Select the option that expresses the given sentence in direct speech.…

The correct answer is Option (3) → The music teacher said to Ritu, “Why did you miss the rehearsal yesterday?”

Changing a question from indirect back into direct speech:

Change	Indirect	Direct	Why
Reporting verb	asked Ritu	said to Ritu	“Asked” goes back to “said to” before the spoken words.
Joining word	why	“Why ...?”	The spoken words go inside quotation marks. They begin with “Why” and end with a question mark.
Word order	she had missed	did you miss	A question puts the helping verb “did” before the subject “you”.
Tense change	had missed	did ... miss	“Had missed” is in the past perfect. The past perfect is formed with had + past participle (V3). It came from the past “asked”. Going back, it returns to the simple past. The simple past is formed with the past form of the verb (V2). After “did”, the verb takes its base form “miss”.
Pronoun change	she	you	The teacher is speaking to Ritu, so “she” becomes “you”.
Time word	the day before	yesterday	“The day before” goes back to “yesterday”. A rehearsal is a practice before a show.
Full sentence	The music teacher asked Ritu why she had missed the rehearsal the day before.	The music teacher said to Ritu, “Why did you miss the rehearsal yesterday?”

“Asked if” goes back to a yes/no question that begins with a helping verb. Example: Sita asked me if I was tired. → “Are you tired?” Sita said to me.

Why the Other Options are Incorrect?

Option 1: The music teacher said to Ritu, “Why you missed the rehearsal yesterday?” — Incorrect. “Why you missed” has no helping verb before the subject. A question needs “did you miss”.

Option 2: The music teacher said to Ritu, “Why did she miss the rehearsal yesterday?” — Incorrect. “She” is not changed. Speaking to Ritu, the teacher says “you”.

Option 4: The music teacher said to Ritu, “Why did you missed the rehearsal yesterday?” — Incorrect. “Did you missed” uses the past form after “did”. After “did” the verb takes its base form: “miss”.