Step 1: Historical Battles and Dates.
- Battle of the Hydaspes (326 BCE): Alexander the Great vs. King Porus.
- First Battle of Tarain (1191): Prithviraj Chauhan vs. Muhammad Ghori.
- Battle of Khanwa (1527): Babur vs. Rana Sanga.
- Battle of Talikota (1565): Resulted in the decline of the Vijayanagara Empire.
- Battle of Buxar (1764): British East India Company vs. allied Indian rulers.
Step 2: Chronological Arrangement.
The ordered sequence of battles is: (a) Battle of the Hydaspes, (b) First Battle of Tarain, (c) Battle of Khanwa, (d) Battle of Talikota, (e) Battle of Buxar.
Final Answer: Option (3)