MAT

Some colleges do not need entrance score. They only see your academic performance in your UG courses. Few more colleges can be selected by you in personal interview and some colleges organise their own entrance test at college level.

5.3?
You can still apply in Alliance University but they will not consider your MAT marks. You will have to follow the whole procedure of following the Alliance Entrance Test and other rounds to get your admission in the University.

You may refer to these guidelines to calculate your percentile:
https://www.shiksha.com/business-management-studies/articles/how-mat-score-and-percentile-are-calculated-blogId-14481.

Yes, you are eligible for it. You just have to go through the admission process and a personal interview.

To get into universities or top colleges, you are required to take CAT. But there are colleges that accept other exams like ATMA, CMAT. Colleges like NMIMS, Xavier, Symbiosis, IBS have their own entrance exams which are also accepted by some other colleges in the country. Check out these links:
https://www.shiksha.com/mba/colleges/mba-colleges-accepting-snap-india
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india-accepting-xat/2-2-0-0-309

In my opinion you will stand a better chance by applying next year if you plan to give the exam again. Else, just go for your profile evaluation for Global MBA programme offered by N.L Dalmia if you have a good past record and want to study with top international MBA institutions.

Mostly Current Affairs/News; New Business Trends; GD
Personal Interview: Questions on business concepts like forward integration, merchandising, etc.
You have secured a good percentile in MAT, congrats.
As the eligibility cut-off in TSM is 70%ile for male and 65%ile for female.

For MBA, seats will be mostly filled, once you get the final results for May MAT 2018 exam, just call our admission team.
PGDM seats will be available.
But the eligibility cut-off score is 70 percentile for male, and 65 percentile for female (MAT).

Yes, you can get admission in TSM, work experience is not a criterion to get admission for MBA/PGDM in TSM.
Eligibility cut-off in TSM:
MAT: 70 percentile (Male) and MAT: 65 percentile (Female).
Apply as soon as possible. Limited seats. 120 seats (MBA). 120 seats (PGDM).

Search for DTE Maharashtra website and go to MBA/MS 2018 admission and read all the notification. The process will start in the mid of May.