Programs for testing Ram are:

Memtest  http://hcidesign.com/memtest/download.html

Memtest86 http://www.memtest86.com/download.html

Memtest86+ http://www.memtest.org/#downiso

Usually problems with Ram will cause Program errors, Bluescreens at bootup, Bluescreens during operations or system reboot (if automatic failure recovery is enabled) and lots of program fatal exception errors and page mode default errors.

If you are getting a black screen at bootup it is most likely a virus.  In some cases it can be a bad graphics card (if you can boot to command line safe mode but not regular safe mode).  If booting to safe mode and then booting to last good configuration works, and if any of your security settings have been mysteriously changed or reset, it is almost always a virus.

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