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Hello Aspirant,
According to the percentile you have mentioned in the question your expected rank would be near about 5.3 Lacs and on the basis of this rank it is impossible to get any of the NIT or IIIT but yes on the basis of your category and this percentile you might have chance to sit in JEE-Advance and if you score decent marks with decent rank in JEE-Advance then you can get into IITs which stands above any of the NITs or IIITs.
Note that above are totally based on previous year's cut-offs and cut-offs are bound to change every year depending upon various factors.
You can predict the colleges using JEE-Main College Predictor :-
JEE Main College Predictor – Know your College Admission Chances Based ...
I hope this information helps you.
Good Luck!!
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