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

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Math Expert
Joined: 02 Aug 2009
Posts: 8289
If x^2>y>z^2, then which of the following could be true?  [#permalink]

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01 Dec 2019, 04:57
00:00

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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Posts: 5466
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Concentration: Sustainability, Marketing
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If x^2>y>z^2, then which of the following could be true?  [#permalink]

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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
If x^2>y>z^2, then which of the following could be true?   [#permalink] 01 Dec 2019, 05:11
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