Colleges in Bhagalpur

First of all dear, your rank is too low and it's not about college but cutoff dosen't goes that much low. I am not sure but if help you in choice fillup and you are ready to take risk till last you may get a seat in special round or in some case if seat is left they may consider you. But you have to be patient and smart for it. Your chance of getting a seat in IIIT or in NIT is near to 0 but still you can try.

Candidates must have passed 10+2 examination.

From which subject and in which class?
Yes, you can join TNB College but which subject do you wish to study from is something you have not mentioned.

IIIT-Bhagalpur is definitely better being mentored by IIT Guwahati and permanent campus started building. Leave the IIIT tag alone, it provides best facilities, approved by MHRD as institute of National Importance.

Yes, you can apply for BCA (H) in this college. You can apply for admission.
Good luck!

Yes, you can get admission in this college, so apply for admission.

You are eligible to apply for the course for sure. The condition either is 50% or 45% just to be eligible to apply. The concerned college might be having a high Merit List when all applications are compared, but with 68% you certainly do not need to worry about your eligibility.

Yes, you are eligible for this college.
Apply for this college.

Yes, you can join, but if your percentage in mathematics is less than 66%, then maybe not.