Which of the following items was common in fashion during the 1910s?

The correct choice is bloomers, which were indeed a prominent feature of women's fashion in the 1910s. During this decade, bloomers, a type of loose-fitting trousers worn by women, gained popularity as part of the early feminist movement and the push for more practical and comfortable clothing. They were often worn under dresses or skirts, representing a significant shift from the restrictive garments of previous eras.

The duster coat, while popular in certain contexts, was more associated with outdoor activities and earlier periods. Poodle skirts emerged much later, in the 1950s, as part of the youth culture of that time, and logo wear became prevalent in the late 20th century, particularly with the rise of casual fashion and branding. These items do not represent the fashion trends of the 1910s, highlighting why bloomers are the correct answer for this era.