My wbjee general rank is 5100 and I am other state candidate can i get any government colleges in West Bengal.

You can not get any government college with a rank that you have achieved. But there are many other private colleges which you can apply for and get good branches in those college. You can check out the cutoff here

https://engineering.careers360.com/articles/wbjee-cutoff

Good luck

Hello vipin,
Congragulations!Its a great Score!! I will drop a Link for college predictor WBJEE 19.
There is only a slight difference in the home state and other state preferences ,you did not have to care about it if the predictor predicts a college.
Https://www.mywbut.com/admission/college-selection
You can select your prefernces as you wish and check the list
Please visit this link and check for yourself ,make 2-3 selections among the list of colleges that appear.If you do not have a prefered branch then set the branch to "not sure"similarly for the college location and Use your general rank (not the category rank) to generate the colleges that might let you in.
You have only a small chance to get a seat in government colleges,but that is only because you are not from the home state,that is west bengal,so dont let yourself down for that.Kindly go for a private college if the government college is not available which are equally good,and do not wait for a government college and lose your chance .
Anyways Good Luck!!