Department of Management Sciences Pune University (PUMBA) Ganeshkhind Answered Questions

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Work on Research Methodology, General Aptitude, Statistics and Probability, Domain Knowledge of MBA or Graduation Specialization for Ph.D preparation. Best Regards.

Yes, they do accept MAT for MBA as you have scored 98.11 percentile. You are one edge upper than average and chances of selection are higher. So proceed and apply for the further steps of admission process.
Best colleges for management amongst top 50 you can check for:
1) Great Lakes Chennai
2) Rajagiri Centre for Business Studies, Kochi (Scholarship available for Meritorious Students)
3) Christ University, Bangalore
4) LIBM, Chennai
5) Tezpur University (Central University)

To get admission into PUMBA, you need to have percentile above 97 irrespective of any examination you have appeared for. You have got 94 percentile in MAT, so all I can say just wait for the cut off to break down. For getting admission into PUMBA currently your scenario is 50-50.

For a non-Maharashtra students, it is very rare that one will get admission through CAT score, because the DTE consider all the exams like GMAT, ATMA at the same level and cut off for which is above 98%. So, mostly the students with percentile in MAT and ATMA will get the admission above 98 percentile.