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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 ST rank are expected to be in the range of 84-87 and around 7000-9000 respectively.
You can check out marks Vs CRL ranks Vs Percentile from the link given below :-
B.Tech/B.Arch Admissions OPEN
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 and having ST category, you have almost no chances to get any of the NITs, this is because cut-off ranks for NITs are under 3000-3500 ST rank.
To have a list of all those colleges which you can get based upon your JEE-Main rank or score 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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