Answering Ambiguous or Outright Preposterous Questions
Easy.  Maximize your grade.

You'll have plenty of opportunities in life to influence people and try to reduce the total stupidity in the world.

This is not such an opportunity.

Maximize your grade, if for no other reason than as an interesting puzzle, where you put yourself in the shoes of the idiot who wrote the question, and try to reverse-engineer the question.

You may still not hit the "correct" answer, but you might as well try to solve the puzzle....  Why not?