Hello Aspirant,

See on such rank you have very low chances of any of the NITs or IIITS but you have good chances of getting some GFTIs through CSAB counselling.

If we go through previous year's data of seat allotment On the basis of data mentioned in the question by you, you can go for the enlisted colleges :-

Gurukula Kangri Vishwavidyalaya, Haridwar

Assam University, Silchar

Indian Institute of Carpet Technology, Bhadohi

And some more. You can check out previous year's cut-offs from the official website of CSAB as given below :-

https://admissions.nic.in/csabspl/csabsplresult/result/CurrentORCR.aspx

Note that the above list is merely a prediction which has been made on the basis of latest cut-offs available on official website of either JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2021 result :-

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

I hope this information helps you.

Good Luck for your future!!