Answer:
3.) Xavier then asked if I liked the new music teacher.
Explanation:
1.) Xavier then asked, “If I liked the new music teacher?”
In this sentence, the quotes are used incorrectly as if that was what Xavier said.
2.) Xavier then asked, “if I liked the new music teacher.”
In this option the problem is the quotes too, they are used incorrectly as if that was what Xavier said.
3.) Xavier then asked if I liked the new music teacher.
This option is correct because it is narrating what happened. It is in the past tense because it is an event in the past, It expresses what Xavier asked but it is not a question, and it is not quoting Xavier.
4.) Xavier then asked if I liked the new music teacher?
In this sentence the question mark is incorrect since the sentence is not asking a question, it is only stating that Xavier asked a question.
