I am Harish Rudra. I have scored 87 percentile in JEE Main and 46000 rank under OBC catagory. Do I have chance of getting admission in NIT?

It might not be possible to get admission in either NIT or govt college because your marks and rank may not be possible to qualify their requirements. You can check some Private Universities which are equally good. They provide good Infrastructure, Placements and Faculty. They are providing almost equal dream package to their students. They have very good Academics. You should choose a college which provide opportunity to work in live projects and give you good Exposure. You can browse some sites of the colleges like Lovely Professional University, Nirma Institute, KIIT University etc…