Ok. Of your bugchecks 7F/8E/50 see below for an explanation of what they mean.
0x0000007F: UNEXPECTED_KERNEL_MODE_TRAP
One of three types of problems occurred in kernel-mode: (1) Hardware failures. (2) Software problems. (3) A bound trap (i.e., a condition that the kernel is not allowed to have or intercept). Hardware failures are the most common cause (many dozen KB articles exist for this error referencing specific hardware failures) and, of these, memory hardware failures are the most common.
0x0000008E: KERNEL_MODE_EXCEPTION_NOT_HANDLED
A kernel mode program generated an exception which the error handler didn’t catch. These are nearly always hardware compatibility issues (which sometimes means a driver issue or a need for a BIOS upgrade).
0x00000050: PAGE_FAULT_IN_NONPAGED_AREA
Requested data was not in memory. An invalid system memory address was referenced. Defective memory (including main memory, L2 RAM cache, video RAM) or incompatible software (including remote control and antivirus software) might cause this Stop message, as may other hardware problems (e.g., incorrect SCSI termination or a flawed PCI card).
You have some kind of hardware problem. This could be your ram, and is the most common cause. It could also be your video ram/L2 cache ram of your cpu/a faulty mobo/a faulty psu etc.
As you are no doubt aware. Diagnosing a hardware problem can be very difficult.
Please be aware that some faulty ram can pass memtest.
If you are convinced that your ram is good, then you need to look elsewhere for the culprit.
Regards Howard