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Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a

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Bunuel
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Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   25 Jul 2018, 21:42
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A
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D
E

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73% (00:56) correct 27% (01:01) wrong based on 277 sessions
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Is |a| = |c|?

(1) a + b = b–c
(2) –c ≠ –a
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A
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StudiosTom
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Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   Updated on: 25 Jul 2018, 22:16
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Consider a=2,c=-2
Statement1 :consider b as any number,suppose b=3
2+3=5
3-(-2)=5

Consider b=-3
2+(-3)=-1
-3-(-2)=-1
Sufficient

Statement 2:
–c ≠ –a, simplified a≠c
In our assumption this is satisfied and |a| = |c| answer is yes,
but if a=4 and c=2 , a≠c but |a|=|c| answer is No
So this is inconclusive.
Insufficient
Ans:A

Originally posted by StudiosTom on 25 Jul 2018, 21:51.
Last edited by StudiosTom on 25 Jul 2018, 22:16, edited 1 time in total.
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Re: Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   02 Aug 2018, 10:33
Shouldn't it be D since a≠c implies that |a| ≠ |c| for any values of a and c ? Please correct me if I'm wrong.
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Bunuel
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Re: Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   02 Aug 2018, 10:43
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MRoy1202 wrote:
Shouldn't it be D since a≠c implies that |a| ≠ |c| for any values of a and c ? Please correct me if I'm wrong.


c ≠ a does not necessarily mean that |a| ≠ |c|. For example, -1 ≠ 1 but |-1| = |1|.
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Re: Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   16 Nov 2019, 05:59
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Is |a| = |c|?

(1) a + b = b–c
(2) –c ≠ –a

(1) -----

a+b = b-c
=> a = -c
=> |a| = |-c| , putting both side mod
=> |a| = |c| , since any value inside mod is non-negative. SUFFICIENT

(2) -----
–c ≠ –a
=> a≠c
=> |a| ≠ |c| . NOT SUFFICIENT
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Re: Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   10 Jan 2020, 04:57
MRoy1202 wrote:
Shouldn't it be D since a≠c implies that |a| ≠ |c| for any values of a and c ? Please correct me if I'm wrong.



Its true for +ve and -ve values of a number
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Re: Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink] New post   10 Jan 2020, 08:08
Is |a|=|c|?

1) a = –c --> |a|=|-c|=|c|
SUFFICIENT

2) –c ≠ –a
If c=2 and a=-2, then –c ≠ –a but |a|=|c|.
If c=2 and a=1, then –c ≠ –a and |a|≠|c|
NOT SUFFICIENT

FINAL ANSWER IS (A)

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Re: Is |a| = |c|? (1) a + b = b–c (2) –c ≠ –a [#permalink]
10 Jan 2020, 08:08
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