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

It is currently 13 Oct 2019, 18:30
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
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

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
CAT Tests
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, 01:25
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 341 times ]
Spoiler: OA

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1028
Location: India
Concentration: Finance, Marketing
Schools: Cambridge "21, ISB '21, NUS '21, Erasmus '21
WE: Engineering (Energy and Utilities)
Reviews Badge
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, 01:30
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 Kudos If my post helps!
Signature Read More
BSchool Forum Moderator
User avatar
G
Joined: 23 May 2018
Posts: 524
Location: Pakistan
Schools: Stern '22, McCombs '22 (S), McDonough '21 (A), Boston U '22, Simon '22
Premium Member
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, 01:40
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.
Signature Read More
GMAT Club Bot
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha   [#permalink] 16 Oct 2018, 01:40
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:





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

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