The __________ of how to allocate the __________ resources among competing projects required careful __________.

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**Solution:**

1. The sentence talks about a difficult problem related to distributing resources among projects, which requires careful thought.

2. The word **conundrum** means a puzzling or difficult problem, which fits the context better than other options.

3. The resources are described as **limited**, meaning they are scarce or restricted, which is appropriate here. Other options like "inexhaustible" (meaning unlimited) do not fit logically.

4. The last blank requires a word that means thoughtful examination or reflection, so **consideration** is the best choice.

5. Putting it all together, the sentence reads:

"The **conundrum** of how to allocate the **limited** resources among competing projects required careful **consideration**."

6. Other options either use words that do not fit the meaning or context, such as "candor" (honesty), "zealous" (enthusiastic), or "vicarious" (experienced through another).

**Answer:** (c) conundrum, limited, consideration

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