The correct answer is C. June 2nd.
Telangana State Formation Day is celebrated on June 2nd every year. It is a public holiday in the state of Telangana, India. The day commemorates the formation of the state of Telangana on June 2, 2014. Telangana was formed by the bifurcation of the state of Andhra Pradesh. The movement for the formation of Telangana was a long and protracted one. It began in the early 1960s and culminated in the formation of the state of Telangana in 2014.
The day is celebrated with great pomp and show. There are cultural programs, parades, and other events. The Chief Minister of Telangana addresses the people on the day. The day is also a time to remember the sacrifices made by the people of Telangana in the struggle for statehood.
Option A is incorrect because January 26th is Republic Day in India. It is a national holiday and is not celebrated as Telangana State Formation Day.
Option B is incorrect because August 15th is Independence Day in India. It is a national holiday and is not celebrated as Telangana State Formation Day.
Option D is incorrect because October 3rd is Gandhi Jayanti. It is a national holiday and is not celebrated as Telangana State Formation Day.