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IneqP) If x and y are non-zero integers and |x| + |y| = 32,

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IneqP) If x and y are non-zero integers and |x| + |y| = 32, [#permalink] New post 29 Oct 2008, 00:30
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(IneqP)

If x and y are non-zero integers and |x| + |y| = 32, what is xy?

(1) -4x – 12y = 0
(2) |x| – |y| = 16
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Re: DS : MODULUS [#permalink] New post 29 Oct 2008, 01:12
A.

From stmt1: x = -3y. Hence, |-3y| + |y| = 32 or 4|y| = 32 or y = |8|
If, y = 8, x = -24, if y = -8, x = 24 and xy = -24*8. Sufficient.

From stmt2: 2|x| = 48 or |x| = 24 and |y| = 8. Insufficient as xy can be 24*8 or -24*8.
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Re: DS : MODULUS [#permalink] New post 29 Oct 2008, 01:28
scthakur wrote:
A.

From stmt1: x = -3y. Hence, |-3y| + |y| = 32 or 4|y| = 32 or y = |8|
If, y = 8, x = -24, if y = -8, x = 24 and xy = -24*8. Sufficient.

From stmt2: 2|x| = 48 or |x| = 24 and |y| = 8. Insufficient as xy can be 24*8 or -24*8.


you're right..i dropped the abs value signs too early when adding the two equations..should be A
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Re: DS : MODULUS [#permalink] New post 29 Oct 2008, 02:08
A it is :)
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Re: DS : MODULUS   [#permalink] 29 Oct 2008, 02:08
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