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Data Sufficiency (DS) | Re: What is the value of integer n ? (1) (n – 2)(n + 2) = 5 (2) n(n + 2)

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Bunuel wrote:

What is the value of integer n ?

(1) (n – 2)(n + 2) = 5
(2) n(n + 2) = 15



Statement 1:

(n+2)(n-2)=5 --> n2-4=5 --> n2=9 --> n= +3 or -3. Since we have two values of n, statement is not sufficient.

Statement 2:

n(n+2)=15 --> n2+2n-15=0 --> n2+5n-3n-15=0 --> n(n+5) -3(n+5)=0 --> (n+5) (n-3) = 0 --> n = 3 or -5. Since we have two values of n, statement is not sufficient.

Statement 1+2 gives us unique value of n=3. Hence C is the answer.

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