Hello..!
Civil engineering is most fancy stream in the Engineering. I mean a civil engineer can give most of the exams. If any exams asked for B.tech as qualification then most of the time civil engineer can apply for that exam. Here is the list of some important government jobs for which a civil engineer can apply:-

Civil services:- Most famous exam now a days. You can see that in the results, Mostly qualified students are engineer and most of them are civil engineer.

State PSC

SSC :-Staff service commission, again a famous option for a civil engineer.

Gate :-Many PSU recruit through Gate, here is some names :- Indian Oil Corporation Ltd (IOCL), NTPC Ltd, GAIL India Ltd, ONGC, Power Grid Corporation Of India, NPCIL, POSOCO, DDA and many more. They also give remarkable package.

IES :-Indian engineering service conducted by UPSC.

IBPS :-Banking is like a sadabahar option for civil engineer. So many exams conducted by IBPS throughout the year. More exams more opportunities.

AEN/JEN :-Assistant engineer/ junior engineer in many state department.

AIRPORT AUTHORITY OF INDIA:-Airport authority also conduct exams for selection of engineers.

LECTURER:-Many exams are conducted for the selection of lecturer post in many Govt. Engineer College.

These are some Govt. Exams available for civil engineer. In my opinion civil engineers have the wide scope for the selection of jobs.
Hope this helps you!
Regards!