Hello,
Congratulations for such a great rank. You have great chances to get a seat in EEE, ME, Civil engineering, Chemical engineering, Biotechnology and Metallurgy and material sciences. To know more about the cutoff ranks of previous years, go through the link mentioned below-
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-warangal

Hello..!!

Yes of course you can get national institute of technology at this rank. Moreover good ones.

Here are few of them:

NIT Warangal, electrical and electronics engineering

Maulana Azad national institute of technology, Bhopal, CSE

NIT Delhi, cse

NIT Suratkal, electrical and electronics engineering.

Hope this is helpful.

Hey Sneha,

Congratulations on qualifying JEE-MAINS. Your rank is good. At 6K you can expect admission in good NITs Across India. Not only NITs but IIITs/GFTIs as well. Regarding who stream. it's hard to predict as it depends on the availability on that particular NIT. You can Try for Telengana as You State Quota will be helpful. 

Here is link of colleges predictor you can try 

https://engineering.careers360.com/jee-main-college-predictor?ici=search_trending

Best of luck