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# Is x an integer?

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Manager
Joined: 03 Jul 2012
Posts: 87
GMAT 1: 710 Q50 V36
GPA: 3.9
WE: Programming (Computer Software)

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08 Sep 2012, 05:01
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11
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Difficulty:

45% (medium)

Question Stats:

56% (00:54) correct 44% (01:02) wrong based on 270 sessions

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Is x an integer?

(1) x³ is an integer
(2) ∛(x) is an integer

Can somebody explain why A is not sufficient?
Math Expert
Joined: 02 Sep 2009
Posts: 64314
Re: Is x an integer?  [#permalink]

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08 Sep 2012, 05:17
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2
Is x an integer?

(1) x³ is an integer. If $$x=1$$, then the answer is YES but if $$x=\sqrt[3]{2}$$, then the answer is NO. no sufficient.

(2) ∛(x) is an integer --> $$\sqrt[3]{x}=integer$$ --> raise to the third power: $$x=integer^3=integer$$. Sufficient.

Hope it's clear.
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Manager
Joined: 03 Jul 2012
Posts: 87
GMAT 1: 710 Q50 V36
GPA: 3.9
WE: Programming (Computer Software)
Re: Is x an integer?  [#permalink]

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08 Sep 2012, 05:29
1
Bunuel wrote:
Is x an integer?

(1) x³ is an integer. If $$x=1$$, then the answer is YES but if $$x=\sqrt[3]{2}$$, then the answer is NO. no sufficient.

(2) ∛(x) is an integer --> $$\sqrt[3]{x}=integer$$ --> raise to the third power: $$x=integer^3=integer$$. Sufficient.

Hope it's clear.

Yeah, its very clear . Thanks Bunuel.
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Re: Is x an integer?  [#permalink]

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08 May 2020, 05:21
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Re: Is x an integer?   [#permalink] 08 May 2020, 05:21