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# Is the largest of three consecutive integers odd?

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Intern
Joined: 27 Feb 2012
Posts: 37
Is the largest of three consecutive integers odd?  [#permalink]

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29 Nov 2012, 07:30
2
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Difficulty:

25% (medium)

Question Stats:

70% (01:06) correct 30% (01:00) wrong based on 160 sessions

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Is the largest of three consecutive integers odd?

(1) The product of the three integers is 0.
(2) The sum of the three integers is 0.
Manager
Joined: 22 Dec 2011
Posts: 226
Re: Is the largest of three consecutive integers odd?  [#permalink]

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29 Nov 2012, 07:38
1
jsphcal wrote:
Is the largest of three consecutive integers odd?

(1) The product of the three integers is 0.

(2) The sum of the three integers is 0.

Hi - I guess we can test cases.

A/ 3 consecutive integers be -1,0,1 or 0,1,2 so we get a YES and a NO
B/ If the sum of 3 consecutive integers is zero then the set must be symmetric so -1,0,1
So we a get a definite yes for this question so Sufficient.

Cheers
Intern
Joined: 03 Jan 2017
Posts: 19
Location: India
Concentration: Finance, Economics
Re: Is the largest of three consecutive integers odd?  [#permalink]

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09 Sep 2017, 03:55
I need a suggestion on this one guys.

1 and 2 are not sufficient we can determine that by looking at it since either one misses out detail about one or the other one.

For together can we add the inequalities?

if we add the inequalities we get x-z<3 and now we know the range cannot be determined if it is less than 2.

Is this approach correct?

Re: Is the largest of three consecutive integers odd?   [#permalink] 09 Sep 2017, 03:55
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