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Yes, surely you can get admission in VIPS in BCA according to the last cut off, as you are the candidate from Delhi it won't be difficult for you to get admission. But the cutoff varies every year so you keep a check in the cutoff revealed by the university and hope for the best.

Hello,
Here is the list of few colleges fulfilling your needs:
Indian Institute of Science
Indian Institute of Technology, Bombay
Indian Institute of Technology, Delhi
Indian Institute of Technology, Kanpur
Indian Institute of Technology, Kharagpur
Indian Institute of Technology, Roorkee
Banaras Hindu University
Center for Distance Education, Aligarh Muslim University
Indian Institute of Technology Guwahati
Indian Institute of Technology

Yes, you have secured a good rank in the entrance examination. There are chances that you can get TUTE, Lucknow for MCA. You just have to look around for the previous year's cutoff of the college.

Last year my rank was something 650 (don't remember exactly) in VITMEE MCA. I was allowed to attend the 1st counselling and had good chances of getting VIT Vellore (as they said), if not Vellore campus I would get Chennai. I don't know how this year's VITMEE MCA was but I think you'll get VIT Vellore.

Yes, you can do, you should have mathematics at 10+2 level and/or graduation.

Hello Akash,
I will suggest you to go for a professional course such as BBA or BMS as it will help you to open a wide range of opportunities.

You should have mathematics as a subject to apply for BCA. You cannot go for BCA.

You have to attend counselling process and fill your choice as soon as possible. It may chance that you can get KIET or other good private college.

Hello,
The eligibility to apply for BCA in the University of North Bengal is pass 10+2 in any stream with mathematics. It is a 3-year course and the fee is around 10800. Admission procedure depends on your written test and interview.
Thanks.