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Hello Aspirant,
According to the marks you have mentioned in the question your percentile would be in the range of 99.07-99.27 and your rank would lies in between 6556-8206. On the basis of this rank and percentile and category you can easily get into top NITs like NIT Uttarakhand,NIT Jaipur,NIT Jamshedpur and so on as per previous year's cut-offs. You can check out the cut-offs for top NITs from the link given below :-
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-nits/amp
You can also use JEE-Main College Predictor to predict the college :-
JEE Main College Predictor – Know your College Admission Chances Based ...
I hope this information helps you.
Good Luck!!
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