Correct option is B
The correct option to complete the idiom is (b) mulling.
The idiom "mulling over" means to think about something carefully and for a long time. This fits perfectly in the context of the sentence, where the speaker is contemplating two options.
Example: She spent the evening
mulling over her decision to move abroad, considering all the pros and cons.
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Meanings of other options:
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Seeing: In the context of vision or understanding something clearly, not relevant to thinking or contemplating.
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Looking: Typically involves visually inspecting or searching, not suitable for describing thoughtful consideration.
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Obsessing: Implies a compulsive or fixated attention, which is more intense and less neutral than "mulling over."