Hi

Considering your OBC-NCL Category rank of 7429, Home State Quota in VNIT Nagpur. I'm sharing only those which you can get according to your category rank of 7429 as per previous year closing ranks under these quotas - 

Chemical Engineering - 10178

Civil Engineering - 10853

Mechanical Engineering - 6942 (maybe)

Metallurgical and Materials Engineering - 15769

Mining Engineering - 15868.

Here are the possibilities you have under the mentioned criteria. 

You can always check the same about JEE Main Cutoff for VNIT Nagpur through this link: https://engineering.careers360.com/articles/jee-main-cutoff-for-vnit-nagpur.

Best of Luck.

Hope this helps.

Cheers!