gmatlbs wrote:

(A) x − z

(E) z − x

Absolute value of both the options are same.

(But the sign of x , y and z is not mentioned....Is it really going to make any difference to this question !!! )

Option A.

It is not known whether x, y and z are positive or negative, but it doesn't matter. We know that x is larger than z, so x-z will be positive and z-x will be negative. We don't need to know the values or the signs.

To double check, pick some values (keeping in mind that x > y > z):

x=10, y=4, z=1

Now the answer choices become:

(A) x − z = 9

(B) x − y = 6

(C) y − x = -6

(D) z − y = -3

(E) z − x = -9

Option (A) is the greatest. A for Ali, obviously.

If you want to be super double extra sure, because you're not convinced that the sign of the numbers doesn't matter, then pick some wild numbers and see if it makes a difference.

x=10, y=0, z=-a bazillion

Now the answer choices become:

(A) x − z = a bazillion + 10

(B) x − y = 10

(C) y − x = -10

(D) z − y = -a bazillion

(E) z − x = -a bazillion - 10

Still (A)

_________________

Dave de Koos

GMAT aficionado