The correct option to complete the sentence is C. hypocritical. Explanation of the Correct Answer:

1. Understanding the Sentence Context: The sentence states, "After our series of quarrels, it would be .... to pretend that I have any more regard for him." The key part of this sentence is the phrase "to pretend that I have any more regard for him." This implies that the speaker is considering acting in a way that is not genuine or true to their feelings.
2. Meaning of "Hypocritical": The word "hypocritical" refers to the act of pretending to have beliefs, opinions, or feelings that one does not actually possess. In this context, if the speaker pretends to have regard for someone after a series of quarrels, it would be insincere and thus hypocritical.
3. Why "Hypocritical" Fits: Given the context of having had quarrels, pretending to still care would be a false representation of the speaker's true feelings. Therefore, it is indeed hypocritical to act as if everything is fine when it is not.

Explanation of the Other Options:

• A. Hypothetical: This word refers to something that is based on or serving as a hypothesis; it is not grounded in reality. In this context, saying it would be "hypothetical" to pretend would not make sense because the act of pretending is not a theory or assumption; it is an action that can be judged as sincere or insincere.
• B. Essential: This word means absolutely necessary or extremely important. Saying it would be "essential" to pretend would imply that it is crucial for the speaker to act in a certain way, which does not align with the context of the sentence. The speaker is not suggesting that pretending is necessary; rather, they are indicating that it would be insincere.
• D. Necessary: Similar to "essential," this word implies that something is required or needed. If the speaker were to say it is "necessary" to pretend, it would suggest that there is a requirement to act in a certain way, which contradicts the sentiment of the sentence. The speaker is expressing that they do not feel any regard, so pretending would not be a necessity.

Summary of Key Points:

• The correct answer is C. hypocritical because it accurately describes the insincerity of pretending to have regard after quarrels.
• "Hypothetical," "essential," and "necessary" do not fit the context of the sentence as they do not convey the idea of insincerity.
• Understanding the meanings of the words and their implications in context is crucial for selecting the correct option.
• The sentence reflects a personal sentiment about authenticity in relationships, highlighting the importance of being true to one's feelings.

This thorough analysis should help you understand why "hypocritical" is the best choice and how to approach similar questions in the future.