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If |x| > 0, is x^y < 1? (1) x = 1/2 (2) y = 0

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Math Expert
Joined: 02 Sep 2009
Posts: 51227
If |x| > 0, is x^y < 1? (1) x = 1/2 (2) y = 0  [#permalink]

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03 Jul 2018, 09:42
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Difficulty:

25% (medium)

Question Stats:

74% (01:09) correct 26% (01:13) wrong based on 86 sessions

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If $$|x| > 0$$, is $$x^y < 1$$?

(1) $$x = 1/2$$

(2) $$y = 0$$

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7108
Re: If |x| > 0, is x^y < 1? (1) x = 1/2 (2) y = 0  [#permalink]

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03 Jul 2018, 10:21
1
If $$|x| > 0$$, is $$x^y < 1$$?
Means $$x\neq{0}$$

(1) $$x = 1/2$$
so is $$\frac{1}{2}^y<1$$
if y = a negative integer, ans is NO......$$\frac{1}{2}^-1<1......2^1<1...NO$$
If y = 2, ans is YES
insuff

(2) $$y = 0$$...
$$x^y < 1$$
whatever be the value of x, x^0 will be 1
so ans is NO always
suff

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If |x| > 0, is x^y < 1? (1) x = 1/2 (2) y = 0 &nbs [#permalink] 03 Jul 2018, 10:21
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If |x| > 0, is x^y < 1? (1) x = 1/2 (2) y = 0

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