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Math Expert V
Joined: 02 Sep 2009
Posts: 62456
Is the largest of three consecutive integers odd?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 73% (00:54) correct 27% (00:58) wrong based on 37 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.

Project DS Butler Data Sufficiency (DS3)

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GMATWhiz Representative G
Joined: 07 May 2019
Posts: 415
Location: India
Re: Is the largest of three consecutive integers odd?  [#permalink]

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Bunuel 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.

Project DS Butler Data Sufficiency (DS3)

Solution

Step 1: Analyse Question Stem

We need to see whether the largest of three consecutive integers is odd or not.

Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE

Statement 1: The product of three integers is 0.
• It means one of the integers is 0, then only the product will be 0.
o If integers are -1, 0, and 1, then the largest integer will be Odd.
o If integers are 0, 1, and 2, then the largest integer will be Even.
Hence, statement 1 is not sufficient, we can eliminate answer options A and D
Statement 2: The sum of three integers is 0.
• It means at least one of the integers is negative and the other is positive.
• It is only possible when integers are -1, 0, and 1.
o The largest integer is an odd integer.
Hence, statement 2 is sufficient, the correct answer is Option B.
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Is the largest of three consecutive integers odd?  [#permalink]

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Is the largest of three consecutive integers odd?

Statement 1: The product of the three integers is 0.
If the product is 0 then the 3 integers can be
{-2, -1, 0} or {-1, 0, 1} or {0, 1, 2}
but we cannot determine which one is the largest integer.
Not Sufficient

Statement 2: The sum of the three integers is 0.
If the sum of 3 consecutive integers is 0 then 3 integers can be:
{-1, 0, 1} - No any other combination will suffice the condition.
Largest integer is 1 which is odd.
Sufficient

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Joined: 20 Jul 2017
Posts: 1501
Location: India
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Re: Is the largest of three consecutive integers odd?  [#permalink]

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(1) The product of the three integers is 0.
Case 1: 0*1*2 --> Largest = Even
Case 2: -1*0*1 --> Largest = Odd
--> Insufficient

(2) The sum of the three integers is 0.
Only 1 case is possible: -1 + 0 + 1 = 0 --> Largest = 1 (Odd) --> Sufficient

Option B
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Joined: 28 May 2014
Posts: 29
Location: Singapore
Concentration: Strategy
GMAT 1: 590 Q44 V27
Re: Is the largest of three consecutive integers odd?  [#permalink]

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1
Bunuel 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.

Project DS Butler Data Sufficiency (DS3)

Given : Three consecutive INTEGERS x, (x+1) and (x+2)
To Find : Is (x+2)=Odd?
or is x=Odd? ( because Odd-2= Odd-Even=Odd)

St1: (x)(x+1)(x+2)=0
we could have the following possibility {0,1,2} , {-1,0,1}, {-2,-1,0} where x=0(Even) or -1(Odd) or -2 (Even)
Not Sufficient

St 2: x + x+1 + x+ 2=0
3x +3 =0
x=-1 -->Odd
Sufficient

Ans: (B) Re: Is the largest of three consecutive integers odd?   [#permalink] 29 Feb 2020, 01:08
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# Is the largest of three consecutive integers odd?  