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Is the sum of a certain pair of integers odd?

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Is the sum of a certain pair of integers odd?  [#permalink]

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New post 31 Mar 2019, 06:48
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A
B
C
D
E

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Is the sum of a certain pair of integers odd?

(1) The difference between the integers is odd.
(2) One of the integers is even and the other is odd.

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Re: Is the sum of a certain pair of integers odd?  [#permalink]

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New post 31 Mar 2019, 08:57
Addition and subtraction follow the same even/odd rules (because adding is the same thing as subtracting -- when you subtract, it's the same thing as adding a negative number). So any time a and b are integers and a-b is odd, a+b will also be odd, and Statement 1 is sufficient. Statement 2 is clearly sufficient, so the answer is D.
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Re: Is the sum of a certain pair of integers odd?  [#permalink]

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New post 10 Jul 2019, 21:12
Odd +/- Odd = even
Even +/- Even = even
Even +/- Odd = Odd

We are told
Stat.(1) A- b = odd, therefore as per the 3rd scenario above A+b must be even
Sufficient

Stat.(2) describes scenario 3 above
sufficient
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Re: Is the sum of a certain pair of integers odd?  [#permalink]

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New post 03 Aug 2019, 03:15
Why we are not considering Negative integers in this question ?
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Re: Is the sum of a certain pair of integers odd?  [#permalink]

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New post 03 Aug 2019, 03:39
rahul1121 wrote:
Why we are not considering Negative integers in this question ?


Even if you do try negative numbers it’ll produce the same effect.

Plug-in some numbers

Posted from my mobile device
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Re: Is the sum of a certain pair of integers odd?  [#permalink]

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New post 03 Aug 2019, 11:43
rahul1121 wrote:
Why we are not considering Negative integers in this question ?


Negative numbers follow the same even/odd rules as positive numbers. There's never any reason, in an even/odd question, to consider negative numbers separately, since you won't learn anything from them that you don't already learn just by looking at positive numbers.
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Re: Is the sum of a certain pair of integers odd?   [#permalink] 03 Aug 2019, 11:43
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