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Hi
I am assuming you from general category.
With 81 percentile
Your crl rank will be around 194370 - 218500 per our rank predictor at
JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...
With this rank, your chances of getting a seat in NIT, IIITs or government colleges is extremely low. Even to get into lower NITs you should have got at least around 45000 - 50,000 rank i. e 95.5 - 96 percentile.
Some of the engineering colleges in which you hold a good chance are listed below along with the link for their previous year cutoff :-
----------)Budge Budge Institute of Technology, Kolkata :- https://www.careers360.com/colleges/budge-budge-institute-of-technology-kolkata/cut-off?college_id=4747&exam_sub_exam_id=2&ici=college_view_cutoffs
---------)College of Engineering and Management, Kolaghat :- https://www.careers360.com/colleges/college-of-engineering-and-management-kolaghat/cut-off?college_id=2514&exam_sub_exam_id=2&ici=college_view_cutoffs
----------)Aditya College of Technology and Science, Satna :- https://www.careers360.com/colleges/aditya-college-of-technology-and-science-satna/cut-off?college_id=5070&exam_sub_exam_id=2&ici=college_view_cutoffs
And a few more
To have a personalised and complete list of colleges which you can get on the basis of the category you belong to, your home state, your gender etc we have jee main college predictor for which link is provided below
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
To improve your score in your remaining attempts of JEE main you should focus on your preparation go through previous year question papers ,mock test papers and to help you in your preparation we have jee main knockout out for you, for which is provided below
https://learn.careers360.com/knockout-jee-main
To help you further,
To give you an idea of qualifying cut off, JEE mains 2020 qualifying CUT OFF percentile to be eligible for jee advanced is given below for different category
>>>> General :- 90.3765335
>>>> GEN-EWS :- 70.2435518
>>>> OBC-NCL :- 72.8887969
>>>> SC :- 50.1760245
>>>> ST :- 39.0696101
>>>> PwD :- 0.0618524
You can check the same at our page the link is provided below
https://engineering.careers360.com/articles/jee-main-cutoff
Thank you
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