The company/interview pilots want to see if you fit in their group.
If you are a single pilot flying part 91, demonstrate your CRM and decision making prowess by declaring the emergency with ATC, use your dispatching and systems skills to determine your options in terms of ability and capability to bring the aircraft down safely and timely.
If you are a fractional dual crew pilot, demonstrate your CRM and decision making prowess by dividing the workload with your crew mate, declaring the emergency with ATC, use your company's dispatch and your systems skills to determine your options in terms of ability and capability to bring the aircraft down safely and timely.
If you are a 135 or 121 dual crew pilot, demonstrate your CRM and decision making prowess by dividing the workload with your crew mate, declaring the emergency with ATC, use your company's dispatch and your systems skills to determine your options in terms of ability and capability to bring the aircraft down safely and timely.
And in all cases, make sure there isn't a piece of broccoli in you teeth when you smile for the newspaper photographer.
Good Luck...