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# x| = |y|, Is x/y =1 1) x>0 2) y<0

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Director
Joined: 08 Jul 2004
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x| = |y|, Is x/y =1 1) x>0 2) y<0 [#permalink]  01 Sep 2005, 17:43
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|x| = |y|, Is x/y =1
1) x>0
2) y<0
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Regards, S

SVP
Joined: 05 Apr 2005
Posts: 1733
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Kudos [?]: 38 [0], given: 0

Re: DS Absolute value [#permalink]  01 Sep 2005, 19:17
C. x or y either could be negative or positive...
Director
Joined: 03 Nov 2004
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One more for C.

The question is asking whether x and y share the same signs, we need to know the signs of x & y.
Senior Manager
Joined: 13 Jan 2005
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Kudos [?]: 2 [0], given: 0

C.

Say if this was a linear equation and if you were to solve this, how would you approach it?

|x-y|=|a-b|

1) Square the equation?
or
2) You would start this way?
x-y=(a-b)
x-y=-(a-b)
Director
Joined: 08 Jul 2004
Posts: 604
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Kudos [?]: 82 [0], given: 0

can soembody guide me how to solve this problem?
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Regards, S

Director
Joined: 03 Nov 2004
Posts: 868
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Kudos [?]: 19 [0], given: 0

saurya_s wrote:
can soembody guide me how to solve this problem?

The question is asking whether x/y is 1. The following 2 conditions need to be met to sastify x/y = 1.
1. x & y should have the same value.
2. x & y should have the same sign.

The statement |x| = |Y| tell us that Condition 1 is true, so all we need is to know whether x & y share the same sign.

Statement 1 says that x is +ve but we do not know anything about y, so this is insufficient.
Statement 2 says that y is -ve but we do not know anything about x, so this is insufficient.
Both put together we know that x is +ve and y is -ve so x/y cannot be equal to 1, it will be equal to -1.
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