You haven't mentioned your Category. This is important because every Category has different cut offs. 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, if you belong to General Category, your chances of a seat in MBBS are a tad less but you might get a seat in BDS in Private College. If you belong to Reserved Categories, you might have chances in Management Quota of Private Medical Colleges. Now this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?