The Director leaves on Tuesday on tour of the overseas branches of the company.

The correct answer is A. round.

A round trip is a journey that starts and ends at the same place. In this case, the Director is leaving on Tuesday on a tour of the overseas branches of the company. This means that he will be leaving from his home country, visiting the overseas branches, and then returning to his home country.

The other options are incorrect.

• Private means belonging to or for one person or group only. In this case,
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  the Director’s tour of the overseas branches is not a private trip. It is a business trip.
• Journey means a long trip, especially one made for pleasure. In this case, the Director’s tour of the overseas branches is not a journey. It is a business trip.
• Personal means relating to or characteristic of a particular person. In this case, the Director’s tour of the overseas branches is not a personal trip. It is a business trip.