You have 23 cubes of sugar. How can you put them all in two cups of coffee so that each cup of coffee has an odd number of sugar cubes in it (you can't break the cubes, although that wouldn't help).
After much deliberation and frustration by the class, she gave us the answer. She said, "Put 22 cubes in one cup and one cube in the other."
When we all protested that 22 is an even number, she calmly replied, "But isn't 22 an odd number of sugar cubes to put in a cup of coffee?"