Which came first, the pitch or the question?

Focus on them, not you:

The alternative is the elevator question, not the elevator pitch. To begin a conversation–not about you, but about the person you’re hoping to connect with. If you know who they are and what they want, it’s a lot more likely you can figure out if they’re a good fit for who you are and what you want. And you can take the opportunity to help them find what they need, especially if it’s not from you.

Seth Godin