It is currently 27 Oct 2020, 04:36
My Tests

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.

In the figure above, each of the four large circles is

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13693
GRE 1: Q160 V160
Followers: 305

Kudos [?]: 3543 [0], given: 12654

CAT Tests
In the figure above, each of the four large circles is [#permalink] New post 01 Oct 2020, 00:51
Expert's post
00:00

Question Stats:

47% (01:52) correct 52% (01:53) wrong based on 17 sessions
Attachment:
GRE In the figure above, each of the four large circles.png
GRE In the figure above, each of the four large circles.png [ 11.14 KiB | Viewed 326 times ]


In the figure above, each of the four large circles is tangent to two of the other large circles, the small circle, and two sides of the square. If the radius of each of the large circles is 4, what is the diameter of the small circle?

A. \(\sqrt{2}\)

B. \(1\)

C. \(8 \sqrt{2} - 8\)

D. \(4 \sqrt{2} - 4\)

E. \(\sqrt{2} - 1\)
[Reveal] Spoiler: OA

_________________

- Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page
- Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020)
- Do you want all the FREE GRE tests on earth ?? Look at FREE GRE Practice Tests [Collection] - New Edition (2021)
- Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.
- Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos
- GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13693
GRE 1: Q160 V160
Followers: 305

Kudos [?]: 3543 [0], given: 12654

CAT Tests
Re: In the figure above, each of the four large circles is [#permalink] New post 01 Oct 2020, 01:10
Expert's post
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!


For more theory and practice see our GRE - Math Book
_________________

- Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page
- Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020)
- Do you want all the FREE GRE tests on earth ?? Look at FREE GRE Practice Tests [Collection] - New Edition (2021)
- Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.
- Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos
- GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
Moderator
Moderator
User avatar
Joined: 09 Jun 2020
Posts: 164
Followers: 2

Kudos [?]: 122 [1] , given: 9

CAT Tests
Re: In the figure above, each of the four large circles is [#permalink] New post 01 Oct 2020, 03:19
1
This post received
KUDOS
as radius of large circle is 4 each side of square will be 8

diagonal of square is \(16 \sqrt{ 2 }\)

from the figure \(OA=4\) and \(AB=4 \)

OB=\(\sqrt{4^2 + 4^2}\)=\(4\sqrt{ 2 }\)

so radius of small circle will be =\(4\sqrt{ 2 }-4
\)

diameter of small circle is \(8\sqrt{ 2 }-8\)

option C is correct
Attachments

GRE In the figure above, each of the four large circles.png
GRE In the figure above, each of the four large circles.png [ 22.44 KiB | Viewed 302 times ]


_________________

thank you
gajala

"If you like my explanation please click kudos"
Thank you for 100 kudos


for more quant problems here is the link

https://greprepclub.com/forum/gre-math- ... -2609.html


Last edited by gajala on 01 Oct 2020, 19:56, edited 1 time in total.
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13693
GRE 1: Q160 V160
Followers: 305

Kudos [?]: 3543 [0], given: 12654

CAT Tests
Re: In the figure above, each of the four large circles is [#permalink] New post 01 Oct 2020, 09:09
Expert's post
Great Explanation

Now look better, you forgot the tag
Code:
[m][/m]


:wink:
_________________

- Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page
- Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020)
- Do you want all the FREE GRE tests on earth ?? Look at FREE GRE Practice Tests [Collection] - New Edition (2021)
- Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.
- Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos
- GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
Intern
Intern
User avatar
Joined: 09 Nov 2018
Posts: 43
Followers: 0

Kudos [?]: 26 [1] , given: 1

Re: In the figure above, each of the four large circles is [#permalink] New post 01 Oct 2020, 09:56
1
This post received
KUDOS
Step 1: Understanding the question
Let A, B and O be the centers of the circles and radius of the smaller circle be x
As the diagonals of the square intersect at right angle, triangle AOB is a right angled at O

AB = 4+4 = 8
AO = (x+4)
BO = (x+4)

Applying Pythagoras
\(AB^2 = AO^2 + BO^2\)
64 = 2* \((x+4)^2\)
32 = \((x+4)^2\)
x + 4 = 4\(\sqrt{2 }\)
x = 4\(\sqrt{2}\) - 4

Hence diameter of the smaller circle = 8\(\sqrt{2}\) - 8
C is correct
Attachments

GRE In the figure above, each of the four large circles.png
GRE In the figure above, each of the four large circles.png [ 22.68 KiB | Viewed 272 times ]


_________________

'GMAT Number Properties - 101 Solved Questions' available on amazon
https://www.amazon.in/dp/B08KBF6NB9/ref=cm_sw_r_wa_apa_SyZCFb0KJ6YZ0


Want to Prepare for GRE Quant? Copy the below link:
meetup.link/QuantMadeEasy

Re: In the figure above, each of the four large circles is   [#permalink] 01 Oct 2020, 09:56
Display posts from previous: Sort by

In the figure above, each of the four large circles is

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.