1. Statement 1 tells us that xyz<0
Which basically means that either all 3 are negative or one of them is negative. We can draw two scenarios of a number line where z is between x
and where z
is on the right of x
on the left of x
and maintain the condition that all three are negative. Hence Insufficient.
2. Statement 2 tells us that xy<0
Which basically means that either x
is negative or y
is negative. No statement about z
so obviously insufficient.
Now together we know that if either x
are negative, and one of them is positive, z
has to be positive. So again we draw two scenarios on the number line and we find that two cases are possible, one where z
is in the middle and one where it is not. Hence both statements combined are insufficient as well.
.. I am attaching a diagram to illustrate.
Number Line.jpg [ 105.17 KiB | Viewed 11558 times ]
"Nowadays, people know the price of everything, and the value of nothing." Oscar Wilde