Correct Answer: (a) 1336 A.D.
Solution:The Vijayanagara Empire was established in 1336 A.D. by Harihara Raya-I and his brother Bukka Raya-I. They were warrior chieftains and loyal officials in the administration of Kakatiya dynasty, which ruled parts of the Deccan region. After the fall of the Kakatiya Kingdom to the Delhi Sultanate, the brothers were taken as prisoners but later released, and they eventually established their own kingdom.