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Hello,
It's quite difficult to tell you about your admission possibilities in a particular college since the cut-off keeps changing every year based on various factors but you can get a certain idea of your admission possibility based on previous year's results
As per your NEET rank which is 513 your predicted rank would be 43902 - 54052. Now as per previous year data, the cutoff for general category for 85% state quota seat was 476, for OBC was 475, for SC 394 & 486 for ST.
So as you can see you have a pretty much fair chance to get admission in the desired College as per last year's Cutoff.
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For more details about Karnataka state cutoff refer to the link below
https://medicine.careers360.com/articles/neet-cutoff-karnataka
To know more about which colleges you can get in based on your rank you can use the college predictor tool
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
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