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Joined: 25 Sep 2018
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Location: United States (CA)
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GMAT 1: 640 Q47 V30 GPA: 3.97
WE: Investment Banking (Investment Banking)
If a is an integer greater than zero, then a(a + 1)(a + 3) is  [#permalink]

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2
3 00:00

Difficulty:   15% (low)

Question Stats: 84% (01:40) correct 16% (01:31) wrong based on 90 sessions

### HideShow timer Statistics If a is an integer greater than zero, then a(a + 1)(a + 3) is

A) Even only when a is even
B) Even only when a is odd
C) odd whenever a is odd
D) Divisible by 3 only when a is odd
E) Divisible by 4 whenever a is odd

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Originally posted by Abhi077 on 26 Sep 2018, 12:44.
Last edited by Bunuel on 26 Sep 2018, 12:50, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert V
Joined: 02 Aug 2009
Posts: 7764
Re: If a is an integer greater than zero, then a(a + 1)(a + 3) is  [#permalink]

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Abhi077 wrote:
If a is an integer greater than zero, then a(a + 1)(a + 3) is

A) Even only when a is even
B) Even only when a is odd
C) odd whenever a is odd
D) Divisible by 3 only when a is odd
E) Divisible by 4 whenever a is odd

Now a and a+1 are consecutive integers, so the product a(a+1)(a+3) will always be even..
Choices A,B and C are out

Now, a, a+1, a+2, a+3 are 4 consecutive integers, so one of them is surely a multiple of 3..
If a is a multiple of 3, the product will also be a multiple of 3.. but X can be 3 or 6 too
So eliminate D

Ans is E
Let's see
When a is ODD a+1and a+3 both will be even , so the product will be a multiple of 4... Rather a multiple of atleast 8
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Math Expert V
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Posts: 56300
Re: If a is an integer greater than zero, then a(a + 1)(a + 3) is  [#permalink]

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Abhi077 wrote:
If a is an integer greater than zero, then a(a + 1)(a + 3) is

A) Even only when a is even
B) Even only when a is odd
C) odd whenever a is odd
D) Divisible by 3 only when a is odd
E) Divisible by 4 whenever a is odd

This is a copy of the following OG question: https://gmatclub.com/forum/if-n-is-a-po ... 16251.html
_________________ Re: If a is an integer greater than zero, then a(a + 1)(a + 3) is   [#permalink] 26 Sep 2018, 21:01
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# If a is an integer greater than zero, then a(a + 1)(a + 3) is  