Hello aspirant,

Well even with 40k rank it is certainly possible that you'll just make it barely into some of the nits
If you apply for home state quote i guess u'll certainly qualify for some branches that are less in demand such as textile, food processing, integrated msc, material science and metallurgy, etc
However if you really want to bag that nit tag with a good branch, you'll have to rely on the north eastern and new nits like silchar, meghalaya, agartala, sikkim etc as their general cut offs are also way too low.

Hope you understand,
Thank you