I think another great question is: Can you describe to me what my first day, week, month will look like? This helps to really crystalize what they see you doing and being responsible for from the get-go.
Absolutely agree. Clarity of thought and a plan are key to look for as startups without a clear view on these things may be indicative of fuzziness on other important fronts, i.e., where is this company really going, how we are going to make money?
To this, I'd add another question if interviewing at a non-revenue generating startup -- "How will the company make money?" And you should assess how realistic this sounds. You don't need to be a VC here but it should pass your own innate b.s. filter.
But if they do answer, "We're going to have millions of users (one day in the future) and will monetize through advertising", my recommendation would be to run the other way (quickly).
