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What is the value of (x+3y)/(3x-y)?

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What is the value of (x+3y)/(3x-y)? [#permalink]

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New post 05 Feb 2018, 02:12
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[GMAT math practice question]

What is the value of \(\frac{(x+3y)}{(3x-y)}\)?

\(1) x-2y = 1\)
\(2) x-2y = 0\)
[Reveal] Spoiler: OA

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Re: What is the value of (x+3y)/(3x-y)? [#permalink]

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New post 05 Feb 2018, 08:05
MathRevolution wrote:
[GMAT math practice question]

What is the value of \(\frac{(x+3y)}{(3x-y)}\)?

\(1) x-2y = 1\)
\(2) x-2y = 0\)


(1) x-2y = 1 or x = 1+2y
Substituting this value of x in the fraction,

(1+2y + 3y) / [3(1+2y) - y] = (1 + 5y) / (3 + 5y)
But we cannot find this till we know the value of y. So not sufficient.


(2) x-2y = 0 or x = 2y
Substituting this in the fraction,

(2y + 3y) / (3*2y - y) = 5y/5y = 1. This is sufficient.


Hence B answer
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Re: What is the value of (x+3y)/(3x-y)? [#permalink]

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New post 07 Feb 2018, 00:45
=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

When the question asks for a ratio, a fraction, a percent, a proportion or a rate, if one of conditions provides a ratio and the other condition provides a number, the condition with a ratio could be sufficient.

This question asks for a ratio.
Condition 1) provides a number and condition 2) provides the ratio, x/y = 2.
Thus, condition 2) is likely to be sufficient.

Condition 1) :
If \(x = 3\) and \(y = 1\), then \(\frac{(x+3y)}{(3x-y)}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)
If \(x = 5\) and \(y = 2\), then \(\frac{(x+3y)}{(3x-y)}\) = \(\frac{16}{13}\)
Since we do not obtain a unique answer, condition 1) is not sufficient.

Condition 2) :
Since \(x = 2y\), \(\frac{(x+3y)}{(3x-y)} = \frac{5y}{5y} = 1\).
Condition 2) is sufficient.

Therefore, B is the answer.

Answer: B
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Re: What is the value of (x+3y)/(3x-y)? [#permalink]

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New post 07 Feb 2018, 03:55
Is this DS question valid? Both statements contradict each other.?

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Re: What is the value of (x+3y)/(3x-y)? [#permalink]

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New post 07 Feb 2018, 05:23
vishalkazone wrote:
Is this DS question valid? Both statements contradict each other.?

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No it's not. On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other or the stem. The question is flawed.
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Re: What is the value of (x+3y)/(3x-y)?   [#permalink] 07 Feb 2018, 05:23
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