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Hello Aspirant,
See it is quite difficult to tell you an exact figure of your CRL rank because it keeps on changing every year depending upon various factors but yes we can help you with approximate figures on the basis of analysis of previous year's data.
So If we go through the analysis of Percentile Vs CRL rank for JEE-Main 2021 then according to the percentile mentioned by you in the question your CRL rank is expected to be in the range of 495030 - 556485 .
Note that the ranks which are predicted are only the expected ranks on the basis of previous year's data so your actual ranks might vary depending upon current factors.
Based on such rank you have no chances for CSE branch or any other branch in NIT Patna because the closing CRL rank in 2021 for female quota was around 22k in Round 6 of JOSAA counselling.
You can check out previous year's cut-off from the official website given below :-
https://josaa.admissions.nic.in/Counseling/seatallotmentresult/currentorcr.aspx
Note that the above prediction is 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.
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
On such percentile, as you are a General candidate so you have no chances to qualify for JEE-Advance 2022 but still the cutoffs for this year have not released yet officially.
As the cut-offs are released along with the JEE-Main 2022 result so for now you can get an idea from JEE-Main 2021 qualifying cut-offs that are enlisted 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
Note that in above table it is not the actual cut-off for JEE-Main 2022 but previous year's cut-off.
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!!
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