Hello,
As you know admission to government medical colleges is based on NEET marks is done under two categories-All India quota(15%) and state quota(85%).
With OBC category and 420 marks, you might not get any government college through All India quota. But, you have  high chances of getting a decent government medical college for MBBS/BDS program in your state tgrough state quota.
However cutoffs change every year depending upon level of toughness of exam. So hope for the best and follow the counselling process.

To predict your college you can follow this link
https://medicine.careers360.com/neet-college-predictor
Good luck

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