Look their has many government colleges in west bengal,, but ju, kalyani university, jalpaiguri engineering college & gcelt are best of them... According to previous years cut offs,, I want to take admission in ju then u need to rank under 1200 to get any good stream, for Kalyani university - under 4k,for jalpaiguri - under 5800,for gcelt - under 10k.... These are the scenarios...

The cut off varies college, branch, category and home state wise as you have not mentioned the same in detail so I am assuming you are asking for top colleges like Jadavpur University then for core branches like CS,ME etc the the closing rank should be 603.

For detailed cut off, you can go through the below article-

WBJEE Cut off 2017

 

Hope this helps!!!