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If n is the smallest of three consecutive positive integers

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If n is the smallest of three consecutive positive integers [#permalink] New post 25 Aug 2018, 00:11
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Question Stats:

100% (00:48) correct 0% (00:00) wrong based on 5 sessions
If n is the smallest of three consecutive positive integers, which of the following must be true?


(A) n is divisible by 3

(B) n is even

(C) n is odd

(D) (n)(n + 2) is even

(E) n(n + 1)(n + 2) is divisible by 3


Source: Manhattan 5lb
[Reveal] Spoiler: OA
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Re: Number System [#permalink] New post 25 Aug 2018, 00:30
Expert's post
The simplest way to go about this is to write this out. Assume two sets of numbers and check each option. The correct option would hold true for all such series.

Case 1: 3, 4, 5

Case 2: 4, 5, 6

Options3, 4, 54, 5, 6
n is divisible by 3trueFalse
n is evenFalseTrue
n is oddTrueFalse
(n)(n + 2) is evenFalseTrue
n(n + 1)(n + 2) is divisible by 3TrueTrue


Hence only option E holds in both cases.
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Re: Number System   [#permalink] 25 Aug 2018, 00:30
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If n is the smallest of three consecutive positive integers

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