Hello!Prramoth

Seeing your score and previous year cuttoff of JEE MAINS PAPER 2,you seems to have less Chance of getting seat in BIT MESRA RANCHI.You are close to BIT MESRA CUTTOFF.You need rank under 4k with general category.Previous year closing rank for general category was 3.9k.For sureity wait till official cuttoff get announce.Also chance of getting NIT PATNA is less with this score.Visit below mention link to previous year cuttoff of JEE PAPER 2:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/jee-main-cutoff-for-b-arch-b-planning/amp&ved=2ahUKEwj78ozyy7jiAhUD8XMBHf_9ApMQFjAAegQIARAB&usg=AOvVaw2MH5TbFgLJzAvPJZWHnUEp&ampcf=1.

GOOD LUCK!

Sorry to say but I don't think that there is any chance of your's getting BIT Mesra with a rank of 5391.Last year the closing rank for home state was aroung 2900 and hence this year also you can't expect much.So the chances are little.You can give a try in some other colleges.