Hello student,
With a score of 397, the possibilities of procuring a seat in the government medical colleges is less when comparing the results of previous years. Also you have not mentioned which state you belong to. It depends on the state quota too. For example, With this score, you might get a seat in the government medical colleges of Uttar Pradesh while it is not so in the case of states like Tamilnadu for which one should have a score of 450 or above in St category. But one thing to keep in mind is that scores and ranks vary each year with toughness of the exam 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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