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# If n is the smallest of three consecutive positive integers, which of

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Math Expert
Joined: 02 Sep 2009
Posts: 50712
If n is the smallest of three consecutive positive integers, which of  [#permalink]

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26 Aug 2018, 05:04
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:40) correct 6% (01:33) wrong based on 31 sessions

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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

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Re: If n is the smallest of three consecutive positive integers, which of  [#permalink]

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26 Aug 2018, 07:05
Bunuel wrote:
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

Product of 3 consecutive positive integers is divisible by 6

$$6 = 3 * 2$$, Thus the Product of 3 consecutive positive integers is divisible by both 2 and 3 , Answer must be (E)
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Re: If n is the smallest of three consecutive positive integers, which of &nbs [#permalink] 26 Aug 2018, 07:05
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