Hello,
Being from IIT Patna, you can expect a bit biased answer.
I do not have much idea about IIT Jodhpur but I can certainly vouch for the fact that IIT Patna has better infrastructural facilities than IIT Jodhpur since we have been in our Permanent campus for past two years and IIT Jodhpur has recently shifted to their new campus just recently so it would take time for them to adjust to the new setting.
Closing rank for 2016 for IIT Patna : 2774
Closing rank for 2016 for IIT Jodhpur : 2704
IIT Patna has approximately 10 more seats in CSE Deptt. than IIT Jodhpur ( I am not aware of the 2017 Seat Matrix though )
In the 2017 NIRF Ranking, IIT Patna has performed far better than IIT Jodhpur :
MHRD, National Institute Ranking Framework (NIRF)
Also, many questions about IIT Patna have already been answered and I don’t want to be redundant so please check the following links :
Varun Garg's answer to Is IIT Patna's new campus ready?
Bhavit Sharma's answer to What should I choose between CSE at New IITs, BITS Goa and IIITD/A?
Varun Garg's answer to IIT Patna cse or IIT Mandi cse which would be better?
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