Very hard but very simple

Logic Level 2

Your granny has brought 10 bottles of 11 pills. However, one of the bottles is fake and needs to identified. The pills are identical but the obsolete pills are 0.1 grams heavier. Unfortunatly, there is only one electric scale that can only weigh one load before it dies. Is there a way to find the obsolete bottle?

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1 solution

Take 1 1 pill from first bottle, 2 2 pills from second bottle,... 10 10 pills from the tenth bottle, mix them and weigh them. If the weight be 55 + i 10 55+\frac{i}{10} grams, then the i' t h ^{th} bottle is the obsolete. See this

We need to mark the bottles first to prevent mistake.

Chew-Seong Cheong - 1 year ago

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