Hello Aspirant,

Jadavpur University is a government state university established in the year 1955 and is loacated in Kolkata. This college has a user rating of 4.3 with AAAA+ state rank. This college is approved by UGC and accredited by naac. UG courses offered in this college are CSE, ECE, EEE, EIE, INF,  ME, CHE, CIV, Metallurgy engineering,architecture engineering, power engineering and more. By qualifying in either NATA, JEE MAIN, GATE, WBJEE you can get admission in this college for PG or UG. There will be 11:1 students to faculty ratio. Facilities like boys hostel, girls hostel, library, laboratories, wifi, cafeteria, sports are available. The placements percentage is growing. 

Indian Institute of technology, Patna is a government Institute for national importance established in the year 2008 located in Bihar. The user rating is 4 with state rank of AAAA+ and approved by UGC. The courses offered for UG are CSE, ECE, EEE, ME, CIV, CHE. Entering this college is by JEE ADVANCED or GATE for UG or PG. Facilities like boys hostel, girls hostel, cafeteria, library, gym, laboratory, auditorium,, sports, etc are available. The placements are very good. 

Hope this will help you. Good Luck.

Firstly, you need to clarify your course. Every institute or university has its own pros and cons for different fields it provides work in. But still , the professor of iit patna is good at research work as far my knowledge and they definitely help you to do the projects of great level with great dedication. However, if you want to enjoy your life with study , choose Jadavpur. It would serve you both.