Random BSOD's 0x00000024 and 0x0000003b

I am working on a relatively new machine that has been having random BSOD's since Sept last year for friend of mine. Generally from looking at the mini dump files there are about 6 a month occurrring. I have been trying to troubleshoot this PC for its owners since then and have hopefully ruled a few things out. The machine sits idle for a lot of the day and only Outlook, Powerpoint and Word are run occassionally throughout the day. Powerpoint would be the most used program. It synchronises files once a day with a WinXP machine.

I have tested RAM, but both Windows Memory Diagnostics & Memtest86+ haven't found any errors, I have also set the RAM settings specified by Corsair manually in the BIOS. I have also ran Chkdsk multiple times with no errors. Also have ran sfc /scannow with no problems reported.

Today for the first time I did see a windows error that stated "desktop manager has stopped working", and was then followed by a BSOD 0x00000024.

Most of the errors lately have been;
0x00000024 - NTFS_FILE_SYSTEM
0x0000003b - SYSTEM_SERVICE_EXCEPTION
0x0000004e - PFN_LIST_CORRUPT
0x00000050 - PAGE_FAULT_IN_NONPAGED_AREA
but there have been these right from delivery of the machine when new;
0x00000109 -
0x0000001e - KMODE_EXCEPTION_NOT_HANDLED

The machine was built by a local computer business (who have said it's software related and not their problem) and the specs are;
Gigabyte GA-A75M-UD2H MB,
AMD X4 A8-3850 APU
500W PSU, 1TB Spinpoint F3 7200rpm HDD - SATA II
Corsair RAM 2 x 2GB DDR3 PC-10600 1333MHz
running Windows 7 Professional 64bit OEM.

I've run the app and attached the system info and performance monitor reports.

I'm really at a loss where to look now. I thought for sure I'd find a problem with RAM. Any ideas?

Test your RAM using Memtest86+. Let it run until 6-8 passes have completed or errors have been found.
RAM - Test with Memtest86+

Run a chkdsk on the system partition to check for bad sectors or system errors.
Disk Check

Make sure all Windows updates are installed.

You should also update any other drivers you can think of including graphics, audio, chipset etc.

What anti-virus are you using?

Enable Driver Verifier. Enabling this should hopefully crash your system and then point to the faulty driver that is causing problems. However before you do, it is advised that you create a system restore point and backup first.
Driver Verifier - Enable and Disable

The BIOS driver should definitely be updated. However, an sfc/scan does not check for our of date drivers, it checks for system errors. Therefore, you may have to go through and manually update the aforementioned drivers (graphics audio, chipset etc).

You should also run another sfc/scannow command in an elevated command prompt. If errors are found, run it twice more with each scan followed by a reboot.
SFC /SCANNOW Command - System File Checker

At least to test, uninstall Trend Micro and install MSE (Microsoft Security Essentials) instead.
Microsoft Security Essentials - Free Antivirus for Windows

Hi,

I ran Driver Verifier and as soon as the machine booted it had a BSOD which listed this Realtek Audio driver as the problem "RTKVHD64.sys". I tried to update driver from the web but it says it has the latest. So I decided to update the BIOS to F5 first and surprise, the audio driver has been updated to a later versioned Microsoft driver.

SFC /SCANNOW has just completed and did not find any integrity violations. Will check the other driver versions now.

I've attached a copy of the dump file which resulted and the error code 0x000000d5 if I am reading it right, it shows the error occurred at the same address as all the other errors. I also ran Driver Verifier again for a short while, with no more trouble.

As it can be up to a week between BSOD's, I suppose now it's a game of wait and see, with fingers crossed. :)

Just wanted to say thanks too, you guys are absolutely fantastic and the how to's are brilliant.

rtkvhd64.sys looks like some sort of Realtek driver. From the link below install the latest codecs and drivers associated with your computer.
Realtek

You may also want to download any other audio drivers you can find associated in your motherboard including the ones found on the following page.
GIGABYTE - Motherboard - Socket FM1 - GA-A75M-UD2H (rev. 1.0)

Great, post back if your friend gets any more BSOD's.