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# Is the sum of a certain pair of integers odd?

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Director
Joined: 06 Jan 2015
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Is the sum of a certain pair of integers odd?  [#permalink]

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31 Mar 2019, 05:48
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5% (low)

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91% (00:40) correct 9% (00:55) wrong based on 64 sessions

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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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31 Mar 2019, 07:57
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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10 Jul 2019, 20:12
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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03 Aug 2019, 02:15
Why we are not considering Negative integers in this question ?
VP
Joined: 14 Feb 2017
Posts: 1369
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 650 Q48 V31
GMAT 6: 600 Q38 V35
GMAT 7: 710 Q47 V41
GPA: 3
WE: Management Consulting (Consulting)
Re: Is the sum of a certain pair of integers odd?  [#permalink]

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03 Aug 2019, 02:39
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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03 Aug 2019, 10:43
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, 10:43