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# If |m-n|=3, is m>n?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6981
GMAT 1: 760 Q51 V42
GPA: 3.82

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31 Oct 2016, 01:34
00:00

Difficulty:

55% (hard)

Question Stats:

61% (02:02) correct 39% (02:19) wrong based on 144 sessions

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If |m-n|=3, is m>n?

1) mn<0
2) The distance between m and 0 is 2

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Manager
Joined: 30 Jun 2015
Posts: 53
Location: Malaysia
Schools: Babson '20
GPA: 3.6
Re: If |m-n|=3, is m>n?  [#permalink]

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31 Oct 2016, 13:40
MathRevolution wrote:
If |m-n|=3, is m>n?

1) mn<0
2) The distance between m and 0 is 2

Manager
Joined: 28 Jun 2016
Posts: 207
Concentration: Operations, Entrepreneurship

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31 Oct 2016, 13:42
MathRevolution wrote:
If |m-n|=3, is m>n?

1) mn<0
2) The distance between m and 0 is 2

Statement 1:

If m is positive then n is negative

If m is negative then m is positive

Insufficient

Statement 2:

Insufficient

Statement 1&2:

If m=2, then n=-1; YES

If m=-2, then n=1; NO

Insufficient

E

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Math Revolution GMAT Instructor
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Posts: 6981
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If |m-n|=3, is m>n?  [#permalink]

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02 Nov 2016, 00:20
==>In the original condition, there are 2 variables(m,n) and 1 equation(|m-n|=3), so D is highly likely to be the answer. In the case of 1), (m,n)=(2,-1),(-2,1), so yes and no coexist, hence not sufficient. In the case of 2), you get |m-0|=|m|=2, m=±2, then (m,n)=(2,-1),(-2,1), hence yes/no, so not sufficient.
Through 1) & 2), you get (m,n)=(2,-1),(-2,1), so yes/no, hence not sufficient. The answer is E.

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SVP
Joined: 26 Mar 2013
Posts: 2068
Re: If |m-n|=3, is m>n?  [#permalink]

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11 Mar 2018, 04:57
MathRevolution wrote:
If |m-n|=3, is m>n?

1) mn<0
2) The distance between m and 0 is 2

1) mn<0

This mean that m & n have different signs

Let m= 2 & n= -1........Answer is Yes

Let m=-2 & n= 1........Answer is No

Insufficient

2) The distance between m and 0 is 2

This tells us that |m| = 2...

m could be 2 or -2....Apply same examples above

Insufficient

Combine 1 & 2

Re: If |m-n|=3, is m>n?   [#permalink] 11 Mar 2018, 04:57
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# If |m-n|=3, is m>n?

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