Question:
Is x - y > 0?
(1) x > |y|
(2) y = -3
Hi !
Lets try to analyse and break this question down!
GMAT Track of thought 1
Is x - y > 0?
Its a
YES/NO type of DS question.
x and y can be integers or non integers.
If x>y, the answer to the question stem is a
YES.If x <y or equal to y, then the answer to the question stem is a
NO.So, I need to find out to compare the magnitude of x and y in order to be able to answer this question with a definite YES or definite NO.
GMAT Track of thought 2I will start with statement 2 since its an easy kill.
y=-3 cannot be compared with the other value x, since there is no information of the other variable x.
Knock off B,D. I am down to 3 options, A,C,E.
GMAT Track of thought 3In statement 1, I have x > |y|
Let us deep think !
What is |y| ?
Algebraically, |y| = y when y>0, |y| =-y when y <0 and |y|=0 when y=0
So, rephrasing the statement,
x>y when y>0 (y is positive)
x>y when y<0 (y is negative)
& x is not equal to y since x>|y|, not >=.So, irrespective of y being positive or negative, that is on any side of 0, x is always to the right of y on the number line. Its always greater than y according to the statement.
This implies the difference between x and y has to be positive.
Or, x-y >0. Definite YES as an answer to the question stem.
Knock off C and E.
Correct answer to the question is option A.
Hope you are clear.
Let me know if you are not or have any questions in the comments.
Look forward to help you.
Devmitra Sen
GMAT Mentor