Hi

I am assuming you from general category.

With   55 percentile

• Your  rank will be  around 460350 - 517500   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 ...

With this rank, your chances of getting a seat in NIT, IIITs is very low.  Even to get into lower NITs under other state you should have got at least around 45000 - 50,000 rank i. e 95.5 - 96 percentile. In josaa counselling, your chances are extremely low for any college.

You have chances in average colleges. Some of the   engineering colleges in which you hold a good chance in state counselling  under other state quota  are listed below along with their previous year cut off link  :-

----------) Techno Engineering College, Banipur:- https://www.careers360.com/colleges/techno-engineering-college-banipur/cut-off?college_id=4247&exam_sub_exam_id=2&ici=college_view_cutoffs

----------)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

----------)DY Patil College of Engineering and Technology, Kolhapur :- https://www.careers360.com/colleges/dy-patil-college-of-engineering-and-technology-kolhapur/cut-off?college_id=2007&exam_sub_exam_id=2&gender_id=1

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 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