The correct answer is option 1, i.e. 1/4th members of either House of Parliament. Impeachment is a process for removing the President from office, and it can be initiated by a specific number of members of Parliament. Option 2, which states half of the members of either House of Parliament, is incorrect. Similarly, option 3 stating half of the State Legislatures is also incorrect. The right answer is 1/4th members of either House of Parliament. Lastly, option 4 suggesting 1/3rd members of any State Legislature is also incorrect. It`s important to note that the provided answer is generally correct, but some additional information could be helpful, such as the total number of members needed to initiate an impeachment.