Which type of beetle is commonly found in stored grain and food mills, and prefers to feed on dried beans and seeds?

The correct response identifies the Black Carpet Beetle, which is indeed known for its association with stored grains and food products. This beetle thrives in environments where grains or foodstuffs are present, feeding on a variety of dried items, including beans and seeds. The lifecycle and feeding habits of the Black Carpet Beetle make it a significant pest in mills and storage areas, as it can cause damage to grain and food stocks.

In contrast, the Varied Carpet Beetle is also found in similar environments but has different preferences and feeding habits, largely favoring natural fibers and other organic materials rather than specifically targeting dried beans and seeds. Clothes Moths primarily feed on wool and other animal fibers rather than plant materials, making them less relevant in this context. The Rice Weevil is known for feeding on rice and some grains but is less commonly associated with beans and seeds. Therefore, the Black Carpet Beetle stands out as the correct answer due to its specific diet and the environments in which it is commonly found.