With a score of 507, your rank might be approximately between 45023-51086. 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, you have a chance in you haven't mentioned the State that you hold the domicile of. This is important because each State has different cut offs. With this score, you can get a seat in a GMC, if you belong to Tamilnadu, Karnataka, AP, Assam, etc. But it will be difficult if you hold the domicile of Delhi. 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?