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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If x= 2^b - (8^8 + 8^6), for which of the following b values is x clos
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23 Mar 2021, 06:00
23 Mar 2021, 06:00
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If x= \(2^b - (8^8 + 8^6)\), for which of the following b values is x closest to 0?
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
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Re: If x= 2^b - (8^8 + 8^6), for which of the following b values is x clos
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23 Mar 2021, 09:38
23 Mar 2021, 09:38
1
GeminiHeat wrote:
If x= \(2^b - (8^8 + 8^6)\), for which of the following b values is x closest to 0?
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
x = \(2^b - (8^8 + 8^6)\)
x = \(2^b - (2^{24} + 2^{18})\)
x = \(2^b - 2^{18}(2^6 + 1)\)
We can assume \((2^6 + 1)\) as \(2^6\) only
Therefore,
x = \(2^b - 2^{18}(2^6)\)
x = \(2^b - 2^{24}\)
\(b = 24\)
Hence, option B
gmatclubot
Re: If x= 2^b - (8^8 + 8^6), for which of the following b values is x clos [#permalink]
23 Mar 2021, 09:38
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