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Best college for BCA in India is Christ University, Bangalore. Top BCA Colleges in India are mentioned at the link provided below. Regards. https://www.shiksha.com/it-software/ranking/top-bca-colleges-in-india/96-2-0-0-0.

Hi, all the colleges are pretty good but I would suggest going for IEM if possible. Please see below comparison as well.
Link: https://www.shiksha.com/resources/college-comparison-89287-237660.

No, Loyola does not offer correspondence MCA course, it only offers regular MCA, follow the link below for details:
https://www.shiksha.com/college/loyola-college-lc-chennai-nungambakkam-1108/courses?bc[]=103&ct[]=64&lo[]=456

Yes, you can if you have maths in HSC.

Yes, there are few colleges which dosen't require maths in 10+2 but if you applying for MCA then you have to study maths in BCA, and its easy to study maths.

https://www.shiksha.com/it-software/articles/top-specialisations-you-can-opt-for-after-bca-blogId-12966
Check out this link to make a right decision.

BCA per year fee from New Horizon College, Kasturinagar is INR 51,333.

BCA from both regular or open university is of 3 years.

Dear Naveen, generally students with Arts, Commerce background prefer going for MCA if they want to do a technical degree. Students with B.Tech, BBA etc. Prefer going for MBA. After the degree your preference should be college. Prefer a college that have valid accreditation, highly qualified faculty, etc. There are universities like LPU, Symbiosis, Nirma, etc. That are offering the both the courses with specializations. These universities have wonderful infrastructure with all the modern amenities for students that make learning worth. Some even offer good scholarships to students. Check their websites for more details. Good luck.

Visit the link given below to get complete details about BCA:
https://www.google.co.in/amp/s/www.shiksha.com/it-software/articles/amp/what-do-you-study-in-a-bca-course-syllabus-overview-blogId-13479
Exam dates vary as per the institution. Check the official website of the college.