hi pvvprasad,

For a percentile of 91.67 in jee mains your general category rank should be around 85k. There is no bc quota in jee mains, you must be asking about obc quota. You will get admission in NIT on the basis of your category rank i.e. obc rank. It is not easy to predict your obc rank because it depends on the no. obc students that participated this year.  For a percentile of 91.67 your obc rank should be around 20k to 25k. With this obc rank your chances of getting NIT Trichy or Warangal is not possible, even if you have home state quota. You should try to get around 10k obc rank or 40k general category rank or 96+ percentile . Then with the help of home state quota you have chance of getting NIT Trichy or Warangal(but lower branch).

I hope this answer will help.
All the best for the future!!