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

It is currently 18 Oct 2018, 09:12

Booth R1 Calls in Progress:

Join us in the chat | track the decision tracker | See forum posts/summary


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

In the figure above, is XW = XZ? (1) The area of triangular region ZX

  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: 50000
In the figure above, is XW = XZ? (1) The area of triangular region ZX  [#permalink]

Show Tags

New post 17 Sep 2018, 22:18
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

41% (01:48) correct 59% (01:57) wrong based on 34 sessions

HideShow timer Statistics

Image
In the figure above, is XW = XZ?

(1) The area of triangular region ZXY is equal to the area of triangular region WXZ.
(2) Angle XZW is equal in measure to angle XZY.


Attachment:
image001.jpg
image001.jpg [ 3.18 KiB | Viewed 255 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

Intern
Intern
avatar
B
Joined: 18 Aug 2017
Posts: 46
Concentration: Healthcare, Marketing
CAT Tests
Re: In the figure above, is XW = XZ? (1) The area of triangular region ZX  [#permalink]

Show Tags

New post 17 Sep 2018, 22:37
In the figure above, is XW = XZ?

(1) The area of triangular region ZXY is equal to the area of triangular region WXZ.
(2) Angle XZW is equal in measure to angle XZY.

From stmnt 1: we can say that zy equals wz since area of triangle 1/2 * base * height so both values of base must be equal to get same area.

from stmnt 2: angle xzw = angle xzy means it is perpendicular bisector and each angle measures 45 *.

Combining both stmnts we can deduce that wz=zy and xz is common so sides xw=xy.

IMO C should be right..
Manager
Manager
avatar
B
Joined: 06 Aug 2017
Posts: 88
GMAT 1: 570 Q50 V18
GMAT 2: 610 Q49 V24
GMAT 3: 640 Q48 V29
Re: In the figure above, is XW = XZ? (1) The area of triangular region ZX  [#permalink]

Show Tags

New post 17 Sep 2018, 23:00
archish3113 wrote:
In the figure above, is XW = XZ?

(1) The area of triangular region ZXY is equal to the area of triangular region WXZ.
(2) Angle XZW is equal in measure to angle XZY.

From stmnt 1: we can say that zy equals wz since area of triangle 1/2 * base * height so both values of base must be equal to get same area.

from stmnt 2: angle xzw = angle xzy means it is perpendicular bisector and each angle measures 45 *.

Combining both stmnts we can deduce that wz=zy and xz is common so sides xw=xy.

IMO C should be right..


Hi archish3113,

Can you explain a bit more as to how each angle measure is 45* as you mentioned in "angle xzw = angle xzy means it is perpendicular bisector and each angle measures 45 *".

Also, when you say "we can deduce that wz=zy and xz is common so sides xw=xy", you are proving that xw=xy, however question is asking whether XW = XZ.
_________________

-------------------------------------------------------------------------------
Kudos are the only way to tell whether my post is useful.

GMAT PREP 1: Q50 V34 - 700

Veritas Test 1: Q43 V34 - 630
Veritas Test 2: Q46 V30 - 620
Veritas Test 3: Q45 V29 - 610
Veritas Test 4: Q49 V30 - 650

GMAT PREP 2: Q50 V34 - 700

Veritas Test 5: Q47 V33 - 650
Veritas Test 5: Q46 V33 - 650

GMAT Club Bot
Re: In the figure above, is XW = XZ? (1) The area of triangular region ZX &nbs [#permalink] 17 Sep 2018, 23:00
Display posts from previous: Sort by

In the figure above, is XW = XZ? (1) The area of triangular region ZX

  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®.