Which lines from the story “there’s a man in the habit of hitting me on the head with an umbrella” gives the impression that the umbrella may not exist outside the narrators imagination

The lines from the story “there’s a man in the habit of hitting me on the head with an umbrella” gives the impression that the umbrella may not exist outside the narrator's imagination are:

"As far as I can tell, he has never either slept or eaten anything. His sole activity consists of hitting me. He is with me in everything I do, even in my most intimate activities."

Explanation:

The question is not complete since it does not provide the options to answer it, here are the options:

a.) "I don’t know his name. I know he’s average in appearance, wears a gray suit, is graying at the temples, and has a common face. I met him five years ago one sultry morning. I was sitting on a tree-shaded bench in Palermo Park, reading the paper."

b.) "After a few moments of indecision, and seeing that he was not about to change his attitude, I stood up and punched him in the nose. The man fell down, and let out an almost inaudible moan."

c.) "That’s why I slowed down to a walk. I looked at him. There was no trace of either gratitude or reproach on his face. He merely kept hitting me on the head with the umbrella."

d.) "As far as I can tell, he has never either slept or eaten anything. His sole activity consists of hitting me. He is with me in everything I do, even in my most intimate activities."

This lines in option D give the hint that not only the umbrella does not exist but also the man carrying the umbrella is the result of the imagination of the narrator as a way to apply self-punishment to whatever is in his mind or as a result of everything that he is and represents, it could also represent a constant and annoying conscience inside of his brain.