Hello Aspirant,
As we go through the latest cut-offs of JEE-Main 2021 of JOSAA 6th round then it shows that the closing ST rank was 3044 for Materials Science and Engineering branch in NIT Hamirpur under Other state quota.
Now to secure such rank you should have your JEE-Main 2021 score at least 115-120 marks out of 300 and percentile against this is expected to be in the range of 95-96.
You can check out marks Vs ranks Vs Percentile from the link given below :-
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
You can check out the latest cut-offs from the link given below :-
https://josaa.nic.in/Counseling/seatallotmentresult/currentorcr.aspx
Note that the above prediction is made on the basis of latest cut-offs available on official website of JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.
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
From now very few time is left for JEE-Main 2022 so it is time to bind up your JEE-Preparation and start solving mock tests as much as you can to improve your time management skill.
You can also take JEE-Main Learning package for solving series of mock tests :-
https://learn.careers360.com/knockout-jee-main-april-one-month-subscription/?icn=jee-main-knockout&ici=c360-clevertap-sticky-articles-web
I hope this information helps you.
Good Luck!!
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