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Dear Aspirant
Below, I am mentioning the last year cut off through state quota for Medical College,Kolkata for each category as you have not mentioned any specified cateogory-
1. (UR) - AIR 5214 and marks 563
2. (OBC-A) - AIR 5923 and marks 559
3. (OBC-B) - AIR 6718 and marks 554
4. (SC) - AIR 42712 and marks 453
5. (ST) - AIR 144100 and marks 330
Concluding the above info. you may get admission according to your AIR but only if you belong to SC/ST or else no admission for UR,OBC-A,OBC-B.
You may refer to mentioned ink for other colleges in West Bengal https://medicine.careers360.com/articles/neet-cutoff-west-bengal
NOTE: Merit list changes every year so do the cut offs, on which only the admission is done.
Hope this helps you.
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