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DS  [#permalink]

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New post 28 Sep 2018, 14:15
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Question Stats:

80% (00:58) correct 20% (01:53) wrong based on 5 sessions

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If a,b,c are integers such that ab+c is an odd integer, is a an even integer?

(1) ab+ac is an even integer

(2) b+ac is an odd integer
Director
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Re: DS  [#permalink]

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New post 28 Sep 2018, 14:26
rahulsri459 wrote:
If a,b,c are integers such that ab+c is an odd integer, is a an even integer?

(1) ab+ac is an even integer

(2) b+ac is an odd integer



From question stem we know ab+c is odd

It means we have two cases

ab = odd and c = even or ab = even and c = odd.

For statement 1)

We know ab+c = odd

Since ab+ac = even it must be that a is even

Sufficient.

Statement 2)

b + ac is odd
Could be that b is even and ac is odd or b is odd and ac is even

Not enough.

Answer choice A

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Re: DS  [#permalink]

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New post 28 Sep 2018, 21:17
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Re: DS   [#permalink] 28 Sep 2018, 21:17
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