or “no” to one question, provided that the question can be so answered.  You want to know the number I’m thinking; what will you ask?

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2 responses

20 10 2011
pfilo

The problem statement calls for a third state where the question cannot be answered truthfully, like “Is 1/(N-2) positive ?”

20 10 2011
rlankine

I now notice that I have never given the solution to this puzzle so thanks a lot for your comment, pfilo.

Your answer is correct and elegant. However, there are other correct answers as well. My original answer would have been: “I’m thinking of an odd integer. Does the number (1, 2, or 3) that you are thinking divide it exactly?”

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