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Hello Aspirant,
Since you have not mentioned your category so considering it as General.
As we go through the latest cut-offs of 2021 then it shows that the closing CRL rank was 22430 for Aerospace Engineering branch in Indian Institute of Engineering Science and Technology, Shibpur under Other state quota for General category.
You can check out the latest cut-offs from the link given below :-
https://josaa.nic.in/Counseling/seatallotmentresult/currentorcr.aspx
Now to secure around such rank you should have your JEE-Main percentile at least around 97.8+.
B.Tech/B.Arch Admissions OPEN
You can check out marks Vs ranks Vs Percentile from the link given below :-
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
Or
You can also use JEE-Main Rank Predictor to predict your rank :-
JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...
To have a list of all those colleges which you can get based upon your score, category, and state you can use JEE-Main College Predictor :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
As you are preparing for JEE-Main then I would recommend you to check the resources made by our experts to help aspirants like you in the best and smart preparation of JEE-Main :-
https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA
I hope this information helps you.
Good Luck!!
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