The first one is a question about a question:
“Before I answer that, may I ask you for a little more information?”
During the interview you may be asked a question you aren’t sure how to answer because you aren’t familiar with the context, or aren’t clear what the interviewer is looking for. Asking for clarification can enable you to give a much better response.
Just be prepared for the slight possibility of hearing “No, I’d like you to answer it just as I asked it.”
Another very powerful question is about yourself as a candidate.
“Now that we’ve talked a while, what do you see as my greatest strengths for this position? And on the other hand, do you have any concerns?”
The answer may provide valuable insights. What positives you can build upon in the second interview or followup communication? What weak impression might you correct?
Similar questions include “How do I compare to the competition?” or “Is there any reason why you would not offer me this job?”
Knowledge is power. The knowledge you gain from asking questions can give you the power to make the best possible case for your hire.