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.

So it's your decision to go for some better nit with your home state quota or you can opt for North eastern nits or even other government institutions with your desired seat.

Hope you got the answer you are looking for thank you.