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.
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
18 Nov 2021, 03:12
Kudos
Bookmarks
If \(x < y < 0\), which of the following must be true?
\(I. \ |x| > |y|\)
\(II. \ \frac{x}{y} > 1\)
\(III. \ x^y < 0\)
A. \(I\) only
B. \(II\) only
C. \(III\) only
D. \(I\) and \(II\) only
E. \(I\) and \(III\) only
\(I. \ |x| > |y|\)
\(II. \ \frac{x}{y} > 1\)
\(III. \ x^y < 0\)
A. \(I\) only
B. \(II\) only
C. \(III\) only
D. \(I\) and \(II\) only
E. \(I\) and \(III\) only
18 Nov 2021, 03:12
Kudos
Bookmarks
Official Solution:
If \(x < y < 0\), which of the following must be true?
\(I. \ |x| > |y|\)
\(II. \ \frac{x}{y} > 1\)
\(III. \ x^y < 0\)
A. \(I\) only
B. \(II\) only
C. \(III\) only
D. \(I\) and \(II\) only
E. \(I\) and \(III\) only
\(I. \ |x| > |y|\). \(x < y < 0\) means that \(x\) is further from 0 than \(y\), so \(|x| > |y|\). I must be true.
\(II. \ \frac{x}{y} > 1\). Divide \(x < y < 0\) by \(y\) and flip the signs (because \(y\) is negative): \(\frac{x}{y} > 1 > 0\). II must be true.
\(III. \ x^y < 0\). This one is clearly wrong when \(y\) is even, so II is not always true.
Answer: D
If \(x < y < 0\), which of the following must be true?
\(I. \ |x| > |y|\)
\(II. \ \frac{x}{y} > 1\)
\(III. \ x^y < 0\)
A. \(I\) only
B. \(II\) only
C. \(III\) only
D. \(I\) and \(II\) only
E. \(I\) and \(III\) only
\(I. \ |x| > |y|\). \(x < y < 0\) means that \(x\) is further from 0 than \(y\), so \(|x| > |y|\). I must be true.
\(II. \ \frac{x}{y} > 1\). Divide \(x < y < 0\) by \(y\) and flip the signs (because \(y\) is negative): \(\frac{x}{y} > 1 > 0\). II must be true.
\(III. \ x^y < 0\). This one is clearly wrong when \(y\) is even, so II is not always true.
Answer: D
