Here are more aggressive/direct questions:

☛ Ask for feedback - do they think your background would be a good fit?

☛ Do they think you qualify for the next hiring process?

☛ You may also ask if there's anything else you can do to present your skills for the job.

☛ Ask the interviewer for a business card or contact details.

☛ Ask if you may call or when they will call you.

☛ Share you thoughts - you believe that this is an ideal place for you.