Twelve Coins

You have 12 coins all look identical (in shape, color etc.). All of them have same weight except one defective coin. You don’t know that the defective one is heavier or lighter than other coins. You can use a two sided balance system (not the electronic one What is the minimum number of times you will need to use the balance (and how would you do it) to determine:

  • Which coin is the fake and
  • Is the fake coin heavier or lighter than the rest?

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