Hello ,
Yes of course you have a great chance to get a seat at government medical college.
According to your number , you can have followings colleges-
1. Calcutta National Medical College
2. Sagar Dutta Medical College
3. College of Medicine and JNM Hospital,Kalyani
4. Burdwan Medical College
5. Bankura Sammilani Medical College
6. North Bengal Medical College
And so on......
Best wishes

Asmita, in 2019 under the State Quota, 185 marks secured a seat in Raigunj Medical College. That might not be the cut off because there are Colleges that have secured seats for ST Category with a score less than that as well. But this is just to give you an example. You can check the cut offs of individual colleges at our page: https://medicine.careers360.com/articles/neet-cutoff-west-bengal . Coming back to your question, 250 might be tad less for NEET 2020.This is because cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. And with NEET being pushed back by 5 months approximately, even if half of the Candidates have utilised this time, the competition is going to be tough bu the availability of the seats will remain the same. Which means the cut offs might increase. So atleast aim for 300 so that you need not wait until Round 2 or Mop up Round for a seat.

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