Hello Somnath, 

Considering your OBC B rank, you can get into some of the top colleges under WBJEE. However, I would recommend you to know more about the individual college and then decide. It will help you to know more about the college placments and their education system.

Some of the goverment colleges where you can apply are :-

Jadavpur University

Cooch Behar Govt. Engineering 

Purulia Goverment Engineering College

Aryabhatta institure of engineering college

Brainware Group of institution 

These are the college where your chances of getting admission are high. Now for more colleges regarding your ranks, you can check the follwoing link 

https://engineering.careers360.com/college-predictor-result/50034?s=20849805361527963128

Hope you find this information useful. HAve a great future ahead.

Hello Dear,

With this rank(2761- OBC-B) sure you can get govt., semi govt. or private institution in West Bengal. some colleges are:
1.Jadavpur University

2.Maulana Abul Kalam Azad Universty

3.bidhan Chandra Krishi Vishwa Vidyalaya Nadia

4.university of Kalyani-Kalyani

Etc.

For more colleges check it out given the link:
https://engineering.careers360.com/articles/wbjee-cutoff

Good luck