MAT Scores

Some of the colleges as per your score are:
1. Universal Business School, Sion, Mumbai
2. Lovely Professional University, Jalandhar
3. Lovely Professional University
4. SSN School of Management (SSN SOM)
5. University of Petroleum and Energy Studies
6. GITAM Institute of Management, Hyderabad
7. Jagran Institute of Communication and Management, Bhopal

Score above 600 is considered a good score. You can try for good colleges but at the same time you should also give Feb-MAT.
Some of the colleges with your score are:
Universal Business School, Sion, Mumbai
Lovely Professional University, Jalandhar
Lovely Professional University
SSN School of Management (SSN SOM)
University of Petroleum and Energy Studies
GITAM Institute of Management, Hyderabad
Jagran Institute of Communication and Management, Bhopal

I don't think that this score will take you any close to a good institution. you have the option of taking it again but i don't know if you will make a marked improvement on this score. Generally Aptitude tests are the test of what has been learnt over the last number of years as they reflect your aptitude for higher studies. But you should try it anyways and see how it goes.
All the best !

Tapmi does not consider mat scores for admission

In 2015 the cutoff for PGDM main course was 75 percentile for CAT and 80 percentile for MAT. As you have a fairly high score in MAT there is a high probability that you can get admission in PGDM main course. As regarding specialization , First year of PGDM is common for all students and option to choose desired specialization would be given in second year, so you can choose specialization of your choice.

You should give the MAT exam again. As with this score you will not be able to get good colleges.

You can look for these colleges:
Lovely Professional University, Jalandhar
Universal Business School, Sion, Mumbai
SSN School of Management (SSN SOM), Old Mahabalipuram Road, Chennai
Jaipur National University (JNU), Jaipur
GNA University, Phagwara
University of Petroleum and Energy Studies (Admission Office), Okhla, Delhi
you can also follow the link below for more information:-
https://www.shiksha.com/mba/colleges/mba-colleges-in-pune-accepting-mat-score

Mat percentile wise i guess u will be on boundary, but a frndly advice, people with less than 60 percent in graduation face a lot of difficulty in getting placement so please keep that in mind