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Hello Aspirant,
See on such EWS rank it is very difficult to get any of the NITs even under EWS quota because closing EWS ranks were around 7k-8k and you are very far from it also you can see the closing EWS ranks of last year were like :-
National Institute of Technology Durgapur - Bio Technology (7788)
National Institute of Technology Agartala - Biotechnology and Biochemical Engineering (8387)
Dr. B R Ambedkar National Institute of Technology, Jalandhar - Civil Engineering (8246)
You can check out previous year's cut-offs from the official website of JOSAA as given below :-
https://josaa.nic.in/Result/Result/currentorcr.aspx
So on such rank and category you have no chance to get any of the NITs/IIITs/CFTIs/GFTIs , so I would recommend you to either go for state counselling for autonomous government colleges or for private colleges or you can prepare for further attempts of JEE-Main and to help you in your preparation we have some resources which you can access from the link given below :-
https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA
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
You can also check out the JEE-Main 2021 cut-off and know whether you have qualified for JEE-Advance 2021 or not, so it is given below :-
==>> Common Rank List (CRL) - 87.8992241-100.0000000 Percentile
==>> GEN-EWS - 66.2214845-87.8950071 Percentile
==>> Other Backward Classes (OBC-NCL) - 68.0234447-87.8950071 Percentile
==>> Scheduled Caste (SC) - 46.8825338-87.8950071 Percentile
==>> Scheduled Tribe (ST) - 34.6728999 87.8474721 Percentile
==>> PwD - 0.0096375-87.8273359 Percentile
You can check more details about JEE-Main 2021 cut-offs 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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