Dependent on your Board at the affiliate level. You can count on operations, HR, Development, Grant, and programmatic related questions. If your organization also does advocacy, you'll be required to provide info related to your advocacy efforts.
I applied in-person. The process took 2 weeks. I interviewed at Susan G. Komen (Lexington-Fayette, KY) in Jul 2010
Interview
Board members will perform interviews, although they are not qualified to do the interview. So spew stats and they will think you're amazing. Do research on Komen corporate and who the President is and who is currently in charge. Know who Nancy Brinker is and who her sister was. How long she fought her battle with breast cancer and how much money has been raised to date. Know the last three race profits and you're in!