Hey Karthik,
Congratulations on qualifying NEET 2019.
First of all getting a straight idea of cutoffs for different college is not possible as it depends on different factors still I assume OC refers to OBC. So if Reservation Is applicable in Private Colleges then yes your chances are high to get a better one. And you still could accept a good College as most people try for government medical college. Here is a link you could try for College predictor
https://medicine.careers360.com/neet-ug-college-predictor?ici=search_trending
Best of luck
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