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# What is the value of integer n? 1) n(n+2)=15 2) (n+2)^n=125

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Manager
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What is the value of integer n? 1) n(n+2)=15 2) (n+2)^n=125 [#permalink]

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09 May 2008, 08:31
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What is the value of integer n?

1) n(n+2)=15
2) (n+2)^n=125
Director
Joined: 23 Sep 2007
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Re: DS: integer [#permalink]

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09 May 2008, 08:44
puma wrote:
What is the value of integer n?

1) n(n+2)=15
2) (n+2)^n=125

statement 1: n could be 3 or -5, insuff

statement 2: 125 = 5x5x5 --> n=3, suff

my guess is b
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Re: DS: integer [#permalink]

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09 May 2008, 09:58
from statement 1 we get n=3 or n= -5
and if we use the information from statement 2 we can say n=3

I think we need both statement to determine the value of n so C is the answer
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Re: DS: integer [#permalink]

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09 May 2008, 12:10
I think the answer is B.

From statement 2 alone, we can determine that n = 3.
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Re: DS: integer [#permalink]

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09 May 2008, 12:21
1) n(n+2)=15
n^2+2*n-15=0
(n+5)*(n-3)=0
n=-5 or 3
insufficient

2)
because (n+2)^n=125
n cannot be negative or a fractional value.
the cube root of 125 is 5
n=3
sufficient

B
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Re: DS: integer [#permalink]

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09 May 2008, 12:23
puma wrote:
What is the value of integer n?

1) n(n+2)=15
2) (n+2)^n=125

1: could be 3 or -5.

2: could be 3. or

(n+2)^n=5^3. 125=5^3 or 1/5^-3. But the second case will cause n to be a non-integer value. Thus I say,

B.
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Re: DS: integer [#permalink]

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10 May 2008, 23:13
Bud, I can't agree with OA = C...
This is B.
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Re: DS: integer [#permalink]

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11 May 2008, 08:27
Maple wrote:
bkk145 wrote:
Bud, I can't agree with OA = C...
This is B.

Provide the OE.

In (2)...
(n+2)^n=125
125 = 5^3
This means
(n+2)^n = 5^3
n=3
SUFFICIENT
Re: DS: integer   [#permalink] 11 May 2008, 08:27
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# What is the value of integer n? 1) n(n+2)=15 2) (n+2)^n=125

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