There is a very good chance you have failing RAM. This is not uncommon. It could be that the RAM vendor delivered broken RAM (not on purpose, but stuff happens), or you got the wrong specifications and the RAM is not keeping up with the Mac. Or some other issue.
You should most likely get your RAM vendor to replace them, or return them for a full refund and choose another RAM vendor (only you can decide which would be better).
Bad RAM does happen, even from the best RAM suppliers. How they treat you when you have an issue is sometimes more important than anything else.
Long term forum responders seem to like Crucial.com and MacSales.com for RAM. Both very reliable vendors and they do stand behind their products and are prompt with repair/replacement.
If you want to run some tests, you could use Rember
<http://www.kelleycomputing.net/rember/>
You should boot your mac into Safe Mode and NOT start any other apps so that Rember has the maximum amount of RAM available for testing.
<http://support.apple.com/kb/ht1564>
When you run Rember, set the repeat count to a very high value so that it will run overnight. Single pass testing is never enough for RAM testing. Sometimes it takes hours and hours for a RAM failure to make itself known.