"Product management is a weird discipline full of oddballs and rejects that never quite fit in anywhere else. For my part, I loved the technical challenges of engineering but despised the coding. I liked solving problems, but I hated having other people tell me what to do. I wanted to be a part of the strategic decisions, I wanted to own the product. Marketing appealed to my creativity, but I knew I'd dislike being too far away from the technology. Engineers respected me, but knew my heart was elsewhere and generally thought I was too "marketing-ish." People like me naturally gravitate to product management."

I've been toying with the idea that I'm cut out to be a product manager and this just convinced me.

Also this:

"In fact, that's the first test - how do they react when I say 'I'd like to pose some theoretical problems, is that okay?' The best of the bunch are usually bouncing out of their chairs with excitement. The super smart sometimes counter with questions of their own."

Asking me this alone would make me substantially more interested in the job.