Hi

This is difficult to make prediction as  cutoff  depends upon various factors like :-

-----------) number of students/ candidates  that appeared in the  jee main exam,

-----------) number of available seats,

-----------) performance of different students in the examination,

-----------) the branch you want,

-----------) the category you belong etc.

But yes,

When we go through previous year trend then

With your 425045 rank

Your chances in colleges like NITs, IIITs  is  extremely low.

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 :-

------) DY Patil College of Engineering, Pune:- https://www.careers360.com/colleges/dy-patil-college-of-engineering-pune/cut-off

----------)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

-----------) 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

----------)Swami Vivekananda Institute of Science and Technology, Kolkata :- https://www.careers360.com/colleges/swami-vivekananda-institute-of-science-and-technology-kolkata/cut-off?college_id=2845&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