Step 1: Plan:
We will start from the playwrights and list their best known works. Then we will place each play in the table.
Step 2: Playwrights and plays.
Rabindranath Tagore wrote 'Dakghar' (Post Office), 'Raktakarabi' and 'Chandalika'.
Girish Karnad wrote 'Hayavadana', 'Tughlaq' and 'Nagamandala'.
Badal Sircar wrote 'Evam Indrajit' and 'Pagla Ghoda'.
Vijay Tendulkar wrote 'Ghashiram Kotwal', 'Sakharam Binder' and 'Silence! The Court is in Session'.
Step 3: Fill the match.
Post office goes with Tagore (II). Hayavadana goes with Karnad (III). Pagla Ghoda goes with Sircar (IV). Ghashiram Kotwal goes with Tendulkar (I).
Step 4: Find the option.
In option form this is (A) - (II), (B) - (III), (C) - (IV), (D) - (I). Looking at the four options, only option 3 has this exact set. The others mix up at least two pairs, for example by giving Post Office to Tendulkar or Ghashiram Kotwal to Tagore.
Final Answer:
The set A-II, B-III, C-IV, D-I is option 3.
\[ \boxed{\text{Option 3}} \]