Here is the last year cut off in NIT surathkal. 

Course                catagory               OR                CR

2018:

1. CSE                    OBC                  877              2277 

2. ECE                    OBC                1350              5147

2017:

1. CSE                     OBC                641                3723

2. ECE                     OBC                1178              6053

Hope this will help you. 

Hello,

National Institute of Technology situated in Surathkal is one of the top institutes that provide top quality education in engineering. The opening and closing ranks released by JoSAA for admission to these institutes will be high. So I am doubtful whether you would be able to get there even if you belong to OBC and has rank of 2,873.