By PSQ, I mean problem statement questions that have some background but show no attempt to answer the question.
I'm aware that posting PSQ's is a direct violation of the MSE guidelines. I would also like to bring up the point that answering one's own question is explicitly encouraged. Sharing your knowledge Q&A style isn't so bad. I see no harm in posting PSQ's as long as one's trying to share their knowledge with the community(By answering the question themselves). When someone answers a PSQ themselves, we can also be sure that no one is trying to get their homework done by a stranger on the internet.
In reference to this comment, I would like to mention, that I'm talking about questions of the sort that I've come across on my completed tests, or some that I've designed myself and have found the answer to.
So can we do it?