Can I get into NIT Silchar with a 96.9006 percentile?

The answer to this question depends upon your branch preference. If you don’t have a particular branch preference, you can get into NIT Silchar. 

96.9% converts to about 30,000 rank approximately. Here is a list of cutoffs for various B.Tech courses at NIT Silchar. (2023 JoSAA round 6 closing ranks for general category, gender-neutral seats)-

If you are an HS candidate, you can get a branch of your choice. But if you are an OS candidate, your rank will fetch you Mechanical or Civil. The cutoffs vary for female-only seats for which you can visit the official JoSAA website.