Step 1: Graph Interpretations.
- (A) Hydrograph: Displays discharge over time; corresponds to (III) Discharge vs time.
- (B) Mass curve: Shows cumulative rainfall over time; corresponds to (II) Cumulative rainfall of nearby station vs Cumulative rainfall of concerned station.
- (C) Double mass curve: Relates cumulative rainfall to another station's cumulative rainfall; corresponds to (I) Cumulative rainfall vs time.
- (D) Hyetograph: Represents rainfall intensity over time; corresponds to (IV) Rainfall intensity vs time.
Step 2: Conclusion.
Therefore, the correct match is: (A) - (III), (B) - (II), (C) - (I), (D) - (IV), making option (1) the correct answer.
Final Answer:
\[
\boxed{1. \, (A) - (III), (B) - (II), (C) - (I), (D) - (IV)}
\]