MBA Eligibility

It is decent but not ranked amongst top 70 to qualify as good college for placements. Get probable list of coll below:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india-accepting-cmat/2-2-0-0-5822.

You are not eligible. The minimum score required is percentile for PGDM course and 92 percentile for MS You can re-appear and get a decent score.

Chances are low but you can apply for sure as your reserved category falls under low cut-off range. So wish you good luck ahead for CAP rounds through DTE.

Check the link https://www.shiksha.com/college/mit-school-of-business-mitsob-kothrud-pune-28616 to get the admission process and fees structure of MIT school of business Pune.

Following courses are provided:
https://www.shiksha.com/college/veermata-jijabai-technological-institute-matunga-west-Mumbai-19301/courses?ct[]=151&lo[]=254.

Chances moderate, though wait till last rounds of counselling, seats may get vacant in case people not interested and opting for better opportunities ahead.

Best government management college accept MAT score are:
-Balaji Institute of Modern Management, Pune. -Guru Gobind Singh Indraprastha University, Delhi. -Sydenham Institute of Management Studies, Research and Entrepreneurship Education, Mumbai. -PSG Institute of Management, Coimbatore.

Field will be opposite but you can go for it.

IIM Bangalore
IIM Calcutta
Pumba
SIMSREE
JBIMS
Welingkar
Symbiosis
Sri Balaji Society are few of the topmost colleges for pursuing World Class MBA Education.
For securing your chances, I would rather endorse you to focus only upon Maharashtra CET MBA Entrance examination and at least score 99+ percentile. Best Regards.