You’ve been traveling all day. You ___ be very tired ?
Explanation
Conversely, the other options do not fit the context as well. "Can't" suggests impossibility, implying that the traveler is not tired, which contradicts the logical inference from their long day of travel. "Might" indicates a possibility but lacks the certainty needed in this context, leaving room for doubt. Lastly, "ought to" implies a recommendation or responsibility rather than a conclusion about the traveler’s state. Hence, "must" is the most appropriate choice here, emphasizing the speaker's strong belief in the weariness of the traveler after a long day.
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