Question: Queens can move horizontally, vertically and diagonally any number of spaces as illustrated. One piece 'attacks' another if it moves to the same tile that the other piece is on. How can you arrange eight queens on the board so they cannot attack each other?
Hint: Four must go on black and four on white.
Answer: Here are the two solutions. This is usually solved with guess and check although using logic may be faster. We know that each queen must be in it's own row vertically and horizontally. We also know that 4 of the queens must be on white and 4 on black. This is true because with 4 queens on the same color all of the rest of that color is venerable to attack. (It could be done with math).
Question: A wise person was once sentenced to death by a king. The king couldn't decide how to execute him so he said to the wise person, you can say anything you want, if it is true, I will hang you, if it is not true I will shoot you. In the end the king released the wise man. What did the wise man say?
Answer: You will definitely shoot me.