What type of beetle is recognized by its yellow and black scales that create irregular patterns on its pronotum and wing covers?

The varied carpet beetle is distinguished by its unique appearance, characterized by yellow and black scales that form irregular patterns on both its pronotum (the area behind the head) and its wing covers. This distinctive coloration and pattern make it easily identifiable among other beetles.

In addition to its appearance, the varied carpet beetle is known for its larval stage, which is a common pest in households because it feeds on a variety of organic materials, including wool, fur, and other natural fibers. Understanding this beetle's identification features can aid in the effective control and management of infestations.

The other beetles listed in the options do not exhibit the same colorful pattern and scale arrangement as the varied carpet beetle. For instance, the black carpet beetle is typically all black or dark brown, the Asian lady beetle varies in color but lacks the distinct yellow and black scales of the varied carpet beetle, and the rug beetle, while also a household pest, does not share the same coloration and patterns. This makes the varied carpet beetle the correct choice when identifying the beetle described in the question.