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If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!

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If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!  [#permalink]

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New post 04 Apr 2018, 22:36
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Question Stats:

78% (00:46) correct 22% (01:32) wrong based on 29 sessions

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If P is a positive integer, is P divisible by 17?

(1) P = 18! - 17!

(2) 17! < P < 18!
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Re: If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!  [#permalink]

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New post 04 Apr 2018, 22:42
amanvermagmat wrote:
If P is a positive integer, is P divisible by 17?

(1) P = 18! - 17!

(2) 17! < P < 18!


from 1: 17!(18-1)=17!*17

so divisible by 17.

sufficient

from 2:17!+1 not divisible by 17
17!+17 is divisible by 17

so insufficient

Option A
GMAT Club Bot
Re: If P is a positive integer, is P divisible by 17? (1) P = 18! - 17! &nbs [#permalink] 04 Apr 2018, 22:42
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If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!

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