Explanation:
Miscibility refers to the ability of two substances to mix together in all proportions to form a homogeneous solution. In this case, we are considering the miscibility between benzene, methanol, and water.

Benzene and Water:
Benzene is a nonpolar compound, while water is a polar compound. Nonpolar compounds are generally insoluble or only slightly soluble in polar solvents like water. Similarly, polar compounds are not soluble in nonpolar solvents like benzene. Therefore, benzene and water are immiscible with each other.

Methanol and Water:
Methanol is a polar compound due to the presence of the hydroxyl (-OH) group. Water is also a polar compound. Both methanol and water have similar polarities, which allows them to form hydrogen bonds with each other. Hydrogen bonding is a strong intermolecular force that enables the formation of a homogeneous solution. Hence, methanol and water are miscible.

Methanol and Benzene:
Methanol is a polar compound, but benzene is a nonpolar compound. As mentioned earlier, polar compounds are not soluble in nonpolar solvents. Therefore, methanol and benzene are immiscible with each other.

Conclusion:
Among the given options, only methanol and water are miscible with each other. The miscibility between methanol and water is due to their similar polarities and the ability to form hydrogen bonds. The other combinations, namely benzene and water, as well as methanol and benzene, are immiscible due to the difference in their polarities.