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Is xy < 0 ?

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Is xy < 0 ? [#permalink] New post 08 May 2012, 02:25
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  25% (medium)

Question Stats:

72% (01:42) correct 28% (00:51) wrong based on 88 sessions
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Re: Is xy < 0 ? [#permalink] New post 08 May 2012, 08:34
Statement 1 => x = y = 0. Sufficient.
Statement 2 => x = y = 0. Sufficient.

Choice D.
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Last edited by GyanOne on 09 May 2012, 02:08, edited 1 time in total.
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Re: Is xy < 0 ? [#permalink] New post 08 May 2012, 11:44
GyanOne wrote:
Statement 1 => |y|/|x| = -5 => x and y are of opposite signs => xy<0. Sufficient.
Statement 2 => |x|/|y| = -5 => x and y are of opposite signs => xy<0. Sufficient.

Choice D.


D as well,
but think about it -
(1) 5|x| + |y| = 0
When is a sum equal to zero? one is negative, one is positive. But || (absolute value?, not sure what is the English for it) can't be negative, thus both |x| an |y| should be equal to zero. This means xy clearly is not < 0, but equal to zero. Sufficient
(2) same thing for this option
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Re: Is xy < 0 ? [#permalink] New post 09 May 2012, 01:42
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GyanOne wrote:
Statement 1 => |y|/|x| = -5 => x and y are of opposite signs => xy<0. Sufficient.
Statement 2 => |x|/|y| = -5 => x and y are of opposite signs => xy<0. Sufficient.

Choice D.


That's not correct.

Is xy < 0?

(1) 5|x| + |y| = 0. Since absolute value is always non-negative then we have that the sum of two non-negative values (5|x| and |y|) is zero, which is only possible if each is zero --> x=y=0 --> xy=0. Sufficient.

(2) |x| + 5|y| = 0. The same here. Sufficient.

Answer: D.
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Re: Is xy < 0 ? [#permalink] New post 27 Nov 2012, 18:32
This was a good problem.

carcass wrote:
Is xy < 0?

(1) 5|x| + |y| = 0

(2) |x| + 5|y| = 0
Re: Is xy < 0 ?   [#permalink] 27 Nov 2012, 18:32
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