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Updated on: 20 Oct 2021, 01:43
Originally posted by Archit3110 on 20 Oct 2021, 01:31.
Last edited by Bunuel on 20 Oct 2021, 01:43, edited 1 time in total.
Last edited by Bunuel on 20 Oct 2021, 01:43, edited 1 time in total.
Renamed the topic.
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C
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Difficulty:
35%
(medium)
Question Stats:
69% (01:40) correct
31%
(02:00)
wrong
based on 177
sessions
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Assume that neither x nor y is equal to 0, to permit division by x and by y.
What is the ratio x:y:z?
(1) x + y = 2z
(2) 2x + 3y = z
What is the ratio x:y:z?
(1) x + y = 2z
(2) 2x + 3y = z
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
20 Oct 2021, 07:03
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Archit3110
Breaking Down the Info:
We need two of the three ratios: "x:y", "y:z", or "x:z", in order to build the \(x:y:z\) ratio.
Rephrase the question:
Can we find two of the following: "x:y", "y:z", or "x:z" ?
Statement 1 Alone:
We cannot deduct any simple ratios from this equation, so this is insufficient.
Statement 2 Alone:
We cannot deduct any simple ratios from this equation, so this is insufficient.
Both Statements Combined:
\((2) - 2*(1)\) gives: \(y = -3z\), which is one of the desired ratios.
\(3*(1) - (2)\) gives: \(x = 5z\), which is another of the desired ratios.
Then we have found enough parts to build \(x:y:z\), therefore combined it is sufficient.
Answer: C
23 Nov 2024, 00:31
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