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In a talent show, performer X received a higher score than Y but a lower score t

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Question: In a talent show, performer X received a higher score than Y but a lower score than Z. Performer W scored lower than X but higher than Y. What is the ranking from highest to lowest? (2023)

Options:

  1. Z, X, W, Y
  2. Z, W, X, Y
  3. X, Z, W, Y
  4. W, Z, X, Y

Correct Answer: Z, X, W, Y

Exam Year: 2023

Solution: 

The ranking is Z > X > W > Y based on the scores.

In a talent show, performer X received a higher score than Y but a lower score t

Practice Questions

Q1
In a talent show, performer X received a higher score than Y but a lower score than Z. Performer W scored lower than X but higher than Y. What is the ranking from highest to lowest? (2023)
  1. Z, X, W, Y
  2. Z, W, X, Y
  3. X, Z, W, Y
  4. W, Z, X, Y

Questions & Step-by-Step Solutions

In a talent show, performer X received a higher score than Y but a lower score than Z. Performer W scored lower than X but higher than Y. What is the ranking from highest to lowest? (2023)
  • Step 1: Identify the relationships between the performers based on their scores.
  • Step 2: Performer X scored higher than Y, so we write X > Y.
  • Step 3: Performer X scored lower than Z, so we write Z > X.
  • Step 4: Performer W scored lower than X but higher than Y, so we write X > W > Y.
  • Step 5: Now we combine the information: from Step 3, we have Z > X, and from Step 4, we have X > W > Y.
  • Step 6: Putting it all together, we get Z > X > W > Y as the final ranking from highest to lowest.
  • Inequalities and Ranking – Understanding how to compare and rank values based on given relationships.
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