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

The correct answer is Option (2) → The hotel receptionist said to Varun, “Have you booked a room online?”

Changing a yes/no question from indirect back into direct speech:

Change	Indirect	Direct	Why
Reporting verb	asked Varun	said to Varun	“Asked” goes back to “said to”. The question now shows in the spoken words.
Joining word	if	“ ” (quotation marks)	“If” is dropped. The spoken words go inside quotation marks and end with “?”.
Word order	he had booked	Have you booked	A direct question puts the helping verb “have” before the subject “you”.
Tense change	had booked	have booked	Going back, the past perfect “had booked” returns to the present perfect “have booked”. The past perfect is formed with had + past participle (V3). The present perfect is formed with has / have + V3.
Pronoun change	he	you	The receptionist speaks to Varun directly. So “he” becomes “you”.
Full sentence	The hotel receptionist asked Varun if he had booked a room online.	The hotel receptionist said to Varun, “Have you booked a room online?”

“Asked if” + was/were goes back to “Are you ...?” in the same way. Example: Dev asked me if I was hungry. → “Are you hungry?” Dev said to me.

Why the Other Options are Incorrect?

Option 1: The hotel receptionist said to Varun, “Will you book a room online?” — Incorrect. “Will you book” asks about a later booking. It would be reported as “if he would book”, not “if he had booked”.

Option 3: The hotel receptionist said to Varun, “If you have booked a room online?” — Incorrect. The joining word “if” is kept inside the quotation marks. A direct question starts with the helping verb: “Have you ...?”.

Option 4: The hotel receptionist said to Varun, “Has he booked a room online?” — Incorrect. “He” is kept. The receptionist speaks to Varun directly, so it becomes “you”.