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# If a , b , and c are consecutive integers, which of the

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Manager
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If a , b , and c are consecutive integers, which of the [#permalink]  12 Aug 2008, 21:36
If $$a$$ , $$b$$ , and $$c$$ are consecutive integers, which of the following can be true?

I. $$abc$$ is divisible by 6

II. $$a + c - b$$ is odd

III. $$\frac{c}{a} > b$$

* I only
* I and II only
* I and III only
* II and III only
* I, II, and III
Director
Joined: 23 Sep 2007
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Re: Consecutive [#permalink]  12 Aug 2008, 22:04
aaron22197 wrote:
If $$a$$ , $$b$$ , and $$c$$ are consecutive integers, which of the following can be true?

I. $$abc$$ is divisible by 6

II. $$a + c - b$$ is odd

III. $$\frac{c}{a} > b$$

* I only
* I and II only
* I and III only
* II and III only
* I, II, and III

E

any of the choices "can be true"
SVP
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Re: Consecutive [#permalink]  13 Aug 2008, 03:52
yeah this is a weird question ... any of them "can" be true , but only A is true all of the time
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Re: Consecutive [#permalink]  13 Aug 2008, 05:10
I think that's a good distinction to make and it's a good (but weird) question. We're so used to answering "must be true" questions, that we might not answer this correctly because we miss the "can" part of the question.
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J Allen Morris
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Manager
Joined: 23 Apr 2008
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Re: Consecutive [#permalink]  13 Aug 2008, 22:05
'CAN BE TRUE' makes all the difference
GOOD TO C SOMETHING UNORTHODOX..LOL!!

IMO E
Manager
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Re: Consecutive [#permalink]  14 Aug 2008, 08:50
Well I'd be a fool if I'd try to preach a cliche'd good practice : READ THE QUESTION TWICE BEFORE ATTEMPTING IT.

huh!! I got it wrong in the first shot, anyways answer is E.
Re: Consecutive   [#permalink] 14 Aug 2008, 08:50
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