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Hello, Suresh Kumar Pandey
It will be difficult for me to say you will get a government college or not because cut off varies from year to year depending on difficulty level category home state etc
However 550+ is a score when you feel safe you will get a government college and you have score 516 you have a slight chance of getting admission in government college
I'm providing you a link which can help you
https://medicine.careers360.com/neet-college-predictor
Hope this helps you if you have any queries you can add in comment section
All de best
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