As you have said that you are not so much worry about which branch will you get in nit Trichy. With 95.04 percentile in OBC category. If you said rank then it was easier to say which branch you would get . 

Well if I see previous year rankings then it maximum upto 9000 in home state quota and upto 6000 in other state quota.

So if you have under this rank then you are eligible for it .

Thank you.