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If x> y and y > z, which of the following represents the greatest number?

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by BTGmoderatorLU » Wed Sep 30, 2020 10:11 am
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Source: Official Guide

If x > y and y > z, which of the following represents the greatest number?

A. x − z
B. x − y
C. y − x
D. z − y
E. z − x

The OA is A
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Re: If x> y and y > z, which of the following represents the greatest number?

by Scott@TargetTestPrep » Fri Oct 09, 2020 9:11 am
BTGmoderatorLU wrote: ↑
Wed Sep 30, 2020 10:11 am
 Source: Official Guide

If x > y and y > z, which of the following represents the greatest number?

A. x − z
B. x − y
C. y − x
D. z − y
E. z − x

The OA is A
Solution:

Since x > y > z, choices A and B will yield a positive result while choices C, D, and E will yield a negative result. Therefore, the correct answer is either A or B. Now we can let x = 3, y = 2 and z = 1 and check both choices A and B.

A. x - z = 3 - 1 = 2

B. y - z = 2 - 1 = 1

Because 2 > 1, we see that the correct answer is A.

Answer: A

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