Puzzles to Puzzle You 1. Apples or Oranges? You work at a fruit factory. There are 3 crates in front of you. One crate contains only apples. One crate contains only oranges. The other crate contains both apples and oranges. Each crate is labeled. One reads "apples", one reads "oranges", and one reads "apples and oranges". But the labeling machine has gone crazy and is now labeling all boxes incorrectly. If you can only take out and look at just one of the pieces of fruit from just one of the crates, how can you label ALL of the crates correctly? Ans: Take a piece of fruit from the "apples and oranges" crate. If it's an apple then you know that is the "apples" crate since ALL THE CRATES ARE LABELED INCORRECTLY. This means the crate marked "apples" must be "oranges" and the crate marked "oranges" must be "apples and oranges". 2. True or False? A man is caught on the King's property. He is brought before the King to be punished. The King says, "You must give me a statement. If it is true, you will be killed by lions. If it is false, you will be killed by the trampling of wild buffalo." But in the end, the King has to let the man go. What was the man's statement? Ans: "I will be killed by the trampling of wild buffalo." If you think about it carefully: the King can't say it is true, because if so the man should be killed by the lions. But if he is killed by the lions, then his statement would be false, and so should have been trampled by buffalo. So the King can't tell if it is a lie or truth, so decides to just let him go. 3. Jamshed was looking through the family photograph album, which has a photo of each of his parents, each of his grandparents, all the way up to each of his great-great-great-grandparents. How many photos is that? Ans: 2 parents, 4 grandparents, 8 great-grandparents, 16 great-great-grandparents, 32 great-great-great-grandparents. So 62 photos in all.