My rank is 156503 so the list of best colleges considering my rank would be?

Hey Chaitali,

Hope you are doing well!

Well!With a rank of 1 lakh+ getting best colleges at their main campus would not be possible.I would suggest you to do other compettitive exams like VIT,BITSAT,MHCET,WBJEE etc then you have a great scope for getting best colleges.

Else,BIT Mesra 's Off-Campus Deoghar will surely take you!and will give you a BIT Mesra,Ranchi Degree after completion of your course,So,For a good degree you can take admssion here.
But,Check in the above exams properly first.

Hope this helps!

All the best!

Keep Smiling :)