Brain teaser # 6

[nate]

You have three boxes of fruit. One contains just apples, one contains just oranges, and one contains a mixture of both. Each box is labeled. One say apples, one says oranges, and one says apples and oranges. It is known that none of the boxes are labeled correctly. How can you label the boxes correctly if you are only allowed to take and look at just one piece of fruit from just one of the boxes?.

[Guy]

You take a fruit out of the one labeled as "apples and oranges" and look at it. It will either be an apple or an orange, indicating the full contents of that box (it can't be the mixed box because the labels are known wrong). If it is an apple, label the box "apples". Now since the two remaining boxes also have to be incorrectly labeled, the one labeled "oranges" can't have oranges, so label it as "apples and oranges", and the one that was labeled "apples" is now relabled as "oranges".

If the pick from the "apples and oranges" instead shows an orange, then label that one as "oranges", and now the one that was labeled "apples" cannot have apples, has to be relabeled "apples and oranges" , and the one has "oranges" on it is thus relabeled "apples".

[nate]

You got it amigo.I think my next one will stump everyone, even brainy Carl. I didn't even know where to begin with teaser#7.