Personality Question:

It's a question that asks for a creative response. It's an invitation to the candidate to play the game and see where it goes without worrying about the right answer. By playing along, it tells me a lot about the character, imagination, and inventiveness of the person.
The question, as obtuse as it might sound to the interviewee, is the beginning of a story and in today's world of selling oneself, or one's company, it's the ability to tell a story and create a feeling that sells the brand--whether it's a product or a person.
The way they look at me when the question is asked also tells me something about their like-ability. If they act defensive, look uncomfortable, and pause longer than a few seconds, it tells me they probably take things too literally and are not broad thinkers. In our business we need broad thinkers.