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

 It is currently 23 Feb 2019, 15:25

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# In square PQRS above, if ST = TQ and SU = RU, then the area of the sha

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

### Show Tags

16 Oct 2018, 00:25
00:00

Difficulty:

15% (low)

Question Stats:

94% (00:47) correct 6% (00:37) wrong based on 20 sessions

### HideShow timer Statistics

In square PQRS above, if ST = TQ and SU = RU, then the area of the shaded region is what fraction of the area of square region PQRS?

(A) 1/16
(B) 1/8
(C) 1/6
(D) 1/4
(E) 1/3

Attachment:

2018-10-16_1223.png [ 12.46 KiB | Viewed 243 times ]

_________________
Director
Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

### Show Tags

16 Oct 2018, 00:30
Since SQ is the diagonal of the square PQRS. Area of triangle SRQ will be half of PQRS. Now Triangle TUR is 1/4 of the area of SRQ. Hence the triangle TUR will be 1/8 of the area of the triangle PQRS.

B is the answer.
_________________

Press +1 Kudo If my post helps!

BSchool Forum Moderator
Joined: 23 May 2018
Posts: 432
Location: Pakistan
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

### Show Tags

16 Oct 2018, 00:40
1
ST=TQ tells us that T is the center of the square.
SU=RU tells us that U is the midpoint of SR.

This translates to TUR being $$\frac{1}{2}$$ of TSR
TSR is $$\frac{1}{2}$$ of SQR

SQR is half your square.

There can be 8 equal segments of area TUR in the square, therefore TUR is $$\frac{1}{8}$$ the area of the square.
_________________

If you can dream it, you can do it.

Practice makes you perfect.

Kudos are appreciated.

Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha   [#permalink] 16 Oct 2018, 00:40
Display posts from previous: Sort by

# In square PQRS above, if ST = TQ and SU = RU, then the area of the sha

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

 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®.