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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8023
GMAT 1: 760 Q51 V42 GPA: 3.82
If a, b, c are integers, is a+b+c an odd number? 1) a+b=odd 2) a+c=odd  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 65% (01:44) correct 35% (01:18) wrong based on 184 sessions

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If a, b, c are integers, is a+b+c an odd number?

1) a+b=odd
2) a+c=odd

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Manager  B
Joined: 28 Jun 2016
Posts: 214
Concentration: Operations, Entrepreneurship
Re: If a, b, c are integers, is a+b+c an odd number? 1) a+b=odd 2) a+c=odd  [#permalink]

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MathRevolution wrote:
If a, b, c are integers, is a+b+c an odd number?

1) a+b=odd
2) a+c=odd

Statement 1:

Insufficient

Statement 2:

Insufficient

Statement 1&2:

If a is even,

Then a+b+c=even No

If a is odd,

Then a+b+c=odd Yes

Insufficient

E

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GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4015
Re: If a, b, c are integers, is a+b+c an odd number? 1) a+b=odd 2) a+c=odd  [#permalink]

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1
Top Contributor
MathRevolution wrote:
If a, b, c are integers, is a+b+c an odd number?

1) a+b=odd
2) a+c=odd

Target question: Is a+b+c an odd number?

Statement 1: a+b=odd
No information about c
Statement 1 is NOT SUFFICIENT

Statement 2: a+c=odd
No information about b
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: a = 1, b = 2 and c = 2. In this case, a+b+c = 1+2+2 = 5, and 5 is ODD
Case b: a = 2, b = 1 and c = 1. In this case, a+b+c = 2+1+1 = 4, and 4 is EVEN
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8023
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: If a, b, c are integers, is a+b+c an odd number? 1) a+b=odd 2) a+c=odd  [#permalink]

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==>In the original condition, there are 3 variables (a,b,c), so E is highly likely to be the answer. Through 1) & 2), if (a,b,c)=(1,2,2), it is yes, but if (a,b,c)=(2,1,1), it is no, hence not sufficient. The answer is E.

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Re: If a, b, c are integers, is a+b+c an odd number? 1) a+b=odd 2) a+c=odd  [#permalink]

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_________________ Re: If a, b, c are integers, is a+b+c an odd number? 1) a+b=odd 2) a+c=odd   [#permalink] 27 Sep 2018, 03:00
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