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B
could
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C
can
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D
must
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Solution
The correct option is A would Option A is the correct answer because 'would' expresses ideas such as willingness or determination, would is also used to ask polite questions.
Option B and C are incorrect because 'can' and 'could' express ability to do something. But the sentence here talks about the willingness of the subject and not its ability.
Option D 'must' is incorrect as must is used to state certainty, or a necessary event which is not valid in this case.