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

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If a is an integer greater than zero, then a(a + 1)(a + 3) is  [#permalink]

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New post Updated on: 26 Sep 2018, 12:50
2
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

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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.
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Re: If a is an integer greater than zero, then a(a + 1)(a + 3) is  [#permalink]

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New post 26 Sep 2018, 20:04
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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Re: If a is an integer greater than zero, then a(a + 1)(a + 3) is  [#permalink]

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New post 26 Sep 2018, 21:01
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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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