Final answer:
CH₃OH (methanol) and C₆H₆ (benzene) are likely to form a homogeneous mixture due to their similar polarities, which allows them to be miscible.
Step-by-step explanation:
The pair that is likely to form a homogeneous mixture is CH₃OH (methanol) and C₆H₆ (benzene). This is because both substances are organic and have similarities in their polarities, allowing them to be miscible with each other. Other pairs given, such as LiI and Hg; C₆H₁₄ and Br₂; and CCl₄ and H₂O, are unlikely to form homogeneous mixtures due to significant differences in polarity or phase, leading to immiscibility. Thus, the correct answer is c. CH₃OH and C₆H₆.