Explanation

The grammatically correct sentence is:

(A) Despite her exhaustion, the dedicated scientist continued to meticulously analyze the intricate data sets.

• "Despite her exhaustion" correctly shows the contrast between her fatigue and her dedication.
• "The dedicated scientist" uses the singular "scientist" since the sentence focuses on one individual.
• "Intricate data sets" is the correct form, as "data" is typically treated as plural, and "sets" refers to multiple collections of data.
• "Meticulously analyze" is the correct verb form to match the context of detailed examination.