B.A

There is no different procedure for government colleges. The cut-offs are declared at general depending on the course & college.

Here are a lot of courses after graduation-
Sales and Marketing
Management
CS/ CA/ CFA/CWA
Computer Courses: MCA/Animation/Web Design
Mass Communication And Journalism/Advertising
Hotel Management
Travel and Tourism
Civil Aviation: Air Hostess/ Commercial Pilot
Social Work
Law
Banking & Finance
Library Science
Teaching: B.Ed
Designing(Garment/Jewellery/Foot Wear/Interior designer)
Content/Technical Content Writing
BPO/KPO
Entrepreneurship
MBA Courses
Animation Courses
Banking and Finance Courses
Computer Courses

Here is the list of mass communication colleges in Hyderabad:
ROOTS Collegium
Amity Directorate of Distance and Online Education, Amity University
International Academy for Certification and Training (IACT)
Film and Television Institute of Hyderabad

You are advised to appear for Combined Defence Services (CDS) Examination conducted by UPSC to join as an Officer after BA honors economics. You will not be eligible for training at IMA as a women candidate. You will be trained at OTA-Chennai. If you have NCC C certificate, you can directly appear for service selection board by processing application via Directorate of NCC under the Ministry of Defense.

Rather than government colleges, you must ask for universities because not many colleges provide mass communication.
IAS/ Civil services are a good option for humanities, and that too for leading social sciences. Mass communication student will has one positive point over others in IAS that, he will have good knowledge of current affairs.

Dear,
Most of the universities having eligibility for the same that is (physics, chemistry and maths or commerce with maths subject).
If you are having the math subject in humanities then you need to check the eligibility from a particular university in which you want to apply.
All the best.

Dear,
You need to approach the Registrar office of your college and submit the application for the same.
All the best

Dear,
If you want to start preparations for IAS from the 1st-year than you can think of these options:
Political Science
History
Sociology
Philosophy
But you can think of these programmes in regular mode as your plan-B for your career if you are not able to clear IAS:
BA LLB
Psychology
Journalism
Special education
English (Hons.)
So choose the right way for your future.
All the best!