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# What is the least integer value of n such that

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What is the least integer value of n such that [#permalink]  27 Jun 2018, 10:07
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Question Stats:

100% (01:30) correct 0% (00:00) wrong based on 2 sessions
What is the least integer value of $$n$$ such that $$\frac{1}{2^n} < 0.01$$ ?

A. 7

B. 11

C. 50

D. 51

E. None of the above
[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
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Re: What is the least integer value of n such that [#permalink]  28 Jun 2018, 09:10
Carcass wrote:
What is the least integer value of $$n$$ such that $$\frac{1}{2^n} < 0.01$$ ?

A. 7

B. 11

C. 50

D. 51

E. None of the above

We can re write as : $$\frac{1}{2^n} < \frac{1}{100}$$

Now to satisfy the equation $$\frac{1}{2^n}$$ > 100 (Since greater the denominator the smaller the number)

So $$2^7$$ = 128 which is greater than 100

Hence $$\frac{1}{2^n} < 0.01$$ holds correct when the least value of n = 7
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Re: What is the least integer value of n such that   [#permalink] 28 Jun 2018, 09:10
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