There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit. By looking at the fruit, you can immediately label all of the boxes correctly. Which box did you open? Containing apple Containing oranges Containing both apples and oranges Cannot be determined

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taulejadacnf · Accepted Answer

The &quot;apples and oranges&quot; package is the one that has to be opened. By definition, the only sort of fruit in that box is the one that is inside. If you discover one apple in the box that was marked with both apples and oranges and you know that it must therefore only contain apples, you come to the conclusion that the box marked &quot;oranges&quot; cannot contain only oranges because it has been said that all boxes are incorrectly labeled. Therefore, the &quot;oranges&quot; box must include both apples and oranges, but the &quot;apples&quot; box can only contain oranges.So answer is Containing both apples and oranges

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