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

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1430
Location: India
If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!  [#permalink]

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04 Apr 2018, 23:36
1
00:00

Difficulty:

25% (medium)

Question Stats:

80% (00:53) correct 20% (01:32) wrong based on 32 sessions

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

(1) P = 18! - 17!

(2) 17! < P < 18!
Manager
Joined: 05 Feb 2016
Posts: 168
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!  [#permalink]

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04 Apr 2018, 23:42
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
Re: If P is a positive integer, is P divisible by 17? (1) P = 18! - 17!   [#permalink] 04 Apr 2018, 23:42
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