Change the following from direct to reported speech:
"Would you like a necklace for your birthday?" he asked her.
The two ways of relating what a person has said are 1)direct and 2)indirect (reported speech).In direct speech, the original speaker's exact words are repeated. In indirect/reported speech, the exact meaning is expressed but not necessarily using the original speaker's exact words. Pronouns and possessive adjectives usually change from first or second person to the third person except when the speaker is reporting his own words. Sometimes a noun can be inserted to avoid doubt.
When we turn direct questions and exclamations into indirect speech, they are converted to affirmative statement .( ? and ! is not used).
Option D is correct as when we convert the given direct question to indirect speech which doesn't start with a question word, then if/whether is used, would remains unchanged and your is changed to her.
The other options are wrong as you can't be used, if is not used, and that can't be used.
The correct answer is D)He asked her if she would like a necklace for her birthday.