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If m – n > 3, then which of the following must be true?

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1612 [0], given: 375

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If m – n > 3, then which of the following must be true? [#permalink] New post 18 Mar 2018, 06:23
Expert's post
00:00

Question Stats:

10% (00:00) correct 90% (01:01) wrong based on 10 sessions
If m – n > 3, then which of the following must be true?
Indicate all possible values.

A. m is an integer
B. n is an integer
C. m > n
D. m + n > 0
E. m – n > 0
F. m × n > 0
G. m ÷ n > 0

Drill 2
Question: 12
Page: 499
[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: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: If m – n > 3, then which of the following must be true? [#permalink] New post 21 Mar 2018, 13:58
Expert's post
Explanation

Try plugging in values for m and n to the inequality in the question.

If m = 5 and n = 1, both numbers are integers, so choices (A) and (B) work as do all of the other choices.

But what if m and n are negative decimals, say –2.3 and –6.3? Then choices (A) and (B) don’t work, since neither number is an integer; eliminate them.

Choice (C) still works.

Choice (D) is out, since the sum of the two numbers is negative, but the difference is positive, leaving choice (E) in.

Choices (F) and (G) also still work. However, by switching m to a positive value, such as 5, you can knock out choices (F) and (G). Only choices (C) and (E) will work no
matter what numbers you plug in.
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Sandy
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Re: If m – n > 3, then which of the following must be true?   [#permalink] 21 Mar 2018, 13:58
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If m – n > 3, then which of the following must be true?

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