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# Compare m > 0, n > 0

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 150

Kudos [?]: 2411 [1] , given: 394

Compare m > 0, n > 0 [#permalink]  11 Oct 2016, 13:02
1
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Expert's post
00:00

Question Stats:

76% (00:27) correct 23% (00:37) wrong based on 76 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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Retired Moderator
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 150

Kudos [?]: 2411 [1] , given: 394

Re: Compare m > 0, n > 0 [#permalink]  11 Oct 2016, 13:06
1
KUDOS
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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Sandy
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Kudos [?]: 2958 [2] , given: 45

Re: Compare m > 0, n > 0 [#permalink]  12 Nov 2016, 08:13
2
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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

[Reveal] Spoiler:
D

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

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