Which graphic card should I prefer I have intel core 2 duo E7200
I have motherboard of intel -DG31PR with RAM of 3 GB
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Assuming you want a card to game with, I would recommend either the HD 7570 or the new GTX 750/750 Ti. Neither one requires an aux 6 pin power connector. While both cards say they require a 400W or better PSU, I can verify that they work fine on a 300W if that's what you have.