In my university's musics and fine arts department, all the instrument courses have some sort of interview for the students from the other departments.For example, for violin courses, they played 4 different notes on piano and after each note, I have asked to sing "aaaa". After that, they gave me some rhythm by clapping their hands, and I was asked to repeat that rhythm with clapping my hands.
So my question is, what can a musician, or a lecturer on music, determine from these kind of examinations about the student, and how ?