Hello Aspirant,

The National Institute of Technology, Tiruchirappalli, is a public engineering institution near the city of Tiruchirappalli in Tamil Nadu, India. Founded in 1964, it is one of the oldest institutions of the National Institutes of Technology system. The institute is located on a campus of 800 acres. 

Considering you an Out State(OU) category of student, according to the previous year Scores and Ranks  you should score as follows according to different Categories mentioned:

General - 12496 Rank - B.Tech Production Engineering

OBC - 5082 Rank - B.Tech Metallurgical and Materials Engineering

SC - 2848 Rank - B.Tech Production Engineering

ST - 1599 Rank - Instrumentation and Control Engineering

So, These are the cutoffs from the previous year. This year also the cutoff will be expected approximately similar

Basically, you have to score between 150-200 Marks in JEE Mains 2019 to easily get admission in NIT Tiruchirapalli.

All the best!

Depends on the branch and your home state.