GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 06 Aug 2020, 02:33

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

In the figure above a > b. Is the area of the shaded region greater th

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

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
G
Joined: 31 May 2020
Posts: 204
GMAT ToolKit User
In the figure above a > b. Is the area of the shaded region greater th  [#permalink]

Show Tags

New post 11 Jul 2020, 10:14
2
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

50% (03:04) correct 50% (02:44) wrong based on 22 sessions

HideShow timer Statistics

Attachment:
a.JPG
a.JPG [ 12.48 KiB | Viewed 227 times ]
In the figure above a > b. Is the area of the shaded region greater than half the area of square WXYZ?

(1) \(a^2 + b^2 > 6ab\)

(2) \(a > 6b\)
Manager
Manager
avatar
G
Joined: 31 May 2020
Posts: 204
GMAT ToolKit User
Re: In the figure above a > b. Is the area of the shaded region greater th  [#permalink]

Show Tags

New post 11 Jul 2020, 10:22
Area of square WXYZ = \((a+b)^2\)
Area of shaded regiion = \((a-b)^2\)

To find: \((a-b)^2>\frac{1}{2}*(a+b)^2?= a^2+b^2>6ab?\)

Statement 1: Tells us that a^2+b^2 is greater than 6ab. Sufficient.

Statement 2: a>6b.. Assume a=7b.
Thus, \((7b-b)^2>\frac{1}{2}(7b+b)^2? --> 72b^2>64b^2--> b^2>0?\)
Since, b>0 in the square given, b^2>0.... Sufficient.

Option (D)
GMAT Club Bot
Re: In the figure above a > b. Is the area of the shaded region greater th   [#permalink] 11 Jul 2020, 10:22

In the figure above a > b. Is the area of the shaded region greater th

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





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