Dear Arnav ,

First of all , WBJEE admission is based on totally GMR .. Category ranks are just for storing information to candidates .

You can check the same from here :

Microsoft Word - WBJEE-2021 Inf Bulletin Eng (wbjeeb.nic.in) (https://wbjeeb.nic.in/wbjeecms/File/GetFile?FileId=37&LangId=P)

Well, with your GMR rank , it is very difficult to get any Govt college . But yes .. as per last year cut off database , you can get the following colleges :

• RCC Institute of Information Technology, Beliaghata'
• Haldia Institute of Technology, Haldia
• Abacus Institute of Engineering and Management, Hooghly
• Academy of Technology, Hooghly
• Kanad Institute of Engineering and Management Mankar, Durgapur and others

Check prev year Opening and closing rank details of WBJEE from here :

https://admissions.nic.in/WBJEEB2021/WBJEEB/Report/OpenCloseRank.aspx?boardId=134112121

To know  more about the colleges , you can use this WBJEE college predictor link :

https://www.careers360.com/wbjee-college-predictor?utm_source=qna&utm_medium=ini-cet_cp

Hope this helps !