The Apples and Oranges Box | Puzzle 18

Question

There are three boxes on the table.

One box is labelled as "Apples" another box is labelled as "Oranges". The last one is labelled as "Apples and Oranges". 

The condition is you know that each box have been labelled incorrectly and you were allowed to pick only one fruit from any one box.

How can you label the boxes correctly?

Solution

You should pick fruit from the one which is labelled as "Apples & Oranges". This box must contain either only apples or only oranges. After this, the remaining two can be determined easily.

For example,  If you find an Orange from the Apples & Oranges box, then label the box Orange, then change the Apple box to "Apples & Oranges" and Oranges box to "Apples".

We changed Apple box to Apples and Oranges as we know it does not contain Apple as questions say and the Orange has already been found in another box.

Now the remaining box which is labelled as Oranges, change its name to Apples.

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