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# If the sum of 6 consecutive integers is x, which of the

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Manager
Joined: 12 Oct 2011
Posts: 131
GMAT 1: 700 Q48 V37
GMAT 2: 720 Q48 V40
Followers: 4

Kudos [?]: 155 [0], given: 23

If the sum of 6 consecutive integers is x, which of the [#permalink]

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08 Apr 2012, 06:55
00:00

Difficulty:

35% (medium)

Question Stats:

53% (01:41) correct 47% (00:14) wrong based on 19 sessions

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If the sum of 6 consecutive integers is x, which of the must be true?

I. x is even
II. x is odd
III. x is a multiple of 3

A) I only
B) II only
C) III only
D) I and III
E) II and III
[Reveal] Spoiler: OA
Intern
Joined: 17 Sep 2011
Posts: 45
GMAT 1: 660 Q43 V38
Followers: 0

Kudos [?]: 66 [0], given: 36

Re: If the sum of 6 consecutive integers is x, which of the [#permalink]

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08 Apr 2012, 07:38
sum of 6 consecutive integers

= (n) + (n+1) + (n+2) + (n+3) + (n+4) + (n+5)

= 6n + 15

= even + odd = odd

= 3(2n+5) = divisible by 3

Hence, x is odd and divisible by 3.

Re: If the sum of 6 consecutive integers is x, which of the   [#permalink] 08 Apr 2012, 07:38
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