Choose the option that best transforms the given sentence from direct…

The correct answer is Option (2) → He asked his daughter to stop playing that terrible music of hers and let him do his work in peace.

Direct	Indirect
He said to his daughter, "Will you stop playing that terrible music of yours and let me do my work in peace?"	He asked his daughter to stop playing that terrible music of hers and let him do his work in peace.

Reporting a request:

• Reporting verb: "Will you ...?" here is a request, not a real question, so "said to" becomes asked (or requested).
• Tense change: none is needed, because a request is reported with "to + base verb": "will you" is dropped and the verb takes to: to stop; "stop playing" and "let ... do" keep their forms.
• Pronoun changes: the father is the speaker and the daughter the listener:
  • me → him, my → his
  • yours → hers
• Words of nearness (time and place): the sentence has no words of time or place to change; "that terrible music" and "in peace" are kept, and the question mark becomes a full stop.
  Example: The teacher asked the students to keep quiet during the test.

Why the Other Options are Incorrect?

Option 1: He asked his daughter to stop playing her music and let him do his work peacefully. — Incorrect.

• It drops "that terrible", which carries the father's attitude to the music.
• "In peace" is changed to "peacefully", so the report is not faithful.

Option 3: He said to his daughter to stop the music and let the work happen in peace. — Incorrect.

• "Said to his daughter to stop" is wrong; a request is reported with asked or requested, not "said to ... to".
• "Let the work happen" changes "let me do my work".

Option 4: He requested his daughter to stop that terrible music and let him work in peace. — Incorrect.

• "Stop that terrible music" drops "playing" and "of hers".
• "Let him work" changes "let me do my work", so it reports less than the original.