Uri wrote:Is |x|= y-z?
(1) x + y = z
(2) x < 0
OA: [spoiler](C)[/spoiler] Not sure whether the OA is correct.
My logic:
St 1: x=z-y
Since |x| is always positive, we can modify statement (1) as -x=y-z
Thus, |x|=y-z
St 2: insufficient.
Please check my logic for statement (1).
Hi Uri, I have seen over the past few days that Absolute value seems to be your bugbear.
Here's a great rule to remember....Absolute Value of anything is >OR = Zero.
Thats the same as saying " Abs. Value is Not NEGATIVE"....but my restatement really helps in solving DS.
Let's restate the question now as:
Is y - z => Zero ?
Attack Statement II first, since it's easier to process:
X is NEGATIVE ........we cannot answer the question with this information
Eliminate B and D
Statement I
Rearrange to make it look like the question:
y - z = -x
Again we dont know what X is in this statement....eliminate A
Combining statements we get, y - z = - ( x)
Or ....................................... y - z = - ( Negative number)
Or ....................................... y - z = A POSITIVE NUMBER
ALWAYS
ALWAYS is key, because this answers our DS question as "Always YES".
Therefore Sufficiency is obtained.
C is the correct answer.
For love, not money.