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

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sandy

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GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

If 22 < < 23, which of the following could be the value of x [#permalink]

25 Aug 2018, 15:21

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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

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amorphous

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Re: If 22 < < 23, which of the following could be the value of x [#permalink]

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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Arc29

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Joined: 10 Aug 2018

Posts: 29

Re: If 22 < < 23, which of the following could be the value of x [#permalink]

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

gmatclubot

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