Heya Saurav, 

Congrats for your score. 

You have some good chances of getting admission into some NIT but might not be able to get the top ranked ones. 

For some lower ranked NITs, you might not face the problem of branch of your choice.

You can check the previous trends of admissions and cutoffs of various government colleges using below provided link. 

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff/amp

Also you can use the college predictor tool to help yourself in much better way. 

https://engineering.careers360.com/jee-main-college-predictor?icn=JEE_Main_clgpd&ici=JEE_Main_article_view_sticky