The correct answer is: A. Sher Shah and Humayun.
The Battle of Surajgarh was fought on 22 June 1534 between the forces of Sher Shah Suri and the Mughal emperor Humayun. The battle took place near the town of Surajgarh in present-day Rajasthan, India. Sher Shah Suri emerged victorious in the battle, and Humayun was forced to flee to Persia.
The battle was a turning point in the Mughal Empire, as it marked the beginning of the decline of the empire. Sher Shah Suri went on to establish the Sur Empire, which ruled over much of northern India for the next few decades.
Option B is incorrect because the Battle of Surajgarh was not fought between Sher Shah and Babar. Babar was the founder of the Mughal Empire, and he died in 1530. Sher Shah Suri did not come to power until 1531.
Option C is incorrect because the Battle of Surajgarh was not fought between Sher Shah and Jalal Khan. Jalal Khan was a Mughal general who was killed in the battle.
Option D is incorrect because the Battle of Surajgarh was not fought between Sher Shah and Mahmud Shah. Mahmud Shah was the ruler of the Lodi dynasty, which was overthrown by Sher Shah Suri.