The correct answer is D. No article.
The sentence "I do not like basketball" is a general statement about basketball, not a specific instance of basketball. Therefore, we do not need to use an article.
If we were to say "I do not like the basketball game that is happening right now," then we would need to use the article "the" because we are referring to a specific instance of basketball.
The article "a" is used before singular nouns that refer to something that is not specific. For example, "I saw a bird."
The article "an" is used before singular nouns that begin with a vowel sound. For example, "I saw an apple."
I hope this helps!