Hello Aspirant,

Hope you are doing well.

To make it simple, admission in IIITs will be through JEE Mains and admission in IITs will be through JEE Advanced. Coming to the cutoffs IITs have less cutoff when compared with the IIITs.  Top 10 IITs are good for your better future,. And lower IITs are not better than IIITs. Better go with IITs if you have good score.

If you want to predict your JEE mains college you can go through this link: https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

If you want to predict your JEE Advanced college you can go through this link: https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer

Hope this helps you.

All the Best!!!