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If 0 < 10^n < 1,000,000, where n is a nonnegative integer, what is [#permalink]
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01 Aug 2017, 01:03
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If 0 < 10^n < 1,000,000, where n is a nonnegative integer, what is [#permalink]
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01 Aug 2017, 01:10
Bunuel wrote: If \(0 < 10^n < 1,000,000\), where n is a nonnegative integer, what is the greatest value of \(\frac{1}{2^n}\)?
A. 1/2 B. 1 C. 5 D. 32 E. 64 Since n is a nonnegative integer n can take 0,1,2,3,4,5 Greatest value in a fraction means n should be smallest i.e. 0 \(1/2^0\) = 1 B
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Re: If 0 < 10^n < 1,000,000, where n is a nonnegative integer, what is [#permalink]
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01 Aug 2017, 01:15
n is a nonnegative integer = N is 0 and all positive integer 0<10n<1,000,000 means Power n can have max value as 5 which will give 100,000 and n can have minimum value as 0 which will make 10n = 1. So n can be 0,1,2,3,4 and 5 So what value can be taken to make 1/2n (Power N)as max value. So minimum can be taken to make 1/2n max ..which is Zero can be taken. So Answer will be 1/1 = 1 == Option (B)
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If 0 < 10^n < 1,000,000, where n is a nonnegative integer, what is [#permalink]
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05 Aug 2017, 09:07
Bunuel wrote: If \(0 < 10^n < 1,000,000\), where n is a nonnegative integer, what is the greatest value of \(\frac{1}{2^n}\)?
A. 1/2 B. 1 C. 5 D. 32 E. 64 \(0 < 10^n < 1,000,000\) 0 < 10^n < 10^6 So, n could be 0,1,2,3,4,5 since n is a nonnegative integer. The greatest value of \(\frac{1}{2^n}\) could be achieved if 2^n is the smallest, i.e. for n = 0 at which the fraction becomes 1/2^0 or 1/1 = 1. Ans B) 1




If 0 < 10^n < 1,000,000, where n is a nonnegative integer, what is
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05 Aug 2017, 09:07






