,With this rank sure you can get govt., semi govt. or private institution in West Bengal.

Hello Dear,

With this rank(349 in OBC-B) sure you can get govt., semi govt. or private institution in West Bengal. 
Jadavpur University - you can get any branch like CSE, IT, ECE, Mech. etc.

and more colleges also you can get with this rank:

1.Maulana Abul Kalam Azad Universty

2.bidhan Chandra Krishi Vishwa Vidyalaya Nadia

3.university of Kalyani-Kalyani

Etc.

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

Good luck