If you had worked hard you ___________ have passed.(a) may(b) will(c) would(d) might

To fill in the blank in the sentence "If you had worked hard you ___________ have passed," we need to consider the context of the sentence, which suggests a hypothetical situation about the past.

Analysis

1. Understanding Conditional Sentences: The sentence is an example of a third conditional form, which is used to express hypothetical situations in the past that did not happen. The structure typically is "If + past perfect, would/could/might/must + have + past participle."

2. Verbs and Their Meanings:

   • (a) may - suggests a possibility but does not fit the context of a hypothetical past.
   • (b) will - is used for future events, not appropriate here.
   • (c) would - indicates a consequence of an unreal past condition, making it a strong candidate.
   • (d) might - suggests a weaker possibility than "would," but could still fit the context.

Conclusion

Considering this analysis, the most fitting option is (c) would because it indicates what could have happened if the condition had been met.

Final Answer

If you had worked hard you would have passed. (c) would