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Hello JDatta
As you have not mentioned your category, you will be considered as general category candidate. With 405 neet score you have chances of getting Medical seat in following private colleges
KPC Medical College, Jadavpur
Shri Ram Krishna Institute of Medical Sciences and Sanaka hospitals, Durgapur
Haldia Institute of dental Sciences and research, Purba Medinipur
This was based on previous year's cut off. Cutoff changes every year and depends upon number of candidates appeared and qualified in exam, difficulty level of exam, previous year's cut off etc.
For more information and college prediction following link may help you
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
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