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eventually, is 0 even or it is neither even nor odd?

Zero is an even integer. (Zero is neither positive nor negative).

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 (in fact zero is divisible by every integer except zero itself).

I completely agree with Adhiraj even I assume that 0 is not even either but the answer says is C. My answer was E too... should I take it like a thumb rule that 0 is even in GMAT?

Even = 2n. where n: {0, 1, 2, ...} list of even nos: {0, 2, 4, ...} - 0 is inclusive.
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Clean bowled on this one! I guess I learned two things here.

1. 0! = 1, 0! & 1! are the only Odd factorials 2. 0 is an Even number (this was a surprise!)

I also think that the key is too look out for answer choices that seem 'too good to be true'; 95% of the time in such instances, the GMAT is playing around with you.

Good question... The answer is C and many people have already explained it. A small information regarding even and odd numbers. Even and odd numbers are defined for integers ie., -2,-4 etc are also even numbers. So, zero is obviously an even number. E = {...-4,-2,0,2,4...} O = {..-3,-1,1,3...}

PS: I am new to the forum and this is my first post..

In this partcular problem the OA is C. according to me it should be A.

From S1 we get x=0 or x=1. 0 is even in GMAT, Hence only value of x is 1, sufficient.

theory required: 1==> factorial is defined only for non negative numbers. 2==>factorial 0= 1 3==> 0 is an even number. 4==> for a product of numbers to be odd all numbers should be odd.

now in our question: statement 1: \(X!\) is odd===> this clearly means we can take only 0 or 1 but this is not sufficient. statement 2: \(X\) is even===> this alone doesnt say anything hence not sufficient.

combining both in 0 and 1 ....0 is even so sufficient.

hope it helps.

SKM
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