Hello Aspirant,

On such rank and category it is quite difficult to get Jadavpur University with Mechanical engineering but you can go for some other branches like :-

Architectural Engineering

Civil Engineering

Construction Engineering

Food Technology And Bio Chemical Engineering

And some more.....

You can check out previous year's cut-offs from the link given below :-

WBJEE Cutoff 2022 - Check Previous Year Cutoff, 2021, 2020, 2019, 2018, 2017, 2016 (careers360.com)

Note that the above prediction is made on the basis of previous year's cut-off and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

You can also use WBJEE College Predictor for more accurate predictions :-

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

I hope this information helps you.

Good Luck!!