जर एखादे राज्य केन्द्र सरकारने दिलेल्या निर्देशांचे पालन करण्यात अपयशी ठरले तर राष्ट्रपती काय करतील?

The correct answer is Option B (He can declare the breakdown of constitutional machinery in the state and assume responsibility for the governance of the state.).

Key Points:
• Constitutional Provisions regarding Central Directives:
• Article 365 of the Constitution states: Where any State has failed to comply with, or to give effect to, any directions given in the exercise of the executive power of the Union, it shall be lawful for the President to hold that a situation has arisen in which the government of the State cannot be carried on in accordance with the provisions of this Constitution.
• Once this condition is met under Article 365, the President can invoke Article 356 (President's Rule) on the ground of breakdown of constitutional machinery and assume all or any functions of the State government.
• Hence, option (2) directly reflects the constitutional mandate.
• Key Takeaway: Under Article 365, failure to comply with Union directives allows the President to declare breakdown of constitutional machinery under Article 356.