The question was to estimate how many vacuum cleaners there were in the city we were in.
Fine, I did some estimation of how many vacuum cleaners per household and per office, across how many households and offices. Standard stuff.
Then the guy starts laughing and saying I'd failed because I didn't include discarded vacuum cleaners in landfills. Or the vacuum suction devices they put in your mouth at the dentist's office. And so forth. And then had to spend the next five minutes listening to him "teach me" how not to make assumptions. So I acted all polite and tried to fake "oh gosh thank you so much for enlightening me!"
Shockingly, I got the job, which required unanimous approval from all interviewers. Never met him again, and to this day I still have no idea whether this was supposed to be a test of estimation (which was easy to pass), a test of not making assumptions (which is dumb, but OK fine I failed), or a test of being appropriately professional and smiling in the face of complete bullshit (which I'd say I passed with flying colors).
I mean, in my professional life I've certainly had my fair share of customers and managers and coworkers who spout bullshit and you really do just have to lie with a smile and say "oh my gosh you're so right thank you for explaining that, I appreciate you so much!" Where you need to make them feel smart.
On the other hand, I just don't think he was thinking that far ahead.