Bunuel wrote:
If\( xyz <0\) , is\( x <0\) ?
(1)\( x - y <0\)
(2)\( x - z <0\)
We can simply imagine a number line and solve this question in moments.
Given xyz < 0 which means that either exactly 1 of them is negative or all three are negative. None of them is 0.
Question: "Is x negative?"
Statement 1: x - y < 0
means x < y
So x is to the left of y on the number line (check the Number Line module)
Is x negative? It may or may not be. All three could be negative so x may be. Only z could be negative so x may not be. Not Sufficient
Statement 2: x - z < 0
x < z
So x is to the left of z too.
Is x negative? It may or may not be. All three could be negative so x may be. Only y could be negative so x may not be. Not Sufficient
Together I know that x is the smallest one. So if all three are negative, x is negative. If only one of them is negative, then it must be x which is negative because it must be the smallest.
Answer (C)
Check this post on how to use the Number Line:
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Statistics : Posted by KarishmaB • on 27 Jun 2014, 10:21 • Replies 10 • Views 13660
