Which box did she open and how did she know?

Question

There are three boxes. One has apples, one has oranges and the other has apples and oranges. The boxes are labeled wrong so that no label is correct. Kelly opens just one box, and without looking in the box, takes out one piece of fruit. She looks at the fruit and immediately labels all the boxes correctly.

Vinod Jetley · Answer

Kelly opened the mixed fruit box first. She knows because the fruit she pulled had a label on the box that matched the fruit that she pulled. If She knows the labels are incorrect then she would know that it was not the apple box if she pulled an apple. She would then know that the box that says mixed would be the orange box because the apple label was not available as it was on the box that she pulled the apple from. That would leave the orange label to remain on the apple box.

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Which box did she open and how did she know?

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