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Hello Aspirant,
Since you have not mentioned your category so considering it as general.
According to the mentioned percentile your rank is expected to be in the range of 255750 - 287500 , 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 ...
B.Tech/B.Arch Admissions OPEN
As we go through the latest cut-offs of JEE-Main 2020 of JOSAA 6th round then it shows that :-
Closing CRL rank for NIT Surathakal was :-
So you have quite low or almost chances to get NIT Surathakal with any of the branches even if you have Home state quota.
You can check out the latest cut-offs from the link given below :-
https://josaa.nic.in/Result/Result/currentorcr.aspx
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
If you are preparing for JEE-Main 2022 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 2022 :-
https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA
You can also check out the JEE-Main 2021 cut-offs 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
So as per the above table you are also NOT qualified for JEE-Advance 2021.
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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