Central Bank of a country does not deal with State Government.

Explanation:
Central Bank is the apex financial institution of a country that controls and regulates the money supply in the economy. It performs various functions for maintaining the stability and growth of the economy. However, it does not deal with the State Government directly, as the state government has its own financial institution known as State Bank of India (SBI).

The Central Bank of a country deals with the following entities:

Public:
Central Bank of a country deals with the public directly by providing various financial services like opening bank accounts, providing loans, issuing currency notes, etc.

Central Government:
Central Bank is also responsible for dealing with the Central Government of the country. It performs various functions like managing the government's accounts, issuing and managing government securities like bonds and treasury bills, etc.

Commercial Banks:
Central Bank is responsible for regulating and supervising commercial banks in the country. It provides loans and advances to commercial banks and also acts as a lender of the last resort.

Conclusion:
Although the Central Bank of a country does not deal with the State Government directly, it indirectly affects the state government by regulating and controlling the money supply in the economy.

It doesn't deal with public because for dealing with public there are many other banks regulated by central bank.