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# m03 # 11 question

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Intern
Joined: 06 Oct 2010
Posts: 18
Location: United States
GMAT 1: 740 Q49 V42
GPA: 3.01

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29 Jun 2011, 06:52
If x is an integer, is x even?

1. 11/x is an integer
2. 22/x is an integer

SVP
Joined: 16 Nov 2010
Posts: 1663
Location: United States (IN)
Concentration: Strategy, Technology
Re: m03 # 11 question [#permalink]

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29 Jun 2011, 06:55
(1) says

11/x is an integer

We know that 11 is a prime, so it can be divisible only by 1 or 11, so x = 1 or 11

=> x is odd, and the answer to the question is a definite No.

Thus (1) is Sufficient

(2) says 22/x is integer, but now x can be 1,2,11,22

=> x can be odd/even

So (2) is not sufficient

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Intern
Joined: 14 Nov 2011
Posts: 1
Concentration: General Management
GMAT Date: 03-22-2012
Re: m03 # 11 question [#permalink]

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26 Feb 2012, 16:16
Why couldn't X be zero? 11/0 = 0 which is an even integer. That would make the answer E.
Math Expert
Joined: 02 Sep 2009
Posts: 39702
Re: m03 # 11 question [#permalink]

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26 Feb 2012, 16:35
hummcon wrote:
Why couldn't X be zero? 11/0 = 0 which is an even integer. That would make the answer E.

Division by zero is undefined, so 11/0 is not allowed. The question should mention that x does not equal to zero to avoid confusion. It will be corrected for the next edition.

For more on number properties check Number Theory chapter of Math Book: math-number-theory-88376.html

Hope it helps.
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Re: m03 # 11 question   [#permalink] 26 Feb 2012, 16:35
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# m03 # 11 question

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