Hello Madhuri
With a rank of 3797 in EAPCET, your chances of getting a Veterinary college are good as the rank for getting a good veterinary college is around 3,000 - 5,000 (cutoff).
As you fall under that cutoff rank, your chances are good.
To know more about EAPCET: EAPCET by CAREERS360
Hope this answer helps! Thank You!!!
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