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Compare m > 0, n > 0

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1 KUDOS received
GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1615 [1] , given: 376

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Compare m > 0, n > 0 [#permalink] New post 11 Oct 2016, 13:02
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Question Stats:

77% (00:28) correct 22% (00:27) wrong based on 31 sessions
m > 0, n > 0

Quantity A
Quantity B
m/mn
n/mn


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Drill 1
Question: 11
Page: 284
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1615 [0], given: 376

CAT Tests
Re: Compare m > 0, n > 0 [#permalink] New post 11 Oct 2016, 13:06
Expert's post
Explanation

Time to Plug In! If you make m = 2 and n = 3, then Quantity A becomes \(\frac{2}{2*3}=\frac{1}{3}\), and Quantity B becomes \(\frac{3}{2*3}=\frac{1}{2}\). Quantity B is bigger; eliminate choices (A) and (C). However, if you make and n = 2, then the situation is reversed: Quantity A will be \(\frac{1}{2}\), and Quantity B will be \(\frac{1}{3}\). Eliminate choice (B); the answer must be choice D.
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GRE Instructor
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Re: Compare m > 0, n > 0 [#permalink] New post 12 Nov 2016, 08:13
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Expert's post
sandy wrote:
m > 0, n > 0

Quantity A
Quantity B
m/mn
n/mn



Let's use the matching operations approach
NOTE: since m > 0 and n > 0, we can be certain that mn > 0 (that is mn is POSITIVE)

Given:
Quantity A: m/mn
Quantity B: n/mn

Multiply both sides by mn to get:
Quantity A: m
Quantity B: n

The given info only tells us that m and n are both positive.
So, there's no way to tell which quantity is greater

Answer:
[Reveal] Spoiler:
D


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Re: Compare m > 0, n > 0   [#permalink] 12 Nov 2016, 08:13
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