In addition to the suggestion by [NAME] you can download and install memtest86, which for my money is one of the best RAM test pieces of software. That is available here and even one error during testing is a fail. Make sure to d/l the free version.
Other than using Dell Diagnostics, what method would you use to check your systems RAM for problems? For more questions regarding this contest, please visit the Information Page here.
DS 07/22: How can you check your systems RAM for problems, without using Dell 
Diagnostics?