You have 9 balls of exactly same appearance , and one physical balance. 8 of those balls have equal weight , and rest 1 is lighter than them. What is the minimum number of weighing that you should perform using those balls only and the balance so that you can (claim) identify the lightest ball.?
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divide the 9 balls in 3 triplets. STEP 1. weigh any two triplet balls on balance.now you are sure which triplet contains the lightest ball...as if what u weighted were equal then remaining one ..else lighter of the two triplet that you weighted have that ball. STEP 2. again weigh any two balls from that lightest triplet ....and logic the same way as step 1.