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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]
19 Jul 2015, 08:36
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