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# Is |x-y|>|x|-|y| a. y<x b. xy<0

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Manager
Joined: 10 May 2009
Posts: 65
Is |x-y|>|x|-|y| a. y<x b. xy<0 [#permalink]

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05 Jun 2009, 06:29
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Is |x-y|>|x|-|y|

a. y<x
b. xy<0

Senior Manager
Joined: 15 Jan 2008
Posts: 275

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05 Jun 2009, 12:19

1) y<x..

statement is true for y is -ve and X positive..
statemetn is false for y is +Ve and X is positive.

2) one of them is negative and other one is positive..

modx - mod y alwys gives the difference between the absolute values..

where as mod ( x-y) gives more values as one of them is -ve
take x = -1, y = 2.... mod (x-y) gives 3..
take x= 2, y = -1.. mod(x-y) gives again 3..

hence B
Manager
Joined: 11 Aug 2008
Posts: 150

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09 Jun 2009, 00:28
I agree with B. What is the OA?
Manager
Joined: 21 Feb 2008
Posts: 66

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09 Jun 2009, 02:12
prinits wrote:
Is |x-y|>|x|-|y|

a. y<x
b. xy<0

B

st. A is insufficient. Assign x 0 and a positive value and check in both the cases
st. B is a way of stating that a number should be positive and the other, negative.

per st. B, x can be positive or negative and note that when x assumes a positive value (with y negative), the result is clear. To make sure that x always assumes a positive value, st. A is required
_________________

Is this okay?

Re: XY DS   [#permalink] 09 Jun 2009, 02:12
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