Hi

Your profile suggests that you are from jharkhand, so eligible for home state in NIT Jamshedpur

With 64 percentile

• your rank will be around 368280 - 414000  as per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

I am extremely sorry to tell you but with above predicted rank you have a very low chance in NIT  jamshedpur in any branch even under homestate

For example,

In 6th round of josaa counselling 2020, closing rank for gender-neutral  for general category was  49450 and it was for  Production and Industrial Engineering under home state in NIT jamshedpur

You can check the same at

https://josaa.nic.in/Result/Result/currentorcr.aspx

Some of the engineering colleges in which you hold a good chance on the basis of past year closing rank are listed below along with the link for their previous year cutoff :-

----------)Shri Ram College of Engineering and Management, Palwal :- https://www.careers360.com/colleges/shri-ram-college-of-engineering-and-management-palwal/cut-off?college_id=2281&exam_sub_exam_id=2&ici=college_view_cutoffs

----------)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

----------)Bengal College of Engineering and Technology, Durgapur :- https://www.careers360.com/colleges/bengal-college-of-engineering-and-technology-durgapur/cut-off?college_id=4831&exam_sub_exam_id=2&ici=college_view_cutoffs

To get the complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

To help you  further,

Minimum percentile in jee main 2021 to qualify it to  be eligible for jee advanced 2021 is given below :-

--------) general :-87.8992241 percentile

--------) EWS:- 66.2214845 percentile

--------) OBC-NCL :- 68.0234447 percentile

--------) SC :- 46.8825338 percentile

--------) ST:- 34.6728999 percentile

--------) PWD :- 0.0096375 percentile

Thank you