Select the correct indirect form of the given sentence.The dentist sa…

The correct answer is Option (3) → The dentist asked Arnav when he had last got his teeth cleaned.

Changing a “When ...?” question into indirect speech:

Change	Direct	Indirect	Why
Reporting verb	said to Arnav	asked Arnav	The dentist puts a question. So “said to” becomes “asked”.
Joining word	“ ” (quotation marks)	when	The question word “when” itself joins the question. No “that” is added.
Word order	did you ... get	he had ... got	The question becomes a plain statement. “Did” is dropped, and the subject “he” comes before the verb.
Tense change	did ... get	had ... got	“Did ... get” is in the simple past. The simple past is formed with the past form of the verb (V2). After the past “said” it becomes the past perfect. The past perfect is formed with had + past participle (V3). “Got” is the V3 of “get”.
Pronoun change	you, your	he, his	Arnav is spoken to, so “you” and “your” become “he” and “his”.
Full sentence	The dentist said to Arnav, “When did you last get your teeth cleaned?”	The dentist asked Arnav when he had last got his teeth cleaned.

Other question words like where, why and how join a reported question in the same way. Example: Papa said to Sia, “Where did you buy these mangoes?” → Papa asked Sia where she had bought those mangoes.

Why the Other Options are Incorrect?

Option 1: The dentist asked Arnav when had he last got his teeth cleaned. — Incorrect. “Had he” keeps the question word order. In indirect speech the subject comes first: “when he had”.

Option 2: The dentist asked Arnav that when he had last got his teeth cleaned. — Incorrect. “That when” puts two joining words together. A reported question takes the question word alone.

Option 4: The dentist asked Arnav when you had last got your teeth cleaned. — Incorrect. “You” and “your” are not changed. Arnav is spoken to, so they become “he” and “his”.