- Statement 1 is correct: While generally bound by the advice of the Council of Ministers, the Governor may use discretion in situations where the advice is not available or when they need to assess the political situation, such as selecting a Chief Minister when no single party has a clear majority, or dismissing a ministry that has lost confidence of the house. These actions can be described as the Governor acting when not convinced by the viability or constitutionality of the existing arrangement or advice. - Statement 2 is correct: Article 163(1) explicitly states that the Governor acts on the aid and advice of the Council of Ministers "except in so far as he is by or under this Constitution required to exercise his functions or any of them in his discretion". There are several such specific requirements under the Constitution (e.g., reserving a bill for the President's consideration under Article 200, recommending President's Rule under Article 356 in case of breakdown of constitutional machinery). - Statement 3 is correct: As per Article 239(2), when a Governor of a state is appointed as the administrator of an adjoining Union Territory, he exercises his functions as administrator independently of his Council of Ministers, i.e., in his discretion or on the advice of an Administrator's Council if one exists.