BBA

It is around 60%.

The cut off is around 60%

You can get through management quota also.

According to me, NMIMS will be a better option as it is accredited with grade A+ by NAAC. Also it has an amazing infrastructure and a good placement record.

Shaheed Sukhdev College of Business Studies,
Jamia Millia Islamia [JMI],
Ganga Technical Campus,
Shaheed Rajguru College of Applied Sciences for Women,
IIMT Studies- International Institute of Management and Technical Studies, Ghaziabad and
IGNOU - Indira Gandhi National Open University.

Students get admissions to the BMS/BBA and B. M. courses at St. Xavier College through Entrance Exam and Interview. All UG and PG admissions in this college are valid only for one year and are therefore to be renewed for each subsequent year of study.

https://www.shiksha.com/college/khallikote-autonomous-college-khallikote-university-Brahmapur-22722/course-bachelor-of-business-administration-b-b-a-378009
You can check admission details on above link. This will help you.

https://www.shiksha.com/university/st-xavier-s-university-kolkata-53346/admission you can check some details in link.

Yes, girls hostel are available
and fees structure start from Rs 90000.

Yes, it is available.