Tycoon is derived from Japanese. They may have borrowed both the characters and the pronunciation, but it is still derived from Japanese, not Chinese. As for ketchup, that is disputed; I had always thought that it was from the Malay, but you can make a case that it came from Chinese.
In addition to the other comments, consider changing feng shui's prompt from "Chinese metaphysics" to "Chinese geomancy" or another clue. Metaphysics is a field of philosophy and really has nothing to do with what feng shui is about.