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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6810
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the value of (x+3y)/(3x-y)?  [#permalink]

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05 Feb 2018, 01:12
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Difficulty:

35% (medium)

Question Stats:

69% (01:23) correct 31% (01:59) wrong based on 41 sessions

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[GMAT math practice question]

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

$$1) x-2y = 1$$
$$2) x-2y = 0$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" DS Forum Moderator Joined: 21 Aug 2013 Posts: 1429 Location: India Re: What is the value of (x+3y)/(3x-y)? [#permalink] ### Show Tags 05 Feb 2018, 07:05 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 Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6810 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the value of (x+3y)/(3x-y)? [#permalink] ### Show Tags 06 Feb 2018, 23:45 => 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: What is the value of (x+3y)/(3x-y)?  [#permalink]

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07 Feb 2018, 02:55
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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07 Feb 2018, 04:23
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)? &nbs [#permalink] 07 Feb 2018, 04:23
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