Why even ask it. My method is find the org chart depth with log_1.5(company size). Then divide that number by 1/2 execs, 1/2 managers. Guess the roles then go look at random people on linked-in. You can get a good feel for how the company is internally based on that.

It's easy enough to skip the question altogether and do a quick google search on the people with whom you would be working.