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# If a^1/2 > b > c^2, which of the following could be true?

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Senior RC Moderator
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2251
Location: Pakistan
GPA: 3.39
If a^1/2 > b > c^2, which of the following could be true?  [#permalink]

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19 Oct 2018, 12:00
1
1
00:00

Difficulty:

65% (hard)

Question Stats:

38% (01:48) correct 62% (01:48) wrong based on 65 sessions

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If $$\sqrt{a}$$ > b > $$c^2$$, which of the following could be true?

I. a > b > c
II. c > b > a
III. a > c > b

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

EG

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Director
Joined: 19 Oct 2013
Posts: 508
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Re: If a^1/2 > b > c^2, which of the following could be true?  [#permalink]

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19 Oct 2018, 12:10
1
If $$\sqrt{a}$$ > b > $$c^2$$, which of the following could be true?

I. a > b > c
II. c > b > a
III. a > c > b

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

EG

let a = 9
b = 2
c = 1

Then 9 > 2 > 1 and this maintains the question stem condition.

3 > 2 > 1

c = 1/2
b = 1/3
a = 1/4

1/2 > 1/3 > 1/4 this the second case.

Sqrt of 1/4 = 1/2

1/2 > 1/3 > 1/4 is possible.

Now last case

a > c > b

a = 1/4
c = 1/6
b = 1/8

1/2 > 1/8 > 1/36 possible.

All the cases are possible.

Posted from my mobile device
Re: If a^1/2 > b > c^2, which of the following could be true?   [#permalink] 19 Oct 2018, 12:10
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