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Hello Aspirant,
See it is quite difficult to tell you an exact figure of your percentile and rank because it keeps on changing every year depending upon various factors but yes we can help you with approximate figures on the basis of analysis of previous year's data.
So If we go through the analysis of marks Vs Percentile Vs rank for JEE-Main 2021 then according to the marks mentioned by you in the question your percentile and rank are expected to be in the range of 95.18 - 96.96 and 44000-55000 respectively.
You can check out marks Vs ranks Vs Percentile from the link given below :-
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
Note that the percentile and rank which are predicted is only the expected percentile and rank on the basis of previous year's data so your actual percentile and rank might vary depending upon current factors.
Based on such rank you have almost no chances for any of the NITs if you belongs to General category.
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-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
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