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If x^2>y>z^2, then which of the following could be true?

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If x^2>y>z^2, then which of the following could be true?  [#permalink]

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New post 01 Dec 2019, 04:57
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

40% (02:32) correct 60% (01:49) wrong based on 35 sessions

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If \(x^2>y>z^2\), then which of the following could be true?
(I) \(x>y\) and \(y=z\)
(II) \(y>x>z\)
(III) \(y>z>x\)

(A) Only II
(B) Only I and II
(C) Only II and III
(D) All the three
(E) None of the three

Chetan's question

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If x^2>y>z^2, then which of the following could be true?  [#permalink]

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New post 01 Dec 2019, 05:11
its could be true
\(x^2>y>z^2\)

#1\(x>y\) and \(y=z\)
possible ; x= 2, y = 1/2 and y=z=1/2
true
option 2
\(y>x>z\)
x=4,y=5 , z=1
so \(x^2>y>z^2\) true
option 3
\(y>z>x\)
x=-4,y=2 , z=1
so \(x^2>y>z^2\) true

IMO D

chetan2u wrote:
If \(x^2>y>z^2\), then which of the following could be true?
(I) \(x>y\) and \(y=z\)
(II) \(y>x>z\)
(III) \(y>z>x\)

(A) Only II
(B) Only I and II
(C) Only II and III
(D) All the three
(E) None of the three

Chetan's question
GMAT Club Bot
If x^2>y>z^2, then which of the following could be true?   [#permalink] 01 Dec 2019, 05:11
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If x^2>y>z^2, then which of the following could be true?

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