I remember taking a multiple choice question test for some scholarship 35 years ago. 20 questions with the explicit instructions that for any question all of the choices could be correct or none of them or combination, and you were supposed to check only the answers that were correct. It was a VERY hard test. In addition you could score less than zero since every correct item that you checked would add points but every incorrect item itme you checked would subtract points AND every correct item you didn't check would also subtract points. You didn't get points for not checking incorrect items.
I had a few of those in university, they were a favorite of a particular professor for a while. On the very first exam, given that you had to get 50% of points to get a passing grade, IIRC about 20% had a score above 0.
Those exams got easier after a couple years. I imagine there were some words to be had with the dean.
I've never seen a test like that for school work.