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Manager
Manager
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Joined: 05 Jul 2006
Posts: 199
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PS- x, y, z [#permalink] New post 27 Sep 2006, 17:05
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A
B
C
D
E

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x>y^2>z^4 which of the following could be true?

1. x>y>z

2. z>y>x

3. x>z>y

1. 1.
2. 1 & 2

3. 1 & 3

4. 2 & 3

5. 1& 2&3
Manager
Manager
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Joined: 28 Aug 2006
Posts: 245
Location: Albuquerque, NM
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 [#permalink] New post 27 Sep 2006, 17:20
x>y^2>z^4 which of the following could be true?

1. x>y>z

2. z>y>x

3. x>z>y


This question had me initially when I tried to do it in hurry, but I think I figured it out, another one of those where you have to consider lot of cases


Ok case 1 is easy: say x =9, y = 2, z = 1 then x > y^2 > z^4

Suppose X = 9, Z = 1/2, y = -1 or x >z >y, case 3
Then x > y^2 > z^4

Suppose z = 0.6, then Z^4 = 0.1296, y = 0.5, then y = 0.25, x = 0.4

then z > y >x

but x > y^2 > z^4

so all three cases are possible

Answer is E
Manager
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 [#permalink] New post 28 Sep 2006, 01:18
my answer is E

I can be true if let's say
X=6, y=2 and Z=1

II can be true if
x=1/4, y=1/3, z=1/2

III can be true if
X=6, y=-2, z=1
SVP
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Joined: 05 Jul 2006
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 [#permalink] New post 28 Sep 2006, 10:58
x>y^2>z^4 which of the following could be true?

1. x>y>z

2. z>y>x

3. x>z>y

from one x = 16 y=3,z=1.....could be true

2 .
z,y,x are fractions ( positive)

z = 1/2 , y = 1/3, x = 1/4 could be true

from three

x = 1/2 , z= 1/3 , y = 1/4

all of them could be true
Senior Manager
Senior Manager
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Joined: 13 Sep 2006
Posts: 282
Location: New York
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 [#permalink] New post 29 Sep 2006, 08:10
One more for E (question ask what "could" be true not what "must" be true). Using integers and fractions all three statements could occur.
  [#permalink] 29 Sep 2006, 08:10
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