GMAT TIGER 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

x= sum of y consecutive integers.

= (k+1)+(k+2)...+(k+y) (here K can be any integer (+ve or -ve or zero)

= yk+ (1+2+3.. y)

= yk+ y(y+1)/2

x/y = k+(y+1)/2 = k+(2z+1)/2 --> can't be integer because (2z+1) odd number divided by 2 is always fraction number.

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