Detailed Explanation:

The Central Bank (RBI in India) performs three core functions: it manages the repo rate to control inflation and liquidity in the economy, lends to commercial banks through repo, Marginal Standing Facility (MSF), and acts as lender of last resort, and provides banking facilities to the government including managing public debt, holding government accounts, issuing currency, and managing foreign exchange reserves.

All three options are correct functions of a central bank.