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Is m not equal to n ?

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Is m not equal to n ?  [#permalink]

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New post 27 Jun 2011, 21:17
2
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A
B
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E

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  35% (medium)

Question Stats:

60% (00:39) correct 40% (00:45) wrong based on 327 sessions

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Is m not equal to n ?

(1) m + n < 0
(2) mn < 0

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Re: Is m not equal to n ??  [#permalink]

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New post 27 Jun 2011, 21:56
akhileshgupta05 wrote:
Is m not equal to n ?

(1) \(m+n<0\)
(2) \(mn<0\)

Please give detailed explanation for your answer.


St1: m+n <0
m = -1 n = -1 m+n<0 and m =n
m =-4 n =-1 m+n < 0 but m not equal to n .............. insufficient

st2: mn<0 if the product of 2 numbers is <0 then either of the numbers is <0 and in this case they can be be equal to each other .

hence B
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Re: Is m not equal to n ??  [#permalink]

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New post 28 Jun 2011, 17:46
1
1. Not sufficient

m+n <0 => m<-n

we dont know the sign of n

n........-n ( considering n <0) => as m<-n , by looking at the graph , we can say m may or may not be equal to n

-n........n (considering n>0) as m<-n , by looking at the graph we can say that m is not equal to n

2. Sufficient

mn<0

when m =n

n^2<0 which cannot be true . square of number will always be positive. So we can conclude that m is
not equal to n.

Answer is B.
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Re: Is m not equal to n ??  [#permalink]

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New post 05 Jun 2013, 22:00
Stm1: m+n <0
m = -1 n = -1 m+n<0 and m =n
m =-4 n =-1 m+n < 0 but m not equal to n .............. insufficient

stm2 when mn<0, m or n must be negative & postive....So m not equal to n.
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Re: Is m not equal to n ?  [#permalink]

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New post 06 Jun 2013, 00:38
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Is m not equal to n ?  [#permalink]

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New post 11 May 2014, 11:01
Is m ≠ n ?
(1) m + n < 0
(2) mn < 0

(1) m + n < 0
Let's use numbers:
Take m=-1 and n=-1, then the condition m + n < 0 holds true and m=n
Take m=-2 and n=-1, then the condition m + n < 0 holds true but m≠n
Since we don't get a clear 100% answer, Insufficient!

(2) mn < 0
If mn < 0, either m or n must be negative, and the other variable must be positive. Therefore, m ≠ n
Sufficient!
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Re: Is m not equal to n ?  [#permalink]

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New post 06 Oct 2017, 08:55
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Re: Is m not equal to n ? &nbs [#permalink] 06 Oct 2017, 08:55
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