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# Is X^3 an odd integer? (1) 3 square root X is an odd

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Director
Joined: 03 May 2007
Posts: 894
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 61 [0], given: 7

Is X^3 an odd integer? (1) 3 square root X is an odd [#permalink]  21 Aug 2007, 04:38
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Is X^3 an odd integer?

(1) 3 square root X is an odd integer.
(2) X is an odd integer.
VP
Joined: 10 Jun 2007
Posts: 1465
Followers: 6

Kudos [?]: 128 [0], given: 0

Re: DS: Integer [#permalink]  21 Aug 2007, 05:12
Fistail wrote:
Is X^3 an odd integer?

(1) 3 square root X is an odd integer.
(2) X is an odd integer.

D.

If x is odd, then x^3 is odd. Only odd*odd=odd
(1) This one you know that sqrt(x) is odd. Only odd values of x will give its sqrt odd. SUFFICIENT

(2) x is odd, then yes. SUFFICIENT.
Intern
Joined: 04 Dec 2004
Posts: 37
Location: bangalore
Followers: 0

Kudos [?]: 1 [0], given: 0

Clearly, either of the statements are sufficient to answer the question..

D
Intern
Joined: 04 Dec 2004
Posts: 37
Location: bangalore
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: DS: Integer [#permalink]  21 Aug 2007, 06:24
Fistail wrote:
do we know x is an integer?

using statement 1:
since 3*sqrt x is an odd integer => sqrt x is odd integer
=> x is odd integer

using statement 2 : x is an odd integer

So, using either of the statements, we can deduce that x is an odd integer.
So, x^3 has to be odd integer.
Current Student
Joined: 28 Dec 2004
Posts: 3392
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 180 [0], given: 2

if the cube-root is an odd integer..then X is an odd integer..sufficinet..

statement 2 ..obvious..
Manager
Joined: 03 Sep 2006
Posts: 233
Followers: 1

Kudos [?]: 5 [0], given: 0

Easy D here.

2 Fistail: there is clear statement everywhere, that X should be integer, so it couldn't be any fractions in this question.
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