The correct option for the sentence "By the end of the next semester he .... his University education" is A. would have completed. Let's break down why this is the correct choice and analyze the other options. Step-by-Step Explanation

1. Understanding the Context: The phrase "By the end of the next semester" indicates a future point in time. The use of "by" suggests that the action will be completed before or at that time.
2. Analyzing the Options:
3. A. would have completed: This option uses the future perfect tense. The future perfect tense is used to describe an action that will be completed before a specified point in the future. In this case, "would have completed" indicates that by the end of the next semester, the action of completing his university education will be finished. This is the most appropriate choice given the context.
4. B. will be completing: This option uses the future continuous tense. It suggests that the action will be ongoing at that future time. However, the sentence requires a completion of the action by that time, not an ongoing process. Therefore, this option does not fit the context.
5. C. shall have completed: This option also uses the future perfect tense, similar to option A. However, "shall" is often used in more formal contexts or in British English, and it can imply a sense of obligation or determination. While grammatically correct, it is less commonly used in modern English compared to "would have" in this context, making it a weaker choice.
6. D. was completing: This option uses the past continuous tense. It suggests that the action was ongoing in the past, which does not align with the future context of the sentence. Therefore, this option is incorrect.

Why the Other Options are Wrong or Weaker

• Option B (will be completing): This option implies that the action is still in progress at the end of the next semester, which contradicts the idea of completion. The sentence requires a form that indicates the action is finished by that time.
• Option C (shall have completed): While this is grammatically correct, it is less common in everyday usage compared to "would have completed." It may also sound overly formal for the context, making it a less natural choice.
• Option D (was completing): This option is entirely incorrect as it refers to a past action rather than a future completion. The context of the sentence clearly indicates a future timeframe.

Summary of Key Points

• The correct answer is A. would have completed because it accurately reflects the future perfect tense, indicating that the action will be completed by a specific future time.
• Option B is incorrect as it suggests an ongoing action rather than completion.
• Option C, while correct, is less commonly used and sounds overly formal in this context.
• Option D is incorrect as it refers to a past action, which does not fit the future context of the sentence.

Revision Summary

• Future Perfect Tense: Used to indicate an action that will be completed before a specific future time.
• Correct Option: A. would have completed is the best choice for indicating completion by the end of the next semester.
• Common Pitfalls: Confusing future continuous with future perfect; using overly formal language when simpler options are available.
• Practice: Always consider the context of the sentence to determine the appropriate tense and form.