Hello student,.
You have not mentioned which state you belong to, which is an important deciding factor for predicting the colleges. With 257 from SC category, you have chances of procuring a seat in the private colleges, but it all depends on the state of yours. However you can go through the following link to know about the cut off's and ranks for the previous years and calculate your chances of selection in your state
https://medicine.careers360.com/articles/neet-cut-off/amp
Good luck

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