Medicine

Yes, Jamia Hamdard offers the BUMS course admissions to students through the NEET exam. Qualifying for NEET is mandatory in order to get admission in that course. Besides, the university also offers the Management/Paid Seats category, where students can get into the college by paying the necessary fee even if they don't meet the general merit list. NRI/industry-sponsored categories are also provided with a particular fee structure under each category.

Management/Paid Seat: The annual fee is INR 1,50,000. For NRI/industry-sponsored seats, it's USD 4,500 per year.
Please check the website of Jamia Hamdard or contact the admissions office for more details on how to apply and the eligibility criteria.

Your prospects for getting an MBBS seat in government colleges in West Bengal under the state quota would not be very bright with a score of 505 in the general (unreserved) category for NEET 2024. The cutoff scores for most of the government medical colleges in West Bengal were more than 505 in previous years. For instance:

Government Colleges: Medical College Kolkata, Nilratan Sircar Medical College,  RG Kar Medical College generally had their cut-offs around 590-600 for state quota general category seats.

Semi-Government/Private Colleges: Semi-government or private colleges like KPC Medical College or ICARE Institute of Medical Sciences could be having their cut-offs more around your score,  though it may still demand a few points more than 505 for the general category students.

Scoring 292 in NEET 2024, securing a government or semi-government MBBS seat will be challenging, as the cutoff marks for top colleges are usually high. Some semi-government colleges might have low cutoff marks, which can get moderate scorers in. For instance, colleges like *Sri Ramachandra Institute of Higher Education, Chennai, * and *PSG Institute of Medical Science, Coimbatore, * admit students with scores ranging from 250–500. This is purely at the discretion of the college based on the category and availability of particular seats.

You can also look at private medical colleges, where the cutoff might be softer compared to government colleges. Government colleges may have a higher cutoff, while semi-government and private colleges would more likely provide options with your score. Another thing is that you need to research cutoff trends as well as seat availability specific to counseling.