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Crazy Consecutives

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Crazy Consecutives

by yourshail123 » Sat Nov 03, 2012 2:25 pm
x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT
A) x = w
B) x > w
C) x/y is an integer
D) w/z is an integer
E) x/z is an integer
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by pemdas » Sun Nov 04, 2012 4:02 am
yourshail123 wrote:x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT
A) x = w
B) x > w
C) x/y is an integer
D) w/z is an integer
E) x/z is an integer
y=2z implies we have even number of the consecutive integers (y number), and the average (x/y) will never be an integer. Hence we pick c)

answer c)
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