Hello,
As you mentioned with general category and 240 marks, your chances of getting a decent government college anywhere are negligible as in AP last student who got admission had 530+ marks.
As your marks are too low you might not even get some private medical college.
I suggest you to go for some other course or prepare for NEET next year.

However cutoffs change every year depending upon level of toughness of exam. So hope for the best and follow the counselling process.

Follow this link to better predict your college-
https://medicine.careers360.com/neet-college-predictor
Good luck

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