BCA

It depends upon the college so according to me the college that you are asking about does not give good placements so go for a better college.

Dear Pritam,
BCA is better when compared with other degrees. BCA is often seen as a course equivalent to BE or B.Tech. In computer science. This course provides the required skills and enable the students to get themselves employed in the Information Technology (IT) sector. After the successful completion of BCA, a student will be able to choose from numerous career options in various fields like Software development, ITES, Banks, Education, Government Departments, etc.

Yes, this college offers sports quota for this course.

Dear Vishwas,
Please find the below link to see courses in BCA and career prospects with other information about the course:
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/bca-bachelor-of-computer-applications-chp&ved=2ahUKEwjf_9z5lsPiAhUb8HMBHXY0A2QQFjAAegQIARAB&usg=AOvVaw09Q3IdpISZ0Kw_kAqB34Hf&cshid=1559216739553

Hello Aditya,
You may refer to the link below for the list BCA colleges in Mumbai:
https://www.shiksha.com/it-software/colleges/bca-colleges-Mumbai-all
For Navi Mumbai:
https://www.shiksha.com/it-software/colleges/bca-colleges-navi-Mumbai

Fee structure of BCA (Regular)
76500+20000x5=176,500
BCA (Professional)
81700+25200x5=207,700

Here are the colleges:
1. College of Engineering, Pune.
2. Singhad Academy of Engineering.
3. Dr D.Y Patil College of Engineering.
4. Abhinav College of Engineering and Polytechnic.
Hope this helps.

No, you can't apply for direct admission in the second year of BCA. You have to start from the first year itself.
Good luck.

Yes, you can get BCA without maths. There are some colleges who don't take entrance for admission, you can apply there.