Hi aspirant
As per your rank on jEE advance you do have some chances for getting a seat in one of the IITs.
Here try for the JEE advance college predictor to know which college suits you best according to your rank.
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-advanced-college-predictor/amp

Also, may I inform you that jEE advance marks have no connection with the NITs.
Since admission in NITs are on the basis of your performance in JEE mains.

Hello,

Congratulations that you have cracked JEE ADVANCED,a lifetime achievement indeed! Just think of what branch you want to pursue. I would advise not to compromise with the branch.

I am sharing a link below with which you can check the cutoffs and colleges you may get with reference to last year's data.The list will give you details of the cutoffs that you may expect. 

Https://engineering.careers360.com/jee-advanced-college-predictor

JEE ADV doesn't make any preferences in NIT.

Best wishes !

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