With a score of 662, your rank might be approximately between 223-476 . 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, with an All India rank of less than 500, you should not opt for Management Quota seats in Private Medical Colleges. You will get GMCs of Karnataka through All India Counselling, Institutions like AIIMS, MAMC, AFMC, etc. 662 is an awesome score that can get you Govr. Medical Colleges of almost all seats. From Rajasthan alone, you have a chance in:

• Jodhpur Medical College
• Bharmar Medical College
• Bharatpur Medical College

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