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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
Joined: 02 Nov 2016
Posts: 4106
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, 13:00
1
2
00:00

Difficulty:

75% (hard)

Question Stats:

40% (01:57) correct 60% (01:53) wrong based on 52 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

Source: Experts Global GMAT

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Joined: 19 Oct 2013
Posts: 518
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If a^1/2 > b > c^2, which of the following could be true?  [#permalink]

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19 Oct 2018, 13:10
1
SajjadAhmad wrote:
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.

Answer choice E

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Re: If a^1/2 > b > c^2, which of the following could be true?   [#permalink] 19 Oct 2018, 13:10
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# If a^1/2 > b > c^2, which of the following could be true?

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