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Hello Aspirant,
According to the percentile you have mentioned your rank is expected to be in the range of 113860 - 127995 , 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 ...
So on such rank and category you have some chances to get the enlisted NITs if you have Home state quota for them :-
NIT Hamirpur
NIT Goa
NIT Agartala
NIT Nagaland
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
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.
Expected JEE-Main 2021 cut-offs to become eligible for JEE-Advance 2021 are as follows :-
Common Rank List (CRL) - 90- 95 Percentile
GEN-EWS - 70- 75 Percentile
Other Backward Classes (OBC-NCL) - 70- 75 Percentile
Scheduled Caste (SC) - 50- 55 Percentile
Scheduled Tribe (ST) - 40- 45 Percentile
PwD - 1-2 Percentile
So as per the above table you have good chances to get qualified for JEE-Advance 2021 on such percentile and category. But note that in above table it is not the actual cut-off for JEE-Main 2021 but expected on the basis of previous year's analysis. You can check out previous year's cut-off trends from the link given below :-
https://engineering.careers360.com/articles/jee-main-cutoff
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 2021 result :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
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