Interviewer: "How much water flows through the Thames?"
Me: "Well, I sat next to the Thames once, and it's maybe 50 m across. Depth... I dunno 10 meters? Speed..."
Interviewer: "Actually... It's 100 m across and..."
I could see the interviewer realizing this wasn't the most relevant question to ask to someone not from the area. Perhaps they wanted that interaction, I don't know. A silly question that just dealt with local knowledge, and (in the end) very little modeling.
I played along, then sat in my hotel room and shook my head.
However, one of my hard rules is that I don't spend more time on the hiring process than the company does. I'll happily sit and talk to an employee for four hours, but I'm not going to do a "take-home test" for more than 10 min.