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If A,B,C are three integers and AB+C is even ; which of the following
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06 Jul 2021, 08:04
06 Jul 2021, 08:04
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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
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
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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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06 Jul 2021, 09:08
06 Jul 2021, 09:08
Carcass 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
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
This leaves only one answer choice: 5 (aka E)
gmatclubot
Re: If A,B,C are three integers and AB+C is even ; which of the following [#permalink]
06 Jul 2021, 09:08
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