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# If x > y > z, which of the following can be true?

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Manager
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
If x > y > z, which of the following can be true?  [#permalink]

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11 Oct 2017, 21:04
1
00:00

Difficulty:

85% (hard)

Question Stats:

54% (02:37) correct 46% (01:54) wrong based on 65 sessions

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If $$x > y > z$$, which of the following can be true?

I. $$\frac{x}{y} >\frac{y}{z}$$

II. $$\frac{z}{x}>\frac{y}{x}$$

III. $$\frac{z}{y}>\frac{x}{y}$$

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

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Naveen
email: nkmungila@gmail.com
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Manager
Joined: 03 May 2014
Posts: 161
Location: India
WE: Sales (Mutual Funds and Brokerage)
If x > y > z, which of the following can be true?  [#permalink]

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11 Oct 2017, 21:42
Initially, i got (I) as wrong but additional plugin helped. The process given is lengthy but could not think of any other way

Plug in values
Since we are given that x>y>z then x,y and can be positive, negative or fraction.
This is could be question so we need one value which satisfies the given inequality.

Let
X=3, Y=2, & Z=1
X=-1,Y=-2, & Z=-3
X=0.8, Y=0.5, & Z=0.2
X=1, Y=1/3, & Z=1/4.

I. $$\frac{x}{y}$$>$$\frac{y}{z}$$=(1)/(1/3)>(1/3)/(1/4) or 3>(4/3)-possible

II. $$\frac{z}{x}$$>$$\frac{y}{x}$$=(-3)/(-1)>(-2)/(-1) or 3>2-possible

III. $$\frac{z}{y}$$>$$\frac{x}{y}$$=(-3)/(-2)>(-1)/(-2) or 3/2>1/2 or 1.5>0.5-possible.

If x > y > z, which of the following can be true? &nbs [#permalink] 11 Oct 2017, 21:42
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