The dynasty that ruled Mysore after the decline of the Vijayanagara Empire:

Wodeyars
Nayakas of Keladi
Bahmani Sultans
Marathas

The correct answer is A) Wodeyars.

The Wodeyars were a Hindu dynasty that ruled Mysore from the 14th century to the 19th century. They were originally feudatories of the Vijayanagara Empire, but after the decline of that empire in the 16th century, they became independent rulers. The Wodeyars were a powerful and influential dynasty, and they played a major role in the history of southern India.

The Nayakas of Keladi were a Hindu dynasty that ruled the Keladi Nayak Kingdom in the 16th and 17th centuries. They were originally feudatories of the Vijayanagara Empire, but after the decline of that empire, they became independent rulers. The Nayakas of Keladi were a powerful and influential dynasty, and they played a major role in the history of southern India.

The Bahmani Sultanate was a Muslim sultanate that ruled the Deccan Plateau in the 14th and 15th centuries. It was founded by Alauddin Bahman Shah in 1347, and it reached its peak under the rule of Muhammad Shah III (1375-1397). The Bahmani Sultanate was a powerful and influential empire, and it played a major role in the history of southern India.

The Marathas were a Hindu warrior group that emerged in the 17th century. They were originally a part of the Mughal Empire, but they rebelled against Mughal rule in the 17th century. The Marathas were a powerful and influential group, and they played a major role in the history of India.