With a score of 508, your rank might be approximately between 38822-44553 . 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:

• ICARE INSTITUTE OF MEDICAL SCIENCE AND RESEARCH
• SHRI RAMKRISHNA INSTITUTE OF MEDICAL SCIENCES AND SANAKA HOSPITALS
• Burdwan Dental College

GMCs for MBBS are tad difficult with this score. 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?icn=QnA&ici=qna_answer

• SHRI RAMKRISHNA INSTITUTE OF MEDICAL SCIENCES AND SANAKA HOSPITALS
• JAGANNATH GUPTA INSTITUTE OF MEDICAL SCIENCES AND HOSPITAL
• ICARE INSTITUTE OF MEDICAL SCIENCE AND RESEARCH AND DR BC ROY HOSPITAL HALDIA
• I Q CITY MEDICAL COLLEGE, Durgapur
• COOCHBEHAR GOVT MEDICAL COLLEGE AND HOSPITAL

• DR. R. AHMED DENTAL COLLEGE AND HOSPITAL, KOLKATA
• GURU NANAK INSTITUTE OF DENTAL SCIENCES AND RESEARCH
• HALDIA INSTITUTE OF DENTAL SCIENCES AND RESEARCH
• KUSUM DEVI SUNDERLAL DUGAR JAIN DENTAL COLLEGE AND HOSPITAL
• NORTH BENGAL DENTAL COLLEGE
• Burdwan Medical College, Burdwan