The correct answer is D. President of India.
The President of India appoints the Governor of a State in India. The Governor is the head of the state and represents the central government in the state. The Governor is appointed for a term of five years and can be reappointed. The Governor has the power to dissolve the state assembly, appoint the chief minister and other ministers, and to give assent to bills passed by the state assembly.
Option A is incorrect because the Prime Minister of India does not appoint the Governor of a State in India. The Prime Minister is the head of the central government and is appointed by the President of India.
Option B is incorrect because the Council of Ministers does not appoint the Governor of a State in India. The Council of Ministers is a group of ministers who are appointed by the Prime Minister to help him or her run the central government.
Option C is incorrect because the Judge of Supreme Court does not appoint the Governor of a State in India. The Judge of Supreme Court is a judge of the Supreme Court of India, which is the highest court in the country.