There are 3 baskets. one of them have apples, one has oranges only and the other has mixture of apples and oranges. The labels on their baskets always lie. (i.e. if the label says oranges, you are sure that it doesn’t have oranges only,it could be a mixture) The task is to pick one basket and pick only one fruit from it and then correctly label all the three baskets.

Puzzle:

There are 3 baskets. one of them have apples, one has oranges only and the other has mixture of apples and oranges. The labels on their baskets always lie. (i.e. if the label says oranges, you are sure that it doesn’t have oranges only,it could be a mixture) The task is to pick one
basket and pick only one fruit from it and then correctly label all the three baskets.

Solution :

Take one fruit from box with label mixture. If we see orange, because the basket lies (it cant have a mixture), then it has only oranges. The other 2 are labeled apples and oranges. The one labeled apples, cannot have oranges inside, cos they are allready been identified, and because it lies, it cannot have apples either. So it has a mixture. And we are left with the one labelled oranges that lies and has apples.