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If y ≠ 2xz, what is the value of (2xz + yz

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Aug 03, 2017 9:28 pm
jjjinapinch wrote:If y ≠ 2xz, what is the value of (2xz + yz)/(2xz - y)?
1) 2x + y = 3
2) z = 2

Official Guide question
Answer: E
Given: y ≠ 2xz

To get: Value of (2xz + yz)/(2xz - y)

= (2xz + yz)/(2xz - y) = z(2x + y)/(2xz - y)

Statement 1: 2x + y = 3

=> z(2x + y)/(2xz - y) = 3z/(2xz - y).

We do not have the value of z and (2xz - y). Insufficient.

Statement 1: z = 2

=> z(2x + y)/(2xz - y) = 2(2x + y)/(4x - y).

We do not have the value of (2x + y) and (4x - y). Insufficient.

Statement 1 & 2:

z(2x + y)/(2xz - y) = 2*3/(4x - y) = 6/(4x - y).

We do not have the value of (4x - y). Insufficient.

The correct answer: E

Hope this helps!

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by Scott@TargetTestPrep » Fri Dec 08, 2017 7:19 am
jjjinapinch wrote:If y ≠ 2xz, what is the value of (2xz + yz)/(2xz - y)?
1) 2x + y = 3
2) z = 2
We can start by simplifying the question:

(2xz + yz)/(2xz - y) = ?

z(2x + y)/(2xz - y) = ?

Statement One Alone:

2x + y = 3

Although statement one provides a value for 2x + y, we still do not have a value for z or 2xz -y. Thus, statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone

z = 2

Although statement two provides a value for z, we still do not have a value for 2xz - y or 2x + y. Thus, statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Using statements one and two, we have values for z and 2x + y. However, since we still do not have a value for 2xz - y, we do not have enough information to answer the question.

Answer: E

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