sh00nya wrote:

If x and y are integers and x < y, what is the value of x + y?

(1) x^y = 4

(2) |x| = |y|

Edited for typo

The question has very simple fundamentals but it is still tricky, mainly because it gives you a part of the information in the question stem. We often forget to consider that when we are busy analyzing the statements.

x and y are integers

x < y

Question: (x + y) = ?

(1) x^y = 4

This can happen in a number of ways:

x= 2, y = 2

x = -2, y = 2

x = 4, y = 1

But in only one case, x < y. x must be -2 and y must be 2.

x + y = 0

Sufficient

(2) |x| = |y|

This can happen in two ways:

x = y (x and y have same sign and absolute value)

or x = -y (x and y have opposite signs and same absolute value)

Since x < y, x must be negative and y must be positive. (they both cannot be positive since their absolute value is the same but x < y)

In that case x = -y

x+y = -y+y = 0

Sufficient

Answer D

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Karishma

Veritas Prep GMAT Instructor

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