Could be false. We don’t know for certain whether Bacon wrote the dramas. Although Bacon associated with rulers, this just means he meets a necessary condition for having written the dramas. But the fact he meets a necessary condition for having written the dramas does not guarantee that he must have written the dramas. There could be other people who also associated with rulers who wrote the dramas.

Could be false. We don’t know for certain whether Bacon wrote the dramas. Although Bacon associated with rulers, this just means he meets a necessary condition for having written the dramas. But the fact he meets a necessary condition for having written the dramas does not guarantee that he must have written the dramas. There could be other people who also associated with rulers who wrote the dramas. We also have no reason to think Bacon must have written the love poetry.

Could be false. The stimulus tells us that Shakespeare could have written the love poetry attributed to him.

Could be false. The stimulus tells us that Shakespeare could have written the love poetry, but this does not mean that he absolutely did. It is possible that Shakespeare wrote neither the love poetry nor the dramas, and that the true author of both the love poetry and the dramas is a single person.

Must be true. We know Shakespeare did not write the dramas because they could have been written only by someone who spent much time among rulers, and Shakespeare did not associate with rulers. So he did not meet a necessary condition for having written the dramas.