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If P and Q are each Circular Regions, what is the radius..

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If P and Q are each Circular Regions, what is the radius..

by ndesa » Fri Jun 24, 2011 5:16 pm
If P and Q are each circular regions, what is the radius of the larger of these regions?

(1) The area of P plus the area of Q is equal to 90pi.
(2) The larger circular region has a radius that is 3 times the radius of the smaller circular region.

Why is Statement 1 not sufficient?

Aren't r=3 and r=9 the only two radii that will fulfill the answer to the equation = 90pi?

I arrived at those numbers (3 and 9) just through basic plugging in. So Statement 1 seems sufficient to me.

Actual answer is: C

What gives?
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Source: — Data Sufficiency |
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by vikram4689 » Fri Jun 24, 2011 5:59 pm
U made the mistake of considering numbers as integers.

for x2 + y2 = 90.... we have infinite pair of x and y
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by vaibhavdoshi » Mon Jun 27, 2011 9:26 am
IMO C
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by mirantdon » Mon Jun 27, 2011 10:23 am
imo c.
Need both the statement together

pi*r^2 +pi*(3r)^2 =90 pi
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by Sanjay2706 » Tue Jun 28, 2011 1:53 am
IMO C.
It's quite clear coz in the first statement, there can be multiple values.
When we take both statements, we can solve the question.
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