A verb is used to express an occurrence, action, or state. It is the grammatical centre of the predicate in a sentence.
An auxiliary verb is a verb which gives is used in the formation of tenses, moods, tones, etc.
Option A is correct as the subject is I and like indicates the use of simple present tense. The subject can't take does and must take not with do befor eit.
The other options are wrong as like and swimming indicates of a hobby. The use of like before swimming indicates that the auxiliary verb do can't be of use because like is the given verb. Therefore, not should be used with the auxiliary do.
The correct answer is A)sailing/ don't