VIT Vellore

Yes, you can easily get admission in integrated course in VIT Vellore with this score.

Rank of 282 in what? Admission in Integrated courses is based on the basis of 12th marks. So, you need not appear for any entrance test to get admission.

VIT accepts only VITEEE rank for getting admission in any of the B.Tech programmes. In order to get admission in any of the campus of VIT, you need to appear for VITEEE and based on your rank you can get admission in any of the campuses.

No, The admission is based on 12th marks.
VIT has entrance exam only for Admission in B.Tech and M.Tech (PG only) courses. And no entrance for any of the UG or Integrated courses.

If you want admission in Anna University, you should score more than 98% in 12th. To get admission in VIT, you need to appear for VITEEE exam and with a good rank in that, you can get admission.

VIT doesn't accept JEE Score. There is a separate entrance called VITEEE conducted by VIT to take admission in any of the B.Tech programmes. And the minimum eligibility is 60% in 12th boards.

There are very fewer chances for you to get admission in IITs.

The category will define the merit list of the students. The students will be called for counseling based on the scores. I could explain with the example saying Rank 1 to Rank 2000 will be put up in Category 1 and the category 2 will have rank holders between Rank 2001 to 3500 and the rest into category 3. The above mentioned ranks are mentioned for example and the actual split will be done by VIT admissions.