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maxim and aphorism – both mean ‘some pithy observation containing a general truth’ -- example "The child father to the man". So both are synonyms.

The meaning of the options are

A. maximum and optimum – mean the highest level and most favourable level respectively

B. prophecy and doom – prediction and destruction respectively

C. theorem and proof – a truth established by means of accepted truths and confirmation respectively

D. precept and axiom – general rule and general truth respectively. Both are synonyms.

So option D is the answer
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