What's the point of asking these sorts of questions? Typically to try to get a sense of how somebody thinks and what sort of rapport they have with the intervie

What's the point of asking these sorts of questions? Typically to try to get a sense of how somebody thinks and what sort of rapport they have with the interviewer while problem solving, not that they get to the "correct" answer. I think they have some utility because this is a common occurrence when dealing with clients.