Hello Aspirant, Seeing your rank and category, there is a fair amount of chance  for you to get admission into the top NITs. For your home state NIT, Andhra Pradesh, the cutoff trends vary each year depending upon the no. of students appeared each year, seat availability. But since you have a good chance of getting admission into a good NIT and also is also NIT Warangal near your home state, you can also a availability there.

See the previous years cutoff trends of various NITs given below to view the preferred college available for you,

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

Good luck