Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 17 Jul 2019, 02:09

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

On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56267
On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

Show Tags

New post 12 Jul 2017, 23:40
1
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (02:17) correct 30% (02:16) wrong based on 125 sessions

HideShow timer Statistics


Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

Show Tags

New post 13 Jul 2017, 00:56
1
Let WX = a, XY = b, YZ = c
So, we have to find the value of b.

From the diagram given in the question stem, we can deduce the following information :
a+b = 21
b+c = 26
c = 2a

Substituting this value of c in the equation, we will get the following equations
2a + b = 26
a + b = 21
Solving for a = 5.

From this information, we can say b=16(Option D)
_________________
You've got what it takes, but it will take everything you've got
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 731
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

Show Tags

New post 13 Jul 2017, 00:58
Bunuel wrote:
Image
On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is the value of XY?

(A) 5
(B) 10
(C) 11
(D) 16
(E) It cannot be determined from the information given


Attachment:
2017-07-13_1039.png


Let WX = p
So, YZ = 2p
Let xy = q

WY = p+q = 21
XZ = q +2p = 26
Solving from 2 equations above we get p = 5,
q = 16 = XY

Answer D
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3064
On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

Show Tags

New post 13 Jul 2017, 09:31
1
Bunuel wrote:
Image
On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is the value of XY?

(A) 5
(B) 10
(C) 11
(D) 16
(E) It cannot be determined from the information given


Attachment:
2017-07-13_1039.png


Start with the ratio information:

\(\frac{YZ}{WX}\) = \(\frac{2}{1}\). Let WX = x, thus YZ =2x

W__x__X__________________Y____2x____Z

Once written this way, scrutinize XY for a relationship to some given value(s) and for XY's relationship to the other two segments.

XY + YZ = XZ
XY + WX = WY

We have values and variables for all of them except XY. We have WY = 21, XZ = 26, WX = x, and YZ = 2x. Substitute in equations above, then subtract lower from upper.

XY + 2x = 26
XY + x = 21
----->x = 5

We have x = 5. To find XY, just use x = 5 in either equation.

XY + 5 = 21
XY = 16

Answer D
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.


Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Manager
Manager
User avatar
B
Joined: 16 May 2017
Posts: 51
GPA: 3.8
WE: Medicine and Health (Health Care)
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

Show Tags

New post 16 Aug 2018, 12:54
2WX+XY=26
2WX+2XY=42 (Twice of WX+XY=21)
So, XY=16

Answer (D)
GMAT Club Bot
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is   [#permalink] 16 Aug 2018, 12:54
Display posts from previous: Sort by

On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is

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





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