With 91 percentile in jee mains your rank must be above 90,000. 

Last year candidate with with general rank 162271 get chemical engineering branch with home state quota in special round of counselling and student with rank 229348 get admission in BIO technology branch with HS quota.

For more detail on closing and opening rank you can visit official page of JOSAA

https://josaa.nic.in/josaaorcrarchieve/Result/OpeningClosingRankArchieveN.aspx?enc=N9lE47fIvQCtn+Sq4k3AR/PB9WcjYR9Ghf4gYFx/r3w=

Best of luck

Vishnu,

           With this much percentile, you cannot get admission in BIT Mesra Ranchi in any branch directly through JoSAA counselling although you have Home State Quota. Please apply for other colleges.

Regards