Hello Aspirant,
See BC-E category has no reservation in NITs as it is a state level reservation provided in some states like Andhra Pradesh, Telangana. But if your category is listed under central reservation list available on the official website of NCBC then you can choose your category accordingly. Otherwise your category would be considered as general/Unreserved for admission to NITs.
As we go through the latest cut-offs of 2021 then it shows that the closing CRL rank was around 35-40k for Mining Engineering branch in NIT Surathakal under Other state quota for general category female.
You can check out the latest cut-offs from the link given below :-
https://josaa.nic.in/Counseling/seatallotmentresult/currentorcr.aspx
Now to secure such rank you should have your JEE-Main score at least 130+ marks out of 300 and percentile against this should be around 97+.
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 ...
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 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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