I've tried questions like this (super basic but can quickly filter out people who know nothing), but sometimes the candidate seems insulted! I try to quickly move on to a harder question.
I remember thinking what you're writing about there, that there's a lot of people to be filtered out, and that good candidates wouldn't be offended.
So we had this simple two-part quiz question for people, starting with "what is the expectation of a dice roll?". Amazingly a lot of people can't figure this out.
But also a lot of people know the answer immediately and will wonder WTF you are asking such a simple question for. I remember this one lady who interviewed with my firm, the look on her face when she realized we weren't asking anything complicated. You could just tell she thought we were a bunch of amateurs, and she'd better be on her way to see some other proper hedge funds.