Final answer:
Mercury, Gallium, and Bromine are elements that are liquids at or near room temperature, but they belong to different groups on the periodic table and cannot be correctly categorized as noble gases, alkali metals, halogens, or inert gases.
Step-by-step explanation:
Mercury (Hg), Gallium (Ga), and Bromine (Br) do not all belong to the same group in the periodic table; thus, none of the provided options (noble gases, alkali metals, halogens, inert gases) is correct for all three elements. However, what is common among them is a little more subtle. Both Mercury and Gallium are metals, with Mercury being a transition metal and Gallium being a post-transition metal.
Bromine, on the other hand, is a nonmetal and specifically a halogen. The commonality they share is that they are all elements that are liquids at or near room temperature (Mercury is a liquid at room temperature, Gallium melts just above room temperature, and Bromine is a liquid at room temperature).