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Is x = |y-z|? (1) x = y-z (2) y > z

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SVP
SVP
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Joined: 17 Feb 2010
Posts: 1561
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Kudos [?]: 211 [0], given: 6

Is x = |y-z|? (1) x = y-z (2) y > z [#permalink] New post 16 May 2010, 12:50
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (02:18) correct 50% (00:00) wrong based on 3 sessions
Is x = |y-z|?

(1) x = y-z
(2) y > z
Senior Manager
Senior Manager
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Joined: 24 Jul 2009
Posts: 298
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GMAT Tests User
Re: Is x = |y-z|? [#permalink] New post 16 May 2010, 13:08
seekmba wrote:
Is x = |y-z|?

(1) x = y-z
(2) y > z


IMO C

from statement 1:
x= y-z
equation to be checked: x = |y-z|
replace y-z by x
x = |x| >>> This can only be TRUE, if x is positive >>> OR >>>> (y-z > 0)
We don't know sign of (y-z) : Insufficient

From statement 2:
y > z : Insufficient

From 1 and 2: Sufficient

OA plz.
SVP
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Joined: 17 Feb 2010
Posts: 1561
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Kudos [?]: 211 [0], given: 6

Re: Is x = |y-z|? [#permalink] New post 16 May 2010, 13:53
OA is (C). Thank you.
Intern
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GMAT ToolKit User
Re: Is x = |y-z|? [#permalink] New post 17 May 2010, 13:12
X must be positive and X must be y-z.

1) Insufficient because X may be negative. If y= 3 and Z = 4 then X is -1.
2) Insufficient because statement doesn't provide any relation among x,y and z.

Combining 1 and 2 gives a relation among X,Y and Z which is X=Y-Z. Since Y > Z , Y-Z will be always positive.
Consider Y=3, Z=1 then X=1,
Consider Y=3, Z=-1 then X=4
Consider Y=-2, Z=-3 then X=1

Therefore, the answer is C
Re: Is x = |y-z|?   [#permalink] 17 May 2010, 13:12
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