The correct answer is option (B):
Fastidious: Particular
The word pair "Authoritarian: Strict" represents a relationship where the first word describes a governing style or personality type, and the second word describes a characteristic of that style or type. An authoritarian person is typically strict.
Now let's analyze the options:
* Fallacious: Fraught - This pair relates a term (fallacious) to something (fraught) that is full of or associated with. This is not the same relationship as the original pair.
* Fastidious: Particular - This pair has a very similar relationship. A fastidious person is characterized by being particular, showing close attention to detail and being hard to please. This aligns perfectly with the Authoritarian: Strict relationship.
* Exemplary: Arrogant - This pair is incorrect. An exemplary thing or person is worthy of imitation, and arrogance is an excessive sense of self-importance. These words do not share a direct relationship.
* Apprehensive: Eager - This pair describes emotions that are nearly opposite each other. Apprehensive is to feel anxious or fearful, while eager means excited and enthusiastic.
* Neutral: Objective - This pair relates to objectivity in different forms. Neutral relates to an unbiased stance and objective relates to impartiality in thought.
Therefore, the best answer is Fastidious: Particular because the words share the same type of relationship (a characteristic of a person) as the original word pair.