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Study the information and answer the question. Seven piano students—T, U, V, W, X, Y, and Z—are to give a recital, and their instructor is deciding the order in which they will perform. Each student…

Question and options

Study the information and answer the question. Seven piano students—T, U, V, W, X, Y, and Z—are to give a recital, and their instructor is deciding the order in which they will perform. Each student will play exactly one piece, a piano solo. In deciding the order of performance, the instructor must observe the following restrictions:
1. X cannot play first or second
2. W cannot play until X has played
3. Neither T nor Y can play seventh
4. Either Y or Z must play immediately after W plays
5. V must play either immediately after or immediately before U plays
If V plays first, which one of the following must be true?
  1. T plays sixth
  2. X plays third
  3. Z plays seventh
  4. T plays immediately after Y

Answer and explanation

Correct answer: C - Z plays seventh
V first forces U second (V adjacent to U). Positions 3-7 hold T, W, X, Y, Z. Seventh cannot be T or Y (rule 3), W (needs Y or Z right after it), or X (W must follow X). So Z must play seventh.

Practice for these exams

  • CUSAT CAT Integrated IPR Ph.D.

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