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Hello aspirant,
You seem to have good chances of getting a private medical college with these marks. You even can apply for goverment dental colleges with state quota. According to last year 2018 stats private self financing medical college provided with the minimum rank 29157 of and minimum marks of 481 was karuna medical college, Palakkad.
You may click on the link to get information of last year cut off of each government and private medical college:
https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-cutoff-kerala/amp&ved=2ahUKEwiup-_X7pPiAhVTinAKHXrdD6EQFjAEegQIDxAb&usg=AOvVaw3kiMRCLZvRpg83tmHIVcNz&cf=1
Best of luck!!
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