The recursive one that I have actually been really liking recently, and I think is a real enough challenge is: "Answer the question 'What do you get when you cross a joke with a rhetorical question?'".
I append my own version of a chain-of-thought prompt, and I've gotten some responses that are quite satisfying and frankly enjoyable to read.
Yeah. In the example I shared, my charitable interpretation would be that it's identifying the trick question as "a setup" where the punch line is the confusion the audience experiences. And in a meta sense, that would also describe the form of the entire chat.
Could you answer a question of the type " what would you answer if I asked you this question?"
What I'm going after is that you might find questions that are impossible to resolve.
That said if the only unanswerables you can find are recursive, that's a signal the AI is smarter than you?