GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Feb 2019, 03:57

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6978
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y  [#permalink]

Show Tags

New post 01 Feb 2019, 01:52
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (02:04) correct 44% (02:26) wrong based on 34 sessions

HideShow timer Statistics

[GMAT math practice question]

If \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\), then what is the value of \(y + z\)?

\(A. 0\)
\(B. 3\)
\(C. -3\)
\(D. 5\)
\(E. -5\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

VP
VP
avatar
G
Joined: 09 Mar 2018
Posts: 1001
Location: India
Re: If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y  [#permalink]

Show Tags

New post 01 Feb 2019, 02:13
MathRevolution wrote:
[GMAT math practice question]

If \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\), then what is the value of \(y + z\)?

\(A. 0\)
\(B. 3\)
\(C. -3\)
\(D. 5\)
\(E. -5\)


If \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\)
Both the expressions cannot be -ive, so we can think of plugging in some values for x, y and z

x = 4 y = 2 & z = -7 will satisfy the expression

y + z = -7 + 2
E
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Senior Manager
Senior Manager
avatar
S
Joined: 04 Aug 2010
Posts: 351
Schools: Dartmouth College
Re: If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y  [#permalink]

Show Tags

New post 01 Feb 2019, 04:34
MathRevolution wrote:
[GMAT math practice question]

If \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\), then what is the value of \(y + z\)?

\(A. 0\)
\(B. 3\)
\(C. -3\)
\(D. 5\)
\(E. -5\)


Let x=0.
Plugging x=0 into \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\), we get:
(-y-2)² + (z+3)² = 0

Since neither (-y-2)² nor (z+3)² can be negative, the resulting equation is valid only if -y-2=0 and z+3=0, with the result that y=-2 and z=-3.
Thus, y+z = -2 + (-3) = -5


_________________

GMAT and GRE Tutor
Over 1800 followers
Click here to learn more
GMATGuruNY@gmail.com
New York, NY
If you find one of my posts helpful, please take a moment to click on the "Kudos" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

GMATH Teacher
User avatar
G
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 763
Re: If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y  [#permalink]

Show Tags

New post 01 Feb 2019, 05:22
MathRevolution wrote:
[GMAT math practice question]

If \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\), then what is the value of \(y + z\)?

\(A. 0\)
\(B. 3\)
\(C. -3\)
\(D. 5\)
\(E. -5\)

\({\left( {x - y - 2} \right)^2} + {\left( {x + z + 3} \right)^2} = 0\,\,\,\,\,\left( * \right)\)

\(? = y + z\)

\(\left. \matrix{
{\left( {x + z + 3} \right)^2} \ge 0 \hfill \cr
{\left( {x - y - 2} \right)^2} \ge 0\,\,\, \hfill \cr} \right\}\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,\left\{ \matrix{
\,x + z + 3 = 0 \hfill \cr
\,x - y - 2 = 0 \hfill \cr} \right.\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( - \right)} \,\,\,\,\,\,\,z - \left( { - y} \right) + 3 - \left( { - 2} \right) = 0\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,? = - 5\)


The correct answer is therefore (E).


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net

Senior Manager
Senior Manager
avatar
G
Joined: 27 Dec 2016
Posts: 292
CAT Tests
Re: If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y  [#permalink]

Show Tags

New post 01 Feb 2019, 18:54
1
60 seconds approach:

We know something square + something square must equal 0 and the only to do this is if our equation becomes 0+0 = 0. To make each of the parentheses 0, let's number test the following numbers: x=4, y=2, z=-7. Our equation becomes 0+0=0.

Y+Z = 2+(-7) = -5.

Hence option E
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6978
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y  [#permalink]

Show Tags

New post 04 Feb 2019, 04:42
=>
Since \(( x – y – 2 )^2 + ( x + z + 3 )^2 = 0\), we must have \(x – y – 2 = 0\) and \(x + z + 3 = 0.\)
So, \(x = y + 2\) and \(x + z + 3 = ( y + 2 ) + z + 3 = y + z + 5 = 0.\)
Thus, \(y + z = -5.\)

Therefore, the answer is E.
Answer: E
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

GMAT Club Bot
Re: If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y   [#permalink] 04 Feb 2019, 04:42
Display posts from previous: Sort by

If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.