Events & Promotions
|
|
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.
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
13 Sep 2022, 21:17
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
47% (02:14) correct
53%
(02:05)
wrong
based on 203
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(|x| + x > |y| + y\) ?
(1) \(xy > 0\)
(2) \(x + y < 0\)
(1) \(xy > 0\)
(2) \(x + y < 0\)
|
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!
27 Apr 2023, 13:30
Kudos
Bookmarks
Official Solution:
Is |x| + x > |y| + y ?
(1) \(xy > 0\)
This statement implies that \(x\) and \(y\) have the same sign.
If both are negative, \(|x| = -x\) and \(|y| = -y\), and the question becomes: is \(-x + x > -y + y\)? This further translates to: is \(0 > 0\)? The answer to this question is NO.
If both are positive, \(|x| = x\) and \(|y| = y\), and the question becomes: is \(x + x > y + y\)? This further translates to: is \(x > y\)? The answer to this question can be both YES and NO.
Not sufficient.
(2) \(x + y < 0\)
This statement is clearly insufficient. For instance, consider \(x = 0\) and \(y = -1\) for a NO answer, and \(x = 1\) and \(y = -2\) for a YES answer.
(1)+(2) From (1) we have that \(x\) and \(y\) have the same sign, and from (2) we have that the sum of \(x\) and \(y\) is negative. Hence, both \(x\) and \(y\) must be negative. In (1), we deduced that if both are negative, the question becomes whether \(0 > 0\), the answer to which is NO. Sufficient.
Answer: C
Is |x| + x > |y| + y ?
(1) \(xy > 0\)
This statement implies that \(x\) and \(y\) have the same sign.
If both are negative, \(|x| = -x\) and \(|y| = -y\), and the question becomes: is \(-x + x > -y + y\)? This further translates to: is \(0 > 0\)? The answer to this question is NO.
If both are positive, \(|x| = x\) and \(|y| = y\), and the question becomes: is \(x + x > y + y\)? This further translates to: is \(x > y\)? The answer to this question can be both YES and NO.
Not sufficient.
(2) \(x + y < 0\)
This statement is clearly insufficient. For instance, consider \(x = 0\) and \(y = -1\) for a NO answer, and \(x = 1\) and \(y = -2\) for a YES answer.
(1)+(2) From (1) we have that \(x\) and \(y\) have the same sign, and from (2) we have that the sum of \(x\) and \(y\) is negative. Hence, both \(x\) and \(y\) must be negative. In (1), we deduced that if both are negative, the question becomes whether \(0 > 0\), the answer to which is NO. Sufficient.
Answer: C
General Discussion
13 Sep 2022, 22:34
Kudos
Bookmarks
Used the concept of number line to solve this question.
IMO C
IMO C
Attachments
Screenshot 2022-09-14 110316.png [ 162.81 KiB | Viewed 3383 times ]
