Government MBBS obviously looks a lot difficult with this rank. Even government BDS is lot difficult with this rank. You can try in some private medical colleges like Jagannath Gupta Institute of Medical Science and Research, Kolkata. It had 468 marks cutoff last year. You can also try for some private dental colleges like Haldia Institute of Dental Science, Medinipur, it had 404 marks cutoff last year. 

For further detailed information, refer to our site ..

https://medicine.careers360.com/articles/neet-cutoff-west-bengal

Best wishes. Thankyou. 

Dear Ankita, there are a total of 2200 MBBS and 546 Dental seats across West Bengal for grabs in State Counselling. With a rank of 6000, unfortunately you do not make to the cut offs for a seat either in Government or Private Medical or Dental Colleges.