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

It is currently 18 Sep 2018, 22:21

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

If in the figure above XY = YZ, what is the length of XZ?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49231
If in the figure above XY = YZ, what is the length of XZ?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:17
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (00:47) correct 20% (00:47) wrong based on 34 sessions

HideShow timer Statistics

Image
NOTE: Figure not drawn to scale

If in the figure above XY = YZ, what is the length of XZ?


(1) \(XY = 2\sqrt{3}\)

(2) \(XY + YZ= 4\sqrt{3}\)


Attachment:
image009.jpg
image009.jpg [ 3.5 KiB | Viewed 298 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 273
Re: If in the figure above XY = YZ, what is the length of XZ?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:50
Bunuel wrote:
Image
NOTE: Figure not drawn to scale

If in the figure above XY = YZ, what is the length of XZ?


(1) \(XY = 2\sqrt{3}\)

(2) \(XY + YZ= 4\sqrt{3}\)


Attachment:
image009.jpg
St1)
Assume that the figure is restricted now with fixed length of XY and YZ at a fixed angle. So this condition holds true for only one value of side XZ. ( can't increase or decrease under the given restriction)

Sufficient

St2) since xy =yz
It means both have a defined length at a particular angle. We can't stretch XZ with given restriction neither shrink it. No need to calculate the value.

Answer is D

Thank you = Kudos
_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

SC Moderator
User avatar
G
Joined: 30 Jan 2015
Posts: 593
Location: India
Concentration: Operations, Marketing
GPA: 3.5
CAT Tests
Re: If in the figure above XY = YZ, what is the length of XZ?  [#permalink]

Show Tags

New post 29 Aug 2018, 05:20
1
XY = YZ, makes it an isosceles triangle
Angle X = Angle Z = 45
Angle Y = 90
Now the triangle above is isosceles right triangle, we can find XZ by using pythagoras theorem

(1) XY = 2√3
Angle known, alternate side known, apply pythagoras theorem
Sufficient

(2) XY + YZ = 4√3
2XY = 4√3 or 2YZ = 4√3
XY = 2√3 or YZ = 2√3
Angle known, alternate side known, apply pythagoras theorem
Sufficient

Hence, D.
_________________

The few, the fearless !

Thanks :-)

Re: If in the figure above XY = YZ, what is the length of XZ? &nbs [#permalink] 29 Aug 2018, 05:20
Display posts from previous: Sort by

If in the figure above XY = YZ, what is the length of XZ?

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

Events & Promotions

PREV
NEXT


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®.