Hello,

You have provided your rank for which exam? if it is your JEE Main rank, there are chances for admission to NITs. However, admission also depend on your home state, category.

You can refer to the previous year cutoff for JEE Main for NITs using the link below to have an idea about your chances for admission-

 https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

Fee structure vary from college to college. For Fee structure, you can refer to the link below-

 https://engineering.careers360.com/articles/nits-btech-fee-structure

You can use the college predictor using the link below-

JEE Main College predictor

Hope this helps. Good Luck!