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Founder  Joined: 18 Apr 2015
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What is the least integer value of n such that [#permalink]
Expert's post 00:00

Question Stats: 75% (01:24) correct 25% (01:48) wrong based on 8 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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Director Joined: 20 Apr 2016
Posts: 864
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 645 , given: 141

Re: What is the least integer value of n such that [#permalink]
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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Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html Re: What is the least integer value of n such that   [#permalink] 28 Jun 2018, 09:10
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