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Hello Aspirant,
If we go through closing CRL ranks of last year then it clearly shows that closing CRL ranks were around 1000-1500 and your CRL rank is even beyond 10k so you have very less chances of getting into any of the NITs .
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
So on such category rank you have to go for private colleges or you can prepare for further attempts of JEE-Main and to help you in your preparation we have some resources which you can access from the link given below :-
B.Tech/B.Arch Admissions OPEN
https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA
Note that the above prediction is made on the basis of latest cut-offs available on official website of 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.
To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Main College Predictor:-
https://engineering.careers360.com/jee-main-architecture-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck for your future!!
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