Step 1: Aligning archaeological sites with their respective prehistoric periods.
- Soan Valley (A): Characterized by Lower Paleolithic sites with simple tools, dating to approximately 1 million years ago. This corresponds to (III) Lower Paleolithic.
- Bhimbetka (B): Notable for Mesolithic cave paintings, illustrating advancements in art and tools post-Paleolithic. This aligns with (II) Mesolithic.
- Sarai Nahar Rai (C): Associated with the Upper Paleolithic period, marking the end of the Stone Age with more refined tool technology. This matches (I) Upper Paleolithic.
- Daojali Hading (D): Linked to the Neolithic period, which introduced agriculture, pottery, and settled lifestyles. This fits with (IV) Neolithic.
Step 2: Summary of Matches.
The established correspondences are:
- Soan Valley: Lower Paleolithic
- Bhimbetka: Mesolithic
- Sarai Nahar Rai: Upper Paleolithic
- Daojali Hading: Neolithic
Final Answer: \[\boxed{\text{The correct answer is (2) (A) - (III), (B) - (II), (C) - (I), (D) - (IV).}}\]