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# Is the sum of x, y, and z equal to 3? (1) xyz = 1 (2) x, y,

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Intern
Joined: 19 Nov 2004
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Is the sum of x, y, and z equal to 3? (1) xyz = 1 (2) x, y, [#permalink]

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19 Dec 2004, 19:04
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10. Is the sum of x, y, and z equal to 3?

(1) xyz = 1
(2) x, y, and z are each greater than zero

I am lost as to how to treat data set (1) and how (1) and (2) combined can show sufficiency or insufficiency
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Joined: 07 Nov 2004
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21 Dec 2004, 07:38
Pick E

is x+y+z=3?

s1: xyz=1
Assume
a) x=1, y=1/3, z= 3; xyz=1
b) x=y=z=1; xyz=1
c) x=1/2, y=-2, z=-1; xyz=1
Insufficient

s2: x>0, y>0, z>0
Look at a) above x,y,z >0 and x+y+z = 4.3
Look at b) above x,y,z >0 and x+y+z =3
Insufficient

s1+s2: As shown above both a) and b) above satisfy s1+s2 condition.
Insufficient
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