Hello student,
With a score of 420, it becomes difficult to secure a seat in the government medical colleges when comparing the results of previous years. Last year, a minimum score of 473 was required to fetch one a seat in Seth GS medical college, Mumbai under the state quota. But one thing to keep in mind is that scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can predict the colleges which you are likely to get using the given link
http://medicine.careers360.com/neet-college-predictor
Good luck

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