B.A

56 was the last year's cut-off.

Yes, School of Distance Education, Bharati Vidyapeeth University, Navi Peth offers BA course.
For details refer the link: https://www.shiksha.com/humanities-social-sciences/course/b-a-school-of-distance-education-bharati-vidyapeeth-university-navi-peth-pune-65479

Hi Kritish,
Yes you can apply for the apply for the course. Admission to UG courses offered by MES College of Arts Commerce and Science is based on merit. Candidates must have passed the 10+2 examination or equivalent from a recognized board to secure admission. Aspirants should have secured a minimum 50% Aggregate with English as a subject.
Candidates who have passed the Pre-University Examination of Karnataka or the 10+2 examination from a recognized board of education are eligible for admission.
Candidates will be selected on the basis of their marks in the qualifying exam.
Thanks

Actually, the cut off is different for different states. I can tell you about cut off at RIE Bhubaneswar. The previous year in RIE CEE cut off for B.A. B.Ed for OBC candidates were (out of 160)
Odisha-79.5
Jharkhand-74.4
Bihar-74.9
West Bengal-75.5
North east and Andaman Nicobar-68.9.

You need to have passed 10+2 from a recognised university. Yes, hostel facility is available in the college.

Hi Monika, Please go through the link below for detailed information on the eligibility criteria for the same:
https://www.shiksha.com/teaching-education/exams/ctet
Thanks.