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What is the value of integer n?

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What is the value of integer n? [#permalink]

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What is the value of integer n?

(1) n(n+1) =6
(2) 2^(2n) = 16
[Reveal] Spoiler: OA
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Re: What is the value of integer n? [#permalink]

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Re: What is the value of integer n? [#permalink]

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New post 22 Aug 2017, 05:57
What is the value of integer n?

(1) n(n+1) =6

n & (n+1) means is TWO Consecutive integers.

Therefore, either 6 = 2 * 3 or 6 = -2 * -3 (do not negative negative values)

n =2 or -3

Insufficient

(2) 2^(2n) = 16

2^(2n) = 4 ^n = 16 = 4^2.......n =2

Sufficient

Answer: B
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Re: What is the value of integer n? [#permalink]

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New post 13 Dec 2017, 22:02
Hi All,

We're told that N is an integer. We are asked for the value of N.

1) (N)(N+1) = 6

Here, we can do a bit of algebra to create a Quadratic...

N^2 + N = 6
N^2 + N - 6 = 0
(N+3)(N-2) = 0
N = -3 or +2
With two different solutions...
Fact 1 is INSUFFICIENT

2) 2^(2N) = 16

The ONLY exponent that will fit here is 4.... 2^4 = 16.
2N = 4
N =2
Fact 2 is SUFFICIENT

Final Answer:
[Reveal] Spoiler:
B


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Re: What is the value of integer n?   [#permalink] 13 Dec 2017, 22:02
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