Seems like there are two distinct type of questions in the list. The first are math-based and seem to have real value, like this one from amazon: "If you had 5,623 participants in a tournament, how many games would need to be played to determine the winner?" The rest (in significant portions) fall in the more philosophical "how would you move mount fuji". I've never been asked this type of question, I hope I never am…
Those questions can show you if someone is willing to call out an interviewer for asking a stupid question. I doubt the people asking these kinds of questions are looking for that sort of answer however.