Correct Option (c)
Statement 1 is correct. The Governor of the Reserve Bank of India is appointed by the Central Government.
Statement 3 is correct. The powers and functions of the Governor of the Reserve Bank of India are derived from the provisions of the Reserve Bank of India Act, 1934.
Incorrect Options
Statement 2 is incorrect. The Central Government's authority to issue directions to the Reserve Bank of India in the public interest is established under Section 7 of the Reserve Bank of India Act, 1934. This power is not directly conferred by specific provisions within the Constitution of India.