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Is m < 0 ?

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Is m < 0 ?

by vinni.k » Fri Dec 28, 2012 1:20 am
Is m < 0 ?

(1) -m = |-m|
(2) m^2 = 9

Answer is C

Thanks & Regards
Vinni
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Source: — Data Sufficiency |

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by Anurag@Gurome » Fri Dec 28, 2012 1:44 am
vinni.k wrote:Is m < 0 ?

(1) -m = |-m|
(2) m^2 = 9
Statement 1: By definition |m| = -m if and only if m ≤ 0
Hence, we can conclude that m less than or equal to zero.

Not sufficient

Statement 2: m² = 9
Hence, either m = -3 or m = 3.

Not sufficient

1 & 2 Together: m must be equal to -3 < 0

Sufficient

The correct answer is C.
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by vinni.k » Fri Dec 28, 2012 9:48 am
Anurag@Gurome wrote:
Statement 1: By definition |m| = -m if and only if m ≤ 0
Hence, we can conclude that m less than or equal to zero.

Not sufficient

Statement 2: m² = 9
Hence, either m = -3 or m = 3.

Not sufficient

1 & 2 Together: m must be equal to -3 < 0

Sufficient

The correct answer is C.
Thanks Anurag. Appreciate your reply. :D

Regards
Vinni
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