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Hi
With 420 marks, it's not possible to get Government and private MBBS college under OBC category
Since you haven't mentioned your state of domicile, I can see from your profile that you belong to Kerala
There is very less chance for you to get private MBBS college under 85 percent state reservation. From last few cutoff goes 450+ to 480+ for private medical college
For prediction about college via your rank and marks, please refer to this link-
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp
Best of luck
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