Hello Dear,

According to you, you got 6340 rank in TS EAMCET 2021. And you are  belonging to general category and also you are non-local.But there is good chance to get admission in top colleges for any branch which are accepting the TS-EAMCET score such as

VNR VJIET, Hyderabad

Chaitanya Bharathi Institutte Of Technology, Hyderabad

CVR College Of Engineering, Hyderabad

MGIT, Hyderabad, etc.

You can predict colleges from the link given below :-

To more information about TS EAMCET Result 2021:-

TS EAMCET 2021- Final Answer Key (Soon), Result (August 25), Cut Off, Counselling (careers360.com)

Hope this information helps you...

Best of luck :)