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 singular and give suggests the use of simple past tense. 

 The other options are wrong as the main verb is its first form (give).

The correct answer is A)Did