Question: If \'X\' is greater than \'Y\' and \'Y\' is greater than \'Z\', which of the following must be true?
Options:
X is greater than Z
Z is greater than X
Y is less than Z
X is equal to Y
Correct Answer: X is greater than Z
Solution:
From the given statements, we can conclude that X is greater than Z.
If 'X' is greater than 'Y' and 'Y' is greater than 'Z', which of the following m
Practice Questions
Q1
If 'X' is greater than 'Y' and 'Y' is greater than 'Z', which of the following must be true?
X is greater than Z
Z is greater than X
Y is less than Z
X is equal to Y
Questions & Step-by-Step Solutions
If 'X' is greater than 'Y' and 'Y' is greater than 'Z', which of the following must be true?
Step 1: Understand the statements given. We have 'X' is greater than 'Y' (X > Y) and 'Y' is greater than 'Z' (Y > Z).
Step 2: Since 'X' is greater than 'Y', we know that 'X' is larger than something that is already larger than 'Z'.
Step 3: Now, since 'Y' is greater than 'Z', we can say that 'Z' is smaller than 'Y'.
Step 4: Therefore, if 'X' is greater than 'Y' and 'Y' is greater than 'Z', it follows that 'X' must also be greater than 'Z'.
Step 5: So, we conclude that 'X' is greater than 'Z' (X > Z).
Transitive Property of Inequality – If one quantity is greater than a second, and the second is greater than a third, then the first quantity is greater than the third.
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