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The correct statement regarding the office of the Speaker is option 4, "3 only".
Option 1 states that the Speaker holds office during the pleasure of the President. This statement is incorrect. In fact, the Speaker holds office until the next Lok Sabha is constituted or if he/she resigns or is removed by a resolution passed by an absolute majority of the House.
Option 2 states that the Speaker need not be a member of the House at the time of his/her election but has to become a member within six months. This statement is correct. According to Article 94 of the Constitution, a person can be chosen as the Speaker even if he/she is not a member of the House at the time of the election. However, within six months of being chosen as the Speaker, he/she must become a member of the House, otherwise, the seat becomes vacant.
Option 3 states that if the Speaker intends to resign, the letter of resignation has to be addressed to the Deputy Speaker. This statement is incorrect. If the Speaker intends to resign, the letter of resignation should be addressed to the Deputy Speaker.
Therefore, the correct answer is option 4, "3 only".