The exact phrasing matters too, I guess. There are lots of ways to find a good packing, and even good bounds on how far your good packing is from the global optimizer. So a reasonable question to your interviewer would have been "does it need to be the exact global optimizer, or can it be a good approximation ?". If they wanted a good approximation it might not be a bad question, and the question may have been designed to get you to ask for the distinction? Or maybe they were just dicks, who knows.