PrepTest 77, Section 1, Question 21

Difficulty: 
Passage
Game
4

Exactly five volunteers—Haddad, Joslin, Kwon, Molina, and Nash—are being assigned to three community committees—X, Y, and Z. Each committee will have three volunteers assigned to it, with each volunteer on a committee holding exactly one of three positions—leader, secretary, or treasurer. The following conditions apply:

Exactly five volunteers—Haddad, Joslin, Kwon, Molina, and Nash—are being assigned to three community committees—X, Y, and Z. Each committee will have three volunteers assigned to it, with each volunteer on a committee holding exactly one of three positions—leader, secretary, or treasurer. The following conditions apply:

Exactly five volunteers—Haddad, Joslin, Kwon, Molina, and Nash—are being assigned to three community committees—X, Y, and Z. Each committee will have three volunteers assigned to it, with each volunteer on a committee holding exactly one of three positions—leader, secretary, or treasurer. The following conditions apply:

Exactly five volunteers—Haddad, Joslin, Kwon, Molina, and Nash—are being assigned to three community committees—X, Y, and Z. Each committee will have three volunteers assigned to it, with each volunteer on a committee holding exactly one of three positions—leader, secretary, or treasurer. The following conditions apply:

If Nash is assigned to a committee, Nash must be the leader for that committee.

Molina must be assigned to exactly one committee.

Kwon must be assigned to Y but cannot be assigned to Z.

Joslin must be the secretary for Y but cannot be assigned to X or Z.

Question
21

If Kwon is assigned to be leader for exactly one of the committees, then for which of the committees is the assignment of volunteers to positions fully determined?

X only

Y only

X and Y, but not Z

Y and Z, but not X

X, Y, and Z

B
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Explanations

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