The correct option is A 'Malgudi days'
If you look at the statement of Mine, you can easily observe that he is the person who alternates between truth and lie ( as both the statements are only about him and only 1 can be true. In case of his both statements being untrue, no valid case holds.). Now, the valid case is shown below:
My, the liar, wrote Black hole.
Mine, the alternating person, wrote Malgudi.
Me, the truth-teller, wrote The Dry Water.
No other case is possible with the given conditions.