Which two groups of insects are known to feed on stored woolens, furs, and feathers?

The choice of clothes moths and carpet beetles is correct because these insects are specifically known for their destructive feeding habits on materials derived from animal fibers, such as wool, furs, and feathers. Clothes moths, in particular, are attracted to these items and their larvae feed on natural fibers, causing significant damage to garments and other textiles. Carpet beetles also have larvae that consume wool, furs, and similar substances, posing a threat to stored items.

Termites and silverfish, while they can affect other materials, are not primarily associated with these specific textiles. Termites target cellulose in wood and plant-based materials, whereas silverfish are more inclined to feed on starchy substances rather than animal-based fibers.

Bed bugs and fleas primarily feed on blood rather than fabrics made from animal fibers, making them unsuitable choices in this context. Similarly, ants and roaches predominantly scavenge for food and organic materials unrelated to woolens or feathers.

Thus, the association of both clothes moths and carpet beetles with damaging stored woolens, furs, and feathers solidifies the correctness of the selected answer.