Hello Aspirant,

As we know that cut-offs for WBJEE 2020 is not released yet so it is little bit difficult to help you with exact cut-offs but although I can help you with previous years' cut-offs for an idea. S on the basis of this rank and your category it is not possible to get any branch in Jadavpur University, Kolkata but yes you can get some government colleges with very lower branch like  Government College of Engineering Textile Technology, Serampore with Apparel and Production Management; Government College of Engineering and Leather Technology with Leather Technology and likewise.

For more details about cut-off refer to the link given below :-

https://engineering.careers360.com/articles/wbjee-cutoff

For predicting your colleges on the basis of your rank and category you can use WBJEE College Predictor, link for the same is given below :-

https://www.careers360.com/wbjee-college-predictor?icn=WBJEE_clgpd&ici=WBJEE_exam_view_sticky

I hope this information helps you.

Good Luck!!