Explanation
Why Correct: Article 217(1) of the Constitution states that the President appoints every High Court judge, including the Chief Justice, after consulting the Chief Justice of India and the Governor of the state.
Distractor Analysis: Prime Minister advises the President but does not directly appoint. Chief Justice of the Supreme Court (CJI) is consulted in the appointment process but does not make the appointment. Cabinet provides collective advice to the President but the constitutional authority rests with the President.
Takeaway: While the President appoints High Court judges, the Supreme Court collegium (headed by CJI) makes recommendations, and the President typically acts on this advice.