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# M04-10

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Math Expert
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M04-10  [#permalink]

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16 Sep 2014, 00:22
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45% (medium)

Question Stats:

46% (00:39) correct 54% (00:29) wrong based on 184 sessions

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What is the value of $$x$$?

(1) $$x!$$ is odd

(2) $$x$$ is even

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Re M04-10  [#permalink]

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16 Sep 2014, 00:22
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Official Solution:

(1) $$x!$$ is odd. Two values satisfy this condition 0 and 1: $$0!=1$$ and $$1!=1$$. Not sufficient.

(2) $$x$$ is even. $$x$$ can be any even number. Not sufficient.

(1)+(2) Since from (1) $$x$$ is either 0 or 1 and (2) says that $$x$$ is even then $$x=0=\text{even}$$. Sufficient.

Answer: C
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M04-10  [#permalink]

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Updated on: 15 Jul 2016, 02:35
got it

Originally posted by vighnesh.vera@gmail.com on 15 Jul 2016, 02:01.
Last edited by vighnesh.vera@gmail.com on 15 Jul 2016, 02:35, edited 1 time in total.
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Re: M04-10  [#permalink]

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15 Jul 2016, 02:15
vighnesh.vera@gmail.com wrote:
but don't you think so that 0 is a neutral number...i.e neither even nor odd.

ZERO:

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check more here: number-properties-tips-and-hints-174996.html
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26 May 2017, 08:39
is zero evenly divisible by 3 or by 7 ?
Also please let me know the remainder, if any.
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26 May 2017, 08:46
ARS1988 wrote:
is zero evenly divisible by 3 or by 7 ?
Also please let me know the remainder, if any.

Check the post just above yours, which says: 0 is divisible by EVERY integer except 0 itself.

Note: evenly divisible means simply divisible.
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Re: M04-10  [#permalink]

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30 May 2017, 09:20
Very good question, one needs to remember that 0! = 1 and 1! = 1.

Statement 1: x! is odd, only two numbers have odd factorial that are 0 and 1 as stated above. Insufficient.

Statement 2: x is even, there can be infinite possibilities. Insufficient.

Combine both statement, only 0 satisfies the conditions because 0 is even and its factorial is odd.

Option C is correct.
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Re: M04-10  [#permalink]

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28 Sep 2017, 08:53
I too fell for the mistake of forgetting about 0! Actually, I thought of it but did not think 0! existed and didn't know it was = 1.

Anyway, my actual question is about the structure of DS questions. While doing the problem, I thought Statement 1 was sufficient so I eliminated the possibility of the answer being choices B,C,E.

While analyzing statement 2, while it's obviously insufficient the statement made me double think if Statement 1 was sufficient given that x = 1 is not even. I know you should think of each statement individually, but in all DS questions I can think of, if one or more of the statements are sufficient then the two statements always confirm each other. In this scenario it didn't make sense to me that if Statement 1 were indeed sufficient, they wouldn't contradict the answer in Statement two. Does this actually hold true on the GMAT? In the future, if I'm in a situation like this where I see Statement 2 contradicting statement 1 (which I incorrectly thought was sufficient) can I use this as a sign to re-evaluate the first statement?

Thank you!
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Posts: 47221
Re: M04-10  [#permalink]

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28 Sep 2017, 08:58
Gmatfrog3 wrote:
I too fell for the mistake of forgetting about 0! Actually, I thought of it but did not think 0! existed and didn't know it was = 1.

Anyway, my actual question is about the structure of DS questions. While doing the problem, I thought Statement 1 was sufficient so I eliminated the possibility of the answer being choices B,C,E.

While analyzing statement 2, while it's obviously insufficient the statement made me double think if Statement 1 was sufficient given that x = 1 is not even. I know you should think of each statement individually, but in all DS questions I can think of, if one or more of the statements are sufficient then the two statements always confirm each other. In this scenario it didn't make sense to me that if Statement 1 were indeed sufficient, they wouldn't contradict the answer in Statement two. Does this actually hold true on the GMAT? In the future, if I'm in a situation like this where I see Statement 2 contradicting statement 1 (which I incorrectly thought was sufficient) can I use this as a sign to re-evaluate the first statement?

Thank you!

Yes. On the GMAT, two data sufficiency statements always provide TRUE information and these statements NEVER contradict each other or the stem.
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Re: M04-10 &nbs [#permalink] 28 Sep 2017, 08:58
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