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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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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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New post 01 Nov 2016, 01:15
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E

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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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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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New post 01 Nov 2016, 07:47
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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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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New post 01 Nov 2016, 10:58
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

Answer:

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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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New post 03 Nov 2016, 01:25
==>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.

Answer 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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