What sort of questions do they ask in Oxbridge interviews?

Beyond the 'typical medical school interview questions' that are still fair game, oxbridge interviews are infamous for employing an array of unconventional questions that can be intimidating for the unprepared.However I would argue that how you answer the question is of far more importance than whether you know the answer right off the bat. Many of these questions are not designed to be answered instantaneously by an A-level (or equivalent) pupil, but rather to instigate a dialogue that allows the interviewer to analyse how the student thinks and whether they can logically integrate new information.
Beyond this abstract description however, one of the most important avenues to prepare for an Oxbridge interview is practice. Thus I believe any preparatory sessions must include regular mock interviews to condition and teach the student how to approach questions they do not always know the answer to - and indeed, my tutoring would involve this alongside meticulous feedback.
I have additionally answered a fabricated Oxbridge interview question below as an example to flesh out the abstract description given above.