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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]  09 Nov 2017, 07:16
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Question Stats:

78% (00:40) correct 21% (00:35) wrong based on 14 sessions

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]  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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