NEW HERE? LEARN MORE
closeclose
It is currently 19 Apr 2024, 09:55
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In the figure above, line segment CZ = 6. What is the length of line

11 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92758
CAT Tests Forum Quiz Mode
In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  06 Jun 2017, 11:23
1
Kudos
27
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

43% (01:58) correct 57% (02:22) wrong based on 302 sessions
Hide Show timer Statistics

In the figure above, line segment CZ = 6. What is the length of line segment AB?

(1) Line segment XY = 4

(2) Line segment AZ > Line segment AY


Show Spoiler
Attachment:
Yaz.png
Yaz.png [ 10.51 KiB | Viewed 6906 times ]
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
request expert reply
Most Helpful Reply
User avatar
S
Leo8
Manager
Manager
Joined: 23 May 2017
Posts: 192
Concentration: Finance, Accounting
WE:Programming (Energy and Utilities)
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  11 Jun 2017, 05:40
10
Kudos
1
Bookmarks
Attachment:
FullSizeRender-2.jpg
FullSizeRender-2.jpg [ 59.63 KiB | Viewed 6273 times ]


IMHO - Its A
General Discussion
avatar
B
chigpt
Intern
Intern
Joined: 01 Apr 2017
Posts: 8
Location: India
Schools: Insead Sept '17 ISB '18 LBS '18 Rutgers '19 Kellogg '19 Ross '19 Haas '19 NUS '20
GPA: 3.25
WE:Engineering (Manufacturing)
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  11 Jun 2017, 05:53
2
Kudos
1
Bookmarks
AB/XY =AZ/AZ+YA.
AB/CZ =AY/AZ+YA
Add both equations
AB=2.4
А is enough to get the answer


Sent from my iPhone using GMAT Club Forum
User avatar
S
mohshu
Senior Manager
Senior Manager
Joined: 21 Mar 2016
Posts: 448
Reviews Badge
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  11 Jun 2017, 05:01
2
Kudos
GMATinsight can u explain the answer
avatar
B
rausan
Intern
Intern
Joined: 15 Feb 2017
Posts: 10
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  25 Jun 2017, 10:07
1
Bookmarks
In any such question we can use the following trick
1/xy +1/cz = 1/AB, if it is right angled triangle as here
so, here cz=6
i.e. 1/xy + 1/6 = 1/AB.
ST1- XY=4 SO WE CAN GET AB.- SUFFICIENT ANS IS(A)
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14815
Location: Pune, India
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  18 Sep 2017, 03:30
1
Kudos
Expert Reply
sinhap07 wrote:
Leo8 wrote:
Attachment:
FullSizeRender-2.jpg


IMHO - Its A


How are you proving the big triangles similar to the small triangles? One big and one small is possible but how about the other two?


Responding to a pm:

We are using the AA property of similarity of triangles. When two angles are the same, the third angle would be the same too since the sum of all three angles of each triangle is 180 degrees. And hence the AAA property of similar triangles is satisfied.

In triangles XYZ and BAZ, angles XYZ and BAZ are 90 degrees each.
Also, angle BZA and angle XZY are the same angle so they will be equal.
So these two triangles are similar by AA.

It is the same logic for triangles CZY and BAY.
Angles CZY and BAY are 90 degrees each.
Also angles CYZ and BYA are the same angles so they will be equal.
So these two triangles are similar by AA.
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5952
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge CAT Tests Forum Quiz Mode
In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  Updated on: 11 Jun 2017, 11:00
Expert Reply
Bunuel wrote:

In the figure above, line segment CZ = 6. What is the length of line segment AB?

(1) Line segment XY = 4

(2) Line segment AZ > Line segment AY


Show Spoiler
Attachment:
Yaz.png


Using similar triangle approach


Answer Option A

Originally posted by GMATinsight on 06 Jun 2017, 23:50.
Last edited by GMATinsight on 11 Jun 2017, 11:00, edited 1 time in total.
avatar
B
sinhap07
Intern
Intern
Joined: 27 Aug 2014
Posts: 47
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  17 Sep 2017, 05:56
Leo8 wrote:
Attachment:
FullSizeRender-2.jpg


IMHO - Its A


How are you proving the big triangles similar to the small triangles? One big and one small is possible but how about the other two?
avatar
B
sinhap07
Intern
Intern
Joined: 27 Aug 2014
Posts: 47
In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  19 Sep 2017, 08:00
VeritasPrepKarishma wrote:
sinhap07 wrote:
Leo8 wrote:
Attachment:
FullSizeRender-2.jpg


IMHO - Its A


How are you proving the big triangles similar to the small triangles? One big and one small is possible but how about the other two?


Responding to a pm:

We are using the AA property of similarity of triangles. When two angles are the same, the third angle would be the same too since the sum of all three angles of each triangle is 180 degrees. And hence the AAA property of similar triangles is satisfied.

In triangles XYZ and BAZ, angles XYZ and BAZ are 90 degrees each.
Also, angle BZA and angle XZY are the same angle so they will be equal.
So these two triangles are similar by AA.

It is the same logic for triangles CZY and BAY.
Angles CZY and BAY are 90 degrees each.
Also angles CYZ and BYA are the same angles so they will be equal.
So these two triangles are similar by AA.


Hi

I get that. But how do we prove the similarity between triangle XYZ and CYZ? Can you pls give the complete solution? How do we even arrive at AB
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14815
Location: Pune, India
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  20 Sep 2017, 02:41
Expert Reply
Why do you think they will be similar? Think about it - one of them could be 30-60-90 triangle while another could be 45-45-90.

Posted from my mobile device
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32543
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink] New post  29 Sep 2023, 04:03
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.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: In the figure above, line segment CZ = 6. What is the length of line [#permalink]
29 Sep 2023, 04:03
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
92758 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions