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In a class of five students, X, Y, Z, W, and V, X is taller than Y but shorter t

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Question: In a class of five students, X, Y, Z, W, and V, X is taller than Y but shorter than Z. W is shorter than V but taller than X. Who is the tallest?

Options:

  1. X
  2. Y
  3. Z
  4. V

Correct Answer: Z

Solution: 

The height order is Z > X > Y and V > W > X. Therefore, Z is the tallest.

In a class of five students, X, Y, Z, W, and V, X is taller than Y but shorter t

Practice Questions

Q1
In a class of five students, X, Y, Z, W, and V, X is taller than Y but shorter than Z. W is shorter than V but taller than X. Who is the tallest?
  1. X
  2. Y
  3. Z
  4. V

Questions & Step-by-Step Solutions

In a class of five students, X, Y, Z, W, and V, X is taller than Y but shorter than Z. W is shorter than V but taller than X. Who is the tallest?
  • Step 1: Identify the relationships given in the question.
  • Step 2: From 'X is taller than Y but shorter than Z', we can write: Z > X > Y.
  • Step 3: From 'W is shorter than V but taller than X', we can write: V > W > X.
  • Step 4: Now we combine the two sets of relationships: Z > X > Y and V > W > X.
  • Step 5: Since Z is taller than X and V is taller than W, we need to compare Z and V.
  • Step 6: We don't have direct information comparing Z and V, but we know Z is taller than X, and V is taller than W, who is also taller than X.
  • Step 7: Therefore, we can conclude that Z is the tallest among all the students.
  • Inequalities – Understanding and comparing heights using inequalities based on given relationships.
  • Logical reasoning – Using logical deduction to determine the tallest student based on comparative statements.
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