With a score of 350, your rank might be approximately between 181904-194475 . This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . Now regarding the Colleges that you may have a shot at, we will need the State that you hold the domicile of and the Category you belong to because Private Medical Colleges do not participate in All India Counselling. For a complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer