Step 1: Understanding the Concept:
The question requires matching famous classical dance festivals of India with the states in which they are held.
Step 2: Detailed Explanation:
- (A) Nishagandhi Festival: This annual festival is organized by the Kerala Tourism Department at the Nishagandhi Auditorium in Thiruvananthapuram, Kerala. So, A matches with (I) or (III).
- (B) Soorya Dance Festival: This is another prestigious and long-running dance festival held in Thiruvananthapuram, Kerala. So, B also matches with (I) or (III).
- (C) Modhera Dance Festival: This festival is held at the famous 11th-century Sun Temple in Modhera, Gujarat. So, C matches with (IV).
- (D) Nātyanjali Utsav: This is a major annual dance festival dedicated to Lord Nataraja, held in the great temple at Chidambaram, Tamil Nadu. So, D matches with (II).
Based on this, the correct combination is C-(IV) and D-(II). The only option that has this is option (C), which assigns A and B to the two 'Kerala' options (I and III).
Step 3: Final Answer:
The correct matching is (A)-Kerala, (B)-Kerala, (C)-Gujarat, (D)-Tamil Nadu. This corresponds to option (C).