Triplets have nothing to do with time signature. Just that point reveals lack of experience in this area. Triplets exist in any time signature or lack of one. They are about beat subdivision.
I could explain each of these points in greater detail but I am not compelled to take the time. Playing scales to meter is a common technique.
And if I asked even a professional to sit down right now and whip out, say a melodic minor in five flats, four octaves at a quick consistent pace, many would indeed need a quick try first. They do get tricky indeed.
Though just give me the tonic name, no need to call it five flats.
Edit to add: To be fair I'm about a decade further in my career than someone going to study music for the first time.
This kind of request is very common at many music schools for these kinds of exams.
And there were only two modes (if the story can be trusted to get all details right).