Which of the following words describes a state of being drunk?

The term that describes a state of being drunk is "inebriated." This word specifically refers to the condition of being intoxicated by alcohol or drugs, and it is commonly used in contexts involving drinking. When someone is inebriated, they experience various impairments in their physical and mental faculties due to the consumption of intoxicating substances. This makes it the most appropriate choice for indicating a state of drunkenness, as it captures the essence of how alcohol affects the body and mind.

In contrast, the other words do not relate to intoxication. "Inexorable" means that something is relentless or impossible to stop, "innocuous" refers to something that is harmless or not likely to cause injury or offense, and "insensitive" describes a lack of sensitivity or understanding toward others' feelings or situations. Each of these words covers different meanings and contexts, making them unsuitable for describing a state of being drunk.