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# What is the sum of a certain pair of consecutive odd

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What is the sum of a certain pair of consecutive odd [#permalink]

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12 Jun 2008, 04:59
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What is the sum of a certain pair of consecutive odd integers?

(1) At least one of the integers is negative.
(2) At least one of the integers is positive.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/what-is-the- ... 07654.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 14 Aug 2017, 09:44, edited 2 times in total.
Edited the question and added the OA
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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12 Jun 2008, 05:08
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C

From A The values of x and y can be anything e.g. 1 3 , 5 7 , -1 1 as long as either is positive <-- INSUFFICIENT

From B The values of x and y can also be anything as long as one of them is negative e.g. -5 -3 , -1 1 etc. <-- INSUFFICIENT

When you combine them then the only values x and y can be are -1 and 1. Hence their sum is 0. Hence SUFFICIENT.
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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12 Jun 2008, 08:58
bsd_lover wrote:
C

From A The values of x and y can be anything e.g. 1 3 , 5 7 , -1 1 as long as either is positive <-- INSUFFICIENT

From B The values of x and y can also be anything as long as one of them is negative e.g. -5 -3 , -1 1 etc. <-- INSUFFICIENT

When you combine them then the only values x and y can be are -1 and 1. Hence their sum is 0. Hence SUFFICIENT.

BSD can u please elaborate the explanation (for both statements put together) When you combine them then the only values x and y can be are -1 and 1. Hence their sum is 0.

Many thanks
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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12 Jun 2008, 09:38
vdhawan1 - These are "consecutive" odd integers. if you take any -ve odd interger other than -1, the corresponding will also be negative, so the set will not satisfy both statements. Only (-1,1) will satify both.
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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08 Oct 2013, 01:58
durgesh79 wrote:
vdhawan1 - These are "consecutive" odd integers. if you take any -ve odd interger other than -1, the corresponding will also be negative, so the set will not satisfy both statements. Only (-1,1) will satify both.

Can someone expain, why the set (-5, -3,-1,1) can't be taken? It has both"Atleast one -ve" and "one +ve odd integer", and is a pair of consecutive odd integers.
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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08 Oct 2013, 02:07
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asingh203 wrote:
durgesh79 wrote:
What is the sum of a certain pair of consecutive odd integers?

(1) At least one of the integers is negative.
(2) At least one of the integers is positive.

vdhawan1 - These are "consecutive" odd integers. if you take any -ve odd interger other than -1, the corresponding will also be negative, so the set will not satisfy both statements. Only (-1,1) will satify both.

Can someone expain, why the set (-5, -3,-1,1) can't be taken? It has both"Atleast one -ve" and "one +ve odd integer", and is a pair of consecutive odd integers.

That's because we have a pair of consecutive odd integers, so 2 integers only.

Does this make sense?
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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09 Oct 2013, 10:08
Bunuel wrote:
asingh203 wrote:
durgesh79 wrote:
What is the sum of a certain pair of consecutive odd integers?

(1) At least one of the integers is negative.
(2) At least one of the integers is positive.

vdhawan1 - These are "consecutive" odd integers. if you take any -ve odd interger other than -1, the corresponding will also be negative, so the set will not satisfy both statements. Only (-1,1) will satify both.

Can someone expain, why the set (-5, -3,-1,1) can't be taken? It has both"Atleast one -ve" and "one +ve odd integer", and is a pair of consecutive odd integers.

That's because we have a pair of consecutive odd integers, so 2 integers only.

Does this make sense?
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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20 Dec 2015, 10:34
"What is the integer". we need to find the value.

There are multiple values when the two statements are independently considered. Hence, both alone are insufficient. Done away with options A,B D

Considering the two, there is only one pair of consecutive negative and positive odd numbers i.e. -1 and +1. Sum is 0

C
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Re: What is the sum of a certain pair of consecutive odd [#permalink]

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14 Aug 2017, 09:44
What is the sum of a certain pair of consecutive odd integers?

(1) At least one of the integers is negative --> infinite pairs are possible: ... (-3, -1); (-17, -15); ... (-1, 1); ... Not sufficient.
(2) At least one of the integers is positive --> infinite pairs are possible: ... (3, 5); (19, 21); ... (-1, 1); ... Not sufficient.

(1)+(2) One odd integer must be positive and another negative. As they are consecutive odd integers, there is only one pair possible (-1, 1) --> -1+1=0. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/what-is-the- ... 07654.html
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Re: What is the sum of a certain pair of consecutive odd   [#permalink] 14 Aug 2017, 09:44
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