yes you can apply at private medical colleges in west bengal through manangement seat ,whereas for goverment college seat only W.bengal domicile candidate can apply.There are 14 goverment and 3 Private medical colleges in W.bengal.
private colleges:
1: KPC medical college jadavpur:150 seats fees: 40 lakh in total
2:Jagnath gupta medical collge: 150 seats fees: 57lakh in total
3:IQ city: 150 seats
fees: 57lakhs in total
Thus, you can go to these colleges website and apply the form and they will notify you with their merit list and you can get admission easily.
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