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0 > x > y > z > -1

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Senior Manager
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Joined: 20 May 2014
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0 > x > y > z > -1 [#permalink] New post 01 Oct 2017, 22:31
00:00

Question Stats:

33% (00:28) correct 66% (01:25) wrong based on 3 sessions
\(0 > x > y > z > -1\)

Quantity A
Quantity B
x/y
y/z


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 correct solution.
[Reveal] Spoiler: OA
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Director
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Joined: 20 Apr 2016
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Re: 0 > x > y > z > -1 [#permalink] New post 01 Oct 2017, 23:33
2
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Bunuel wrote:
\(0 > x > y > z > -1\)

Quantity A
Quantity B
x/y
y/z


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 correct solution.


Now lets consider two values

1st case let x=-0.1 , y =-0.2 . z =-0.3 (since we have to maintain the statement 0>x>y>z>-1)

Now QTY A = \(\frac{x}{y} = \frac{-0.1}{-0.2} = 0.5\)

QTY B = \(\frac{y}{z}= \frac{-0.2}{-0.3}= 0.6\)

Here QTY b >QTY a

Again if we consider

x=-0.2 , y =-0.4 . z =-0.9

Now QTY A = \(\frac{x}{y}= -\frac{0.2}{-0.4} = 0.5\)

QTY B = \(\frac{y}{z} =\frac{-0.4}{-0.9} = 0.4\)

So QTY a >QTY b.

Hence the option is D
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Re: 0 > x > y > z > -1   [#permalink] 01 Oct 2017, 23:33
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