Following are some pertinent questions:
What do you think about the future of the industry?
How do you face your competition?
What are your plans for the next five years?
Where do you stand in the industry?
Why this position is vacant? -- This question may help you gauge the potential of the company and your chances for growth.
What happened to the person who held the job previously?
What type of skills you don't have already onboard and thinking of filling the position by new person? Asking about the workers and their role in your department may throw light on the company's culture and hierarchy.
How does your department fit into the structure of the company?
What are the career opportunities in the department you are joining?
How do you rate the contribution of the department?
What do you expect from your group/division/department? This question gives you an idea of the job's responsibilities to avoid any confusion later and at the same time gives you clear understanding of your responsibilities.
What do expect from the candidate being hired for the position?
What is the progress of the persons who have previously held this position?
Can you describe a typical client I would be dealing with? This question gives you an idea as to how and when you will be evaluated.
What are the immediate issues I have to address?
What do you expect from me during my first year with you?
How I will be evaluated and how often?
What is the post-interview process?
