Option (1) is incorrect: The Chairman and other members of a Public Service Commission shall be appointed, in the case of the Union Commission, by the President.
Option (2) is incorrect: The Chairman of Union Public Service Commission shall be appointed by the President without consultation of the Governor.
Option (3) is correct:The Chairman and other members of a Public Service Commission shall be appointed, in the case of the State Commission, by the Governor of the State.
Option (4) is incorrect: The Chairman of Union Public Service Commission shall be appointed by the President without consultation of the Governor.