The correct option is 1 and 3 only.
Explanation
Article 78 of the Constitution of India outlines the specific duties of the Prime Minister in relation to the President. It establishes the Prime Minister as the primary channel of communication between the President and the Council of Ministers.
Statement-wise Analysis:
- Statement 1 is Correct: According to Article 781 and 3 only, it is the constitutional duty of the Prime Minister to furnish such information relating to the administration of the affairs of the Union and proposals for legislation as the President may call for.
- Statement 2 is Incorrect: The President functions as the Head of State and holds the right to be informed, the right to encourage, and the right to warn. There is no constitutional prohibition preventing the President from writing to the Prime Minister to express views or concerns regarding matters of national importance.
- Statement 3 is Correct: Article 781 and 2 only mandates that the Prime Minister must communicate to the President all decisions of the Council of Ministers relating to the administration of the affairs of the Union and proposals for legislation.
Key Takeaway:
Article 78 constitutionally binds the Prime Minister to keep the President informed about the decisions of the Council of Ministers and to provide any information regarding the administration of the Union that the President may request.