Dear candidate

95.68 percentile in the JEE Mains means your score will be around 105 to 110 and we can expect a rank around 43,000+ with that percentile with that rank and OBC category reservation you can't get into NIT SILCHAR as your home state is bihar and you belong to other state category and the other state cutoff ranks for all the branches will be less than 10,000 for OBC category so, it impossible for you to get into NIT silchar.

Visit the below mentioned link to know the cutoff trends of NIT silchar

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-silchar

Visit the below mentioned college predictor link to predict how many colleges you can get with your percentile in JEE Mains

All the best

Hope this Information is helpful