hi what is the cheapest card that can run new games like BF , max payne3....etc , in a low settings with acceptable fps?
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Many cards will be able to run them at lowest settings. However, the lowest card I'd recommend would be HD 6670 DDR3 - below that price, performance/price ratio diminishes too quickly. For $10 drop you get like 3 times performance drop.
I'd go with the 7770 if you like AMD or the 550 Ti if you prefer Nvidia. You won't have the best settings but the games will be playable.
I'll suggest the Radeon HD 7750 which is between the performance of the HD 6670 and HD 7770. It consumes the least amount of power of the three and it can be used with a 300w PSU which should be pretty common on most brand name PCs. The HD 7770 performs better, but you may need to spending money on a new PSU if yours is not at least 350w.
Actually hd 7750 consumes around the same amount of power as the hd 6670.
Radeon HD 6670 w/ DDR5 RAM = $75 after rebate + Free shipping. This is the low profile version and it includes a bracket so that it can be inserted into a full height case. Also, DDR5 RAM will provide about a 7% - 10% better performance than the DDR3 version above. http://www.newegg.com/Product/Product.aspx?Item=N82E16814102958