Step 1:
For Government Companies, the first auditor is appointed by the Comptroller and Auditor General (CAG) of India.
Step 2:
As per Companies Act, 2013:
\[
\text{CAG must appoint the first auditor within 60 days of registration}
\]
Step 3:
If CAG fails to appoint within 60 days, Board of Directors shall appoint auditor within next 30 days.
Step 4:
Hence, the correct answer is:
\[
\boxed{\text{(4) 60 days of registration}}
\]