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.

Reporting a request:

Change	Direct	Indirect	Why
Reporting verb	said to	asked	“Will you ...?” here is a request, not a real question, so “said to” becomes asked (or requested). The question mark becomes a full stop.
Verb form	Will you stop	to stop	A request is reported with “to + base verb”: “will you” is dropped and the verb takes to: “to stop”.
Pronoun change	me, my, yours	him, his, hers	The father is the speaker and the daughter the listener: “me” becomes him, “my” becomes his, “yours” becomes hers.
Full sentence	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.

"Stop playing" and "let ... do" keep their forms. "That terrible music" and "in peace" are kept.

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.