Step 1: Start with the surest pairs.
Natyasastra is the oldest Indian text on performing arts, so it must go with Bharata, which is (C)-(I). Geetanjali is a book of poems, so it must go with the poet Tagore, which is (A)-(II).
Step 2: Use the options to cut down.
Only option 3 has both (A)-(II) and (C)-(I). Option 1 and option 2 have (A)-(I), and option 4 has (A)-(III), so they are already out.
Step 3: Check the rest of option 3.
In option 3, (B) is paired with (IV). Poetics is by Aristotle, so this is right. And (D) is paired with (III). The Empty Space is by Peter Brook, so this is also right.
Step 4: Confirm there is no second answer.
As the other options fail on the very first pair, only option 3 stands.
Final Answer:
The answer is option (3).