It is currently 22 Jun 2017, 15:50

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What fraction of the square region in the figure above is sh

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

Hide Tags

1 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 878
What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 06 Jul 2013, 02:48
1
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

57% (01:34) correct 43% (00:29) wrong based on 213 sessions

HideShow timer Statistics

Attachment:
Square.png
Square.png [ 16.99 KiB | Viewed 6723 times ]
What fraction of the square region in the figure above is shaded?

(1) The area of the square region is 36
(2) P and Q are midpoints of two sides of the square as shown.


[Reveal] Spoiler:
What's the equation for statement 2?
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html


Last edited by Bunuel on 06 Jul 2013, 02:52, edited 1 time in total.
Edited the question.
2 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1122
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
GMAT ToolKit User
Re: What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 06 Jul 2013, 02:58
2
This post received
KUDOS
fozzzy wrote:
What's the equation for statement 2?


Consider a side of length 2: \(Area=4\); the midpoint divide each side into two segments of length 1.

Triangle pqLeft point has an Area of \(\frac{1}{2}\), the other not shaded triangle (the one to the right of Q) has an area of \(1\).

Shaded Area\(=4-1-0.5=2.5\) => fraction \(\frac{2.5}{4}\)
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Expert Post
2 KUDOS received
Math Expert
User avatar
D
Joined: 02 Sep 2009
Posts: 39589
Re: What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 06 Jul 2013, 03:01
2
This post received
KUDOS
Expert's post
Image
What fraction of the square region in the figure above is shaded?

(1) The area of the square region is 36. We don't know positions of P and Q. Not sufficient.

(2) P and Q are midpoints of two sides of the square as shown. Look at the diagram below:
Attachment:
Square 2.png
Square 2.png [ 17.09 KiB | Viewed 5403 times ]
The shaded region is 1-1/4-1/8=5/8. Sufficient.

Answer: B.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: 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

Expert Post
Math Expert
User avatar
D
Joined: 02 Sep 2009
Posts: 39589
Re: What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 06 Mar 2014, 02:37
Manager
Manager
avatar
Joined: 01 May 2013
Posts: 62
Re: What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 09 Mar 2014, 09:39
Because this is a square, we know the white shapes must be right triangles. If we can figure out what fraction of the square they occupy, we can find the requested area by subtracting this fraction from 1. What are the dimensions of the legs of each triangle?

Statement 1 gives us no information about the dimensions of the triangles. Insufficient.

Statement 2 tells us that the smaller triangle is 45-45-90 with each leg equal to s/2 (where s is the side of the square). We also know that the larger triangle has legs s and s/2. We can solve for each area in terms of s. We can therefore directly compare the are of the triangles to the area of the square. Sufficient.

The answer is B.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15916
Premium Member
Re: What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 17 Apr 2016, 06:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 409
Re: What fraction of the square region in the figure above is sh [#permalink]

Show Tags

New post 20 Sep 2016, 12:40
B is correct. Here's why:

(1) The area of the square region is 36 - INSUFFICIENT - we don't know whether P and Q are midpoints to calculate area of shaded region relative to whole

(2) P and Q are midpoints of two sides of the square as shown - SUFFICIENT - from this we can say each side it s (therefore each midpoint is 1/2 s) --> shaded area will be s^2 - [(1/2)(1/2 s)(1/2 s)+((1/2)(1/2 s)(s)]
Re: What fraction of the square region in the figure above is sh   [#permalink] 20 Sep 2016, 12:40
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic In the figure above, a circle is inscribed in square WXYZ. What is the Bunuel 1 06 Jun 2017, 17:36
2 Experts publish their posts in the topic In the figure above, what is the area of the shaded region? Bunuel 8 15 Mar 2017, 02:51
5 Experts publish their posts in the topic In the figure above, a circle is inscribed in square ABCD. What is the Bunuel 7 23 Nov 2016, 02:46
10 Experts publish their posts in the topic In the figure above, a circle is inscribed in a square. What is the ar Bunuel 13 31 Aug 2015, 07:20
2 Experts publish their posts in the topic In the figure above, what is the area of the circular region with cent Bunuel 6 05 Aug 2016, 15:11
Display posts from previous: Sort by

What fraction of the square region in the figure above is sh

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.