The correct answer is: C. Lieutenant Governor
The Lieutenant Governor of Jammu and Kashmir is the head of the Union Territory of Jammu and Kashmir. He is appointed by the President of India on the advice of the Central Government. The Lieutenant Governor has the power to appoint the Chief Minister of the Legislative Assembly of the Union Territory of Jammu and Kashmir.
The Prime Minister of India is the head of the Central Government. He is elected by the members of the Lok Sabha, the lower house of the Parliament of India. The Prime Minister does not have the power to appoint the Chief Minister of the Legislative Assembly of the Union Territory of Jammu and Kashmir.
The President of India is the head of state of India. He is elected by an electoral college consisting of members of both houses of the Parliament of India and the legislative assemblies of the states. The President does not have the power to appoint the Chief Minister of the Legislative Assembly of the Union Territory of Jammu and Kashmir.