It sounds like you're describing a standard resolution 25" K7000 series (25K7191, 25K7101) which requires operation from an isolation transformer.
The other models you mention are:
25K7400 (25", standard resolution, no isolation needed)
25K7500 (25", medium resolution, no isolation needed)
27K7500 (27", medium resolution, no isolation needed)
27D9200 (27", digital, multi-resolution, no isolation needed)
What model does not have a yoke? Many monitors cannot power up with the yoke not connected.
Are you trying to test all these monitors? If so you need to provide power (isolation transformer is prefered even for testing the non-isolated models) and a video source such as from a monitor pattern generator.