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# What is the value of N? (1) N is the least integer such that

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What is the value of N? (1) N is the least integer such that [#permalink]

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12 Mar 2018, 23:24
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What is the value of N ?

(1) N is the least integer such that (0.0036) * (0.00078) * (6370) * 10^N is an integer.

(2) N is a factor of 64 and N has exactly 4 factors.

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Re: What is the value of N? (1) N is the least integer such that [#permalink]

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13 Mar 2018, 08:37
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amanvermagmat wrote:
What is the value of N ?

(1) N is the least integer such that (0.0036) * (0.00078) * (6370) * 10^N is an integer.

(2) N is a factor of 64 and N has exactly 4 factors.

Posted from my mobile device

Statement I..
(0.0036)*(0.00078)*(6370)*10^n= $$36*10^{-4}*78*10^{-5}*637*10*10^n=36*78*637*10^{-4-5+1+n}$$
So n+1-4-5=0....n=8
Suff

Statement II..
64 has only one PRIME factor 2..
So 4 factors means 2^{3+1} so n =2^3=8
Suff

D
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Re: What is the value of N? (1) N is the least integer such that [#permalink]

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13 Mar 2018, 09:05
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What is the value of N ?

(1) N is the least integer such that (0.0036) * (0.00078) * (6370) * 10^N is an integer.

We need not solve this, it is a (constant No) * 10 ^N, hence least value of N can be found out.
Sufficient.

(2) N is a factor of 64 and N has exactly 4 factors.
Any number N has 4 factors if it is of from (prime)^3 or of the form (Prime1)*(Prime2)
since 64 is 2^6, it has only one prime factor (2)
N is 2^3

Sufficient

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Re: What is the value of N? (1) N is the least integer such that   [#permalink] 13 Mar 2018, 09:05
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