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There is no cut-off as such however the eligibility criteria varies from course to course. If the eligibility criteria mention that the candidate should have studied a certain subject in 11th & 12th then your performance in the said subject becomes an important factor, however, there are exceptions for this case too. Your admission in this University is actually a steal deal, if you do manage to secure a seat then go for it without having second thoughts provided if don't already have a seat secured in institutes of the stature of IISc, IISER, NISER etc. For your B.Sc the main thing that a personal interview for a B.Sc. Course tries to ascertain is your aptitude for the subject of your choice. While your previous academic performance might provide meaningful insight into your aptitude it does not necessarily mean that you are fit to pursue that discipline. Pursuing science for higher studies requires more than just marks, it requires will and the ability to enjoy the subject for the duration of your studies. If your thinking that how can a panel of professors ascertain that in a 15 min interview, to be honest: they just know, just the same way a blacksmith knows the quality of metal by giving it a gentle tap.

Yes, you will get this branch but under second or third category in which you have to pay more for that. Let me explain you the admission system here. Rank in VIT to get admission should be 90,000, so you can get admission in VIT from the 6th category as well. There are various categories as well. With each category admission, fees go high. First category closed till 15,000 rank, and you can get CSE till 9000 rank and IT till 11000 rank, but there are 2nd category as well, if you want CSE, but you have to pay more for that. Predict engineering colleges you can get on the basis of your JEE Rank: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=8321427.