Hi Abhishek,
As you know that NIIT and IITS are the top colleges in india , also they need cutoff rank upto 5000-10000. So as far you hope to get a government college, it won't happen.
But you can try for college prediction by the link given below :-

https://medicine.careers360.com/neet-college-predictor

Also you are from category, but the seats for reserved classes are not that much . So competition is a lot .
Hope this was helpful

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