With a TS EAMCET rank of 42,000, you have good chances of securing admission in private engineering colleges in Telangana. Some potential options include Vardhaman College of Engineering, Geethanjali College of Engineering and Technology, or BVRIT Narsapur, depending on your category and preferred branch. Admission depends on counseling rounds, seat availability, and specific cutoffs, which vary yearly.

For more details you can visit the link given below

https://engineering.careers360.com/articles/ts-eamcet-cutoff