St. Xavier's College, Mumbai

No, it's not possible to get into Xavier's with that score.

Hello Sejal,
Admission is through counselling based on the rank obtained in Maharashtra State Common Entrance Test (MHTCET). Vacant seats will be filled by the institute based on the rank obtained in JEE-Mains.
For more information please visit the link below:
https://www.shiksha.com/college/thakur-college-of-engineering-and-technology-kandivali-east-Mumbai-47539/admission

Dear Ashwit,
Yes your board score affect your admission. Your sports articles for a website called Sportskeeda and have around 1.5 lakhs readers helps you a lot in your career and it also boost your chances.
Regards

St. Xavier's Mumbai takes admission in B.A which is based on percentage cut off. This cut off is taken by the all over percentage of your class 12th.

You can follow up the below given link:
http://xaviers.edu/main/index.php/admissions-and-courses?showall=&start=2
All the best.

See to get into St. Xavier's for junior college with 85% is a tough move. They have in-house quota, state board quota. Still I would suggest you to apply for it and to some other colleges as well.
All the best!

Xavier's College Mumbai does not provide any course such as B.Sc psychology. B.A. Psychology is the available course.

No, BMM and BMS are purely entrance based courses at Xavier's.

No, your score is pretty low to get in. I would advice you to apply for different colleges.

See getting into Xavier's for JC arts is quite tough. Usually the cut-off for this ranges from 90% to 95%.
Above to that in-house students get the 1st preference with a quota.
But since you have good profile with sports quota, you must give it a try. Maybe you will get in. All the best!