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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
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.
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:01) correct
39%
(01:00)
wrong
based on 1082
sessions
History
Date
Time
Result
Not Attempted Yet
If \(w\neq{0}\), which of the following must be true?
I. \(\frac{|w|}{w} = 1\)
II. \(\frac{w^{2}}{|w|} = w\)
III. \(\sqrt{w^2} = |w|\)
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
I. \(\frac{|w|}{w} = 1\)
II. \(\frac{w^{2}}{|w|} = w\)
III. \(\sqrt{w^2} = |w|\)
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
26 Feb 2024, 21:16
Kudos
Bookmarks
egobappe
I. \(\frac{|w|}{w} = 1\)
When \(w < 0\), \(\frac{|w|}{w}\) = -1.
Example, w = -5
|w| = 5
\(\frac{|-5|}{-5} = \frac{5}{-5} = -1\)
Hence, this statement is not always true.
II. \(\frac{w^{2}}{|w|} = w\)
When \(w < 0\), \(\frac{w^{2}}{|w|}\) = -w.
Example, w = -5
|w| = 5
\(\frac{w^{2}}{|w|} = \frac{25}{5} = 5 = -(-5)\)
Hence, this statement is not always true.
III. \(\sqrt{w^2} = |w|\)
For all values of w, \(\sqrt{w^2} = |w|\). Hence, this statement is always true.
Option B
General Discussion
28 Feb 2024, 22:44
Kudos
Bookmarks
egobappe
Asked: If \(w\neq{0}\), which of the following must be true?
I. \(\frac{|w|}{w} = 1\)
If w>0; |w| = w; \(\frac{|w|}{w} = 1\)
But if w<0; |w| = -w; \(\frac{|w|}{w} = -1\)
COULD BE TRUE
II. \(\frac{w^{2}}{|w|} = w\)
If w>0; |w| = w; \(\frac{|w|ˆ2}{|w|} = |w| = w\)
But if w<0; |w| = -w; \(\frac{|w|ˆ2}{|w|} = |w| = -w\)
COULD BE TRUE
III. \(\sqrt{w^2} = |w|\)
\(\sqrt{w^2} = |w|\) is always true
MUST BE TRUE
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
IMO B
Asked: If \(w\neq{0}\), which of the following must be true?
I. \(\frac{|w|}{w} = 1\)
If w>0; |w| = w; \(\frac{|w|}{w} = 1\)
But if w<0; |w| = -w; \(\frac{|w|}{w} = -1\)
COULD BE TRUE
II. \(\frac{w^{2}}{|w|} = w\)
If w>0; |w| = w; \(\frac{|w|ˆ2}{|w|} = |w| = w\)
But if w<0; |w| = -w; \(\frac{|w|ˆ2}{|w|} = |w| = -w\)
COULD BE TRUE
III. \(\sqrt{w^2} = |w|\)
\(\sqrt{w^2} = |w|\) is always true
MUST BE TRUE
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
IMO B
