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If n is an integer, is n even? [#permalink]
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10 Aug 2014, 12:22
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If n is an integer, is n even? (1) 2n is divisible by 4 (2) n^2 is even
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Re: If n is an integer, is n even? [#permalink]
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10 Aug 2014, 12:47
(1) \(2n\) divisible by 4 means that n contains at least one 2 as a factor. Therefore the statement is sufficient.
(2) odd*odd = odd even*even = even
as \(n^2\) is even, n must be even. Sufficient.
Answer D.



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Re: If n is an integer, is n even? [#permalink]
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12 Aug 2014, 07:58



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Re: If n is an integer, is n even? [#permalink]
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27 Jan 2015, 14:54
If n is an integer, is n even?
(1) 2n is divisible by 4 (2) n^2 is even
Hello Bunuel, I got confused when I was solving this question. First let's agree on a couple of points, 0 is an integer, 0 is neither even nor odd, & 0 is divisible by everything.
So when I look at the first statement it says 2n is divisible by 4, what if n=0, this statement would still be correct, however 0 is neither even nor odd, so how is statement one sufficient on it's own.
Regards, YA



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Re: If n is an integer, is n even? [#permalink]
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27 Jan 2015, 20:04
Hi youssefhabouseif, 0 IS an EVEN integer, by definition. Here's why: On a number line, consecutive integers fall into the pattern....even....odd.....even....odd.....even....odd....etc. 2 = even 1 = odd 0 = even 1 = odd 2 = even Etc. Knowing that 0 IS EVEN, you likely would have picked the correct answer, but it's important to keep this rule in mind  you'll likely use it on Test Day at least once. GMAT assassins aren't born, they're made, Rich
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Re: If n is an integer, is n even? [#permalink]
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28 Jan 2015, 01:47
youssefhabouseif wrote: If n is an integer, is n even?
(1) 2n is divisible by 4 (2) n^2 is even
Hello Bunuel, I got confused when I was solving this question. First let's agree on a couple of points, 0 is an integer, 0 is neither even nor odd, & 0 is divisible by everything.
So when I look at the first statement it says 2n is divisible by 4, what if n=0, this statement would still be correct, however 0 is neither even nor odd, so how is statement one sufficient on it's own.
Regards, YA 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: tipsandhintsforspecificquanttopicswithexamples172096.html#p1371030
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Re: If n is an integer, is n even? [#permalink]
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22 Aug 2016, 02:35
Here given n is an integer we need to see if its even or odd Statement 1 => 2n/4=Integer => N is divisible by 2 => Its even [[as The numbers that are divisible by 2 are evens ]] Statement 2 => n^2=even => n must be even as POWER DOES NOT EFFECT THE EVEN OR ODD NATURE OF ANY NUMBER.
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