Step 1: Understanding the Question:
The question asks for the closest synonym for the adjective "BUOYANT".
We will look at both the literal and figurative meanings of the word to deduce the answer.
Step 2: Detailed Explanation:
The word "BUOYANT" literally refers to the ability or tendency to float in water or air.
Figuratively, when applied to a person's mood or personality, it means cheerful, resilient, and optimistic.
For example, "Despite the economic crash, the market remained surprisingly buoyant."
Let us analyze Option (A) "optimistic".
Optimistic means hopeful and confident about the future. This perfectly matches the figurative definition of a buoyant, uplifting personality.
Let us analyze Option (B) "tired".
Tired means in need of sleep or rest, which is entirely contrary to the energetic nature of being buoyant.
Let us analyze Option (C) "empire".
Empire is a noun referring to an extensive group of states or countries under a single supreme authority. Unrelated.
Let us analyze Option (D) "anxious".
Anxious means experiencing worry, unease, or nervousness, which is emotionally opposite to being buoyant.
Let us analyze Option (E) "sturdy".
Sturdy means solidly built or strong. While positive, it refers to physical strength rather than an uplifting emotional state.
Therefore, "optimistic" is the correct synonym.