gmat prep 2

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Source: — Data Sufficiency |

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by Geva@EconomistGMAT » Mon Jul 25, 2011 11:14 pm
jainrahul1985 wrote:Is |k | = 2 ?
(1) k^2 = 4
(2) k = |-2|

OA D
If k^2=4, then k equals 2 or -2. Note that the question asked whether |k| equals 2:

If k=2, then |2| is equal to 2 and the answer is yes.
If k=-2, then |-2| is also equal to 2, and the answer is still yes.

Stat. (1) is therefore sufficient to answer the question ("YES").

Stat. (2): the absolute value of -2 is equal to 2, so stat. (2) basically says that k=2--> which means that |k| is equal to 2 as well, and the answer to the question stem is "yes" again. Sufficient. The answer is D.
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by Anurag@Gurome » Mon Jul 25, 2011 11:21 pm
jainrahul1985 wrote:Is |k | = 2 ?
(1) k^2 = 4
(2) k = |-2|

OA D
(1) k² = 4 implies k = 2 or -2.
When k = 2, |k| = 2
When k = -2, |k| = |-2| = 2, which means that the value of |k| = 2 for both values of k; SUFFICIENT.

(2) k = |-2| implies k = 2
So, |k| = 2; SUFFICIENT.

The correct answer is D.
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