I agree with the person who said to give them a healthy grilling; ask about the specifics of the D2D - because that crap is the 80% if you do get hired.

Here are a few I have asked - with varied success - specific wording of the question left up to you:

1) Why didn't you hire this role internally? No qualified candidates/promotable?
2) What are the 2 (or 3 etc) professional traits that make a person successful in this company, and why?
3) Give me an example of how a large (department, organization, etc) decision was made. What was the process / operating rhythm to make that decision (sometimes you can actually "pick a decision" that had been previously discussed within the interview).