How to check if WMI is broken or not?

Solution 1:

or just do somethig like this at an elevated prompt

wmic os

Solution 2:

WMIDiag is a good place to start.

WMI Diagnosis Utility
http://technet.microsoft.com/en-us/library/ff404265.aspx

WMIDiag download
http://www.microsoft.com/download/en/details.aspx?displaylang=en&id=7684