Dear Aspirant,

With you marks and rank you can get into Lower NITs. However, you will not be able to get into top branches maybe. For the IIITs part, you fall short on that and not be able to get into one. 

NITs you could aim for are:-

• NIT UTTARAKHAND
• NIT IMPHAL
• NIT PUDUCHERRY

Moreover, branches you could get are Metallurgy, chemical, production, etc.

Hope this helps.

Important links: 

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

Thank You.