는지 기억나다

do you remember what…?

An embedded question with "-는지" under 기억나다, "come to mind, be remembered". Almost every line here is a host asking a guest to recall something from an old clip: do you remember what you ate on that camping trip, do you remember the viewing figures, do you remember what role you played at debut, do you remember what happened at Ssangdungisan. Note that 기억나다 is the memory surfacing on its own, so the person is not the subject — literally "does it come back to you?"

Register: polite question, interview-style