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# x > y > w > 0

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Moderator
Joined: 18 Apr 2015
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Kudos [?]: 1028 [0], given: 4631

x > y > w > 0 [#permalink]  08 May 2018, 16:06
Expert's post
00:00

Question Stats:

85% (00:42) correct 14% (54:11) wrong based on 14 sessions
$$x > y > w > 0$$

 Quantity A Quantity B $$\frac{xy}{w}$$ $$\frac{yw}{x}$$

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.
[Reveal] Spoiler: OA

_________________
Manager
Joined: 26 Jan 2018
Posts: 172
Followers: 0

Kudos [?]: 104 [0], given: 3

Re: x > y > w > 0 [#permalink]  09 May 2018, 08:45
I tried using fractions and whole numbers and in both cases its A and hence the answer.
Moderator
Joined: 18 Apr 2015
Posts: 5126
Followers: 76

Kudos [?]: 1028 [0], given: 4631

Re: x > y > w > 0 [#permalink]  09 May 2018, 09:25
Expert's post
Yes. It is. Fixed.

Regards
_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 1232
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Kudos [?]: 1110 [1] , given: 7

Re: x > y > w > 0 [#permalink]  09 May 2018, 13:02
1
KUDOS
Expert's post
Carcass wrote:
$$x > y > w > 0$$

 Quantity A Quantity B $$\frac{xy}{w}$$ $$\frac{yw}{x}$$

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.

We can solve this question using matching operations
Given:
Quantity A: xy/w
Quantity B: yw/x

Since we're told that w is POSITIVE, we can safely multiply both quantities by w to get:
Quantity A: xy
Quantity B: yw²/x

Since we're told that x is POSITIVE, we can safely multiply both quantities by x to get:
Quantity A: x²y
Quantity B: yw²

Since we're told that y is POSITIVE, we can safely divide both quantities by y to get:
Quantity A: x²
Quantity B: w²

If x and w are both positive, AND x > w, then we can be certain that x² > w²

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Re: x > y > w > 0   [#permalink] 09 May 2018, 13:02
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