Hello Aspirant,

See the cut-offs keep changing every year and this year also we saw a slight dip in the cut-offs but counselling is yet to be conducted so it would be bit difficult to provide you the exact list of colleges that you can get on the basis of your JEE-Advance rank but yes if we consider the previous year's data and align it with overall cut-offs of this year then we can provide you the list colleges that you can expect on such JEE-Advance rank.

According to the category rank mentioned by you in the question you have good chances of getting the enlisted colleges :-

IIT BHU

IIT Mandi

IIT Palakkad

IIT Bhilai

IIT Jammu

And some more. You can check out previous year's cut-offs from the link given below :-

https://josaa.nic.in/Result/Result/currentorcr.aspx

Or you can also refer to the link given below for previous years JEE-Advanced cut-off for IITs :-

https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits

To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Advance College Predictor:-

https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!