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

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Manager
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G
Joined: 07 Jun 2017
Posts: 175

Kudos [?]: 88 [0], given: 59

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

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New post 11 Oct 2017, 22:04
1
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A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

38% (01:40) correct 62% (01:33) wrong based on 29 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
[Reveal] Spoiler: OA

_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Kudos [?]: 88 [0], given: 59

Manager
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B
Joined: 04 May 2014
Posts: 152

Kudos [?]: 14 [0], given: 111

Location: India
WE: Sales (Mutual Funds and Brokerage)
If x > y > z, which of the following can be true? [#permalink]

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New post 11 Oct 2017, 22:42
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.

E is the answer

Kudos [?]: 14 [0], given: 111

If x > y > z, which of the following can be true?   [#permalink] 11 Oct 2017, 22:42
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If x > y > z, which of the following can be true?

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