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If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1

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If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1  [#permalink]

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New post 12 Nov 2015, 09:10
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (00:58) correct 24% (01:12) wrong based on 316 sessions

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If 0 < a < b, is c < 0?
1.cb < ca
2.|c| > 1

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Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1  [#permalink]

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New post 12 Nov 2015, 09:35
5
1
GMATinsight wrote:
If 0 < a < b, is c < 0?

1) cb < ca
2) |c| > 1


Slightly different solution:

Target question: Is c < 0?

Given: 0 < a < b

Statement 1: cb < ca
Subtract ca from both sides to get: cb - ca < 0
Factor: c(b - a) < 0
IMPORTANT: if a < b, we can be certain that (b - a) is POSITIVE.
So, we can divide both sides of the inequality by (b - a) to get: c < 0
PERFECT!
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: |c| > 1
There are several values of c that satisfy statement 2. Here are two:
Case a: c = -2, in which case c < 0
Case b: c = 2, in which case c > 0
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

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Brent
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Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1  [#permalink]

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New post 12 Nov 2015, 09:29
GMATinsight wrote:
If 0 < a < b, is c < 0?
1.cb < ca
2.|c| > 1

http://www.GMATinsight.com


GIven , b>a , is c<0?

Per statement 1, cb<ca --> cb-ca<0---> c(b-a) < 0 only possible for c<0 as b>a --> b-a>0. Sufficient.

Per statement 2, |c| >1 ---> c<-1 or c>1, making this statement not sufficient.

A is thus the correct answer.
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Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1  [#permalink]

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New post 02 Mar 2017, 20:43
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Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 &nbs [#permalink] 02 Mar 2017, 20:43
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