For a general category student this rank is low for getting admission in NITs or IIITs. You need to have a rank below 25k for that and for core the branches the cutoff is usually below 15k. However as your home state is Gujarat you may get admission in IIIT Varodara however you may have to compromise with your branch as you can only get lower branches with this rank.

You can check the cutoff of all branches in IIIT VARODARA by going through the link I mentioned below.

https://engineering.careers360.com/articles/jee-main-cutoff-for-iiit-vadodara/amp#referrer=https://www.google.com

Thank you.

Hope it helps.