You havent mentioned your Category and the name of the college. There are 6 Government Medical Colleges in Kolkatta. Neverthless, in 2018, under State Quota, the cut offs for various Categories in Kolkatta Colleges have been as follows:
General Category: 479
OBC-A: 478
OBC-B: 474
SC: 349
ST: 183


With 387, you can get a seat if you only belong to SC, ST Categories.  Having said that, cut offs change every year and are dependant on various factors like no.of seats availble, no.of candidates appearing for the exam, top NEET score and difficulty of the exam. You can visit our page to check the cut offs of other colleges:
https://medicine.careers360.com/articles/neet-cutoff-west-bengal/amp

You can also use our College Predictor services to check your options:

https://medicine.careers360.com/neet-college-predictor?utm_source=google-search&utm_medium=paid&utm_campaign=neet-clgpd

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