Well you must have given NIMCET exam and got air 1679 and also you have stated tht you have got rank 372 , i guess in obc category. If it is obc category then considering previous year rank for obc category it closed around 180 for nit trichy, 300 for nit warangal. 

with the rank you gave for obc category, except top three nit you can get other. For general rank no nit.

For sc and st you will get nit.

all the best.

thank you.