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# If 0 < 10^n < 1,000,000, where n is a non-negative integer,

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Senior Manager
Joined: 20 May 2014
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If 0 < 10^n < 1,000,000, where n is a non-negative integer, [#permalink]  01 Oct 2017, 22:17
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Question Stats:

42% (00:41) correct 57% (00:57) wrong based on 7 sessions
If $$0 < 10^n < 1,000,000$$, where n is a non-negative integer, what is the greatest value of $$\frac{1}{2^n}$$?

A. 1/2
B. 1
C. 5
D. 32
E. 64

Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
Posts: 948
WE: Engineering (Energy and Utilities)
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Re: If 0 < 10^n < 1,000,000, where n is a non-negative integer, [#permalink]  01 Oct 2017, 23:10
Bunuel wrote:
If $$0 < 10^n < 1,000,000$$, where n is a non-negative integer, what is the greatest value of $$\frac{1}{2^n}$$?

A. 1/2
B. 1
C. 5
D. 32
E. 64

Kudos for correct solution.

In the fraction, the greater the value of n the lower the $$\frac{1}{2^n}$$.

here the value of n should be between 0 to 5

so $$\frac{1}{2^0}$$ = 1

$$\frac{1}{2^1}$$ = 0.5

$$\frac{1}{2^2}$$ = 0.25

similarly $$\frac{1}{2^5}$$ = 0.031.

Hence option B is correct.
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Re: If 0 < 10^n < 1,000,000, where n is a non-negative integer,   [#permalink] 01 Oct 2017, 23:10
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