I had a similar but inverted interview experience years ago. The interviewer asked me how I would implement a system for selling concert tickets online. I suspected, and quickly confirmed, that he wasn't interested in the UI, just the back end systems for supporting the UI. I quickly sketched out a system and described how I would serve up information about the available concerts and tickets and implement the process of buying a ticket. Then I asked the interviewer if he wanted me to go into more detail on any particular component of the system. He was NOT pleased. Then began a long process of "don't you think that's unnecessary?" and "what in the world is this for?" As I explained the need for each part of the system, he started incrementally removing all the requirements implicit in his description of the problem.
First to go was the distinction between accessible and non-accessible seating, partially obscured views, basically any extra info about seats except their identity. Okay, great, that simplifies things.
Likewise any idea of redundancy or failover. "Just let the process restart. You should be able to ensure no failures anyway." Okay, that's kind of opposite to how I've thought in the past, but I'll keep my mouth shut and roll with it.
Just to check, I asked if I should support a concept of buying tickets for assigned seats. Nope, no assigned seating. Okay... so are there different price classes for each event? "No, the tickets are all the same!" Okay. Each event has a single price and a single pool of tickets.
But to sell the ticket the user has to be able to buy it, right? Nope. No payment process. Great! I said. So there's no need to put a hold on a ticket while the user has it in his cart. The interviewer looked like he was going to burst a blood vessel.
Then I said, okay, at minimum I think we need to record who we've sold tickets to so we can send them tickets or in some way ensure that the right people can be let into the concert and people who haven't bought tickets can be turned away. Um... right? "No, don't bother. If they say they bought a ticket, they did." Okay. Moving on.
You wouldn't think the requirements could get much simpler than that, but you would be wrong. It turns out that the system didn't need to know when a concert was happening so it could stop selling tickets at some point. Ticket sales for a concert would go on forever. What should I do if the concert sells out? "Don't worry about that. It won't happen." At this point, I wanted to scream, "Your honor, permission to treat the witness as hostile!"
It also turned out there was no need to track different events or venues. There's only one concert, it has an unlimited capacity, and it never happens.
In the end it emerged that he just wanted a simple TCP service that listened on a port and served a random long integer (a "ticket") to anyone who connected without repeating the same value, unless it got rebooted, in which case it was okay to potentially serve some of the same numbers that it served during its last lifetime, as long as it didn't exhibit any patterns that might enable an attacker to predict upcoming values.
What #%$%ing similarity does that have to selling concert tickets? I mean, in the phrase "sell" "concert" "tickets" "online" three out of the four words were completely irrelevant and misleading. I'm guessing it was just what he was working on that week, and in his system the values were called "tickets" so he threw out "let's sell concert tickets" in an interview hoping I would solve his problem for him. We were out of time, so we didn't have time to discuss it. I didn't get an offer and wouldn't have accepted one.