As I know SuSE is RPM-based distro.
So
	
	- $ rpm -qf /usr/bin/designer 
        $ rpm -qf /usr/bin/designer
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  should give you name of PRM package with Qt developer's tools (in my case it is qt-devel-3.3.5-11.0.fc3.kde)
Next step:
	
	- $ rpm -V qt-devel 
        $ rpm -V qt-devel
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  If your file was somehow lost you'll get a message.
Alternate way is use
	
	- $ rpm -ql qt-devel | less 
        $ rpm -ql qt-devel | less
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  for list all files from package.
				
			
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