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I don't think there is any constraint that a single answer is true, otherwise the exercise wouldn't list "All of them" as a possibility.

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I feel like it's implied by the question itself? "Which answer [singular] is the [definite article] correct answer"

But you may be right. I detest word puzzles for exactly this type of ambiguity.

Same goes for implication vs. equality. Why "should" 5 being true contradict 6 being correct? Just because 5 happens to be true doesn't necessarily mean it is "the" "correct" answer. The "real" answer depends on an interpretation of the English-language formulation that most people will apply, but not all.

The puzzle itself contains enough contradictions that a single answer is forced. So it is unclear from the question, but the result is definite: There is exactly one answer. (Of course, that fact is not obvious.)

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