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Hello Aspirant,
Let me make you clear that from JEE-Advance score you can get IITs not NITs/IIITs. For admission to NITs/IIITs you must have secured a sufficient score in JEE-Main.
According to the rank and category mentioned by you in the question you have almost no chances of getting into any of the IITs.
Note that the above prediction is made on the basis of previous year's cut-off 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.
You can check out previous year's JEE-Advanced cut-off for IITs kindly refer to the link given below :-
https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits
But if you have good rank in JEE-Main then you can get good NITs also and you can predict the colleges which you can get from JEE-Main by using JEE-Main College Predictor :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
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!!
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