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Re: If A,B,C are three integers and AB+C is even ; which of the following
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03 Aug 2016, 04:49

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3

stonecold wrote:

If A,B,C are three integers and AB+C is even ; which of the following must be true? A) A+C is even B) B+C is even C) ABC is even

1) Only C 2) Both A and B 3) Both B and C 4) All of them 5) None of them

The question asks what MUST be true. So, we can ELIMINATE any answer choice where we can find an example that makes the statement false.

A) A+C is even If A = 1, B = 2 and C = 2, then the given statement (AB+C is even) is true. HOWEVER, statement A is FALSE since A + C = 1 + 2 = 3, and 3 is NOT even. Since statement A is not necessarily true, we can ELIMINATE answer choices 2 and 4

IMPORTANT: Answer choices 1 and 3 both suggest that statement C is true. So, let's check C

C) ABC is even If A = 1, B = 1 and C = 1, then the given statement (AB+C is even) is true. HOWEVER, statement C is FALSE since ABC = (1)(1)(1) = 1, and 1 is NOT even. Since statement C is not necessarily true, we can ELIMINATE answer choices 1 and 3

Re: If A,B,C are three integers and AB+C is even ; which of the following
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26 Feb 2018, 04:41

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