Correct Option (b):
Statement 2 is correct: Article 75(2) of the Indian Constitution stipulates that the Ministers shall hold office during the pleasure of the President. This provision formally vests the President with the power to appoint and remove ministers, though this power is exercised on the advice of the Prime Minister.
Statement 3 is correct: Article 78(c) of the Constitution mandates the Prime Minister to 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. This ensures that the President is regularly informed about the government's functioning and legislative agenda.
Incorrect Options:
Statement 1 is incorrect: Article 75(3) of the Constitution specifies that the Council of Ministers shall be collectively responsible to the House of the People (Lok Sabha), not to the entire Parliament. Collective responsibility means that the entire Council of Ministers is accountable to the Lok Sabha for all its actions and decisions.
Option (a) is incorrect because it includes only statement 1, which is false.
Option (c) is incorrect because it includes statement 1, which is false.
Option (d) is incorrect because it includes statement 1, which is false.