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If s is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT (A) z - w = 3(y - x) (B) s is divisible by 8 (C) The average of w, x, y, and z is odd (D) s is divisible by 4 (E) w + x + 8 = y + z

Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.

s = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12

Focus on the easiest options first. You see that s is not divisible by 8. Answer (B)

Or you can take values: w = 0, x = 2, y = 4, z = 6. Their sum is 12 = s. _________________

Re: If s is the sum of consecutive even integers w, x, y, and z [#permalink]

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19 Jul 2015, 08:36

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Re: If s is the sum of consecutive even integers w, x, y, and z [#permalink]

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21 Jul 2015, 14:08

I am new to the forum, I still do not understand the concept about consecutive integers and inclusive integers and does even numbers factor in? Can someone please explain

Re: If s is the sum of consecutive even integers w, x, y, and z [#permalink]

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21 Jul 2015, 14:17

Expert's post

hyder27 wrote:

I am new to the forum, I still do not understand the concept about consecutive integers and inclusive integers and does even numbers factor in? Can someone please explain

thanks Hyder

"Consecutive" means one after the other.

1,2,3,4,5,6... are consecutive integers while 1,4,5,6,10,15,20... are non consecutive integers.

Even numbers will always be a part of set of consecutive integers (set having more than 1 integers). Any odd integer is followed by an even integer. _________________

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