If we see the second sentence, it uses the verb 'went' which is the past tense of 'go'. This suggests that the action has already happened and completed in past. So the second sentence uses verb of simple past tense. The simple past is a verb tense that is used to talk about things that happened or existed before now.
The second sentence is the answer to the question given in the first sentence. As both the sentence talking about the same topic, the tense of both would be same. Hence, the first sentence would also be in past tense.
So the blanks would require verbs of past tense, which is 'did go'. So, Option C is the correct answer as the sentence is talking about an action that has happened in the past and is using the verbs of simple past tense would be used. Option A cannot be used as 'went' cannot be used with 'did'. Options B and D cannot be used as the sentence is not in present perfect tense.