Business Management Studies

You can strike of colleges which do not fit your range from the link below:
https://www.shiksha.com/mba/colleges/mba-in-finance-colleges-Pune.

The pattern is same like any other entrance examination for the subject, hence your preparation should also go in the general direction. Solve previous years of CAT/MAT, and you will be good to go. Hope this helps.

Yes, you are eligible. Do well in GD PI rounds.

Alliance University is known for its MBA program, which is one of its kind. You can check it out here- https://bus.alliance.edu.in/
The average package for this year has been between INR 5 lakh - INR 7 lakh.
The internal dispute did create a lot of disturbance but now everything is perfectly normal. The management has taken care that student's life, education and career is in no way disrupted.

MAH-CET 2018 registration and application had been opened on Monday, January 22, and was closed on February 14, 2018. The State Common Entrance Cell DTE Maharashtra has announced the MAH MBA/MS CET 2018 exam schedule, which will be held on March 10th & March 11, 2018 across the country.

You need to have at least a 3 years Bachelor's degree in any discipline to be eligible for a MBA course admission. Your Diploma will not help. With your TTM Diploma, you can enroll for a management Diploma course.

No, there is no such type of course available.

You can choose any stream in BBA for doing MBA in future. As you can do MBA by only completing your graduation in any stream. They only need graduation. So, you can choose graduation according to your interest.