can I get faster RAM with overclocking?

Hi I have heard many things about overclocking and I have many questions related to it that I need to ask. The first question that I have is that can I overclock my 960 processor without getting a more rapidly fast Ram, as it is not a gaming memory it is an ordinary Hynix brand Dell uses a lot? And the most important question before attempting to overclock is can overclocking make faster RAM? And which is the best for my system? Please help

I would really like to help you but before I need to know the system details of your pc, so kindly mention your system details as soon as possible so that I can help you in a better way. As even I have been using overclocking on my pc from over past two years and I have gather a lots of information on it now, and help you with the same.

I would like to thank you for your quick reply the system details of my pc is as below:
Alienware area 51 ALX
I 7 960 CPU with water cooling
2 X HD 5970 GPU's in Crossfire
2 X 1TB in RAID 0 WD brand 7200 RPM
Ram 12 Gb DDR 3 1333
Blue Ray Burner

If you actually wish for getting overclocking, I would consider Ram or 1600 MHz or further. And If you desire for getting a 6GB kit than it will be more costly as compared to other systems of yours, whereas a 12GB 1600 kit wont be that costly. Apart from this I would like to ask you, what power supply you have? As overclocking increases power draw and it is further important to have stable voltages.