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Is B an integer? (1) B^3 is an integer

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Director
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Is B an integer? (1) B^3 is an integer [#permalink] New post 04 Feb 2012, 17:29
00:00
A
B
C
D
E

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  35% (medium)

Question Stats:

63% (01:28) correct 36% (00:48) wrong based on 55 sessions
Is B an integer?

(1) B^3 is an integer
(2) B^(1/3) is an integer
[Reveal] Spoiler: OA

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Last edited by Bunuel on 04 Feb 2012, 17:35, edited 1 time in total.
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Re: Algebra Integer check [#permalink] New post 04 Feb 2012, 17:33
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Is B an integer?

(1) B^3 is an integer --> B certainly can be an integer but it also can be cube root of an integer, for istance \sqrt[3]{5} or\sqrt[3]{7}. Not sufficient.

(2) (B) ^ 1/3 is an integer --> \sqrt[3]{B}=integer --> B=integer^3=integer. Sufficient.

Answer: B.
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Integer B [#permalink] New post 25 Mar 2012, 16:01
Is b an integer?
(1)b^3is an integer.
(2)3\sqrt{b} is an integer.------ [Cube root of b]

Any idea why not A?
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Re: Integer B [#permalink] New post 25 Mar 2012, 16:05
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Re: Integer B   [#permalink] 25 Mar 2012, 16:05
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Is B an integer? (1) B^3 is an integer

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