If N 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 Choose the correct choice from the following answers:
A) z - w = 3(y - x)
B) N is divisible by 8
C) The average of w, x, y, and z is odd
D) N is divisible by 4
E) w + x + 8 = y + z
Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.   N = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12   Focus on the easiest options first. You see that N is not divisible by 8. Answer (N is divisible by 8)
<result>B</result>
If N 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