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If a , b , and c are consecutive odd integers, which express

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If a , b , and c are consecutive odd integers, which express [#permalink] New post 09 Nov 2017, 07:16
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If a, b, and c are consecutive odd integers, which expression must be odd?

Choose \(all\) that apply.

❑ \(a*(b+c)\)

❑ \((a+b) - c\)

❑ \(a*b*c\)

❑ \(2*(c-a) + b\)

❑ \(a + b + c\)
[Reveal] Spoiler: OA

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Re: If a , b , and c are consecutive odd integers, which express [#permalink] New post 09 Nov 2017, 08:30
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Let's check them one by one

❑ \(a*(b+c)\) -> odd+odd = even, odd*even = even, so it must be even

❑ \((a+b) - c\) -> odd+odd = odd, odd-odd = odd, so it must be odd

❑ \(a*b*c\) -> odd*odd = odd, so it must be odd

❑ \(2*(c-a) + b\) -> odd-odd = odd, even*odd = even, even+odd = odd, so it must be odd

❑ \(a + b + c\) -> odd+odd = even, even+odd = odd, so it must be odd

Then, the answers are B, C, D, E.
Re: If a , b , and c are consecutive odd integers, which express   [#permalink] 09 Nov 2017, 08:30
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If a , b , and c are consecutive odd integers, which express

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