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Bunuel
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Bunuel
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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(1) (n – 2)(n + 2) = 5
n^2-4=5
n^2=9
n= +-3
Not sufficient.

(2) n(n + 2) = 15
n^2+2n-15=0
(n+5)(n-3)=0
n= -5 or n=3
Not sufficient.

Combining statements 1 and 2,
n=3.
Hence, Answer is Option C.

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Bunuel
What is the value of integer n ?

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

1. (n – 2)(n + 2) = 5
=> n^2 - 4 = 5
=> n^2 = 9
=> n = 3 or -3

Not sufficient

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

Not sufficient

Combining 1 and 2 , we get
n=3
Sufficient

Answer C
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