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

It is currently 23 Feb 2019, 15:25
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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
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.
    GMAT: Verbal | GMAT: Quantitative | Free

  • 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
    GMAT: Verbal | GMAT: Quantitative | Free
CLICK HERE TO HIDE/SHOW EVENTS

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  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

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

Show Tags

New post 16 Oct 2018, 00:25
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

HideShow timer Statistics

Image
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


Spoiler: ::
Attachment:
2018-10-16_1223.png
2018-10-16_1223.png [ 12.46 KiB | Viewed 243 times ]
Spoiler: OA

_________________

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

Director
Director
User avatar
P
Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
Schools: NUS '21, Erasmus '22, NTU '22
WE: Engineering (Energy and Utilities)
Premium Member Reviews Badge CAT Tests
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

Show Tags

New post 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
User avatar
G
Joined: 23 May 2018
Posts: 432
Location: Pakistan
Schools: Booth '21 (D), Duke '21 (WL), Darden '21 (S), McDonough '21 (S), Olin '21 (II), Simon '21 (I)
Premium Member CAT Tests
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

Show Tags

New post 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.

GMAT Club Bot
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha   [#permalink] 16 Oct 2018, 00:40
Print view
First unread post
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  

Moderators: chetan2u, Bunuel, VeritasKarishma, Gladiator59, generis

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions