Step 1: Understanding the Concept:
This sentence completion question has two blanks that must be filled to create a logically coherent statement. The two words must be consistent with each other and with the context of a president making a difficult decision.
Step 2: Key Formula or Approach:
1. Analyze the first blank. It follows "lengthy," suggesting a long process of careful consideration before making a decision.
2. Analyze the second blank. It describes the opinions that were being "painstakingly" weighed. The word "painstakingly" implies difficulty and complexity, suggesting the opinions were not simple or all the same.
3. Evaluate the pairs of words to find the best fit.
Step 3: Detailed Explanation:
- Let's examine option (A): "deliberation.. divergent." A "deliberation" is a long and careful discussion, which fits perfectly with "lengthy." "Divergent" opinions are ones that differ or conflict, which would require "painstakingly weighing." This pair is an excellent fit.
- Option (B) is incorrect because if the opinions were "unanimous" (all in agreement), there would be no need for lengthy or painstaking weighing.
- Option (C) is incorrect for a similar reason. If opinions were "consistent," the decision would be much easier.
- Option (D) is weak. While there might be "speculation," "deliberation" is a more formal and fitting term for a presidential process. "Conciliatory" (intended to pacify) opinions might not require such difficult weighing.
- Option (E) is incorrect. "Canvassing" (soliciting votes/opinions) is part of the process, but "deliberation" is a better word for the overall consideration. "Arbitrary" (random or baseless) is not a fitting description for opinions from cabinet members.
Step 4: Final Answer:
The pair "deliberation" and "divergent" accurately describes a president engaging in a long process of careful thought to resolve differing viewpoints among advisors.