Three Boxes Are Labeled Apples, Oranges, and Both — Every Label Is Wrong

This logic puzzle gives you three boxes labeled “Apples,” “Oranges,” and “Both.” Every label is wrong. You may take one fruit from only one box. Which box should you open first?

Open the box labeled “Both.”

Because every label is wrong, that box cannot actually contain both fruits. It must contain only apples or only oranges. Pull out one fruit. If you draw an apple, that box must be the apples-only box. If you draw an orange, it must be the oranges-only box.

Once that box is identified, the other two can be solved using the rule that their labels are also wrong. The key is choosing the “Both” box first because one fruit from it immediately tells you exactly what that entire box contains.

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