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M=N+2

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Source: — Data Sufficiency |

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by Anurag@Gurome » Thu Sep 06, 2012 10:08 pm
grandh01 wrote:Given that m= n + 2, what is the value
of m^2+4m+4?

1) n=20
2) n^=400

OA IS D
m = n + 2
We want to find the value of m² + 4m + 4.

(1) n = 20 implies m = 20 + 2 = 22
So, we can find the value of m² + 4m + 4, as we know m; SUFFICIENT.

(2) n² = 400 implies n = 20, -20
If m = 22, so we can find the value of m² + 4m + 4, as we did in statement 1.
If m = -18, we get a different value of m² + 4m + 4
No definite answer; NOT sufficient.

The correct answer is A.
Last edited by Anurag@Gurome on Thu Sep 06, 2012 10:21 pm, edited 1 time in total.
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by neelgandham » Thu Sep 06, 2012 10:12 pm
Thanks for the response Anurag, but can't n be -20 ?
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by alex.gellatly » Thu Sep 06, 2012 10:19 pm
Anurag@Gurome wrote:
grandh01 wrote:Given that m= n + 2, what is the value
of m^2+4m+4?

1) n=20
2) n^=400

OA IS D
m = n + 2
We want to find the value of m² + 4m + 4.

(1) n = 20 implies m = 20 + 2 = 22
So, we can find the value of m² + 4m + 4, as we know m; SUFFICIENT.

(2) n² = 400 implies n = 20
Again m = 22, so we can find the value of m² + 4m + 4, as we did in statement 1; SUFFICIENT.

The correct answer is D.
Hold on now.... can't n=-20? Thus changing the value of our equation. I got A for this reason. I was surprised with the answer D. Am I missing something?
A useful website I found that has every quant OG video explanation:

https://www.beatthegmat.com/useful-websi ... tml#475231
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by Anurag@Gurome » Thu Sep 06, 2012 10:22 pm
Yes, n can be 20 and -20, both. I've edited my reply. The answer should be A here.
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