Now xy : yz : zx = xy/xyz : yz/xyz : zx/xyz = 1/z : 1/x : 1/y = 1 : 2 : 3.
We need to know x/yz : y/zx = (x/yz)*xyz : (y/zx)*xyz = x^2 : y^2.
Since 1/z : 1/x : 1/y = 1 : 2 : 3, 1/x : 1/y = 2:3.
So x:y is 3:2.
Or x^2 : y^2 = 9:4.
The correct answer is D.
help me to solve it............
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A quick and safe approach would be to plug in values:pzazz12 wrote:If xy : yz : zx = 1 : 2 : 3 then x / yz : y / zx =
A. 1 : 4
B. 1 : 2
C. 3 : 2
D. 9 : 4
E. 3 : 8
xy:yz = 1:2, so x:z = 1:2
yz:zx = 2:3, so y: x = 2:3
Let's plug in x=3, y=2, z=6.
x/yz : y/zx = 3/(2*6) : 2/(6*3) = 1/4 : 1/9 = 9:4.
The correct answer is D.
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ankur.agrawal
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Thanx again guru. Plugging in saved us yet again.GMATGuruNY wrote:A quick and safe approach would be to plug in values:pzazz12 wrote:If xy : yz : zx = 1 : 2 : 3 then x / yz : y / zx =
A. 1 : 4
B. 1 : 2
C. 3 : 2
D. 9 : 4
E. 3 : 8
xy:yz = 1:2, so x:z = 1:2
yz:zx = 2:3, so y: x = 2:3
Let's plug in x=3, y=2, z=6.
x/yz : y/zx = 3/(2*6) : 2/(6*3) = 1/4 : 1/9 = 9:4.
The correct answer is D.
GMATGuruNY wrote:A quick and safe approach would be to plug in values:pzazz12 wrote:If xy : yz : zx = 1 : 2 : 3 then x / yz : y / zx =
A. 1 : 4
B. 1 : 2
C. 3 : 2
D. 9 : 4
E. 3 : 8
xy:yz = 1:2, so x:z = 1:2
yz:zx = 2:3, so y: x = 2:3
Let's plug in x=3, y=2, z=6.
x/yz : y/zx = 3/(2*6) : 2/(6*3) = 1/4 : 1/9 = 9:4.
The correct answer is D.
thank u very much..........
