MBA Entrance Exam

Hi,
You can go for TIME, IMS and Carrer Launcher.

If you want to do MBA from a good college then you must appear for entrance exams like CAT, CMAT, etc. Some good colleges also have their own entrance exams.
If a college takes you without any entrance exam, don't go for those colleges as they are not good.

TIME Institute is the best option for the preparation of CAT exam as they provide good guidance. They also conduct model exams every week and once the syllabus is over, every day they conduct model exams for 2 to 3 weeks.

I would recommend UEM-Kolkata as per your location as this is a private college and many have their own exam for qualification and the University of Engineering and Management provides the best infrastructure with good placement assistance with low fee structure.

Check out this list:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-kolkata/2-2-0-130-0
I am sure it will help.

Yes, you can get admission in a good management college on the basis of May MAT score.