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Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n

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Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 14 Mar 2017, 02:57
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A
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C
D
E

Difficulty:

  85% (hard)

Question Stats:

39% (01:43) correct 61% (01:44) wrong based on 98 sessions

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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 15 Mar 2017, 18:12
1
Bunuel wrote:
Is m ≠ n ?

(1) (m – n)( m + n) < 0
(2) |m + n| < m + n



Dear Bunuel,

Is statement 2 correct? I tried to came up with any numbers to support but I failed.

I doubt that the question has something wrong.
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 16 Mar 2017, 07:09
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2
Is m ≠ n ?

(1) (m – n)(m + n) < 0

If m=n or m=-n...........(m – n)(m + n) =0........this is not the case in fact 1

Therefore, m ≠ n

Sufficient


(2) |m + n| > m + n

Let m=n=-1 ..... |-1 - 1| > -1 - 1.........|-2| > -2........2>2...........Answer is NO

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

Insufficient

Answer: A
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 15 Mar 2017, 05:36
St 1: -n<m<n. therefore m is not equal to n ever. ANSWER

St 2: |m+n|<m+n. therefore m is not equal to n ever. ANSWER

option D
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 15 Mar 2017, 16:22
ByjusGMATapp wrote:
St 1: -n<m<n. therefore m is not equal to n ever. ANSWER

St 2: |m+n|<m+n. therefore m is not equal to n ever. ANSWER

option D


ByjusGMATapp,

How can you conclude that m is not equal to n, if St 2 is just an impossible expression?
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 16 Mar 2017, 06:57
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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New post 05 Aug 2019, 10:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n   [#permalink] 05 Aug 2019, 10:36
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