There are online a good amount of tests aimed to assess "compatibility" between two persons in a given life or work commitment situation; for instance, between coworkers, roommates, lovers, dungeons'n'dragons players.
Basically, the idea is asking questions to which there is no true correct answer, but different possible viewpoints based on personality, opinions and general attitude. Two people can check easily if they are on the same page on a number of controversial points, and early discussion helps identifying possible reasons for disagreement.
It would be interesting to come up with similar questions for the phd student/advisor relationship. For example,
A good advisor should:
a. provide detailed guidance and tell their student what to investigate in great detail, even on a day-by-day basis.
b. leave their student free to choose their work agenda, but arrange regular meetings to check on their status and make sure they don't go astray.
c. give their student a problem and tell them to come back when they have an interesting result, even if it is months later.
I would like to gather several specific questions of this kind as answers to a community wiki question.