Hi

With 45 percentile, your st rank would be roughly around 17k - 18k , if not do let us know.

It's quite difficult to predict because cutoff keeps changing every year depending upon various factors like :-

******number of students that appeared in the  jee main exam,

****** number of available seats,

****** performance of different students in the examination,

****** the category you belong etc.

But yes,

When we go through previous year trend then

>>>>> with  your rank

You have low chance in NITs.

For example,

Under other state quota , closing rank for some of the lower nits for which closing rank goes low are listed below along with their closing rank in the 6th round of josaa counselling 2020 for st category  :-

• NIT Mizoram ,civil engineering :-   2975 st rank

• Nit nagaland ,Electronics and Instrumentation Engineering :- 3086 st rank

• National Institute of Technology Agartala,    Biotechnology and Biochemical Engineering:- 3521 st rank

You can check the same at

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

From above , it is clear that you need at least a rank of around 3500 st rank to get into even lower NITs under other state.

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 :-

----------)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

----------)Walchand Institute of Technology, Solapur:- https://www.careers360.com/colleges/walchand-institute-of-technology-solapur/cut-off?college_id=2599&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