Symbiosis is good for management studies so if you are looking for that you can go but if you want to do god study in less amount then christ also good option . So I would prefer according to your need there is difference between college but if you will study hard definitely you will get good placement in both the colleges .
Between these college both are best but I would suggest you to go for symbiosis college which is known for management it is specialised in management degree. if you are thinking of doing BBA from symbiosis then it's really good idea and I say that you should go for it without doubting. There are many colleges which gives degree for management but if you want to do bachelors of management from symbiosis then it's really good idea and you should not stop.while Christ University provide other courses to and it is not specifically specialised for management.
I hope it's helpful.
let me clear your doubt. both the colleges are best college for bba and top ranking college. you can join any of the two college
both college have good infrastructure, education, professor and placement.
I hope my answer will help you out