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M60-07

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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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M60-07  [#permalink]

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New post 11 Jun 2018, 01:55
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (02:18) correct 43% (01:25) wrong based on 7 sessions

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If \(x > y > 0\), is \(y < 2?\)



1) \(1/x = 1/2\)

2) \((1/x)+(1/y) =1\)

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Math Revolution GMAT Instructor
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Re M60-07  [#permalink]

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New post 11 Jun 2018, 01:55
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.



Since we have 2 variables (\(x\) and \(y\)) and 1 equation \(( x > y\)), D is most likely to be the answer.



Condition 1)

\(1/x = 1/2\) implies that \(x = 2\). Since \(x > y\), we must have \(y < 2\).

Condition 1) is sufficient.



Condition 2)

The original condition \(x > y > 0\) implies that \(1/x < 1/y\).

Using \(1/x + 1/y = 1\) and \(1/x < 1/y\) together, we can see that \(1/y > 1/2\).

Thus, \(0 < y < 2\).

Condition 2) is sufficient.



Therefore, the answer is D.

Answer: D
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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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Re M60-07  [#permalink]

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New post 18 Jan 2019, 01:30
I think this is a high-quality question and I agree with explanation. good explanation
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Re: M60-07  [#permalink]

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New post 19 Feb 2019, 17:04
MathRevolution wrote:
Official Solution:





Using \(1/x + 1/y = 1\) and \(1/x < 1/y\) together, we can see that \(1/y > 1/2\).

Thus, \(0 < y < 2\).

Condition 2) is sufficient.



Therefore, the answer is D.

Answer: D


Hi, could you please expand on how the two equations result in the inequality 1/y>1/2?

Thank you
GMAT Club Bot
Re: M60-07   [#permalink] 19 Feb 2019, 17:04
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