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If 22 < < 23, which of the following could be the value of x

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GMAT Club Legend
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Joined: 07 Jun 2014
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If 22 < < 23, which of the following could be the value of x [#permalink] New post 25 Aug 2018, 15:21
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77% (01:00) correct 22% (01:06) wrong based on 9 sessions
If \(2^2 < \frac{x}{2^6-2^4}< 2^3\), which of the following could be the value of x?
Indicate all such values.

A. 24
B. 64
C. 80
D. 128
E. 232
F. 256
[Reveal] Spoiler: OA

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Re: If 22 < < 23, which of the following could be the value of x [#permalink] New post 26 Aug 2018, 02:13
\(2^2 < \frac{x}{2^4(2^2-1)}<2^3\)
multiplying the given inequality with 2^4 we get,
\(2^6 < x/3 < 2^7\)
multiplying the given inequality with 3 we get,

\(192 < x < 384\)
option E and F satisfy the inequality.
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Re: If 22 < < 23, which of the following could be the value of x [#permalink] New post 31 Aug 2018, 21:16
Answer E,F
solving the inequality we get
4< x/48 < 8
Multiply each side by 48 which gives
192 < x <384
hence E,F
Re: If 22 < < 23, which of the following could be the value of x   [#permalink] 31 Aug 2018, 21:16
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If 22 < < 23, which of the following could be the value of x

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