This post will probably appeal to Sparling and Luke. Maybe others will enjoy this too. I'll post the answer next week.
You have twelve coins, one of which is a fake. It is a fake because it weighs more or less than the other eleven coins. (You do not know whether it weighs more, or less.) You have a very old balance that indicates, when coins are placed on each of the two platters, which set of coins is heavier.
(easy) Can you find the fake coin?
(more difficult) Can you find the fake coin in three weighings?
If you cheat and find the answer on the Internet, shame on you!
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