Weigh the coins, and find out which one is forged
Suppose you have 12 coins. One of the coins is forged. You only know that the forged coin is heavier or lighter than the other 11 ones. But you don't know if it's in fact heavier or lighter. You must find out which coin is the forged one, and whether it's heavier or lighter.
Your only helping hand is a balance, which can be used to weigh the coins. However, the balance is running low on batteries :-), so you have only 3 attempts to weigh the coins.
Summary: your task is to find the forged coin by using the balance only 3 times.