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?

(In reply to Conditional solution by Avinash Narain)

Avinash, I donīt think that 049 and 081 are 3-digit numbers!

Posted by pcbouhid on 2005-08-08 11:04:54