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## Princeton DS problem

This topic has 2 member replies
moneyman Master | Next Rank: 500 Posts
Joined
03 Mar 2007
Posted:
468 messages
5

#### Princeton DS problem

Wed May 09, 2007 6:37 am

If figures M and N are circles, what is the circumference of N?

(1) If the radius of N were 4 times as long, the areas of M and N would be equal.
(2) The difference between the diameter of M and the diameter of N is 12.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT SUFFICIENT

_________________
Maxx

moneyman Master | Next Rank: 500 Posts
Joined
03 Mar 2007
Posted:
468 messages
5
Thu May 10, 2007 2:26 am
Yes the answer is C..Thank u very much..

_________________
Maxx

mschling52 Master | Next Rank: 500 Posts
Joined
18 Sep 2006
Posted:
105 messages
7
Test Date:
5/12/07
GMAT Score:
780
Wed May 09, 2007 7:15 am

(1) If we call m the radius of circle M and n the radius of circle N, then from (1) we have that 4n = m, which is clearly not sufficient to know the circumference of N since we know nothing about the actual values of m and n.

(2) This gives us that |2m-2n|=12, but again, nothing about the values of either radius (they could be 13 and 1 or 90 and 77). In addition we don't even know which circle is the bigger of the two.

(1)&(2) From (1) we know that M is the bigger circle, that 4n = m, and from (2) we know that 2m-2n=12. Substituting the first equation into the second we can solve for

n = 2
m = 8

So the circumference of N is 4(pi).

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