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Is a = b c? (1) c = a + b (2) a < 0

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Is a = b c? (1) c = a + b (2) a < 0 [#permalink] New post 22 Jul 2010, 12:06
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65% (01:58) correct 35% (01:02) wrong based on 111 sessions
Is ┃a┃ = b – c?

(1) c = a + b

(2) a < 0
[Reveal] Spoiler: OA

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Re: DS question [#permalink] New post 22 Jul 2010, 12:29
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aiming4mba wrote:
Is ┃a┃ = b – c?

(1) c = a + b

(2) a < 0


If \(a<0\) it must be true that \(-a=b-c\);
If \(a\geq{0}\) it must be true that \(a=b-c\).

(1) \(c=a+b\) --> \(-a=b-c\). But we don't know whether \(a<0\). Not sufficient.
(2) \(a<0\). Question becomes is \(-a=b-c\)? We don't know that. Not sufficient.

(1)+(2) Form 2: \(a<0\), question becomes is \(-a=b-c\)? Statement 1 confirms this. Sufficient.

Answer: C. (similar topic: abs-equation-from-gmatprep-84821.html)
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Re: DS question [#permalink] New post 22 Jul 2010, 14:25
aiming4mba wrote:
Is ┃a┃ = b – c?

(1) c = a + b

(2) a < 0



why not (A)?

-a = b-c
therefore b-c = |a|......
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Re: DS question [#permalink] New post 22 Jul 2010, 15:06
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Quote:
why not (A)?

-a = b-c
therefore b-c = |a|......


If b-c=-a, then lal=-(b-c), or c-b=lal, which does not answer our original question, b-c=lal.

Thanks,

Jared
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Re: Is a = b c? (1) c = a + b (2) a < 0 [#permalink] New post 10 Oct 2012, 11:06
Is this approach correct?

For ┃a┃ = b – c to be true , (b - c ) >=0 ie positive

(1) c = a + b : for (b - c ) >=0 to be true a needs to be <=0. Not given, hence insufficient
(2) a < 0, says nothing about (b - c ) >=0 Hence insufficient
(1)+(2) proves b - c>=0. Sufficient.
Re: Is a = b c? (1) c = a + b (2) a < 0   [#permalink] 10 Oct 2012, 11:06
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