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Could you please explain this for me? I am posting only one part of a DS question.
Is integer x odd? (1) x/2 is NOT an even integer.
My answer: (1) is sufficient.
Since 2 is an even integer, there are two situations either [even/even = even] as in 12/2 = 6 or [even/even = odd] as in 10/2 = 5.
Back to the answer: x/2 = NOT an even int, which means x/2 = odd integer. In that case x can be 10, 14, 18 or so.....and x is EVEN. So the answer for this first part is confirmed NO which means (1) is sufficient.
Last night I thought about this question and found it was a trap question. NOT is included to make it a trap question.
When we think of a number in general way, 3 types of numbers come to our mind: even int, odd int or a fraction. "NOT an even int" means we deduce the first choice of the three types I listed, therefore it can be an odd int or a fraction.
Is anybody agree with me?
Anyways, the correct answer is (1) is NOT SUFFICIENT.