Step 1: Background of the battle.
The Battle of Rakshasi-Tangadi, also known as the Battle of Talikota, was fought between the Vijayanagara Empire and the combined forces of the Deccan Sultanates (Bijapur, Ahmednagar, Golconda, and Bidar).
Step 2: Year of occurrence.
This decisive battle took place in the year 1565. It marked the downfall of the mighty Vijayanagara Empire.
Step 3: Elimination.
- (A) 1560: Too early, not correct.
- (B) 1563: Not historically accurate.
- (C) 1565: Correct year of the battle.
- (D) 1640: Much later, not related.
Step 4: Conclusion.
Thus, the Battle of Talikota took place in 1565.