The correct option for the phrase "difficult to believe" is C. incredible. Let's break down why this is the right choice and why the other options are not suitable. Step-by-Step Explanation

1. Understanding the Phrase:
2. The phrase "difficult to believe" suggests that something is hard to accept as true or plausible. This is a key point in determining the nearest meaning.
3. Analyzing the Options:
4. A. incredulous: This word describes a person who is unwilling or unable to believe something. While it relates to disbelief, it refers to a state of mind rather than describing something that is hard to believe. Therefore, it does not directly match the meaning of "difficult to believe."
5. B. credible: This term means that something is believable or trustworthy. It is the opposite of "difficult to believe." If something is credible, it is easy to accept as true, which contradicts the original phrase.
6. C. incredible: This word means something that is so extraordinary or unusual that it is hard to believe. It directly aligns with the phrase "difficult to believe," making it the best choice.
7. D. credulous: This term describes a person who is too willing to believe things, often without sufficient evidence. It implies gullibility, which is not related to the difficulty of believing something. Thus, it does not fit the meaning we are looking for.
8. Conclusion:
9. The word "incredible" captures the essence of something that is hard to believe, making it the correct answer. The other options either describe a state of disbelief (incredulous), imply believability (credible), or refer to gullibility (credulous), none of which match the original phrase.

Summary of Key Points

• The phrase "difficult to believe" indicates something that is hard to accept as true.
• C. incredible is the correct answer as it means something extraordinary or hard to believe.
• A. incredulous refers to a person's disbelief, not the quality of the story.
• B. credible means believable, which is the opposite of the original phrase.
• D. credulous describes someone who is too willing to believe, which does not fit the context.

Revision Summary

• "Difficult to believe" means something is hard to accept as true.
• The correct answer is C. incredible.
• Other options do not match the meaning: A (incredulous) refers to disbelief, B (credible) means believable, and D (credulous) implies gullibility.
• Understanding the nuances of these words is crucial for selecting the correct synonym.