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What is the value of N? (1) 10^N is the least positive integer which

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What is the value of N? (1) 10^N is the least positive integer which [#permalink]

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New post 08 Apr 2018, 05:11
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

79% (02:11) correct 21% (04:06) wrong based on 33 sessions

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What is the value of N?

(1) 10^N is the least positive integer which is divisible by both 5^8 and 4^4.

(2) N is the least positive integer such that product of all integers from 1 to N, inclusive, is divisible by 128.
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Joined: 30 Mar 2017
Posts: 123
GMAT 1: 200 Q1 V1
What is the value of N? (1) 10^N is the least positive integer which [#permalink]

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New post 08 Apr 2018, 07:39
I think it's D.

Statement 1
5^8 and 4^4 have to both divide 10^N, where N is minimized. We can find N (i.e. there exists a smallest N such that 10^N is divisible by both 5^8 and 4^4). Sufficient.

Statement 2
128 has to divide N!, where N is minimized. We can find N (i.e. there exists a smallest number N such that N! is div by 128). Sufficient.
What is the value of N? (1) 10^N is the least positive integer which   [#permalink] 08 Apr 2018, 07:39
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