Explanation:

This question concerns the appointment process of the Chief Election Commissioner (CEC) of India, a key constitutional post. (A) Chief Justice of India: The Chief Justice of India is the head of the Indian judiciary. While the Chief Justice administers the oath to the President, they do not have the power to appoint the Chief Election Commissioner. The document incorrectly indicated this option as the correct answer. Therefore, this option is factually incorrect. (B) President: Article 324(2) of the Indian Constitution states that 'The Election Commission shall consist of the Chief Election Commissioner and such number of other Election Commissioners, if any, as the President may from time to time fix and the appointment of the Chief Election Commissioner and other Election Commissioners shall, subject to the provisions of any law made in that behalf by Parliament, be made by the President.' Thus, the President of India is the appointing authority for the Chief Election Commissioner. This option is correct. (C) Prime Minister: The Prime Minister heads the executive branch and advises the President on many appointments, but the formal appointment of the Chief Election Commissioner is made by the President, not the Prime Minister directly. Therefore, this option is incorrect. (D) Vice-President: The Vice-President's primary role is to act as the Chairman of the Rajya Sabha and to act as President in certain situations. They do not have the power to appoint the Chief Election Commissioner. Therefore, this option is incorrect.