Is |x| |y| ? (1) x - y 0 (2) y 0

Question

Is |x| > |y| ?

(1) x - y > 0
(2) y > 0

New Question !!

Harsh9676 · Answer

IMO C

St1: Yes , if x and y are positive 
 No, of x is 0 and Y is negative
 Not sufficient

St2: Alone not sufficient as we do not know abt x

Combined : sufficient . Case 1 in statement 1.

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Archit3110 · Answer

#1
X-Y>0
possible when X=1 and y=-1 
And X=2 and y=+/-1
|X|>|y| insufficient
#2
No info about X insufficient
From 1&2 
X has to be >y to get X-Y>0
Option C

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yashikaaggarwal · Answer

Is |x| > |y| ?

(1) x - y > 0
add Y on both sides
X > Y, which means positive X is Greater than positive Y, 
but what about negative values ?
if we reverse signs the greater than sign will also change.
-X < -Y 
(Insufficient)

(2) y > 0
No Information regarding X (Insufficient)

1&2 together : X>Y, And Y > 0 so X is Definitely greater than Y. (sufficient)
IMO C

GMATinsight · Answer

Question : Is |x| > |y| ?

Statement 1 : x - y > 0

i.e. x > y
 Case 1 : x = 2 y = 1, |x| > |y|
 Case 2 : x = 2 y = -3, |x| < |y|

NOT SUFFICIENT

Statement 2 : y > 0

No information about x to compare with y hence

NOT SUFFICIENT

Combining the statements

SInce y>0 and x > y

i.e. Both x and y are positive and on number line x is to the right of y because x > y
i.e. |x| > |y|

SUFFICIENT

Answer: Option C

Is |x| > |y| ? (1) x - y > 0 (2) y > 0

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