HI student,

As per the previous year cutoffs, you will not get admission in NITs, if you have got AIR 6410 rank in ST category.

Yes, you can try for lower cutoff branches at lower NITs.

You may get admission in state level colleges in good branch or you can opt for these branches if you want a good college:-

• Chemical Engineering
• Metallurgical and Materials Engineering
• Food Processing Engineering
• Biomedical Engineering
• Biotechnology Engineering
• Electronics and Instrumentation Engineering

Some good colleges for you:-

• Lovely Professional University
• BITS, Ranchi
• SRM University
• Private colleges..................

Refer here for more info - https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

To know your other best admission possibilities of Institutes & branches in JOSSA & State counseling as per your percentile, You can use JEE Main College Predictor tool given below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Feel free to ask doubts in the Comment Section.

I hope this information helps you.

Good Luck!