BCA

Here you go:
http://www.bca.gnu.ac.in/exam-papers-sem1

https://www.shiksha.com/university/svu-sri-venkateswara-university/amp/svucet-exam
Use the link to know about the details of the exam.

Eligibility Criteria required for admission :
Minimum 50% requierd in class 12th with Mandatory Subjects : English, Mathematics
Candidate must have passed mandatory subjects with Computer Science / Informatics Practice / Computer Applications / Multimedia & Web Technology / Data Management Application

Well, I must say that you will get admission here surely.
Here is the link for the detailed procedure of getting admission here
https://www.shiksha.com/college/dav-college-chandigarh-davchd-1623/admission?streamId=8

Dr. BMN College of Home Science
Chandrabhan Sharma College of Science and Commerce
National Institute of Management
These are the top colleges for BCA in Mumbai.

Admissions will open from mid of June.
Good luck!

According to my knowledge, you should do BCA from United Institute of Management. They will provide you good facility.

Hello,
Please find below the link for best colleges for BCA in Patna:
https://www.shiksha.com/it-software/colleges/bca-colleges-Patna
However, maths is compulsory, but it is not much hard.

Hello,
In Kolkata, there are a lot of colleges for BCA. Refer the following link:
https://www.shiksha.com/it-software/colleges/bca-colleges-Kolkata

The syllabus includes full couse of class 11th and 12th maths from any board.
A thorough understanding of logical reasoning questions, Computer science fundamentals like C+, General knowledge and lastly basic English- reading comprehension and vocabulary.