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

 It is currently 11 Dec 2018, 06:02

# R1 Decisions:

HBS Chat - Decisions will be released at Noon ET  |  UVA Darden Chat  |  YouTube Live with Cornell Johnson @11am ET

### 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.

# Does the area of square S equal the area of circle C?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 17 Jul 2018
Posts: 37
Location: United States (CA)
Concentration: Strategy, Organizational Behavior
Schools: CBS
GMAT 1: 200 Q1 V1
GPA: 3
WE: Sales (Consulting)
Does the area of square S equal the area of circle C?  [#permalink]

### Show Tags

22 Aug 2018, 21:35
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:58) correct 23% (01:13) wrong based on 30 sessions

### HideShow timer Statistics

Does the area of square S equal the area of circle C?

(1) The diameter of circle C equals the length of a side of square S.

(2) The ratio of the area of circle C to the area of square S is less than 1:1.

(A)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
(B)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
(C)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
(D)EITHER statement BY ITSELF is sufficient to answer the question.
(E)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Does the area of square S equal the area of circle C?  [#permalink]

### Show Tags

22 Aug 2018, 21:51
1
s55day wrote:
Does the area of square S equal the area of circle C?

(1) The diameter of circle C equals the length of a side of square S.

(2) The ratio of the area of circle C to the area of square S is less than 1:1.

Question stem:- Does the area of square S equal the area of circle C?

St1:- The diameter of circle C equals the length of a side of square S.
Or, 2r=a
So, Area of circle=$$\pi*r^2$$=$$3.14r^2$$(Approx.)
Area of square=$$a^2=(2r)^2$$=$$4r^2$$

Between $$3.14r^2$$ and $$4r^2$$, $$4r^2$$ is greater.
Therefore, area of square S is greater than circle C.
Sufficient.

St2:- The ratio of the area of circle C to the area of square S is less than 1:1
Or, $$\frac{\pi*r^2}{a^2} < 1$$
Or, $$\pi*r^2 < a^2$$
Or, area of square S is greater than circle C.
Sufficient.

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Joined: 13 Mar 2017
Posts: 662
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Does the area of square S equal the area of circle C?  [#permalink]

### Show Tags

22 Aug 2018, 21:59
s55day wrote:
Does the area of square S equal the area of circle C?

(1) The diameter of circle C equals the length of a side of square S.

(2) The ratio of the area of circle C to the area of square S is less than 1:1.

(A)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
(B)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
(C)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
(D)EITHER statement BY ITSELF is sufficient to answer the question.
(E)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

To check : Area of square = area of circle
Statement 1: diameter of circle say d = side of square
Area of circle = $$pi*(d/2)^2$$
Area of square = d^2
We can easily compare if area is equal or not.. We don't need to know the answer though
Sufficient

Statement 2: Area of Circle : Area of Square <1:1
Area of Circle < Area of Square and hence Area of circle =/= Area of square
Sufficient

_________________

CAT 2017 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Math Expert
Joined: 02 Aug 2009
Posts: 7099
Does the area of square S equal the area of circle C?  [#permalink]

### Show Tags

22 Aug 2018, 23:31
s55day wrote:
Does the area of square S equal the area of circle C?

(1) The diameter of circle C equals the length of a side of square S.

(2) The ratio of the area of circle C to the area of square S is less than 1:1.

(A)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
(B)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
(C)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
(D)EITHER statement BY ITSELF is sufficient to answer the question.
(E)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Remember all values related to circle such as area, circumference, diameter etc are dependent on only radius
and all values related to square such as area, perimeter, diagonal are dependent on only the side.
so if we know side and radius you can compare anything

so REQUIREMENT - knowing the values of radius and sides is enough. dont have to calculate any area .

(1) The diameter of circle C equals the length of a side of square S.
side = 2r, so we have both radius related and thus relative area too can be found.. sufficient
but lets see
area of square = $$side^2 = 4r^2$$
area of circle = $$\pi*r^2$$...
4>pi
sufficient

(2) The ratio of the area of circle C to the area of square S is less than 1:1.
gives the info directly..
sufficient

D
_________________

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

Does the area of square S equal the area of circle C? &nbs [#permalink] 22 Aug 2018, 23:31
Display posts from previous: Sort by