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Hello Aspirant,
According to the rank and category you have mentioned in the question you can get some of the top NITs like NIT Jamshedpur, NIT Uttarakhand, NIT Jaipur as per previous year's cut-offs which you can check from the link given below :-
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-nits/amp
If we go through your rank of JEE-Advance then you can get some of the IITs too like IIT Mandi, IIT Goa and likewise as per previous year's cut-off which you can check out from the link given below :-
https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits
When you will fill your choices in the list then if you want good branches then you should fill NITs first and then IITs but if you are institution preferred then you should mention IITs first and then NITs.
Note that the cut-offs are bound to change every year depending upon various factors.
So you can use JEE-Main College Predictor and JEE-Advance College Predictor to predict your chances of admission in different engineering colleges of India :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
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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