Which Article of the Constitution deals with the appointment of the Prime Minister?

The correct option is Article 75.

Explanation:

Article 75 of the Constitution of India deals with the provisions regarding the appointment, tenure, responsibility, qualification, oath, and salaries and allowances of the Prime Minister and other Ministers.

Specifically, Article 75(1) states that the Prime Minister shall be appointed by the President of India, and the other Ministers shall be appointed by the President on the advice of the Prime Minister.

Overview of other mentioned Articles:

• Article 72: Deals with the power of the President to grant pardons, reprieves, respites, or remissions of punishment.
• Article 74: Deals with the Council of Ministers to aid and advise the President.
• Article 76: Deals with the Attorney General for India.