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# Gold in a Box

Puzzle:

We have two closed boxes with a label on each one. Label A on box A: "The label on box B is true and the gold is in box A" Label B on box B: "The label on box A is false and the gold is in box A" We don't know if the labels (one or both of them) are true or false. Knowing FOR SURE that the gold is in box A or in box B, where's the gold?

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Solution:

The Gold is in box B.

Lets assume that label A is true. This means that label B is also true and the gold is in box A. In this case, the label A is false. This CAN'T be, because we assumed that the label A is true. Thus, our first assumption is invalid. So now we know that label A is lying. This leads us to two cases: (1) The label B is false. (2) The gold is in box B (now that we know that it cant be in box A). If (1) was true, then the gold is in box B or label A is true - which can't be because we know that label A is lying. So in BOTH CASES the gold IS IN BOX B