Step 1: Understanding the Graphs.
- (A) Hydrograph: Represents discharge over time, so it corresponds to (III) Discharge vs time.
- (B) Mass curve: Represents cumulative rainfall over time, so it corresponds to (II) Cumulative rainfall of nearby station vs Cumulative rainfall of concerned station.
- (C) Double mass curve: Represents cumulative rainfall in relation to the cumulative rainfall of another station, so it corresponds to (I) Cumulative rainfall vs time.
- (D) Hyetograph: Represents rainfall intensity over time, so it corresponds to (IV) Rainfall intensity vs time.
Step 2: Conclusion.
Thus, the correct matching is: (A) - (III), (B) - (II), (C) - (I), (D) - (IV), making option (1) the correct answer.
Final Answer:
\[
\boxed{1. \, (A) - (III), (B) - (II), (C) - (I), (D) - (IV)}
\]