The correct answer is option 1, a simple majority. This means that a majority of the members present and voting in both the houses of the Indian Parliament can rename or redefine the boundary of a state. It is not required to have an absolute majority or a specific threshold of votes like 2/3rd majority or a combination of both. A simple majority refers to more than half of the members present and voting.

It is important to note that the power to rename or redefine the boundary of a state lies with the Indian Parliament and not with the state government. This is done through a specific legislative process and requires the approval of the members of Parliament.