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Each of the numbers x, y, w, and z

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sandy
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Each of the numbers x, y, w, and z [#permalink] New post   09 May 2015, 11:10
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Each of the numbers x, y, w, and z (not necessarily distinct) can have any of the values 2, 3, 9, or 14.


Quantity A
Quantity B
\(\frac{x}{y}\)
\(wz\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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D
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GreenlightTestPrep
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Re: GRE Math Challenge #93 [#permalink] New post   18 May 2015, 06:01
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sandy wrote:
Each of the numbers x, y, w, and z (not necessarily distinct) can have any of the values 2, 3, 9, or 14.

Quantity A: x/y
Quantity B: wz


Let's see if it's possible for each quantity to be greater than the other.

Since it looks like quantity B can easily be greater than quantity A, let's check that first.
Can quantity B can be greater than quantity A?
Sure. If x = 2, y = 3, w = 14 and z = 14, then we get:
Quantity A: x/y = 2/3
Quantity B: wz = (14)(14)
Since quantity B is greater than quantity A, we can conclude that the correct answer is either B or D

Next, ask Can quantity A can be greater than quantity B?
Here we want to MAXIMIZE the value of quantity A and MINIMIZE the value of quantity B
So, if x = 14, y = 2, w = 2 and z = 2, then we get:
Quantity A: x/y = 14/2 = 7
Quantity B: wz = (2)(2) = 4
Since quantity A is now greater than quantity B, the correct answer is D

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Re: Each of the numbers x, y, w, and z [#permalink] New post   11 Dec 2019, 10:09
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Re: Each of the numbers x, y, w, and z [#permalink] New post   22 May 2020, 15:08
This question is tricky, but the key word here is "not necessarily distinct".
For this reason, we can make anyone bigger than the other.
and since we have 2 solutions, the answer must be D
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Re: Each of the numbers x, y, w, and z [#permalink] New post   23 May 2020, 18:12
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You can plug in the various numbers (as it is "not necessarily distinct", as in, those numbers and letters don't have distinct values) to find that there are instances where one is greater than the other, and vice versa.

For instance, you can end up with A as = to 2/3 or 14/2. You can end up with B as = to 6 or 18.

Answer is D
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Re: Each of the numbers x, y, w, and z [#permalink] New post   15 Jun 2021, 09:15
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In the question, it is saying that it is not necessary that the x,y,w,z has to be different. So they can be the same or different. Therefore there can several possibilities. That's why the Answer is (D).
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Re: Each of the numbers x, y, w, and z [#permalink] New post   16 Aug 2024, 16:41
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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: Each of the numbers x, y, w, and z [#permalink]
16 Aug 2024, 16:41
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