Hello Sayan, 

There is only one NIT in West Bengal and that is National Institute of Technology,  Durgapur.  Its located in Mahatma Gandhi Road, A-zone, Durgapur, West Bengal - 713209. You can find cut off details of this NIT here : https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-nit-durgapur/amp

Hope this helps :)