Colleges in Hyderabad

Yes, they offer MA in communication
https://www.shiksha.com/mass-communication-media/course/m-a-in-communication-university-of-Hyderabad-gachibowli-82763

University of Hyderabad is a well known university and doing your masters would be a great decision. placements would depend on numerous factors. under present economic condition placements at most of the colleges are really low . maybe next year it would pickup

Go to their website. Check eligibility criteria. Calculate your overall mark up to now. And check whether you are eligible.

Hello, kindly look for IBS Mumbai (if you are specifically looking for it) rather than Hyderabad, due to placements and fees as well.

Mumbai is the best and Bangalore is the second best. Have a look:
https://www.shiksha.com/bba/course/b-b-a-nmims-anil-surendra-modi-school-of-commerce-vile-parle-west-Mumbai-130133.

Management quota is risky and not advisable, the amount they charge solely depends on the management. The specialisation should be chosen according to your interest. Marketing and finance are the top choices and have good career prospects.

For more details, kindly visit the link mentioned below:
https://www.shiksha.com/mba/course/pgdm-in-marketing-management-international-school-of-business-and-media-nande-Pune-164937.

XIMB is way better and AICTE approved and has average salaries of 10-12 LPA with 95% sure shot placements. https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india/2-2-0-0-0.

The M.A. entrance examination will be based on OMR and will consists 100 objective MCQ questions of one mark each. The components of entrance examination will be Comprehension 30 marks; Arithmetic & Reasoning 25 marks; Literary Passage 20 marks; and Current Affairs 25 marks.
In my opinion 30 days are not enough for entrance exam, you needs at least two months (15 days for each entrance exam components).