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Finding "N"

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by f2001290 » Mon Jun 18, 2007 7:31 am
What is the value of the integer n?
(1) n(n + 2) = 15
(2) (n + 2)^n = 125
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Source: — Data Sufficiency |
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by mschling52 » Mon Jun 18, 2007 7:52 am
Is it B? From (1) we can gather that

n^2 + 2n -15 = 0
(n+5)(n-3) = 0

n = 3 or -5...not sufficient.

But using (2) if we factorize 125

125 = 5 * 25 = 5*5*5 = 5^3, so n=3.
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by jrbrown2 » Mon Jun 18, 2007 7:54 am
with statement 1:
n(n+2)=15 This is a quadratic equation so expand it out

n^2 +2n -15 = 0

(n+5)(n-3)=0
n=-5, +3

n has 2 values so statement 1 is not sufficient

with statement 2:

(n+2)^n = 125
n = 3
statement 2 is sufficient but statement 1 is not...B
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by f2001290 » Mon Jun 18, 2007 8:05 am
Thanks mschling and brown.

Even i thought it to be B. But OA is C. We can conclude that OA is wrong.
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by manred » Tue Jul 10, 2007 7:10 pm
Phantom, I agree that 125 has roots 5, -5 and -5, but for other value of n (other than 3) is (n+2)^n = 125? I think the only possible value of n satisfying that equation is 3. hence I believe the answer to be B. Can you provide an eloborate explantion?
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