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

It is currently 24 May 2019, 22:58

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

What fraction of the square region in the figure above is shaded?

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

Hide Tags

 
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 740
What fraction of the square region in the figure above is shaded?  [#permalink]

Show Tags

New post Updated on: 27 Feb 2018, 10:41
1
8
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (00:58) correct 37% (00:55) wrong based on 211 sessions

HideShow timer Statistics

Image

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.


What's the equation for statement 2?
Attachment:
Square.png
Square.png [ 16.99 KiB | Viewed 15743 times ]

Originally posted by fozzzy on 06 Jul 2013, 02:48.
Last edited by Bunuel on 27 Feb 2018, 10:41, edited 2 times in total.
Edited the question.
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1051
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
GMAT ToolKit User
Re: What fraction of the square region in the figure above is shaded?  [#permalink]

Show Tags

New post 06 Jul 2013, 02:58
2
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]
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55271
What fraction of the square region in the figure above is sh  [#permalink]

Show Tags

New post 06 Jul 2013, 03:01
3
1
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:

Image

The shaded region is 1-1/4-1/8=5/8. Sufficient.

Answer: B.

Hope it's clear.

Attachment:
Square 2.png
Square 2.png [ 17.09 KiB | Viewed 13315 times ]

_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55271
Re: What fraction of the square region in the figure above is shaded?  [#permalink]

Show Tags

New post 06 Mar 2014, 02:37
Manager
Manager
avatar
Joined: 01 May 2013
Posts: 61
Re: What fraction of the square region in the figure above is shaded?  [#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.
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 372
Re: What fraction of the square region in the figure above is shaded?  [#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)]
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11012
Re: What fraction of the square region in the figure above is shaded?  [#permalink]

Show Tags

New post 01 Mar 2019, 10:19
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 Club Bot
Re: What fraction of the square region in the figure above is shaded?   [#permalink] 01 Mar 2019, 10:19
Display posts from previous: Sort by

What fraction of the square region in the figure above is shaded?

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


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®.