From Kolesnikov.org

Сколько настройщиков пианино в Сиэтле?

In the past, I’ve used “impossible questions,” also known as “back of the envelope questions.” Classic examples of this are “How many piano tuners are there in Seattle?” The candidate won’t know the answer, but smart candidates won’t give up and they’ll be happy to try and estimate a reasonable number for you. Let’s see, there are probably… what, a million people in Seattle? And maybe 1% of them have pianos? And a piano needs to be tuned every couple of years? And it takes 35 minutes to tune one? All wrong, of course, but at least they’re attacking the problem. The only reason to ask a question like this is that it lets you have a conversation with the candidate. “OK, 35 minutes, but what about travel time between pianos?”
“Good point. If the piano tuner could take reservations well in advance they could probably set up their schedule to minimize travel time. You know, do all the pianos in Redmond on Monday rather than going back and forth across 520 three times a day.”
A good back-of-the-envelope question allows you to have a conversation with the candidate that helps you form an opinion about whether they are smart. A bad “Aha!” pirate question usually results in the candidate just sort of staring at you for a while and then saying they’re stuck.