Step 1: Understanding the Concept:
The question asks about the appointing authority for a Marriage Registrar for a district under the Indian Christian Marriage Act, 1872.
Step 2: Detailed Explanation:
Part II of the Indian Christian Marriage Act, 1872, deals with the "Time and Place at which Marriages may be solemnized." Section 7 of this Act states:
"The State Government may appoint one or more Christians, either by name or as holding any office for the time being, to be the Marriage Registrar or Marriage Registrars for any district subject to its administration."
This provision clearly vests the power of appointment of the Marriage Registrar in the State Government. The other options are incorrect as the Central Government, Clergy, or High Court do not have this specific authority under the Act.
Step 3: Final Answer:
The State Government is the authority responsible for appointing the Marriage Registrar under the Christian Marriage Act, 1872.
Match List-I with List-II 
Match List-I with List-II 