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What is the greatest integer that will always evenly divide the sum of

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What is the greatest integer that will always evenly divide the sum of [#permalink]

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Re: What is the greatest integer that will always evenly divide the sum of [#permalink]

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Let the three consecutive even integers be 2x , 2x + 2 , 2x + 4
Sum = 2x + 2x + 2 + 2x + 4
= 6x+6 = 6(x+1)
Therefore , 6 will always be a factor .

Answer D
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Re: What is the greatest integer that will always evenly divide the sum of [#permalink]

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New post 05 Dec 2015, 03:10
Skywalker18 wrote:
Let the three consecutive even integers be 2x , 2x + 2 , 2x + 4
Sum = 2x + 2x + 2 + 2x + 4
= 6x+6 = 6(x+1)
Therefore , 6 will always be a factor .

Answer D



Take an example 4+6+8
sum=18 and 18/6=3,is 3 even?

ans should be obtion B
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Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
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Re: What is the greatest integer that will always evenly divide the sum of [#permalink]

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New post 05 Dec 2015, 03:35
RatneshS wrote:
Skywalker18 wrote:
Let the three consecutive even integers be 2x , 2x + 2 , 2x + 4
Sum = 2x + 2x + 2 + 2x + 4
= 6x+6 = 6(x+1)
Therefore , 6 will always be a factor .

Answer D



Take an example 4+6+8
sum=18 and 18/6=3,is 3 even?

ans should be obtion B


Hi RatneshS ,
The term evenly divisible means that the process of division should result in a remainder of 0 .
It does not mean that the quotient of the division should be an even number .
Hope it helps!! :)
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Re: What is the greatest integer that will always evenly divide the sum of [#permalink]

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New post 24 Sep 2017, 06:13
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Re: What is the greatest integer that will always evenly divide the sum of   [#permalink] 24 Sep 2017, 06:13
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