Loyola College

Loyola College conducts Bachelor of Business Administration, which is a three-year full-time undergraduate course approved by AICTE.
Eligibility:
Candidates seeking admission into this course should have cleared 10 + 2 from a recognized institute.

Hi Ketan, you can check the link below to find out eligibility criteria of the course you want to pursue
https://www.shiksha.com/college/loyola-college-lc-Chennai-nungambakkam-1108?q=Loyola+College+(+LC+Chennai+)&rf=searchwidget&landing=ilp.

Yes, I think you can pursue M.Sc in Food Technology.

Hi Devi!
The total fee for the course is Rs 30,930.

Dear Ranjeeta,
It doesn't accept CMAT but only accepts CAT with 86 percentile and XAT with 80 percentile. Please refer the below link –
https://www.shiksha.com/mba/course/post-graduate-diploma-in-management-loyola-institute-of-business-administration-nungambakkam-Chennai-187300

Economics (including Micro Economics, Macro Economics, and Problems of Indian Economy), Accounting (including Financial Accounting, Corporate Accounting, Cost Accounting, and Management Accounting)
Business Statistics and Mathematics
Business organisation, Management, Business Law, Company Law and Income Tax Law
General Knowledge and Current Affairs.

Yes, you can get admission in BA.

To get into B.Com at St. Xavier's College, Mumbai you need to be an employed student, only evening classes are scheduled for B.Com and also, the cutoff ranges from 89-95%.

You will get a seat surely in those colleges, but you may not get a completely free seat, it may be management quota or some amount of concessions in fees. I would suggest that you get counselling for TSICET and if it turns up good then you can try Bhavans or Loyola College. I'm saying this cause I got TSICET 706 rank, but went to do MBA in a B school instead.