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

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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