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If x is an integer, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 55264
If x is an integer, what is the value of x?  [#permalink]

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24 Jul 2017, 23:24
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Difficulty:

65% (hard)

Question Stats:

50% (02:24) correct 50% (01:54) wrong based on 56 sessions

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If x is an integer, what is the value of x?

(1) $$x|x| ≤ 9$$.

(2) $$x^{2|x|} = 729$$.

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Joined: 18 Aug 2016
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Re: If x is an integer, what is the value of x?  [#permalink]

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25 Jul 2017, 01:20
Bunuel wrote:
If x is an integer, what is the value of x?

(1) $$x|x| ≤ 9$$.

(2) $$x^{2|x|} = 729$$.

(1) x|x| ≤ 9

x can be 3, 2 , 1, 0, -1, -2, -3,-4,........ not sufficient

(2) x^{2|x|} = 729
x^{2|x|} = 3^6
x can be -3 or 3......not sufficient

On combining, we have 2 values of x (-3, 3) hence E
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Re: If x is an integer, what is the value of x?   [#permalink] 25 Jul 2017, 01:20
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