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# Is cube-root(X) an odd integer? (1) X^3 is an odd integer.

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Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12
Is cube-root(X) an odd integer? (1) X^3 is an odd integer. [#permalink]

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21 Aug 2007, 08:17
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Is cube-root(X) an odd integer?

(1) X^3 is an odd integer.
(2) X is an odd integer
Director
Joined: 03 May 2007
Posts: 872
Schools: University of Chicago, Wharton School
Re: DS-integer (Fistals question twisted) [#permalink]

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21 Aug 2007, 08:42
fresinha12 wrote:
Is cube-root(X) an odd integer?

(1) X^3 is an odd integer.
(2) X is an odd integer

E.

1: if x = k^(1/3), where k is an any odd integer.
x = 3^(1/3), x^3 = 3
x = 1, x^3 = 1
nsf.

2: x could be any odd.

hence, from 1 and 2 too also nsf. we also know x is an odd integer.
Manager
Joined: 18 Jun 2007
Posts: 87

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21 Aug 2007, 11:22

Cube root ( X) = odd integer

or X = cube ( Odd Integer) ??

Option 1 :

X ^ 3= Odd Integer

X = Cube ( Odd Integer )

A Sufficient

Option 2

X is Odd - Which could be anything..

VP
Joined: 10 Jun 2007
Posts: 1439
Re: DS-integer (Fistals question twisted) [#permalink]

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21 Aug 2007, 11:27
fresinha12 wrote:
Is cube-root(X) an odd integer?

(1) X^3 is an odd integer.
(2) X is an odd integer

Hmm, E for me.

(1) you know that x is any odd. Can be any odd. INSUFFICIENT.
(2) you know that x is any odd. Can be any odd. INSUFFICIENT.

Together, more of the same.
Manager
Joined: 03 Sep 2006
Posts: 233

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21 Aug 2007, 19:42
I think answer is C here, and here are my point:

Q: cube-root(X) = odd integer?
1) Ins: X^3 can be any, for example 5
2) Ins: X can be any, for ex. 5

Together: Suff: if X -s and odd int, then X^3 will be simply X*X*X and we can figure out that the cube-root(X) is just X in our example, and X is an odd integer.
21 Aug 2007, 19:42
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# Is cube-root(X) an odd integer? (1) X^3 is an odd integer.

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