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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.
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Re: If a , b , and c are consecutive odd integers, which express [#permalink] New post 22 Jan 2019, 07:13
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Carcass wrote:



If a, b, and c are consecutive odd integers, which expression must be odd?

Choose \(all\) that apply.

A) \(a*(b+c)\)

B) \((a+b) - c\)

C) \(a*b*c\)

D) \(2*(c-a) + b\)

E) \(a + b + c\)


To solve this question, we can EITHER apply the rules for ODDS and EVENS (as IlCreatore has done) or we can plug in 3 consecutive ODD integers for a, b and c
How about a = 1, b = 3 and c = 3

We get:

A) \(1*(3+5) = 8\), which is EVEN. ELIMINATE.

B) \((1+3) - 5 = -1\), which is ODD. KEEP!

C) \(1*3*5 = 15\), which is ODD. KEEP!

D) \(2*(5-1) + 3 = 11\), which is ODD. KEEP!

E) \(1 + 3 + 5 = 9\), which is ODD. KEEP!

Answer: B, C, D, E

Cheers,
Brent
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Re: If a , b , and c are consecutive odd integers, which express   [#permalink] 22 Jan 2019, 07:13
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If a , b , and c are consecutive odd integers, which express

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