Fill in the blank with an appropriate modal (that expresses certainty):
You've been travelling all day. You ______ be very tired.

can

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could

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may

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must

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Solution

The correct option is C must
'Can' indicates ability / capacity.
'Could' indicates past ability / permission.
'May' indicates permission / possibility.
'Must' indicates certainty or surety.
Here, the condition of the listener is implied by the previous statement (that he/she has been travelling all day.) It may, hence, be assumed as certain that they would be tired. Therefore, the correct option is D: must.

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