Hey.
Here is a list of government medical colleges in West Bengal and their respective cut offs in  2017 gir the general category under the state quota. Considering your rank you seem to have a fair chance for a government college.
1. Nilratan Sircar Medical College, Kolkata- 18,469, 523
2. North Bengal Medical College, Darjeeling- 37,183, 473
3. Medical College, Kolkata- 7,046, 569
4. Calcutta National Medical College, Kolkata- 25,573, 502
5. Burdwan Medical College, Burdwan- 30,611, 489
6. Bankura Sammilani Medical College, Bankura- 36,121, 476
7. ESIC Medical College, Joka, Kolkata- 38,142, 471
8. Institute of Postgraduate Medical Education & Research, Kolkata- 22,765, 510
9. College of Medicine and JNM Hospital, Kalyani, Nadia- 35,122, 478
10. Midnapore Medical College, Midnapore- 39,126, 469
11. Murshidabad Medical College & Hospitals, Murshidabad- 40,465, 466
12. Malda Medical College & Hospital, Malda- 41,723, 464
13. College of Medicine and Sagore Dutta Hospital, Kolkata- 33,131, 483
14. RG Kar Medical College, Kolkata- 20,854, 515

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