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# If yz not equal 0, what is the value of 12x/(yz)?

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Intern
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If yz not equal 0, what is the value of 12x/(yz)? [#permalink]

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23 Apr 2015, 15:57
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If yz not equal 0, what is the value of 12x/(yz)?

(1) x/y = 1/4 and 3z = 12

(2) 12y/(xz) = 12
[Reveal] Spoiler: OA

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Last edited by Bunuel on 24 Apr 2015, 02:31, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: If yz not equal 0, what is the value of 12x/(yz)? [#permalink]

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23 Apr 2015, 16:12
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KUDOS
NYCgirl15 wrote:
if yz not equal 0, what is the value of 12x/yz?

(1) x/y=1/4 and 3z=12
(2) 12y/xz=12

1) $$z=4$$; divide equation $$\frac{x}{y}=\frac{1}{4}$$ on $$z$$ and we receive $$\frac{x}{yz} = \frac{1}{16}$$; multiple this result on $$12$$ and receive $$\frac{x12}{yz}= \frac{12}{16}$$; $$\frac{x12}{yz}= \frac{3}{4}$$
Sufficient

2) I think we can't transform this equation $$\frac{12y}{xz}$$ to such form $$\frac{12x}{yz}$$ so
Insufficient.

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Re: If yz not equal 0, what is the value of 12x/(yz)? [#permalink]

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23 Apr 2015, 19:42
NYCgirl15 wrote:
if yz not equal 0, what is the value of 12x/yz?

(1) x/y=1/4 and 3z=12
(2) 12y/xz=12

Statement 1:

if x/y = 1/4 then x is 1 and y=4

if 3z=12 then z=4

12*1/4*4 =12/16 = 3/4

Sufficient.

Statement 2:

12y/xz=12 is insufficient on its own.... I think.

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Re: If yz not equal 0, what is the value of 12x/(yz)? [#permalink]

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25 Apr 2015, 17:02
Hi NYCgirl15,

This DS question can be solved with a mix of basic arithmetic and TESTing VALUES.

We're told that neither Y nor Z is equal to 0. We're asked for the value of 12X/(YZ).

Fact 1: X/Y = 1/4 and 3Z = 12

Here, we know that X and Y are in the ratio of 1 to 4 and that Z = 4. Based on the way the question is written, this ratio data is sufficient. Here's the proof:

IF....
X = 1
Y = 4
Z = 4
The answer to the question is 12(1)/(16) = 3/4

IF....
X = 2
Y = 8
Z = 4
The answer to the question is 12(2)/(32) = 24/32 = 3/4

IF....
X = -3
Y = -12
Z = 4
The answer to the question is 12(-3)/(-48) = -36/-48 = 3/4

The answer to the question is ALWAYS 3/4
Fact 1 is SUFFICIENT

Fact 2: 12Y/(XZ) = 12

IF.....
X = 1
Y = 1
Z = 1
The answer to the question is 12(1)/(1) = 12

IF....
X = 1
Y = 2
Z = 2
The answer to the question is 12(1)/(4) = 3
Fact 2 is INSUFFICIENT

[Reveal] Spoiler:
A

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Re: If yz not equal 0, what is the value of 12x/(yz)? [#permalink]

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09 Nov 2017, 16:24
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If yz not equal 0, what is the value of 12x/(yz)?   [#permalink] 09 Nov 2017, 16:24
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