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

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If x and y are integers and x<y, what is the value of x+y? [#permalink] New post 26 Apr 2010, 19:54
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If x and y are integers and x<y, what is the value of x+y?

(1) x^y = 4
(2) |x| = |y|
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Nov 2013, 01:52, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: [DS] Value of X+Y [#permalink] New post 26 Apr 2010, 23:28
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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


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)
[X] = [Y] 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
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Re: weird question from private tutor) [#permalink] New post 10 Jan 2011, 10:05
Expert's post
wiut wrote:
if x and y are integers and x<y, what is the value of x+y?

1. x^y=4
2. x absolute = y absolute

it seems weird as obviously the only y that there is not Y which is less than X that satisfies either/both 1 and 2.....


Good question.

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

(1) x^y=4 --> as x and y are integers and x<y then only possible solution is (-2)^2=4 (other integer solutions for x^y=4 are: 2^2=4 and 4^1=4) --> x+y=-2+2=0. Sufficient.

(2) |x|=|y| --> as also x<y then they have opposite signs (x<0<y, so |x|=-x and|y|=y) --> -x=y --> x+y=0. Sufficient.

Answer: D.
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Re: weird question from private tutor) [#permalink] New post 11 Jan 2011, 00:48
goo question.

I missed this choosing A.
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Re: If x and y are integers and x < y, what is the value of x [#permalink] New post 20 Nov 2013, 15:39
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


Should be D fellas

Statement 2: 4 and -4

Let us know the OA please

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Re: If x and y are integers and x < y, what is the value of x [#permalink] New post 20 Nov 2013, 23:15
Expert's post
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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Re: If x and y are integers and x<y, what is the value of x+y? [#permalink] New post 25 Dec 2014, 09:09
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If x and y are integers and x < y, what is the value of x + y? [#permalink] New post 14 Jan 2015, 01:44
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If x and y are integers and x < y, what is the value of x + y? [#permalink] New post 14 Jan 2015, 02:49
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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

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If x and y are integers and x < y, what is the value of x + y?   [#permalink] 14 Jan 2015, 02:49
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