Dear aspirant, 

I'm providing you the link in which you will get each and every information regarding the previous year cutoff or opening and closing rank of various government colleges of Wbjee. Just go through this link. 

https://www.google.com/amp/s/engineering.careers360.com/articles/wbjee-cutoff/amp

You can also take the help of college predictor. Below is the link which helps you in predicting the colleges based on your rank by considering the past data. 

https://www.careers360.com/wbjee-college-predictor

All the best for your next journey..!!