|
Author |
Message |
|
TAGS:
|
|
|
Manager
Joined: 01 Jan 2005
Posts: 169
Location: NJ
Followers: 1
Kudos [?]:
0
[0], given: 0
|
Does the area of square S equals the area of circle C? I) [#permalink]
 03 Mar 2005, 19:06
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
Does the area of square S equals the area of circle C?
I) The diameter of C equals side of S.
II) Ratio of 2/4 of area of circle C to 5/8 of the area of square S is less than 1:1
|
|
|
|
|
|
|
Current Student
Joined: 28 Dec 2004
Posts: 3439
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 11
Kudos [?]:
134
[0], given: 2
|
D it is...
1) we know Diameter is X....lets say side of square S is equal to X
area of circle= pi(x/2)^2
area of square S=x^2, we can easily tell that area of circle in not equal to area of square.
1 is sufficient
2) we have the area of 1/2circle over 5/8 area of Square S is <1
12/5 (area of circle)/(area of square) <1, we can see that the area of square S has to be bigger than 12/5*area of circle...sufficient
|
|
|
|
|
|
SVP
Joined: 18 Nov 2004
Posts: 1544
Followers: 2
Kudos [?]:
9
[0], given: 0
|
"A"
state 1.....we know dia and side....suff
state 2.....(1/2C) / (5/8 S) < 1..........4C < 5S....for S = C = 1.....YES....S = 2 C = 1.....NO...insuff
|
|
|
|
|
|
SVP
Joined: 25 Nov 2004
Posts: 1581
Followers: 4
Kudos [?]:
13
[0], given: 0
|
from i.
C=pi(d/2)^2=(3.14d^2)/4
S=d^2
from above; S>C .............suff
from ii,
0.5C/ 0.625S<1
4C<5S......... insuff.
OA is A.
|
|
|
|
|
|
Current Student
Joined: 28 Dec 2004
Posts: 3439
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 11
Kudos [?]:
134
[0], given: 2
|
Ma bad...I got the fraction wrong. its 4/5 and yes A it is...
ahhh...if I can only keep my focus....during the actual test!
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
