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 29Best GMAT Focus Preparation Courses - How to Choose the Effective GMAT Prep Products
12:00 PM PST
-01:00 PM PST
Join us for an exclusive showcase featuring a panel of leading GMAT test prep companies, where they unveil the essential products designed to elevate your scores to new heights.
Nov 22Black Friday savings are here
01:00 PM EST
-11:59 PM EST
Save 25% on Manhattan Prep's GMAT, GRE, and Executive Assessment courses and products. Don't miss the best time to buy! Get this offer now. Hurry, offer ends November 30th.- Nov 28
MBA Spotlight Fair
05:00 AM PST
-06:00 PM PST
Meet admissions teams of ALL TOP 30 MBA programs, including HBS, Stanford, and Wharton, at MBA Spotlight, GMAT Club’s virtual MBA fair, on November 28 & 29! 
Nov 30Get 20% Off! Biggest GMAT Sale of the Year
12:00 PM EST
-11:59 PM EST
Grab 20% off any Target Test Prep GMAT plan during our Black Friday sale. Just enter the coupon code BLACKFRIDAY20 at checkout to save up to $320.
Nov 30TTP student Giorgio scored 735 on the GMAT Focus Edition
01:00 PM EST
-03:00 PM EST
Join Giorgio and many other students who have used Target Test Prep to score high on the GMAT Focus Edition. Start your 5-day trial of the TTP GMAT Course today for FREE.
Dec 02Exclusive GMAT Strategy Webinar
07:30 PM IST
-09:30 PM IST
In this webinar, Rajat Sadana, GMAT Club’s #1 rated expert will help you create a personalized study plan so that each one of you can visualize your journey to a top GMAT Focus Score.- Dec 03
Conquer Algebra on the Current GMAT and GMAT Focus
07:30 PM IST
-09:30 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 05Developing Your EMBA Application Strategy
01:00 PM EST
-02:00 PM EST
Wondering if an Executive MBA is right for you? Looking for help selecting the ideal program and developing compelling applications? Watch Personal MBA Coach's webinar recording to get insider tips from a former M7 Admissions Director....
If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
Updated on: 01 May 2020, 10:18
Updated on: 01 May 2020, 10:18
3
Kudos
10
Bookmarks
Show timer
00:00
A
B
C
D
E
Difficulty:
5%
(low)
Question Stats:
93% (00:51) correct
7%
(01:32)
wrong
based on 1056
sessions
Hide Show timer Statistics
If z ≠ 0 and \(z + \frac{1 - 2z^2}{z} =\frac{ w}{z}\), then\( w = \)
A. \(z + 1 \)
B. \(z^2 + 1\)
C. \(-z^2 + 1\)
D. \(-z^2 + z + 1\)
E. \(-2z^2 + 1\)
PS14031.02
A. \(z + 1 \)
B. \(z^2 + 1\)
C. \(-z^2 + 1\)
D. \(-z^2 + z + 1\)
E. \(-2z^2 + 1\)
PS14031.02
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
20 Apr 2020, 10:28
20 Apr 2020, 10:28
1
Kudos
1
Bookmarks
Expert Reply
gmatt1476 wrote:
If z ≠ 0 and \(z + \frac{1 - 2z^2}{z} = w/z\), then w =
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
\(z + \frac{1 - 2z^2}{z} = w/z\)
=> \(z(z + \frac{1 - 2z^2}{z}) = w\)
=> \(w = z^2 + (1 - 2z^2)\)
=> \(w = 1 - z^2\)
Answer C
_________________
Sujoy Kr Datta | GMAT Q51 | CAT 99.99 | Mentor & Coach
Personalized Private Tutoring | IIT (Indian Institute of Technology) alumnus
Free GMAT mini Diagnostic | Connect on LinkedIn
Ask me anything about the GMAT Quant
Whats-App: +919433063089
Personalized Private Tutoring | IIT (Indian Institute of Technology) alumnus
Free GMAT mini Diagnostic | Connect on LinkedIn
Ask me anything about the GMAT Quant
Whats-App: +919433063089
General Discussion
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
28 Apr 2020, 07:38
28 Apr 2020, 07:38
1
Kudos
1
Bookmarks
Expert Reply
Top Contributor
gmatt1476 wrote:
If z ≠ 0 and \(z + \frac{1 - 2z^2}{z} = \frac{w}{z}\), then \(w =\)
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
Given: \(z + \frac{1 - 2z^2}{z} = \frac{w}{z}\)
Eliminate the fractions, multiply both sides of the equation by \(z\) to get: \(z^2 + (1 - 2z^2) = w\)
Simplify to get: \(1 - z^2 = w\)
Rewrite as: \(-z^2 + 1= w\)
Answer: C
Cheers,
Brent
If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
29 May 2020, 09:46
29 May 2020, 09:46
1
Kudos
Assume any value of z
Let z=1
=> w = 0
Now check where w= 0 for z=1 in the option
(a) w=2
(b) w=2
(C) w= 0.
(D) w=1
(e) w= -1
Therefore, (c) is the correct option.
Posted from my mobile device
Let z=1
=> w = 0
Now check where w= 0 for z=1 in the option
(a) w=2
(b) w=2
(C) w= 0.
(D) w=1
(e) w= -1
Therefore, (c) is the correct option.
