With a score of 562 in NEET UG and having a silver medal in sports, you have a strong chance of securing a seat in a government medical college, especially if you are applying under the sports quota.

Factors Supporting Your Chances:

1. Sports Quota : Most states and colleges have a separate allocation for candidates applying under the sports quota. This can significantly lower the cutoff for admission.
   
   

2. Previous Year Cutoffs : Check the cutoffs from the previous year for government medical colleges in your state. A score of 562 generally falls within a competitive range, especially with the sports quota.
   
   

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3. State and AIQ Considerations : Ensure you apply through both the state quota and the All India Quota (AIQ) to maximize your chances.
   
   Recommendation:

• Active Participation in Counseling : Engage actively in the counseling process, as the allocation can depend on various factors, including availability and specific sports quota rules in your state.
  
  
• Documentation : Be prepared to present your sports achievements and related documents during the counseling process.

In summary, with 562 marks and a silver medal, your chances of getting a government medical college seat are promising, particularly under the sports quota. Good luck!