|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
18 Nov 2022, 10:56
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (01:47) correct
41%
(01:49)
wrong
based on 135
sessions
History
Date
Time
Result
Not Attempted Yet
Is |x - y| > |x - z| ?
(1) |y| > |z|
(1) x > 0
(1) |y| > |z|
(1) x > 0
|
Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
18 Nov 2022, 12:07
Kudos
Bookmarks
Bunuel
Statement One Alone:
\(\Rightarrow\) |y| > |z|
If x = 1, y = 3, and z = 2, then |x - y| = 2, and |x - z| = 1. In this case, the answer is yes.
If x = 1, y = 3, and z = -2, then |x - y| = 2, and |x - z| = 3. In this case, the answer is no.
Since we have a yes and a no answer, statement one alone is not sufficient.
Eliminate answer choices A and D.
Statement Two Alone:
\(\Rightarrow\) x > 0
Without any information about y and z, we cannot determine the answer to the question. Statement two alone is not sufficient.
Eliminate answer choice B.
Statements One and Two Alone:
In the analysis of statement one alone, the examples of x = 1, y = 3, z = 2, and x = 1, y = 3, z = -2 both satisfy |y| > |z| and x > 0, so we can use the same two examples to demonstrate that statements one and two together are not sufficient.
Answer: E
18 Nov 2022, 12:53
Kudos
Bookmarks
Bunuel
Question: Is |x - y| > |x - z| ?
Inference: Is the distance between x and y greater than the distance between x and z
Statement 1
(1) |y| > |z|
Inference : The distance of y from 0 is greater than the distance of z from 0.
We do not know the position of x. All we know is y lies farther away from 0 than z does.
So this statement is not sufficient and we can eliminate A and D.
Statement 2
(2) x > 0
Inference : x lies to the right of 0 on a number line.
We don't have any information on the position of y and z.
So this statement is not sufficient and we can eliminate B.
Combined
The statements combined do not help. We know the distances of y and z with respect to 0, and we know that x lies to the right of 0 but we still have no information on the relative position of x, y and z with respect to each other.
Ex.
-------z-------0-------x-----------------------------------y------- : x is farther away from y that it is from z.
-------z-------0---------------------------------------x---y------- : x is farther away from z that it is from y.
Hence Option E
