Hello Aspirant,
On such EWS rank you have almost no chances to get any of the NITs or IIITs because the closing EWS ranks for last year was around 7-8k for female. You can get an idea from previous year's closing ranks available on the official website :-
https://josaa.admissions.nic.in/Counseling/seatallotmentresult/currentorcr.aspx
But you can go for some GFTIs that are discussed below.
If we go through previous year's data of seat allotment On the basis of data mentioned in the question by you, you can go for the enlisted colleges :-
Assam University, Silchar - Agricultural Engineering
Gurukula Kangri Vishwavidyalaya, Haridwar - Mechanical Engineering
Indian Institute of Carpet Technology, Bhadohi - Carpet and Textile Technology
Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur, (C.G.) - Industrial and Production Engineering
And some more.......
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2022 result :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Note that the above list is merely a prediction which has been made on the basis of latest cut-offs available 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.
As the cut-offs are released along with the JEE-Main 2022 result so now you can check whether you have qualified for JEE-Advance 2022 or not, JEE-Main 2022 qualifying cut-offs are enlisted below :-
==>> Common Rank List (CRL) - 88.4121383 percentile
==>> GEN-EWS - 63.1114141 Percentile
==>> Other Backward Classes (OBC-NCL) - 67.0090297 Percentile
==>> Scheduled Caste (SC) - 43.0820954 Percentile
==>> Scheduled Tribe (ST) - 26.7771328 Percentile
==>> PwD - 0.0031029 Percentile
You can check out previous year's cut-off trends from the link given below :-
https://engineering.careers360.com/articles/jee-main-cutoff
I hope this information helps you.
Good Luck for your future!!
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