Based on your MAT score you have decent chance to apply for NIT warangal. As per the eligibility you should have minimum 60% as a General category. You  require to download the application form available at https://www.nitw.ac.in./main/ Filled in application form with all the necessary documents including the registration fee receipt to be send to the Chairman (Admissions), NIT Warangal, Warangal–506 004,Telangana State. You can check the further information about the application fees & other detail with the given below link.

NIT Warangal Admission

Good luck!