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M60-21

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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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M60-21  [#permalink]

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New post Updated on: 05 Aug 2018, 22:55
00:00
A
B
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D
E

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0% (00:00) correct 100% (01:24) wrong based on 1 sessions

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If 3x - y ≠ 0, what is the value of (x+3y)/(3x-y)?

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

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

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Originally posted by MathRevolution on 11 Jun 2018, 06:48.
Last edited by MathRevolution on 05 Aug 2018, 22:55, edited 1 time in total.
Math Revolution GMAT Instructor
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Re: M60-21  [#permalink]

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New post 11 Jun 2018, 06:49
1
Official Solution:



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 \((x+3y)/(3x-y) = 6/8 = 3/4\)

If \(x = 5\) and \(y = 2\), then \((x+3y)/(3x-y) = 16/13\)

Since we do not obtain a unique answer, condition 1) is not sufficient.



Condition 2) :

Since \(x = 2y\), \((x+3y)/(3x-y) = 5y/5y = 1\).

Condition 2) is sufficient.



Therefore, B is the answer.



Answer: B
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Re: M60-21  [#permalink]

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New post 04 Aug 2018, 00:43
MathRevolution wrote:
What is the value of (x+3y)/(3x-y)?

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

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


I have a doubt.

from condition 2) one solution for x and y can be x = y = 0

In this case original expression - (x+3y)/(3x-y) can not have answer.

Pl clarify.

Bunuel chetan2u ScottTargetTestPrep
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Re: M60-21 &nbs [#permalink] 04 Aug 2018, 00:43
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