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

 It is currently 14 Dec 2018, 07:40

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

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

Events & Promotions

Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
• Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

10:00 PM PST

11:00 PM PST

Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.

In the diagram above, rectangle ABCD is intersected by line WZ at poin

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51215
In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

06 Jun 2017, 09:10
1
2
00:00

Difficulty:

95% (hard)

Question Stats:

53% (02:31) correct 47% (02:37) wrong based on 204 sessions

HideShow timer Statistics

In the diagram above, rectangle ABCD is intersected by line WZ at points X and Y. What is the measure of angle ZYB?

(1) Angle CXY + Angle XYB = 270

(2) The measure of angle WXC is equal to the measure of angle AYX.

Attachment:

PolygonXYBDC.png [ 6.41 KiB | Viewed 2144 times ]

_________________
Intern
Joined: 18 Jun 2015
Posts: 49
GMAT 1: 760 Q49 V44
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

07 Jun 2017, 10:35
Statement 1: this does not provide us with any useful information about angles other than those mentioned. Insufficient.

Statement 2: from this we can draw the conclusion that ang AXY = ang AYX (ang AXY is vertically opposite ang WXC, which in turn is equal to ang AYX as stated). This is insufficient to find the MEASURE of the required angle.

Putting the two together, however, we know that:
ang AXY +ang CXY + ang AYX + ang XYB = 360
Where CXY + XYB = 270
Therefore, AYX + AXY = 90 and consequently AYX is 45.

Finally, ZYB = AYX = 45 ( vertically opposite)

I would appreciate a kudos if you like my solution!
Manager
Joined: 23 May 2017
Posts: 241
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

07 Jun 2017, 12:18
2
Attachment:

FullSizeRender (3).jpg [ 52.76 KiB | Viewed 1969 times ]

+ B
_________________

If you like the post, please award me Kudos!! It motivates me

Manager
Joined: 02 Feb 2016
Posts: 89
GMAT 1: 690 Q43 V41
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

15 Jul 2017, 10:14
Why can we not apply the exterior angle formula on angle CXY and angle XYB from the information in statement (1) to get the values for angle AXY and angle AYX?
Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3619
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

20 Jul 2017, 06:21
TheMastermind wrote:
Why can we not apply the exterior angle formula on angle CXY and angle XYB from the information in statement (1) to get the values for angle AXY and angle AYX?

Hi TheMastermind ,

Even if you apply the exterior angle formula on statement 1, you will get

angle CXY = angle A + angle AYX -- (1)

angle XYB = angle A + angle AXY --(2)

I will get,

angle CXY + angle XYB = 270

or 2 * angle A + angle AYX + angle AXY = 270

or angle AYX + angle AXY = 270 - 2 (90)

or angle AYX + angle AXY = 90.

Fine, we already know that the sum of these two angles is 90. So, we didn't find anything special.

Now, you cannot say that each of these angles are equal because we don't know whether we have AX = AY.

Hence, this method will not yield us what we want.

I hope that makes sense.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

Manager
Joined: 02 Feb 2016
Posts: 89
GMAT 1: 690 Q43 V41
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

20 Jul 2017, 14:54
abhimahna wrote:
TheMastermind wrote:
Why can we not apply the exterior angle formula on angle CXY and angle XYB from the information in statement (1) to get the values for angle AXY and angle AYX?

Hi TheMastermind ,

Even if you apply the exterior angle formula on statement 1, you will get

angle CXY = angle A + angle AYX -- (1)

angle XYB = angle A + angle AXY --(2)

I will get,

angle CXY + angle XYB = 270

or 2 * angle A + angle AYX + angle AXY = 270

or angle AYX + angle AXY = 270 - 2 (90)

or angle AYX + angle AXY = 90.

Fine, we already know that the sum of these two angles is 90. So, we didn't find anything special.

Now, you cannot say that each of these angles are equal because we don't know whether we have AX = AY.

Hence, this method will not yield us what we want.

I hope that makes sense.

But the sum of those two angles is equal to 90. Shouldn't that mean that we have an isosceles right angles triangle with sides AX as equal to AY?
Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3619
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

21 Jul 2017, 00:26
1
TheMastermind wrote:
But the sum of those two angles is equal to 90. Shouldn't that mean that we have an isosceles right angles triangle with sides AX as equal to AY?

Hi TheMastermind ,

No, If the sum of other two angles is 90, that doesn't mean the angles are equal to each other and thus the sides are equal.

What if we have one of the two angles as 30 and the other 60? The sum will still be 90 but the triangle is not an isosceles triangle.

Does that makes sense?

Feel free to ask any doubts, if you have any.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

Intern
Joined: 15 Apr 2017
Posts: 42
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

27 Apr 2018, 14:13
1
abhimahna it seems like the OA is incorrect on this one
Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3619
Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin  [#permalink]

Show Tags

30 Jun 2018, 00:05
spatel2 wrote:
abhimahna it seems like the OA is incorrect on this one

Hey spatel2 ,

_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

Re: In the diagram above, rectangle ABCD is intersected by line WZ at poin &nbs [#permalink] 30 Jun 2018, 00:05
Display posts from previous: Sort by