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

It is currently 17 Nov 2019, 15:15

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

Two squares are oriented with respect to a circle as shown in the figu

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
P
Joined: 17 Oct 2016
Posts: 258
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Reviews Badge
Two squares are oriented with respect to a circle as shown in the figu  [#permalink]

Show Tags

New post Updated on: 18 Feb 2019, 07:41
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:09) correct 30% (02:15) wrong based on 20 sessions

HideShow timer Statistics

Two squares are oriented with respect to a circle as shown in the figure. The circle touches all the sides of the larger square and all the angles of the smaller square lie on the circumference of the circle. What is the ratio of the area of the smaller square to that of the larger square is:

Image

Image

A. 1:3

B. 1:4

C. 2:1

D. 1:5

E. 1:2

_________________
_____________________
Chasing the dragon

Originally posted by fitzpratik on 18 Feb 2019, 06:58.
Last edited by fitzpratik on 18 Feb 2019, 07:41, edited 3 times in total.
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Two squares are oriented with respect to a circle as shown in the figu  [#permalink]

Show Tags

New post 18 Feb 2019, 07:34
fitzpratik wrote:
Two squares are oriented with respect to a circle as shown in the figure. The circle touches all the sides of the larger square and all the angles of the smaller square lie on the circumference of the circle. What is the ratio of the area of the smaller square to that of the larger square is:

Image

A. 1:3

B. 1:4

C. 2:1

D. 1:5

E. 1:2



Figure is not visible...
_________________
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
Senior Manager
Senior Manager
User avatar
P
Joined: 17 Oct 2016
Posts: 258
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Reviews Badge
Re: Two squares are oriented with respect to a circle as shown in the figu  [#permalink]

Show Tags

New post 18 Feb 2019, 07:42
GMATinsight wrote:
fitzpratik wrote:
Two squares are oriented with respect to a circle as shown in the figure. The circle touches all the sides of the larger square and all the angles of the smaller square lie on the circumference of the circle. What is the ratio of the area of the smaller square to that of the larger square is:

Image

A. 1:3

B. 1:4

C. 2:1

D. 1:5

E. 1:2



Figure is not visible...



Have edited the link. I hope its visible now
_________________
_____________________
Chasing the dragon
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: Two squares are oriented with respect to a circle as shown in the figu  [#permalink]

Show Tags

New post 18 Feb 2019, 08:21
fitzpratik wrote:
Two squares are oriented with respect to a circle as shown in the figure. The circle touches all the sides of the larger square and all the angles of the smaller square lie on the circumference of the circle. What is the ratio of the area of the smaller square to that of the larger square is:

Image

Image

A. 1:3

B. 1:4

C. 2:1

D. 1:5

E. 1:2



fitzpratik, it is visible now.

So if we consider the circle of radius 2, then the smaller square will have side as 2\(\sqrt{2}\), since it is a square so the center angle will be a \(90^0\) that will make a 45-45-90 triangle

Now the bigger square will have side as 4, since the circle's diameter = square's side

Area of smaller square / Area of bigger square = 8/16

E
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5277
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Two squares are oriented with respect to a circle as shown in the figu  [#permalink]

Show Tags

New post 18 Feb 2019, 10:28
fitzpratik wrote:
Two squares are oriented with respect to a circle as shown in the figure. The circle touches all the sides of the larger square and all the angles of the smaller square lie on the circumference of the circle. What is the ratio of the area of the smaller square to that of the larger square is:

Image

Image

A. 1:3

B. 1:4

C. 2:1

D. 1:5

E. 1:2



the diameter of the circle will be equal to the side of the large square ; let it be = 4
and the diagonal of the small circle equal to diameter of circle ; so d = s√2 ; 4 =s√2 ; side of small square = 2 √2

so area of small square/ area of large square ; 2 *2 * 2 / 4 * 4 ; 1:2 IMO E
GMAT Club Bot
Re: Two squares are oriented with respect to a circle as shown in the figu   [#permalink] 18 Feb 2019, 10:28
Display posts from previous: Sort by

Two squares are oriented with respect to a circle as shown in the figu

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





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