tell me guyz can . core 2 duo processor handle 4gb ram n r7 250

Solution
Surely no problem
But due to old processor and this low range card
Dont go any furthur above low settings and 720p resolution!
I would say it depends on which Core2duo. If its one of the ones around 3Ghz then yes medium settings shouldn't be too out of the question even at 1080p for some games. For those games you just named, not sure where exactly you will fall at but it will be playable.