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Question

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is

The correct answer is

2

One weighing has only three outcomes, insufficient to distinguish eight bags. Weigh three against three: the heavier bag lies in the heavier triple, or in the two left aside if balanced. One further comparison identifies it. Thus two weighings suffice and are necessary.

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