Logic Question

[Stockmoose16]

What is the answer to this: B or C?

14. If |x| = |y| and |x| = z, which of the following is always true?
A. z = |x| + |y|
B. z = |y|
C. |z| = |y|
D. z = 0
E. z < 0

[malolakrupa]

Answer B

[Stuart@KaplanGMAT]

What is the answer to this: B or C?

14. If |x| = |y| and |x| = z, which of the following is always true?
A. z = |x| + |y|
B. z = |y|
C. |z| = |y|
D. z = 0
E. z < 0

Where is this question from?

We can prove (b) simply by aligning the equations:

z = |x| = |y|

therefore z = |y|

However, (c) also must be true. Since z = |x|, we know that z is either 0 or positive. Therefore, |z| = z, so:

|z| = z = |y|

and

|z| = |y|

Accordingly, both (b) and (c) must be true. So, either the question is wrong or you haven't accurately reproduced it.