Step 1: Plan.
First find the odd name out. Then pick the option that leaves out only that name.
Step 2: Group the names by language and field.
Kalidas, Bhasa and Bhavabhuti all wrote dramas in Sanskrit, with famous works such as Shakuntalam, Svapnavasavadatta and Uttararamacharita. Annamayya belongs to Telugu devotional music, since he composed thousands of kirtanas in Telugu.
Step 3: Find the odd name.
The odd one is (B) Annamayya, because he is not a Sanskrit dramatist.
Step 4: Look at the options.
Options 1, 3 and 4 each contain (B), so none of them can be right. Option 2 is the only one without (B), and it lists (A), (C) and (D).
Final Answer:
The answer is option (2): (A), (C) and (D) only.