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The Remaining Digits (Posted on 2005-08-04) Difficulty: 2 of 5
I have a bag containing the digits 0 through 9, and used six of them to stick two different three-digit perfect squares on the foreheads of Paul and George. Both Paul and George know this fact, but each one can see only the other's number.

I ask Paul, "How many of the digits remaining in my bag can you exactly tell me?"

Paul replies, "Three."

If I now ask the same question to George, what should he reply?

See The Solution Submitted by pcbouhid    
Rating: 4.3333 (6 votes)

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re: George's answer | Comment 2 of 20 |
(In reply to George's answer by Bob Smith)

So that actually means he only knows 3: the fourth might be either a 1 or a 7.  He doesn't know all 4.
  Posted by Charlie on 2005-08-04 18:05:10

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