The correct answer is A. My mother asked me where I was going at that time of the day.
The sentence “My mother said to me, ‘Where are you going at this time of the day?'” is an example of a direct question. A direct question is a question that is asked in a way that requires a specific answer. In this case, the mother is asking her child where they are going at that time of the day. The child could answer the question by saying “I’m going to the store,” “I’m going to the park,” or “I’m going to visit a friend.”
The other options are incorrect because they do not accurately reflect the meaning of the sentence. Option B is incorrect because the mother is not telling the child where they are going, she is asking them. Option C is incorrect because the mother is not telling the child not to go, she is asking them where they are going. Option D is incorrect because the mother is not asking the child where was they going, she is asking them where they are going.