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If 'X' is greater than 'Y' and 'Y' is less than 'Z', which of the following is t

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Question: If \'X\' is greater than \'Y\' and \'Y\' is less than \'Z\', which of the following is true?

Options:

  1. X < Z
  2. Y > Z
  3. X > Z
  4. Y < X

Correct Answer: Y < X

Solution:

\'Y < X\' is true since \'X\' is greater than \'Y\'.

If 'X' is greater than 'Y' and 'Y' is less than 'Z', which of the following is t

Practice Questions

Q1
If 'X' is greater than 'Y' and 'Y' is less than 'Z', which of the following is true?
  1. X < Z
  2. Y > Z
  3. X > Z
  4. Y < X

Questions & Step-by-Step Solutions

If 'X' is greater than 'Y' and 'Y' is less than 'Z', which of the following is true?
  • Step 1: Understand the given information. We know that 'X' is greater than 'Y' (X > Y) and 'Y' is less than 'Z' (Y < Z).
  • Step 2: From 'X > Y', we can conclude that 'Y' is less than 'X'. This means 'Y < X' is true.
  • Step 3: The second part of the information tells us that 'Y' is less than 'Z', but this does not affect the relationship between 'X' and 'Y'.
  • Step 4: Therefore, the only conclusion we can confidently make from the information given is that 'Y < X' is true.
  • Inequalities – Understanding the relationships between numbers based on given conditions.
  • Transitive Property – If 'X' > 'Y' and 'Y' < 'Z', then 'X' can be compared to 'Z' indirectly.
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