Hey.

The least rank to get admission in IIT Kharagpur was a rank of 6371 in the branch of Mining Engineering for the general category in the previous year . Each branch has a different cut off rank. You can use the link below to check the ranks for all branches.

https://www.google.co.in/amp/s/engineering.careers360.com/articles/jee-advanced-cutoff-for-iit-kharagpur/amp

Best of luck!