NIT

Yes, in this rank, there are good chances to get a good IIIT. Good luck.

The minimum eligibility for getting admission in NITs is 75% in 12th + JEE Mains rank. So, 12th marks Re considered at the time of admission for B.Arch programme.

If you have completed your 12th and have qualified for JEE Mains with good rank, then you can get admission in NITs.

Please use the mentioned link to get some fruitful prediction
https://www.shiksha.com/b-tech/resources/jee-main-rank-predictor.

You can apply for Bachelor of Architecture courses in NITs or government colleges through JoSAA counselling. You will get a link for the same at JEE Mains official website, once the counselling starts. Counselling will start in next two or three weeks. So, please wait for the same.
Best of luck.

Hi PP,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link, apply all the details and select the architecture stream from filters, then choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Yes, it is necessary to get qualify marks for getting seat NITs, IIITs amd GFTIs. Even though they are the marks decided to write JEE Advanced you must get more than qualifying marks to get seat in any NIT. Category rank was not helpful in this criteria.
All the best.

If you are asking about B.Arch course, it's not possible for you to get admission in any of the NITs with this rank. However, you can easily get a few NITs for B.Tech with this rank. For checking in which NITs you are eligible, I suggest you use the college predictor tool:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.