Multiple choice

In a country X, democratic, conservative and justice parties have fought three civil wars in twenty years. To restore stability, an agreement is reached to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The three top office holders must have two deputies each, one from each of the other parties. Each deputy must choose a staff composed of equal members of his or her chief's party and member of the third party.

When justice party holds one of the top offices, which of the following cannot be true?

  1. Some of the staff members within that office are justice party members.

  2. Some of the staff members within that office are democratic party members.

  3. Two of the deputies within the other offices are justice party members.

  4. Two of the deputies within the other offices are conservative party members.

  5. Some of the staff members within the other offices are justice party members.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When Justice party holds a top office, that office has a Justice chief. The two deputies must be from the other two parties (not Justice). Each deputy's staff is equally split between their chief's party and the third party. Since the third party for each deputy is Justice, and the split must be 50-50, no Justice party members can be on the staff in that office. Therefore option A cannot be true.

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