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If \(g\) is an integer what is the value of \((-1)^{g^4 - 1}\) ?
(1) \(g^2<{1}\)
(2) \(g^2+2 g=0\)
Source: GMAT Club Tests - hardest GMAT questions
(1) \(g^2<{1}\)
(2) \(g^2+2 g=0\)
Source: GMAT Club Tests - hardest GMAT questions
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19 Dec 2012, 06:40
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ugimba
BELOW IS REVISED VERSION OF THIS QUESTION:
If \(g\) is an integer what is the value of \((-1)^{g^4 - 1}\) ?
(1) \(g^2<{1}\)
(2) \(g^2+2 g=0\)
SOLUTION:
(1) \(g^2<{1}\) --> since \(g\) is an integer then \(g=0\). Sufficient to calculate the value of \((-1)^{g^4 - 1}\).
(2) \(g^2+2g=0\) --> \(g(g+2)=0\) --> \(g=0\) or \(g=-2\). Since both possible values of \(g\) are even then \((-1)^{even^4 - 1}=(-1)^{even-1}=(-1)^{odd}=-1\). Sufficient.
Answer: D.
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19 Dec 2012, 17:14
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good question really tricky, i went on select B in hurry
