Explanation :
If the Rajya Sabha declares that it is necessary in the national interest for Parliament to make laws on a matter in the State List, such as goods and services tax, then Parliament becomes competent to make laws on that matter. To pass such a resolution, it must be supported by at least two-thirds of the members present and voting. The resolution remains in force for one year and can be renewed any number of times, but not exceeding one year at a time. The laws enacted under this provision cease to have effect six months after the resolution has ceased to be in force. Hence, Statement 1 is correct.
The Parliament acquires the power to legislate with respect to goods And services tax or matters in the State List, while a proclamation of national emergency is in operation. The laws become inoperative on the expiration of six months after the emergency has ceased to operate. Here also, the power of a state legislature to make laws on the same matter is not restricted. But, in case of repugnance between a state law and a parliamentary law, the latter is to prevail. Hence, Statement 2 is also correct.
When the legislatures of two or more states pass resolutions requesting the Parliament to enact laws on a matter in the State List, Then the Parliament can make laws for regulating that matter. A law so enacted applies only to those states which have passed the resolutions. However, any other state may adopt it afterwards by passing a resolution to that effect in its legislature. Such a law can be Amended or repealed only by the Parliament and not by the Legislatures of the concerned state. Hence, statement 3 is also correct.
The Parliament can make laws on any matter in the State List for implementing the international treaties, agreements or conventions. This provision enables the Central government to fulfill its international Obligations and commitments. Hence, Statement 4 is also correct.
When the President’s rule is imposed in a state, the Parliament Becomes empowered to make laws with respect to any matter in the State list in relation to that state. A law made so by the Parliament Continues to be operative even after the president’s rule. This means That the period for which such a law remains in force is not Coterminous with the duration of the President’s rule. But, such a law can be repealed or altered or re-enacted by the state legislature. Hence , Statement 5 is also correct.
Therefore, All Options are correct.