[quote="Rabab36"][quote="gmatophobia"]
Data Sufficiency - Question 1Is |x| + x > |y| + y ?
(1) xy > 0
(2) x + y |y| + y
In other words, is the sum of (distance between x and 0) and (value of x) is
greater than the sum of (distance between y and 0) and (the value of y)
Statement 1We know that x and y lie on same side side of 0.
There can be two scenarios in here.
1) If both the numbers are on the right of zero (i.e. both the numbers are positive), then which ever number is closer to zero will have a less distance from 0 than a number which is farther from zero.
At this stage we just know that the numbers lie to the right of zero, however the position is not known.
2) If both the numbers are on the left of zero then the sum of the modulus of that number and the value of the number is zero.
Hence, if anyhow we land to this scenario, we can answer a definite No.
However, without any other information both the cases are possible, this statement is not sufficient and we can rule out A and D.
Statement 2x + y |y| + y is No.
Hence C.