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Each of the numbers x, y, w, and z
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09 May 2015, 11:10
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.
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.
Kudos for the right answer and explanation
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.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #93
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18 May 2015, 06:01
18 May 2015, 06:01
1
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
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
Cheers,
Brent
Re: Each of the numbers x, y, w, and z
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11 Dec 2019, 10:09
11 Dec 2019, 10:09
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