Not to sure if your trying to play anything newer; i.e. .bf4, black flag, etc...
like chainzsaw says,
"You definitely won't be able to play most games on highest or max detail settings. However it is still a very slick system (i3's are actually pretty good for gaming)."
That being said, if you do play a game thats processor intensive; (like bf4); then you should brace yourself for some bottlenecking....
Im sure the i3 would bottle neck a 780ti, but a 650ti boost?
I would be interested to know how this pans out.
It is indeed a slick little system.
I'll reiterate what Chainzsaw and dave1642 have said. It's a good combination of components, but you won't be able to play at full HD with the advanced settings cranked up. It'll either have to be a lower resolution and higher advanced settings, or a higher resolution with lower (or none) advanced settings.
Like dave1642 said, some games are more CPU intensive than others, and this is where your i3 will struggle. If you can tell us what games you'd like to play, we can give you more specific answers.