Hello,
I am sorry to inform you that you are not eligible to get any government college in the country.
The expected cut-off for ST category 40 -45 percentile. So, as per this you may not be able to qualify Jee Mains .

For your reference, here is the link you can use to see the expected cut off-
https://engineering.careers360.com/articles/jee-main-cutoff

Hi

With 37 percentile

• Your crl rank will be  around  644490 - 724500  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 ...

Your st rank will be around 23 k

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 3500 st rank i. e around at least 81 percentile.

Some of the   engineering colleges in which you hold a good chance for civil engineering are listed below along with their previous year cut off percentile :-

• ----------)Imperial College of Engineering and Research, Pune :- https://www.careers360.com/colleges/imperial-college-of-engineering-and-research-pune/cut-off?college_id=4117&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

• ----------)Aditya College of Technology and Science, Satna :- https://www.careers360.com/colleges/aditya-college-of-technology-and-science-satna/cut-off?college_id=5070&exam_sub_exam_id=2&ici=college_view_cutoffs

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

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