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 and rank mentioned by you in the question you have good chances of getting the enlisted colleges with different preparatory courses :-

Indian Institute of Technology Roorkee

Indian Institute of Technology, ISM Dhanbad

Indian Institute of Technology Patna

Indian Institute of Technology Madras

Indian Institute of Technology Kanpur

Indian Institute of Technology Mandi

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 JEE-Advance 2021 score you can use JEE-Advance College Predictor:-

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

JEE-Advance 2021 cut-offs are mentioned below :-

>>> Common rank list (CRL) - 10.0 (Minimum percentage of marks in each subject) - 35.0 (Minimum percentage of aggregate marks)

>>> GEN-EWS rank list - 9.0 - 31.5

>>> OBC-NCL rank list - 9.0 - 31.5

>>> SC rank list - 5.0 - 17.5

>>> ST rank list - 5.0 - 17.5

>>> CRL-PwD rank list - 5.0 - 17.5

>>> GEN-EWS-PwD rank list - 5.0 - 17.5

>>> OBC-NCL-PwD rank list - 5.0 - 17.5

>>> SC-PwD rank list - 5.0 - 17.5

>>> ST-PwD rank list - 5.0 - 17.5

>>> Preparatory course rank lists - 2.5 - 8.75

I hope this information helps you.

Good Luck!!