Hello,

it is hard to say qualifying cutoff.  You have not mentioned regarding which exam you have appeared.

JNTU accepts EAMCET exam score. if you have mentioned jee mains score then there is very less possibility to get as state cutoff.

it would be better to try for government engineering college. There is high chance to get admission into top branch options considering your rank.

for precise list of college based on your rank, please use the college predictor :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope it helps!