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16 Apr 2020, 21:55
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C
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Difficulty:
55%
(hard)
Question Stats:
53% (01:25) correct
47%
(01:53)
wrong
based on 145
sessions
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Not Attempted Yet
If 2abc ≠ 0, is \(\frac{2}{a}\) > \(\frac{b}{c}\) ?
(1) 2c > ab
(2) ac > 0
(1) 2c > ab
(2) ac > 0
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
Updated on: 16 Apr 2020, 22:11
Originally posted by GMATinsight on 16 Apr 2020, 22:09.
Last edited by GMATinsight on 16 Apr 2020, 22:11, edited 1 time in total.
Last edited by GMATinsight on 16 Apr 2020, 22:11, edited 1 time in total.
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CAMANISHPARMAR
Question: is \(\frac{2}{a}\) > \(\frac{b}{c}\) ?
RULE: Never cross multiply in inequality till the signs of variables are known because
- Negative variable (multiplication both sides of inequation or) going from one side to other during cross multiplication requires Inequality sign to change (flip)
- Positive variable cross multiplication (multiplication both sides of inequation) doesn't require change of inequality sign
- Negative variable (multiplication both sides of inequation or) going from one side to other during cross multiplication requires Inequality sign to change (flip)
- Positive variable cross multiplication (multiplication both sides of inequation) doesn't require change of inequality sign
Statement 1: 2c > ab
Dividing both sides by ac
If ca > 0 then \(\frac{2}{a}\) > \(\frac{b}{c}\) i.e. YES
If ca < 0 then \(\frac{2}{a}\) < \(\frac{b}{c}\) i.e. NO
Hence
NOT SUFFICIENT
STatement 2: ac > 0
NOT SUFFICIENT
COmbining statements
Since ca > 0 and 2c > ab
Dividing both sides by ca (Inequality sign won't change as we are dividing by positive value)
then \(\frac{2}{a}\) > \(\frac{b}{c}\) i.e. YES
SUFFICIENT
Answer: Option C
16 Apr 2020, 22:11
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a,b,c#0
Is 2/a>b/c?
Is 2/a-b/c>0
Is (2c-ab)/ac>0?
For this expression to be true, both numerator and denominator have to be greater than 0 or both have to be smaller than 0.
Statement 1: 2c>ab
ac can be greater or less than 0
Insufficient
Statement 2: ac>0
No info about 2c-ab
Insufficient
Both statements together:
2c-ab>0 and ac>0
Sufficient
C
Posted from my mobile device
Is 2/a>b/c?
Is 2/a-b/c>0
Is (2c-ab)/ac>0?
For this expression to be true, both numerator and denominator have to be greater than 0 or both have to be smaller than 0.
Statement 1: 2c>ab
ac can be greater or less than 0
Insufficient
Statement 2: ac>0
No info about 2c-ab
Insufficient
Both statements together:
2c-ab>0 and ac>0
Sufficient
C
Posted from my mobile device
