Hello Aspirant,
Yes you have a very good chance to get a government medical seat in Rajasthan through state counselling as your state rank is very good. A score of 500-550 above can be considered a safe score and a score above this , will be even better and will assure a govt. seat.Anyways considering your rank some of the possible options for you are :
American International Institute of Medical Sciences Udaipur
Ananta Institute of Medical Sciences and Research Centre Rajsamand
Dr SN Medical College, Jodhpur
Government Medical College, Bharatpur
Government Medical College, Barmer
Government Medical College, Churu
Jaipur National University Institute for Medical Sciences & Research Centre, Jaipur
Mahatma Gandhi Medical College & Hospital,Sitapura, Jaipur
You may checkout the cutoffs of various colleges here :
https://medicine.careers360.com/articles/neet-cutoff-rajasthan
To know all possibilities :
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
All the best
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