Correct option is C
Both sentences correctly use the highlighted conjunctions "whereas" and "nevertheless," making
(c) Both 1 and 2 the correct choice.
Analysis of Each Sentence:
1.
You have been frivolous, whereas I have been serious.
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Whereas is used correctly here as a conjunction to highlight a contrast between two different states or behaviors. It sets up a direct comparison, emphasizing the difference between being frivolous and being serious. This is a proper use of "whereas" to indicate a contrast in conditions or attitudes between two subjects.
2.
The difficulties seemed insurmountable; nevertheless, the courage to carry on was undaunted.
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Nevertheless is used appropriately as a conjunctive adverb to indicate a contrast or contradiction. It effectively transitions from the acknowledgment of the seemingly insurmountable difficulties to affirming that, despite these challenges, the courage to continue remained strong. The use of "nevertheless" here underscores resilience and determination in the face of adversity.
Conclusion: In Sentence 1, "whereas" properly contrasts two differing behaviors, and in Sentence 2, "nevertheless" aptly shifts the focus from the challenge to the perseverance. Both uses are textbook examples of how these conjunctions should function to introduce contrast or contradiction in formal English writing. Therefore, option
(c) Both 1 and 2 is correct as both sentences correctly use the highlighted words in their respective contexts.