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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 U plays third, what is the latest position in which Y can play?
  1. first
  2. second
  3. fifth
  4. sixth

Answer and explanation

Correct answer: D - sixth
Try Y sixth: seventh can only be Z (T, Y barred; W needs a follower; X must precede W). W must then be immediately before Y, so W fifth; X before W and not 1st/2nd with U third gives X fourth, V second, T first: T V U X W Y Z, which satisfies all rules. Y cannot be seventh, so sixth is the latest.

Practice for these exams

  • CUSAT CAT Integrated IPR Ph.D.

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