MBA/PGDM

Yes, they will be accepting MAT score card of February for admission.

https://www.quora.com/What-are-some-good-colleges-for-96-percentile-in-MAT-Which-college-is-the-best-I-can-get-into
Check out these two links. Actually, your score is a really good one. So try to apply to all colleges that come in the top 10 or 20 in the country. Only thing you have to make sure is that those colleges accept MAT scores for MBA as for MBA some colleges accept only CAT, KMAT or CMAT. MAT is mostly accepted for PGDM.
All the best

Actually MAT exam is for pursuing PGDM. If you wish to enroll in MBA, you should attend CAT KMAT or CMAT. According to your score, you can apply for PGDM. If that is okay for you, then you can go ahead. But, if you are keen on doing MBA, then you should attend any one of the 3 tests mentioned above.

After graduation, MBA can be done anytime. You can pursue your management degree even after M.Com/MA (both)
CA/CS/CFO/CWA
MBBS
M.TECH/M.SC (BOTH)
Masters in mass communication.

Any top B School might not give you admission as your class 10th and class 12th percentages are very low. You can still try giving CAT ,MAT, ZAT any many such exams and as per the percentile, you can decide the college whichever takes you in.

You may get admission in Graphic Era University, Doon Business School, Quantum School of Business, etc.

As far as your percentile is concerned some colleges accepting MAT at this score are:
Alliance School of Business, Alliance University, Bengaluru
Indus Business School (IIEBM), Pune
Indus Business Academy (IBA), Bengaluru
International School of Management Excellence (ISME), Bengaluru
Balaji Institute of Modern Management (BIMM), Pune
Xavier Institute of Management and Entrepreneurship (XIME), Bengaluru
Institute of Finance and International Management (IFIM), Bengaluru
Institute of Public Enterprise (IPE), Hyderabad
Christ University, Bangalore.

Hi Aswin,Please confirm the category in which you will apply for the course. Please find the link below for the cut off:
https://www.shiksha.com/mba/mat-exam-cutoff.

Hi,Some of the top colleges in which there's a chance:
International School of Business & Media (ISB&M), Pune
Universal Business School (UBS), Mumbai. Institute of Technology & Management (ITM), Navi Mumbai
University of Petroleum & Energy Studies (UPES), DehradunXavier Institute of Management and Entrepreneurship (XIME), Bengaluru.