CLASSIC PUZZLE OF THE 12 COINS
You are given a bag of 12 coins.
Your mission, should you chose to accept, is to find a way to determine if there is a fake coin in the batch of 12 coins. The biggest problem is, you do not know whether the fake coin is lighter or heavier than the genuine ones. You are given a scale to weigh the coins.
You are to determine the fake coin, if any, by weighing the coins only 3 times AND to determine whether the fake coin is heavier or lighter than the genuine ones.
Please try to solve this puzzle before checking the answers. Give yourself a pat on the back for a job well done if you manage to solve the puzzle yourself.
Even if you cannot solve this problem, don't worry too much about it. This puzzle has stumped even some of the greatest minds in history! Some of them even went on record to claim that there is no solution to the puzzle!