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

The correct answer is Option (4) → The drama teacher said to the actors, “Wait behind the curtain until your names are called.”

Changing an order from indirect back into direct speech:

Change	Indirect	Direct	Why
Reporting verb	ordered the actors	said to the actors	“Ordered” goes back to “said to” before the spoken words.
To + verb	to wait	“Wait	“To” is dropped. A spoken order begins with the plain verb, so “to wait” becomes “Wait”.
Tense change	were called	are called	“Were called” goes back to the present “are called”. This present passive is formed with am / is / are + past participle (V3). In the teacher’s own words, the calling is still to come.
Pronoun change	their	your	The teacher speaks to the actors. So “their names” becomes “your names”.
Full sentence	The drama teacher ordered the actors to wait behind the curtain until their names were called.	The drama teacher said to the actors, “Wait behind the curtain until your names are called.”

“Requested ... to” goes back to an order with “Please”. Example: Asha requested me to close the window. → “Please close the window,” Asha said to me.

Why the Other Options are Incorrect?

Option 1: The drama teacher said to the actors, “Wait behind the curtain until their names are called.” — Incorrect. “Their” is not changed. The teacher speaks to the actors, so it must be “your names”.

Option 2: The drama teacher said to the actors, “Wait behind the curtain until your names were called.” — Incorrect. “Were called” is kept. The calling comes after the order, so the teacher says “are called”.

Option 3: The drama teacher said to the actors, “To wait behind the curtain until your names are called.” — Incorrect. “To wait” keeps “to” inside the quotation marks. A spoken order begins with the plain verb “Wait”.