Step 1: Recall approximate areas of states.
- Arunachal Pradesh: ~83,000 sq km. Kerala: ~39,000 sq km. → Arunachal is larger. (A) True.
- Punjab: ~50,000 sq km. Assam: ~78,000 sq km. → Assam is larger. (B) False.
- Chhattisgarh: ~135,000 sq km. Jharkhand: ~80,000 sq km. → Chhattisgarh is larger. (C) True.
- West Bengal: ~89,000 sq km. Uttarakhand: ~53,000 sq km. → West Bengal is larger. (D) True.
Step 2: Conclude.
The correct statements are (A), (C), and (D).
Final Answer:
\[
\boxed{\text{A, C and D}}
\]