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# Is x = |y - z|?

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Senior Manager
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Is x = |y - z|? [#permalink]  27 Aug 2009, 16:32
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Is x = |y - z|?
(1) x = y -z
(2) y > z

Please provide explainations , I can see that 2nd is required . my confusion is whether 1st is required at all?
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Re: Is x = |y - z|? [#permalink]  27 Aug 2009, 16:50
ichha148 wrote:
Is x = |y - z|?
(1) x = y -z
(2) y > z

Please provide explainations , I can see that 2nd is required . my confusion is whether 1st is required at all?

My choice is both together is required

1) from statement 1, X= y-z, X can be +ve if only Y>Z and this will prove that x =mod (y-Z)

hence we need both the statement
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Re: Is x = |y - z|? [#permalink]  27 Aug 2009, 20:31
ichha148 wrote:
Is x = |y - z|?
(1) x = y -z
(2) y > z

Please provide explainations , I can see that 2nd is required . my confusion is whether 1st is required at all?

Of course, 1st statement is required.

Statement 1: defines a function x=f(y,z)=y-z. Without this definition you know nothing about x. Howerever, it is not sufficient to answer since y-z can be negative, in which case $$\mid y-z\mid =z-y$$
Statement 2: just states that y>z...nothing about x....

Combined, you can answer the question. Since y-z>0, $$\mid y-z\mid =y-z$$
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Re: Is x = |y - z|? [#permalink]  27 Aug 2009, 23:09
Both statements are required. In second we don't have information about x. In first you don't have enough information about x and y to answer a question. Thus C.
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Re: Is x = |y - z|? [#permalink]  27 Aug 2009, 23:46
C,

for 1), (y-z)>0 or (y-z)<0
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Re: Is x = |y - z|? [#permalink]  29 Aug 2009, 10:24
LenaA wrote:
ichha148 wrote:
Is x = |y - z|?
(1) x = y -z
(2) y > z

Please provide explainations , I can see that 2nd is required . my confusion is whether 1st is required at all?

Of course, 1st statement is required.

Statement 1: defines a function x=f(y,z)=y-z. Without this definition you know nothing about x. Howerever, it is not sufficient to answer since y-z can be negative, in which case $$\mid y-z\mid =z-y$$
Statement 2: just states that y>z...nothing about x....

Combined, you can answer the question. Since y-z>0, $$\mid y-z\mid =y-z$$

hummm , thanks , i did not realize that I know nothing about x and 1st provide that relation
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Re: Is x = |y - z|? [#permalink]  29 Aug 2009, 10:57
2
KUDOS
statement 1 is critical it defines a function x=f(y,z)=y-z.
Hence both are required
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Re: Is x = |y - z|? [#permalink]  29 Aug 2009, 11:01
ichha148 wrote:
LenaA wrote:
ichha148 wrote:
Is x = |y - z|?
(1) x = y -z
(2) y > z

Please provide explainations , I can see that 2nd is required . my confusion is whether 1st is required at all?

Of course, 1st statement is required.

Statement 1: defines a function x=f(y,z)=y-z. Without this definition you know nothing about x. Howerever, it is not sufficient to answer since y-z can be negative, in which case $$\mid y-z\mid =z-y$$
Statement 2: just states that y>z...nothing about x....

Combined, you can answer the question. Since y-z>0, $$\mid y-z\mid =y-z$$

hummm , thanks , i did not realize that I know nothing about x and 1st provide that relation

Agreed...C it is...was a good question
Re: Is x = |y - z|?   [#permalink] 29 Aug 2009, 11:01
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