D. Neither follows.
In statement-conclusion questions always try to make the conclusion false and see if the statement can hold - if so, then the conclusion need not follow always from the statement.
Here, both the conclusion can be false and still the statement can hold, which means neither conclusion follows from the statement.
i.e., $P \implies Q = \neg P \vee Q = \neg \neg Q \vee \neg P = \neg Q \implies \neg P.$