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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Puzzle Answer Comment 21 of 21 |
George would reply, "four".

** I don't have sufficient time to post a detailed explanation, but I will definitely  posit the same when I do.

Edited on June 19, 2022, 3:37 am
  Posted by K Sengupta on 2022-06-19 00:15:03

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