Bunuel wrote:

Is m/n < mn?

(1) mn is positive

(2) n < -1

Statement 1:

mn positive means both m and n has same sign.

Let’s take m and n positive

M=2, N=2

Value of m/n<mn ( 2/2<2*2) answer yes

M=0.5 , N=0.5

Value of equation ( 0.5/0.5not < 0.5*0.5) answer no

Statement 1 not sufficient

Statement 2:

N negative, but no information about m

M can be zero then answer is no n can be other values answer will be yes.

Not sufficient.

Combine:

We conclude both m and n is negative with n being less than -1.

Now when we divide or multiply two negative it will give result in positive.

And N being less than -1 it will give a yes answer.

E.g.

M=-0.5, N=-1.1

Equation

0.5/1.1< 0.55

So sufficient

Answer C(IMO)

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Regards;

Vishal

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