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Senior Manager
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fractions [#permalink]

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New post 10 Jun 2009, 16:11
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If the fraction \(m/n\) is negative, which of the following cannot be true?

1]\(n/m > m/n\)
2] mn < 0
3] n-m >0
4] \(mn^3\) > 0
5] m-n > 0
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Re: fractions [#permalink]

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New post 10 Jun 2009, 16:35
The answer is (4).

Given
\(\frac{m}{n}<0\)

i.e. if m is +ve then n is -ve
or
if n is +ve then m is -ve

Looking at (4)

\(mn^3>0\)

i.e. if m is +ve then \(n^3\) is also +ve (i.e n is +ve)
or
if m is -ve then \(n^3\) is also -ve (i.e. n is -ve)

but that is not what is told to us so (4) cannot be true.

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Re: fractions [#permalink]

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New post 10 Jun 2009, 18:07
D.
The sign of MN^3 had to be -ve as either M or N is -ve (because M/N is -ve).
Remaining all the stmt. are either true or false depending on the values of M and N.

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Re: fractions   [#permalink] 10 Jun 2009, 18:07
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