With a score of 140 in jee main and around 95% in cbse 12th board is there a possibility of any nit? if so what branches?

hi

NIT has few seats which are filled via IIT score.
NIT Warangal being A Category college, its demand would be more.

NIT warangal is in top 4 NIT of India.
IF we assume 7000 seats in IITs.

Top 4 NIT has 747 general seats.
means 747 comprises of 49.5% ( general seats after 15% SC, 7.5% ST, 27% OBC)

as per 27% obc
number of seats available is 407 ( in all top 4 NIT)

Thus it depends on number of OBC candidates in top 50000.
but it looks difficult for you to get in unless some luck favors you.

anyways, dont loose hope and keep trying.

All the best
Thanks & Regards