With a score of 420, your rank might be approximately between 99914-109429 . 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. This is because every State has its own cut offs for various Categories. For example, if you belong to UP and belong to General Category/OBC/EWS, you cannot get a GMC with this score. If you belong to Delhi, Rajasthan as well, it might be difficult. Having said that, 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 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