Posted from my mobile device
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
30 May 2020, 05:12
30 May 2020, 05:12
(z^2 + 1-2z^2)/z = w/z
z^2 + 1 -2z^2 = w
1 - z^2 = w
Option C
If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
06 Jul 2020, 12:23
06 Jul 2020, 12:23
\(z + \frac{(1 - 2z^2)}{z} = \frac{w}{z}\)
\(w=z^2+1-2z^\)
\(w=1-z^2\)
Answer C
\(w=z^2+1-2z^\)
\(w=1-z^2\)
Answer C
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4950
Location: India
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
11 Feb 2021, 06:59
11 Feb 2021, 06:59
1
Kudos
Top Contributor
SOLUTION:
z+ (1−2z^2/z) = w/z
=> (z^2 + 1-2z^2 )/z = w/z
Cancel out the "w" in the denominators, add the terms in the numerator of the LHS and arrive at
1- z^2 = w (OPTION C)
Hope this helps
Devmitra Sen(Math)
z+ (1−2z^2/z) = w/z
=> (z^2 + 1-2z^2 )/z = w/z
Cancel out the "w" in the denominators, add the terms in the numerator of the LHS and arrive at
1- z^2 = w (OPTION C)
Hope this helps
Devmitra Sen(Math)
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
19 Mar 2021, 11:25
19 Mar 2021, 11:25
sujoykrdatta wrote:
gmatt1476 wrote:
If z ≠ 0 and \(z + \frac{1 - 2z^2}{z} = w/z\), then w =
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
\(z + \frac{1 - 2z^2}{z} = w/z\)
=> \(z(z + \frac{1 - 2z^2}{z}) = w\)
=> \(w = z^2 + (1 - 2z^2)\)
=> \(w = 1 - z^2\)
Answer C
sujoykrdatta
Could you please break down the following for me: => \(w = z^2 + (1 - 2z^2)\)
=> \(w = 1 - z^2\)
This step is unclear.. Why did the Z^2 disappear?
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
19 Mar 2021, 11:31
19 Mar 2021, 11:31
Expert Reply
Neghineh wrote:
sujoykrdatta wrote:
gmatt1476 wrote:
If z ≠ 0 and \(z + \frac{1 - 2z^2}{z} = w/z\), then w =
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
A. z + 1
B. z^2 + 1
C. -z^2 + 1
D. -z^2 + z + 1
E. -2z^2 + 1
PS14031.02
\(z + \frac{1 - 2z^2}{z} = w/z\)
=> \(z(z + \frac{1 - 2z^2}{z}) = w\)
=> \(w = z^2 + (1 - 2z^2)\)
=> \(w = 1 - z^2\)
Answer C
sujoykrdatta
Could you please break down the following for me: => \(w = z^2 + (1 - 2z^2)\)
=> \(w = 1 - z^2\)
This step is unclear.. Why did the Z^2 disappear?
You are adding the terms z² and -2z² to get the result -z². The '1' remains as it is.
Posted from my mobile device
_________________
Sujoy Kr Datta | GMAT Q51 | CAT 99.99 | Mentor & Coach
Personalized Private Tutoring | IIT (Indian Institute of Technology) alumnus
Free GMAT mini Diagnostic | Connect on LinkedIn
Ask me anything about the GMAT Quant
Whats-App: +919433063089
Personalized Private Tutoring | IIT (Indian Institute of Technology) alumnus
Free GMAT mini Diagnostic | Connect on LinkedIn
Ask me anything about the GMAT Quant
Whats-App: +919433063089
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5881
Location: India
GMAT: QUANT EXPERT
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: If z ≠ 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
15 May 2021, 03:18
15 May 2021, 03:18
Expert Reply
gmatt1476 wrote:
If z ≠ 0 and \(z + \frac{1 - 2z^2}{z} =\frac{ w}{z}\), then\( w = \)
A. \(z + 1 \)
B. \(z^2 + 1\)
C. \(-z^2 + 1\)
D. \(-z^2 + z + 1\)
E. \(-2z^2 + 1\)
PS14031.02
A. \(z + 1 \)
B. \(z^2 + 1\)
C. \(-z^2 + 1\)
D. \(-z^2 + z + 1\)
E. \(-2z^2 + 1\)
PS14031.02
Wanna make solving the Official Questions interesting???
Click here and solve 1000+ Official Questions with Video solutions as Timed Sectional Tests
and Dedicated Data Sufficiency (DS) Course
Answer: Option C
Video solution by GMATinsight
Get TOPICWISE: Concept Videos | Practice Qns 100+ | Official Qns 50+ | 100% Video solution CLICK HERE.
Two MUST join YouTube channels : GMATinsight (1000+ FREE Videos) and GMATclub
Re: If z 0 and z + (1 - 2z^2)/z = w/z, then w =
[#permalink]
14 Jul 2022, 06:13
14 Jul 2022, 06:13
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
gmatclubot
Re: If z 0 and z + (1 - 2z^2)/z = w/z, then w = [#permalink]
14 Jul 2022, 06:13
Moderators:
|
|
||
Hi Guest,
Here are updates for you:
ANNOUNCEMENTS Monday, Nov 27, 10:30am NY; 3:30pm London; 9pm Mumbai ✅ Learn to ace Strengthen and Weaken CR questions on GMAT Focus Critical Reasoning. ✅ Subscribe to us on YouTube AND Get FREE Access to Premium GMAT Question Bank for 7 Days
AGSM at UNIVERSITY OF CALIFORNIA RIVERSIDE
Tuck at Dartmouth
Sian Leah Beilock Inaugurated as Dartmouth’s 19th President
Beilock, the first woman to lead Dartmouth, outlined five areas of focus that aim to expand the impact of Dartmouth’s mission: a holistic approach to mental health and wellness; the cultivation of brave spaces that foster dialogue across difference... Read More
Veterans at Yale SOM
|
