Dear Teja

Engineering is the best course after that so many government sector job posts in which you can apply with respect to the entrance exam are follows:

1.PSU entrance exam

through the PSU entrance exam you can apply for the job posts under the government companies like :

SAIL
GAIL
DRDO
EIL
ECIL
MTNL etc...

2. JTO entrance exam

through the JTO entrance exam you can apply for the job post under the BSNL department held in month of febuary.

3. CDS entrance exam for the job posts under the defense services like Indian Army, Indian navy, AIrforce etc for the job posts like :

Technical department
PIlot post
Ground floor department etc...

4.ISRO department job postthrough the ISRO entrance exam has been conducted by ISRO department .

so these are some government department job posts which you can apply through the respective entrance exam.
Hope, you satisfied with my answers.
All the best.