"Audacious" means showing a shameless lack of fear. "Brazen" also means shameless and courageous, so "brazen" is the correct answer.

Pompous means proud and arrogant. To further help you, surly means rude and grumpy; delectable means very tasty; sluggish means lacking energy.

The word "gracious" is used to describe someone who is polite. Often it is used to describe someone who is polite in victory or defeat, someone who is friendly after the end of a competition. To provide further help, "sociable" means talkative, friendly; "potent" means powerful and "impotent" means not powerful. Notice the impact of the prefix im-. 

A devoted person is someone who is loyal and caring.  The verb "to devote" is used to describe spending one's time on a given task. For example, we could say, "He devoted many hours to helping his mother bake cookies for Christmas."  The adjective "devoted" expresses some of this same sense of "being involved;" however, it takes on the idea of being loyal. Thus, we would say something like, "He was a devoted friend, always ready to help in even the most difficult of times."

The word "suspicious" has many negative meanings associated with it. In general, "suspicious activity" is activity that is in some way questionable and not good. It indicates that some kind of secrecy is going on. You might be tempted to pick many of the options that have such bad overtones. Suspicious activity is not, however, essentially illegal activity. Instead, it is just "questionable." For example, you could say, "His explanation was suspicious, so his mother decided to check into the matter further."

The word "rational" comes from the Latin roots meaning able to reason. Reasoning is just the manner of thinking that we do when we think logically. For example, you might think: "I generally hate any kind of oatmeal. This food is oatmeal. Well, therefore, I likely will hate this food." This is a rational or logical way of thinking.

When something is "mature," it is fully developed. Sometimes, the word is used to describe food that has become ripe; however, it can also be used to describe someone's personality. For example, a mature adult is someone who takes life seriously, as is appropriate for someone of his or her age. An immature person is someone who is not mature. Thus, the best option among those provided here is "childish."

When someone is "reluctant," he or she hesitates to do some given task. For example, we could say, "Because of her fear of spiders, Courtney was reluctant to enter the old house for fear of finding many of the insects in it." This means that Courtney did not want to enter the house and likely hesitated because of her fears.

The word "insane" is used to describe someone or something that is crazy. For instance, a person who has lost his or her mind would be called "insane". Such a person requires a lot of care to keep himself or herself safe. An "insane idea" is a crazy one. For example, if someone told you that they were going to try to use a pig as a parachute when jumping out of a plane, you could say that the person had an "insane idea." 

When we say that something is "agreeable," we are saying that it is enjoyable (or at least not unenjoyable). For this question, the correct answer is a synonym for the way that we say something like, "He had an agreeable personality."  This means that the person had a personality that was on the whole friendly and enjoyable. In a way, you could say that most people would agree to be around such a person!