The correct answer is A) Mysuru.
Mysuru is a city in the Indian state of Karnataka. It is the third-largest city in the state after Bangalore and Hubli-Dharwad. Mysuru is known for its palaces, temples, and gardens. It is also a major center for silk production.
The silk industry in Mysuru dates back to the 16th century. The city was ruled by the Wodeyar dynasty, who were patrons of the arts and crafts. The Wodeyars built several palaces and temples in Mysuru, and they also encouraged the development of the silk industry.
Today, Mysuru is one of the major centers for silk production in India. The city is home to several silk mills, and it is also a major trading center for silk. The silk produced in Mysuru is known for its high quality and its beautiful designs.
The other options are incorrect because they are not districts in Karnataka that are famous for their silk. Ramanagara is a district in Karnataka that is known for its granite quarries. Kolar is a district in Karnataka that is known for its gold mines. Tumakuru is a district in Karnataka that is known for its agriculture.