Step 1: Understanding the Question:
We are given four words, Prolixity, Brevity, Agreement, and Proposition, and must pick the pair that are either synonyms or antonyms of each other.
Step 2: Key Formula or Approach:
Start by fixing the meaning of each word, then look for a pair that clearly shares or opposes that meaning.
"Prolixity" means the quality of being overly long winded or wordy in speech or writing.
"Brevity" means the quality of being short and to the point.
"Agreement" means a state of shared opinion or a formal understanding between parties.
"Proposition" means a statement put forward for consideration, or a suggested plan.
Step 3: Detailed Explanation:
"Prolixity" and "Brevity" sit at directly opposite ends of the same idea: one is about saying too much, the other about saying very little, so these two are antonyms.
"Agreement" and "Proposition" are unrelated in meaning to "Prolixity" or "Brevity," since they deal with consensus and suggestions, not with the length of speech, so any pair mixing these words with the first two fails to show a clear synonym or antonym link.
Check option (b), Prolixity and Agreement: no real opposite or shared meaning connects wordiness with shared consent, so this pair is wrong.
Check option (c), Brevity and Proposition: shortness of speech and a suggested plan are unrelated ideas, so this pair is wrong too.
Check option (d), Prolixity and Proposition: being wordy and putting forward a suggestion are also unrelated, so this pair fails as well.
Step 4: Final Answer:
"Prolixity" (excessive wordiness) and "Brevity" (shortness) are direct opposites, so the correct option is (a), I and II.