Some LC Studio modules have a broken trace from the CS, Chip Select, pin on the module to CS on the SD card.
I attached a photo of one of these cards. I fixed the problem with a 30 gauge wire.
You can see the break in the trace between the four lower left pins.
The LC studio card is also missing level shifters so it applies 5V signals to CS, MOSI, and SCK. This causes many SD card to fail and could damage the card.
That's a pretty crappy PCB to have that wide of trace not be etched properly.
All,
In addition to fatLib's suggestion above about the bad CS trace, check out more detailed info on the level shifters issue he references in the thread below. Pin 1 of the regulator on the SD module needs to be grounded and it is not. If you're having trouble with the LC Studio SD card with an Arduino Pro Mini 5v (or other 5v xxx) check out this thread:
http://forum.arduino.cc/index.php?topic=122947.0
I purchased 10 of the LC Station SD Card Modules from eBay and NONE of them worked >:( . (I am using a Pro Mini 5v so 3.3 was not an option). I tried 8 different SD cards (known to be working) but got nothing and after 10 hours of frustration, I stumbled across the thread showing what pin to ground and all 10 cards are now successfully working! 
Thank you fatLib & Crossroads. Your posts have been invaluable to me as I continue to advance my skills. I would still be creating "Hello World" type stuff without you guys' and other forum contributors input.
I hope this helps someone who may see this but not the other thread which explicitly shows how to fix.
