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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.
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