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Retired Moderator

Joined: **07 Jun 2014 **

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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

Expert Reply

1

Bookmarks

Question Stats:

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

_________________

Indicate all such values.

A. 24

B. 64

C. 80

D. 128

E. 232

F. 256

_________________

Sandy

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Re: If 22 < < 23, which of the following could be the value of x
[#permalink]
26 Aug 2018, 02:13

1

Bookmarks

\(2^2 < \frac{x}{2^4(2^2-1)}<2^3\)

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.

_________________

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.

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos

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

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]
19 Aug 2021, 07:26

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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