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Is 5x − 25 odd? (1) (x+2)(x−3)= 0 (2) x is not a factor of 10.

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Intern
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Is 5x − 25 odd? (1) (x+2)(x−3)= 0 (2) x is not a factor of 10.  [#permalink]

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New post 21 Feb 2019, 23:40
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (01:13) correct 50% (01:26) wrong based on 32 sessions

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Is 5x − 25 odd?

(1) (x+2)(x−3)= 0
(2) x is not a factor of 10.
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Is 5x − 25 odd? (1) (x+2)(x−3)= 0 (2) x is not a factor of 10.  [#permalink]

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New post 22 Feb 2019, 01:25
divyadamahe wrote:
Is 5x − 25 odd?

(1) (x+2)(x−3)= 0
(2) x is not a factor of 10.


Question: Is 5x − 25 odd?

For 5x-25 to be odd, x must be even

Question REPHRASED: Is x even?

Statement 1: (x+2)(x−3)= 0

i.e. x = -2 or 3 i.e. x may be even and odd both hence
NOT SUFFICIENT

Statement 2: x is not a factor of 10.

i.e. x may be 4 or 7 both hence i.e. x may be even and odd both hence
NOT SUFFICIENT

Combining both statements
x = -2 or 3 and both values of x are not factors of 10 and x may still be even or odd hence

NOT SUFFICIENT

Answer: Option E

divyadamahe The answer of this question should be E as explained above.
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Re: Is 5x − 25 odd? (1) (x+2)(x−3)= 0 (2) x is not a factor of 10.  [#permalink]

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New post 22 Feb 2019, 14:05
I'm getting E as well. Can someone explain how C is correct?
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Re: Is 5x − 25 odd? (1) (x+2)(x−3)= 0 (2) x is not a factor of 10.  [#permalink]

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New post 22 Feb 2019, 17:58
The whole question is problematic, because it boils down to: "is -2 a factor of 10?" The answer is yes, because when you divide 10 by -2, you get an integer result. But in any real GMAT question that discusses integer factors, your numbers will absolutely always be positive. You don't need to know whether negative numbers can be factors - the GMAT is not testing whether you know obscure technicalities in the definitions of math terminology.
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Re: Is 5x − 25 odd? (1) (x+2)(x−3)= 0 (2) x is not a factor of 10.   [#permalink] 22 Feb 2019, 17:58
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