The Parliament can legislate on the subject in the State List ........

Indian Polity (Easy) Union - Executive, Legisture

The Parliament can legislate on the subject in the State List:

When a Proclamation of emergency has been made by the President on grounds of internal disturbances or external aggression

It the President authorizes the Parliament to do so during the proclamation of emergency due to breakdown of constitutional machinery

For implementing any treaty, agreement or convention with any other country or countries

Under all the above conditions

Parliament can make laws on a matter in state list, if the Rajya Sabha says that it is necessary in the national interest that Parliament should make laws on that matter.
During a National Emergency -When a proclamation of national emergency is in operation, parliament can legislate on subjects of the state list.
When States make a request for it -Parliament can also make laws on subjects in the state list when the legislatures of two or more states pass resolutions requesting the Parliament to enact laws on that matter.
For implementing International Agreements -For implementing the international treaties, agreements or conventions, the Parliament is authorized to make laws on any subject in the State List.
During President’s Rule -Parliament can make laws with respect to any subject in the State List in relation to that state, when President’s rule is in force in that state. Hence option 4th is correct.