Topic: Dangling Modifer,

Best Answer Explained in Below-:

The correct answer is D) "what my name was" because it follows the appropriate grammatical structure for indirect questions. When someone reports a question asked by another person, they need to use an indirect question format, which involves a specific word order and the correct verb tense.

In the sentence "He asked me ___," the blank requires a clause that conveys the content of the inquiry made. The phrase "what my name was" correctly uses the past tense "was," which implies that the question was regarding a prior situation regarding the speaker's name. This is consistent because if "he" was asking about the name in the past, the response acknowledges that.

In contrast:

- A) "what is your name" uses the present tense and direct speech, which isn’t suitable in this context.
- B) "what was your name" incorrectly implies that the address is direct rather than indirect, leading to a mismatch in the perspective.
- C) "what your name was" is incomplete without a reporting verb; it lacks the necessary subject pronoun and verb to form a proper sentence in indirect speech.

Thus, D encapsulates the necessary grammatical elements for accurately expressing the idea that "he" queried the speaker about their name in the past.