Hello there,

With a rank of 30,016 in TS EAMCET, securing a free seat for B.Sc. Anesthesia in government universities might be challenging, as the cutoff ranks for such programs can be quite competitive. However, it's still worth checking the specific cutoff ranks and seat availability for the current year.

In Hyderabad, you might want to consider the following government universities:

1. Osmania University - Known for its various science programs.
2. Telangana University - Offers a range of undergraduate programs.
3. Kakatiya University - Another option with various science courses.

For accurate information, check with the respective universities and review their latest admission guidelines and cutoff ranks.

I would recommend you to use TS EAMCET college predictor tool by Careers360 to get the list of possible colleges you can get with your rank.

Here is the link to the tool:

https://www.careers360.com/ts-eamcet-college-predictor?utm_source=qna&utm_medium=ini-cet_cp

Click on the above link, fill the required details and you will get the list of possible colleges at your rank.

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.