I look to devise questions to challenge but not embarres the interviewer. More or less I take the same questions I ask potential candidates and revise it to suit the situation of looking at a new company.
Good luck on you interview.
Here is some questions, I usually ask prospective candidates.
* "Describe your greatest on the job accomplishment."
* What have you done to make your job or your area more efficient or effective?
* Tell me about a situation where you had to come up with a creative solution to a difficult problem. Where did the creative idea come from?
* Describe a time when you took the initiative to improve a situation/fix a problem.
* Tell me about a time when you have had to get something done by leading others.
* "What do you consider to be your three greatest weaknesses?"
* "Describe your greatest on the job failure."
* Tell me about a tough decision you had to make. How did you go about making it? What did you do to help you decide? What was the outcome? Would you make the same decision now?
* Tell me about a time when you have had a major setback.
* Tell me about a problem that required a lot of analysis. How did you gather information? What alternatives did you consider? Which one did you select? What was the outcome?
* Think of a time when you were under pressure. How did you approach it?
* Tell me about a time when you received criticism for something you did.
* Give me an example of when you had very tedious or boring work to do.
* Are you better at looking at the big picture or attending to the details? Give me an example.
* What motivates you the most?
* "Why do you think that you are qualified for this position."
* "If I hire you, what performance can I expect to see?"
* "Describe your ideal job."
* "How do you see yourself fitting in at our company?
* "What concerns do you have about (fitting in) this job?