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12 Nov 2015, 09:10
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:14) correct
19%
(01:32)
wrong
based on 857
sessions
History
Date
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Not Attempted Yet
12 Nov 2015, 09:35
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GMATinsight
If 0 < a < b, is c < 0?
1) cb < ca
2) |c| > 1
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
Cheers,
Brent
General Discussion
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,334
Own Kudos:
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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12 Nov 2015, 09:29
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GMATinsight
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.
