If x and y are integers and x

Question

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

(1) x^y = 4
(2) |x| = |y|

nverma · Answer

Answer D

if X and Y are both integers and X < Y

USING 1)
x pow y = 4
is only possible when x = -2 and y = 2
sufficient

USING 2)
  =   and x < y, this can only happen if X and Y are on opposite side Zero. For example Y=5, and X=-5
sufficient
X+y =0

Bunuel · Answer

Good question. If x and y are integers and x as x and y are integers and x x+y=-2+2=0. Sufficient. (2) |x|=|y| --> as also x -x=y --> x+y=0. Sufficient. Answer: D.

jlgdr · Answer

Should be D fellas Statement 2: 4 and -4 Let us know the OA please Cheers Kudos Rain! J

KarishmaB · Answer

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

Cadaver · Answer

Case 1....x^y = 4....Take y = 2, x = -2...x+y = 0......You cant take y=x=2 as y>x.
You cant take x = 4, y = 1 again y>x
Sum = 0

Sufficient.

Case 2 .... |x| = |y| only possible when x is -ve as y>x....so again sum = 0

Sufficient.

Answer D

guialain · Answer

I really like this question, though i missed the right answer.
the kind of question testing the concepts. does not require any heavy calculation.

Big up:

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards