The correct option is 1 and 3 only.
Explanation
Article 356 of the Indian Constitution empowers the President to impose President's Rule (also known as State Emergency or Constitutional Emergency) in a State if the constitutional machinery fails.
- Statement 1 is Correct: Under Article 356, the President can issue a proclamation imposing President's Rule if he is satisfied, either on a report from the Governor of the State or otherwise, that a situation has arisen in which the government of the State cannot be carried on in accordance with the provisions of the Constitution.
- Statement 2 is Incorrect: The President exercises his powers, including the imposition of President's Rule, on the aid and advice of the Union Council of Ministers headed by the Prime Minister (Article 74). He cannot impose it purely on his own discretion without such advice.
- Statement 3 is Correct: The power to impose President's Rule falls under Part XVIII of the Constitution, which deals with Emergency Provisions (Articles 352 to 360). It is distinct from National Emergency (Article 352) and Financial Emergency (Article 360) but remains an emergency power.
Key Takeaway: President's Rule is imposed due to the failure of constitutional machinery in a State. It is an executive action taken by the President on the binding advice of the Union Cabinet, not on personal discretion.