Step 1: Identifying the Pottery.
- Terracotta: A prevalent pottery type in India, particularly in Bastar (Option II).
- Black Pottery: Characterized by its distinctive finish, predominantly found in Jaipur (Option IV).
- Blue Pottery: Recognized for its elaborate designs, extensively practiced in Nizamabad (Option III).
- Terracotta Army: Renowned pottery linked to historical discoveries in China (Option I).
Step 2: Conclusion.
Therefore, the accurate correlation is (A) - (II), (B) - (IV), (C) - (III), (D) - (I).