The correct answer is: Non-discretionary
Rationale: Non-discretionary controls are as described: as opposed to discretionary controls which are subject to human choice.
'Mandated' is a similar idea, but mandated controls are required by law and imposed by external authorities (as opposed to voluntary controls, chosen by the organisation). Detect controls are controls designed to detect errors once they have happened.
Administrative controls are to do with reporting responsibilities, communication channels and other means of implementing policies.
Pitfalls: There is so much terminology in this area: fertile ground for exam questions. Be able to use distinctions within classifications (as in 'discretionary and non-discretionary', or 'prevent, detect, control') as well as across classifications, as in this question.