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Is X to the power 3 an odd integer? (1) 3 square root X is

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Is X to the power 3 an odd integer? (1) 3 square root X is [#permalink] New post 12 Oct 2005, 20:22
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B
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D
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Is X to the power 3 an odd integer?

(1) 3 square root X is an odd integer.
(2) X is an odd integer.
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Edited. corrected [#permalink] New post 12 Oct 2005, 20:30
D.


(1) 3 sqrt(x) = odd
sqrt(x) = odd / 3 = odd,
x is off
x^3 = odd

(2)
odd ^ n = odd, n >= 0

Last edited by duttsit on 12 Oct 2005, 20:32, edited 1 time in total.
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 [#permalink] New post 12 Oct 2005, 20:30
D

x^3 is odd when x is odd.

a) Suff. 3*sqrt(x) = odd => 9*x = odd. So x has to be odd.
b) Given x is odd. So suff.
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 [#permalink] New post 12 Oct 2005, 21:04
HIMALAYA wrote:
i like this....


Well, I started with B, then moved to D.
I guess B is right.
(1) 3 * sqrt(1/9) = 1 = odd

but 1/9 ^ 3 is not odd
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 [#permalink] New post 12 Oct 2005, 21:58
Ans: B

1) This could lead to fraction as stated above by duttsit. If I remember right, fraction numbers are not considered to be odd or even. Please correct me if I am wrong

2) Suff: Multiplication property of number. odd * odd = odd

Btw, what is OA and explanation?
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 [#permalink] New post 12 Oct 2005, 23:27
If the first statement reads the cubed root of X = then answer is D.

If the first statement reads 3 times the sqrt X = then answer is B.
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 [#permalink] New post 13 Oct 2005, 00:43
x^3 = odd? Or X * X * X = odd?

In order for this to happen, X must be odd.

From 1, 3 * X^1/2 = odd. This means X^1/2 is odd. So X^1/2 * X^1/2 = odd * odd = odd. Statement 1 is sufficient.

From 2, X is odd. So statement 2 is sufficient.

D is the answer.
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 [#permalink] New post 13 Oct 2005, 17:00
duttsit wrote:
HIMALAYA wrote:
i like this....

Well, I started with B, then moved to D. I guess B is right.
(1) 3 * sqrt(1/9) = 1 = odd, but 1/9 ^ 3 is not odd

OA is B.
i) If x is an odd integer, then X^3 is odd integer. but, if x = 1/9, then X^3 is (1/3)^3 or 1/27, which is not even an integer. so not suff...
ii) it is clearly suff.
So B is correct..
  [#permalink] 13 Oct 2005, 17:00
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