If x > y^2 > Z ^4, which of the following statements : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 10:27

STARTING SOON:

Open Admission Chat with MBA Experts of Personal MBA Coach - Join Chat Room to Participate.

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x > y^2 > Z ^4, which of the following statements

Author Message
TAGS:

Hide Tags

Senior Manager
Joined: 24 Mar 2011
Posts: 457
Location: Texas
Followers: 5

Kudos [?]: 166 [0], given: 20

If x > y^2 > Z ^4, which of the following statements [#permalink]

Show Tags

23 Apr 2011, 14:40
00:00

Difficulty:

35% (medium)

Question Stats:

65% (02:25) correct 35% (00:49) wrong based on 20 sessions

HideShow timer Statistics

If x > y^2 > Z ^4, which of the following statements could be true?

I) x > y > Z
II) z > y > x
III) x > z > y

1) I only
2) I & II only
3) I & III only
4) II & III only
5) I, II & III
[Reveal] Spoiler: OA
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1703 [0], given: 376

Show Tags

24 Apr 2011, 10:42
agdimple333 wrote:
If x > y^2 > Z ^4, which of the following statements could be true?

I) x > y > Z
II) z > y > x
III) x > z > y

1) I only
2) I & II only
3) I & III only
4) II & III only
5) I, II & III

We know between 0 and 1; the higher power of the number is less than lower power of the number.

0.1^4<0.1^2<0.1

Consider 3 numbers between 0 and 1, which are close to one another.
0.1,0.2,0.3

Assign the value as per the option and see whether the stem holds true.

I. x > y > Z
x=0.3
y=0.2; y^2=0.04
z=0.1; z^4=0.0001
x>y^2>z^4
TRUE.

II. z > y > x
z=0.3; z^4=.0081
y=0.2; y^2=0.04
x=0.1
x>y^2>z^4
TRUE.

III. x > z > y
x=0.3
z=0.2; z^4=.0016
y=0.1; y^2=0.01
x>y^2>z^4
TRUE.

Ans: "E"
_________________
SVP
Joined: 16 Nov 2010
Posts: 1672
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 33

Kudos [?]: 514 [0], given: 36

Show Tags

24 Apr 2011, 18:17
x = 6, y = 2, z = 1 => (I) is true

z = 1/5, y = 1/6, x = 1/7 => (II) is true

x = 3/4, y = 1/3, z = 1/2 => (III) is true

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Director
Joined: 21 Dec 2010
Posts: 649
Followers: 17

Kudos [?]: 219 [0], given: 51

Show Tags

19 May 2011, 22:26
ans is E, plug positive numbers and fractions and negative numbers and zero and check.
_________________

What is of supreme importance in war is to attack the enemy's strategy.

VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 17

Kudos [?]: 240 [0], given: 10

Show Tags

19 May 2011, 22:33
x,y,z with values 1,2,3.
0.1,0.4 and 0.5.

gives E
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Re: Inequalities   [#permalink] 19 May 2011, 22:33
Similar topics Replies Last post
Similar
Topics:
11 Is x^2 + y^2 > 3z 6 01 Sep 2013, 10:16
Is x^4 + y^4 > z^4? 1) x^2 + y^2 > z^2 2) x + y > z 2 24 Jul 2011, 09:25
4 Is (x^7)(y^2)(z^3)>0? 18 30 Sep 2010, 05:09
12 Is x^4 + y^4 > z^4 ? (1) x^2 + y^2 > z^2 (2) x+y > 9 30 Jul 2010, 11:54
13 Is x^4 + y^4 > z^4 ? 4 20 Mar 2008, 09:19
Display posts from previous: Sort by