Colleges in Mumbai

Yes, you definitely have a good chance of getting in IBS Mumbai. As far as your marks are concerned they are very good. The only problem you might face at the time of placements is that some of the companies have an eligibility criteria of 60% and above in SSC, HSC and Graduation. Rest is all good as only few FMCG companies and some of the banks have this criteria. You are 100% fit and eligible for MBA and getting good placements by looking at the academic records .

IIT Bombay is a premier business school and accepts only CAT score.

PGDM course is designed for all from fresher to experienced.
We have students from fresher to 4 years of experience
22% of students are freshers and there is a good exposure for freshers in KJ SIMSR
For more information refer brochure:
https://www.somaiya.edu/media/pdf/PGDM_Admissions_Brochure_2017-19.pdf
Online Application Form:
http://simsr.somaiya.edu/simsr/adm/pgdm17/onlineform/login.aspx
Placement Report:
https://www.somaiya.edu/media/pdf/Placement_Report_2015-16.pdf

Welingkar Bangalore and Christ Bangalore are decent college wher eyou may have chances, BITS pilani has higher cutoff, Welingkar Mumbai goes above 80percentile.

It is an average college for MBA. I would suggest you to try for a better college depending upon your management exams scores. Try for a college with a good brand name and good placements track record.

CAT cut-off was 99.96 percentile. Average placement package for 2016 was Rs 10.6 lakhs per annum.

No, KJ Somaiya accepts CAT, XAT, CMAT and MH CET scores for MMS and PGDM programs.

BBA is not provided here, Although B.Com, B.Sc, BMS, BMM and other post graduation courses are offered.
https://www.shiksha.com/St-Xavier-S-College-Mumbai-courses-offered-details-institute-college-listingcoursetab-1184