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Does x + y = 0? (1) xy<0 (2) x2 = y2

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Director
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Does x + y = 0? (1) xy<0 (2) x2 = y2 [#permalink] New post 29 Nov 2005, 07:38
00:00
A
B
C
D
E

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(N/A)

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Does x + y = 0?
(1) xy<0
(2) x2 = y2
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Re: DS - algebra [#permalink] New post 29 Nov 2005, 07:41
shahnandan wrote:
Does x + y = 0?
(1) xy<0
(2) x2 = y2


x2 = y2 ---> x*2=y*2 or x^2=y^2?!
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Re: DS - algebra [#permalink] New post 29 Nov 2005, 07:42
shahnandan wrote:
Does x + y = 0?
(1) xy<0
(2) x2 = y2


Statement1) x is negative and y is positive / x is positive and y is negative
Statmenet2) x = y / x = -y
Statement1&2) x+y=0

I pick (C).
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 [#permalink] New post 29 Nov 2005, 20:03
C.

(1) 1/2*(-1/2)<o, 1/2+(-1/2)=0

1/2*(-1/3) <0 1/2+(-1/3)=1/6 insufficient

(2) 1/2^2=(-1/2)^2 and 1/2^2=1/2^2. the option that x=y has not been excluded by the question stem.

together, also sufficient
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Re: DS - algebra [#permalink] New post 29 Nov 2005, 22:28
shahnandan wrote:
Does x + y = 0?
(1) xy<0
(2) x2 = y2


If stmt2 is X^2=Y^2 then it is C.
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 [#permalink] New post 30 Nov 2005, 01:01
the answer is C, but can someone explain with numbers why only B is not suff .
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 [#permalink] New post 30 Nov 2005, 02:41
shahnandan wrote:
the answer is C, but can someone explain with numbers why only B is not suff .


Statement 2 only says X^2 = y^2
ie. X can be -1 or +1
and Y can be -1 or +1
If x = 1 and y = -1, the equation , x + y = 0 is satisfied.
but x = -1 and y = -1, then the above eq is not satisfied.
So insufficient.

Taking statements 1 and 2,
1 says that xy<0.
ie. either x or y has to be negative and only one of them can be negative.
ie. if x = 1, then y has to be -1.

Hence C. Hope it is clear.
  [#permalink] 30 Nov 2005, 02:41
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