Given 12 coins among which 11 are true identical coins and 1 false coin is either lighter or heavier than a true coin-- In 3 test on lever scales find the false coin and tell if it is heavier or lighter than a true coin.-- Prove that it cannot be done in less than 3 testsGiven 12 coins among which 11 are true identical coins and 1 false coin is either lighter or heavier than a true coin-- In 3 test on lever scales find the false coin and tell if it is heavier or lighter than a true coin.-- Prove that it cannot be done in less than 3 tests