Correct Option (C):
The Constitution of India, under Article 156, states that the Governor holds office during the pleasure of the President. However, it does not lay down any specific procedure or grounds for the removal of a Governor from their post. The President exercises this power on the advice of the Union Council of Ministers.
Incorrect Options:
Option (A): Article 153 of the Constitution states that there shall be a Governor for each State. The Seventh Constitutional Amendment Act of 1956 added a proviso to Article 153, enabling the appointment of the same person as Governor for two or more States. Therefore, a single person can be appointed as Governor for multiple states simultaneously.
Option (B): Judges of a High Court are appointed by the President of India. Article 217 specifies that the President appoints High Court judges after consultation with the Chief Justice of India, the Governor of the State, and in the case of appointment of a judge other than the Chief Justice, the Chief Justice of the High Court. The Governor does not appoint High Court judges.
Option (D): In Union Territories with a legislative assembly, such as Delhi and Puducherry, the Chief Minister is appointed by the President of India. This is explicitly stated in constitutional provisions like Article 239AA for Delhi, and similar provisions for other UTs with legislative setups. The Lieutenant Governor administers the Union Territory, but the appointment of the Chief Minister is a presidential function.