The correct option "Neither 1 nor 2" is accurate because while the Chief Secretary of a State is indeed appointed by the Governor, the appointment is made based on the advice of the Chief Minister and is not inherently a direct appointment by the Governor. Additionally, the Chief Secretary does not have a fixed tenure; their service is subject to the rules of the State government and can be altered at any time, dependent on administrative needs or political considerations. This reflects the broader principle of accountability and flexibility in the administrative structure of Indian states as outlined in various standard UPSC sources.