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# N is the sum of X consecutive positive integers, is N divisible by 5?

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Retired Moderator
Joined: 22 Aug 2013
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N is the sum of X consecutive positive integers, is N divisible by 5?  [#permalink]

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16 Jul 2018, 11:18
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25% (medium)

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79% (01:00) correct 21% (01:25) wrong based on 22 sessions

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N is the sum of X consecutive positive integers, is N divisible by 5?

(1) X = 5.

(2) N is divisible by 10.
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Joined: 24 Aug 2016
Posts: 802
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: N is the sum of X consecutive positive integers, is N divisible by 5?  [#permalink]

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16 Jul 2018, 12:42
amanvermagmat wrote:
N is the sum of X consecutive positive integers, is N divisible by 5?

(1) X = 5.

(2) N is divisible by 10.

Statement 02: If N is divisible by 10 .... Definitely it will be divisible by 5..........SUFFICINT
Statement 01: x=5, say the numbers be n, n+2 , n+4 , n+6 , n+8 (n=1,2......)
hence, N=n + n+2 + n+4 + n+6 + n+8 =5n+20
hence N/5=n+4......... hence N is divisivle by 5........................................SUFFICIENT ...... Ans D.
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Re: N is the sum of X consecutive positive integers, is N divisible by 5?   [#permalink] 16 Jul 2018, 12:42
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