Explanation

The correct answer is option C: "He asked me where I had gone the previous day." This choice accurately reflects the transformation from direct speech to indirect speech while maintaining the meaning and grammatical structure of the original question.

When converting questions from direct to indirect speech, several changes must occur. First, the verb tense shifts back; in this case, "did go" in the direct speech becomes "had gone" in the indirect expression, as the reporting verb ("said") is in the past tense. Additionally, the question format in direct speech, which uses “where did you go,” shifts to a statement format in indirect speech, necessitating the use of "where I had gone."

Option A incorrectly uses "where did I go," which is not a correct transformation for a reported question. Option B introduces a tense inconsistency and incorrectly poses it as a statement instead of a question. Meanwhile, option D changes the nature of the inquiry from a specific question about location to a general yes/no question, which alters the original intent.

Thus, option C maintains the integrity of the question and accurately reflects the needed grammatical changes, making it the correct choice.