Hello Aspirant,

See on such rank it is very difficult to get any of the NITs with other state quota but you can go for some of the GFTIs

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 :-

Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur, (C.G.) - Civil Engineering (63309)

National Institute of Foundry & Forge Technology, Hatia, Ranchi - Metallurgy and Materials Engineering (62323)

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

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

You can also check out the JEE-Main 2021 cut-off and know whether you have qualified for JEE-Advance 2021 or not, so it is given below :-

==>> Common Rank List (CRL) - 87.8992241-100.0000000 Percentile

==>> GEN-EWS - 66.2214845-87.8950071 Percentile

==>> Other Backward Classes (OBC-NCL) - 68.0234447-87.8950071 Percentile

==>> Scheduled Caste (SC) - 46.8825338-87.8950071 Percentile

==>> Scheduled Tribe (ST) - 34.6728999-87.8474721 Percentile

==>> PwD - 0.0096375-87.8273359 Percentile

You can check more details about JEE-Main 2021 cut-offs from the link given below :-

https://engineering.careers360.com/articles/jee-main-cutoff

I hope this information helps you.

Good Luck for your future!!