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What is the value of x/yz ? (1) x = y/2 and z = 2x/5 . (2)

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What is the value of x/yz ? (1) x = y/2 and z = 2x/5 . (2) [#permalink] New post 02 Oct 2005, 17:29
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What is the value of x/yz ?

(1) x = y/2 and z = 2x/5 .
(2) x/z = 2/5 and 1/y= 1/10
Senior Manager
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 [#permalink] New post 02 Oct 2005, 17:48
B)

From 1) We have x=y/2, z=2x/5
or 2x=y (or x/y=1/2) and 2x = 5z (or x/z=5/2). Basically we cannot form the term x/yz with these two equations.

2) Multiply the two equations and we get, x/yz= (2/5)*(1/10)= 1/25 => Suffficient.
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 [#permalink] New post 02 Oct 2005, 18:22
vikramm - great explanations!
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Re: DS [#permalink] New post 03 Oct 2005, 01:56
Folaa3 wrote:
What is the value of x/yz ?

(1) x = y/2 and z = 2x/5 .
(2) x/z = 2/5 and 1/y= 1/10


X/yz can be simplified as (x/z) * (1/y)

From statement 1, we get x / y = 1/2 and 1/2 = 5/2x. This answer will vary for every value of x, hence A is not sufficient.

From statement 2, we have x/z= 2/5 and 1/y = 1/10, so multiplying both of them (2/5) * (1/ 10) = 1/25

Hence B is the answer.

Sreen
Re: DS   [#permalink] 03 Oct 2005, 01:56
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