MBA Entrance Exam

MAT exam is conducted 4 times in a year.

There are some good colleges, accepting MAT scores in/around Mumbai. Some of them are:
ITM Business School, Kharghar.
Institute of Business Studies and Research, CBD Belapur.
Thakur Institute of Management Studies and Research, Kandivali.
Thadomal Shahani Centre for Management, Bandra.
Durgadevi Saraf Institute of Management Studies, Malad.
Vivekanand Education Society's Institute of Management Studies and Research, Chembur.

This is the link where you can see all the colleges with rating and fee structure:
https://www.shiksha.com/mba/ranking/top-mba-colleges-mumbai-all-accepting-mat/2-0-0-10224-306.
Some college are listed below.

You should mainly focus upon Quantitative Aptitude and Data Interpretation, Following by Logical Reasoning. Try to give small mock tests on individual sections every week. After two months of preparation, start giving complete mock test 5 times a month.

Cutoff for CET is 99.34 percentile.
Cutoff for CAT, CMAT is 99.94 percentile.

It is only possible if you are a fresher and have received admission from IIMA. IIMA has started a new initiative where they allow freshers to defer their admission for two years and they encourage them to gain some work experience during this time.

No doubt you may get direct admission in some colleges for MBA, but only if you want to get a seat in some of the reputed MBA colleges. You may have to appear for entrance exams like CAT, MAT, XAT, GMAT, etc.

Cap rounds is only for MMS. Mumbai University gives MBA degree with the name of MMS.

If you are asking about TANCET entrance , there is no such cut off mark. If seats are available during your counseling session, you can choose the course.

Yes, you can visit the website of DTE and in the left, there will be a column about vacancy of CAP 4. You can download that list and you can check about any college