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

 It is currently 16 Nov 2018, 17:01

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# What is the area of the shaded region? (1) The difference in radius

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50619

### Show Tags

11 Sep 2018, 02:09
00:00

Difficulty:

(N/A)

Question Stats:

63% (00:37) correct 38% (00:46) wrong based on 8 sessions

### HideShow timer Statistics

What is the area of the shaded region?

(1) The difference in radius between the inner circle and the outer circle is 5.
(2) Angle x is 45°.

Attachment:

image003.jpg [ 4.71 KiB | Viewed 244 times ]

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2700
Location: India
GMAT: INSIGHT
WE: Education (Education)

### Show Tags

11 Sep 2018, 03:23
Bunuel wrote:

What is the area of the shaded region?

(1) The difference in radius between the inner circle and the outer circle is 5.
(2) Angle x is 45°.

Attachment:
image003.jpg

Question: WHat is the area of shaded region?

Shaded area = $$(angle/360)*π(r_1^2 - r_2^2)$$
i.e. We need the angle drawn at the centre by these sectors and $$(r_1^2 - r_2^2)$$

Statement 1: The difference in radius between the inner circle and the outer circle is 5

$$(r_1^2 - r_2^2) = (r_1-r_2)*(r_1+r_2)$$

We only have the difference of the redie but not the sum and neither do we have the angle x drawn at the centre by the sectors hence

NOT SUFFICIENT

Statement 2: Angle x is 45°

we have the angle x drawn at the centre by the sectors but We do NOT have $$(r_1^2 - r_2^2) = (r_1-r_2)*(r_1+r_2)$$ hence

NOT SUFFICIENT

After combining the two statements

We only have the difference of the redie and also the angle drawn by sectors at the centre of the circle but we do NOT have the sum of the radie hence

NOT SUFFICIENT

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

What is the area of the shaded region? (1) The difference in radius &nbs [#permalink] 11 Sep 2018, 03:23
Display posts from previous: Sort by