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What is the value of x/yz?

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What is the value of x/yz?  [#permalink]

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New post Updated on: 02 Nov 2018, 04:15
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What is the value of \(\frac{x}{yz}\)?


(1) \(x = \frac{y}{2}\) and \(z = \frac{2x}{5}\)

(2) \(\frac{x}{z} = \frac{5}{2}\) and \(\frac{1}{y} = \frac{1}{10}\)

Originally posted by financeguy25 on 08 Mar 2009, 19:28.
Last edited by Bunuel on 02 Nov 2018, 04:15, edited 2 times in total.
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What is the value of x/yz?  [#permalink]

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New post 05 Jul 2013, 04:40
What is the value of x/yz?


(1) \(x = \frac{y}{2}\) and \(z = \frac{2x}{5}\). If \(y=10\), then \(x=5\), \(z=2\) and in this case \(\frac{x}{yz}=\frac{5}{20}=\frac{1}{4}\) BUT if \(y=20\), then \(x=10\), \(z=4\) and in this case \(\frac{x}{yz}=\frac{10}{80}=\frac{1}{8}\). Not sufficient.

(2) \(\frac{x}{z} = \frac{5}{2}\) and \(\frac{1}{y} = \frac{1}{10}\). Multiply these two equations: \(\frac{x}{yz}=\frac{5}{20}\). Sufficient.

Answer: B.
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Re: What is the value of  [#permalink]

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New post 02 Nov 2018, 04:16
carcass wrote:
What is the value of \(\frac{x}{yz}\)?

(1) \(x = \frac{y}{2}\) and \(z = \frac{2x}{5}\)

(2) \(\frac{x}{z} = \frac{5}{2}\) and \(\frac{1}{y} = \frac{1}{10}\)


We'll try to simplify and rearrange our data to create x/yz.
This is a Precise approach.

(1) we have x = y/2 --> x/y = 1/2. Multiplying by z = 2x/5 gives xz/y = (2x^2)/(5y), which can have many different values.
Insufficient.

(2) multiplying x/z = 5/2 by 1/y = 1/10 gives x/yz = 5/20, a unique value.
Sufficient.

(B) is our answer.
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Re: What is the value of   [#permalink] 02 Nov 2018, 04:16
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