Puzzles

12 Coins

You have 12 coins, one of which is a fake and has a different weight than the others. Using a scale (two pans) can you determine the fraud in no more than 3 uses.

5 Pirates

There are 5 pirates who must split 100 gold pieces. They use the age-old pirate tradition that the oldest pirate offers a suggestion on how to divide the gold, if the suggestion is accepted by a simple majority it is done, otherwise (even in a tie) that pirate has to walk the plank and the remaining pirates start again. What happens?