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

 It is currently 11 Dec 2018, 11:21

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# One large circle and two identical smaller circles are inscribed insid

Author Message
Manager
Joined: 01 May 2016
Posts: 82
Location: United States
GPA: 3.8
One large circle and two identical smaller circles are inscribed insid  [#permalink]

### Show Tags

21 Feb 2018, 01:57
3
00:00

Difficulty:

95% (hard)

Question Stats:

41% (01:55) correct 59% (01:55) wrong based on 32 sessions

### HideShow timer Statistics

Attachment:

11.png [ 8.43 KiB | Viewed 362 times ]

One large circle and two identical smaller circles are inscribed inside a rectangle as shown above. A and B are the points of intersection of the long side of the rectangle and the large and small circles (respectively.) If the short side of the rectangle is 8, what is AB?

a 4

b 2√5

c 4√2

d 6

e 2√10

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

TD

Math Expert
Joined: 02 Aug 2009
Posts: 7099
One large circle and two identical smaller circles are inscribed insid  [#permalink]

### Show Tags

21 Feb 2018, 08:41
2
Tridhipal wrote:
Attachment:
The attachment 11.png is no longer available

One large circle and two identical smaller circles are inscribed inside a rectangle as shown above. A and B are the points of intersection of the long side of the rectangle and the large and small circles (respectively.) If the short side of the rectangle is 8, what is AB?

a 4

b 2√5

c 4√2

d 6

e 2√10

Hi...
What can you make out of the RADIUS..
The larger circle's radius is twice of smaller one's..
Larger one =$$\frac{8}{2}=4$$ and smaller one is 2..

Now join the centre of larger and the smaller one as shown
This line will be = sum of radius = 4+2=6

Now draw a line PARALLEL to AB and bisecting the radius drawn from A at D..
Now you have a right angle triangle whose hypotenuse is 6 and one side is 4-2=2
Third side, CD, which will also be equal to AB = $$√(6^2-2^2)=√32=4√2$$

C

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Attachments

11.png [ 11.71 KiB | Viewed 297 times ]

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

One large circle and two identical smaller circles are inscribed insid &nbs [#permalink] 21 Feb 2018, 08:41
Display posts from previous: Sort by