I am scoring 511 in neet 2019. Can I expect a seat in Kolkata, West Bengal under 85% state quota (general) ?

Hello Aspirant!

In 2018, the West Bengal MBBS cut-off for government medical colleges varied between 479 to 563 for general candidates. If the same trend continues this year too, then you have a good chance to get a seat in a government medical college. In Kolkata, the government colleges that you can get are:
1.) Calcutta National Medical College
2.) ESI PGIMSR, Joka
3.) College of Medicine and Sagar Dutta Hospital, Kamarhati.
Hope this helps!

Greetings Preeti !
Congratulations on your great score in NEET 2019. With 511 on the board, although it's a bit tough to get a set in the heart of Kolkata, but as far as the District colleges are concerned you might just make it through to :

1. Maldah Medical College and Hospital
2. Murshidabad Medical College
3. Burdwan Medical College

As per the trends in 2018 and 2017, with a score of 511 you would have easily got a seat in one of 5 best govt. medical colleges in Kolkata.

But, since 2019 may turn out to be a rollercoaster owing to the fact that the number of examinees drastically increased as well as a bit easier level of question paper, the cutoffs might give the candidates a shock.

You may go through the cutoff and closing ranks of different colleges of West Bengal in 2018 and 2017 following the below mentioned link :

https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-west-bengal

Hope you can make it through.
All the Best !