Cracking puzzle this:
You have twelve gold bars, which look identical. However one of them is the wrong mass - it could be too heavy or too light. You also have a set of scales, of the "pan balance" variety, which you can use to compare the mass of two selections of bars. You are allowed to use the scales three times. Devise a strategy which will allow you to identify the incorrect bar, and also tell me whether it is too heavy or too light.
You have twelve gold bars, which look identical. However one of them is the wrong mass - it could be too heavy or too light. You also have a set of scales, of the "pan balance" variety, which you can use to compare the mass of two selections of bars. You are allowed to use the scales three times. Devise a strategy which will allow you to identify the incorrect bar, and also tell me whether it is too heavy or too light.
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