Concept:
Chronological arrangement requires identifying the correct years of important international events.
Step 1: Identify the year of each event.
• Liberation of Bangladesh -- \(1971\)
• SAARC founded -- \(1985\)
• Disintegration of USSR -- \(1991\)
• India conducted Second Nuclear Test -- \(1998\)
• Nepal adopted new republican Constitution -- \(2015\)
Step 2: Arrange the events chronologically.
From earliest to latest:
\[
1971 \rightarrow 1985 \rightarrow 1991 \rightarrow 1998 \rightarrow 2015
\]
Thus, the sequence becomes:
\[
A, C, D, B, E
\]
Step 3: Match with the options.
The sequence:
\[
A, C, D, B, E
\]
matches option (B).
Step 4: Conclusion.
Hence, the correct answer is:
\[
\boxed{A, C, D, B, E}
\]